{"meta":{"key":"r032--pass-02","task":"R032","title":"Bounded plain-text mathematical addendum to section 6","parent_title":"Repaying without a formal program","edition":"pass-02","path":"/research/r032--pass-02/","kind":"split_pass","category":"subject","role":"primary_area","area_numbers":[32],"groups":["ways-forward"],"date":"2026-10-28","tables":7,"claims":29,"sources":1,"review_status":"reviewed_plaintext_repair_resolved_with_evidence_and_application_holds","review_complete":true,"sha256":"2e5b50d323c0d3cb29d05554aa0c14864fc32350b3615abc1f4f7a7adff55902","headings":["Bounded plain-text mathematical addendum to PASS-01, section 6","1. Supplied-context source/read register","2. Complete assumptions retained","3. Repaired formulas and payment sequence","F001 — Variables, units, indexing and rounding","F002 — Interest, after-interest balance, minimums and extra available","F003 — Target timing, cap and same-period reallocation","F004 — Actual payments, closing balances and unused budget","4. Verification of the six original rows","Original M001 — Smallest-first, V001-V003","Original M002 — Highest-rate-first, V004-V006","Six-row verification table","5. Complete reconciliations in ASCII","Original M001 / C057 — Smallest-first totals","Original M002 / C058 — Highest-rate-first totals","Original M003 / C059 — Conditional differences and closure timing","6. Atomic R032-P2 claim register","7. Correction crosswalk to the original report","8. Compact coverage table","9. Remaining gaps and researcher self-check","Explicit remaining gaps","Researcher self-check — not independent review"],"generation_provenance":{"actual_route":"regular_chat_adaptive_models","actual_model":"GPT-6","actual_mode":"Pro","provenance_limit":"Actual documented capture labels only; missing labels remain unknown. No preferred setting is inferred as actual execution."},"public_id":"R032/pass-02","facets":{"geography":["us"],"debt_type":[],"stage":[],"subject":["interest-charges-math"]},"scope":"Boundedplaintextformula/reconciliation/assumption/crosswalkaddendum ONLY;no newresearch/model/parentcoverage","pending_corrections":0},"markdown":"# SettleADebt R032 PASS-02\n\n## Bounded plain-text mathematical addendum to PASS-01, section 6\n\n**The supplied six rows and all original numerical conclusions reconcile. No numerical correction is needed; the values remain unchanged.** This addendum repairs the displayed formulas, makes the payment sequence explicit, and maps the repair to original C056-C060 and M001-M003.\n\nThe only input is the prior-report context supplied in your message. This is not fresh primary-source access or independent review. All original source, claim, coverage, nonbinding-education, visual, edition, legal, contractual, behavioral, internal-tooling and parent limitations remain in force. No component, parent, operational or publication acceptance is asserted.\n\nEvery formula and reconciliation below is in a literal ASCII text code block. Tables contain descriptive findings and values, not math-renderer expressions.\n\n## 1. Supplied-context source/read register\n\n| Source ID | Supplied source and provenance | Exact material read for this addendum | Access and evidentiary status |\n| --- | --- | --- | --- |\n| **R032-P2-S001** | User-supplied context attributed to saved rendered **R032 PASS-01**, response **09906481-1224-5521-b1a6-31fafe715bbc**, section 6, original C056-C060 and M001-M003. | The complete assumptions reproduced in the request; all six period rows; interest, payment, balance, difference and unused-budget reconciliations; closure timing; stated limitations. | Read from the present message. No new primary retrieval, source-access date or URL is asserted. The immutable saved artifact and the coordinator’s separate work were not inspected for this addendum. The supplied context is the input; the visible arithmetic below is a self-check against it. |\n\n**Reference convention:** S001 means R032-P2-S001. F001-F004 label formula blocks; V001-V006 label checks of the six original rows. M001-M003 retain their **original PASS-01 meanings**.\n\n## 2. Complete assumptions retained\n\nThe following restates the supplied assumptions without changing the scenario.\n\nPlain text\n```\nASSUMPTIONS RETAINED FROM ORIGINAL C056\n\n1. There are only two abstract buckets, A and B.\n   No person, entity, creditor or account is represented.\n   Monetary amounts are measured in the abstract unit u.\n\n2. Initial balances:\n   B[A,0] = 20.00 u\n   B[B,0] = 40.00 u\n   Initial total = 20.00 u + 40.00 u = 60.00 u\n\n3. Constant decimal rates for one model period:\n   r[A] = 0.01\n   r[B] = 0.03\n   These are not annual rates and are not an APR.\n\n4. Available payment budget:\n   P[t] = 30.00 u for each modeled period until both buckets are paid.\n   This amount is stipulated available only for these two buckets.\n   No actual affordability finding is made.\n\n5. Housing, living costs, reserves, legal consequences and all other\n   obligations are outside the calculation. Their adequacy is not proved.\n\n6. At the start of each period:\n   raw interest = opening balance * the bucket's per-period rate.\n   Round EACH bucket's interest separately to the nearest 0.01 u,\n   with exact halves rounded upward.\n   Add that rounded interest before making payments.\n   Carry the resulting rounded closing balances into the next period.\n\n7. Each artificial model minimum is:\n   min(5.00 u, the bucket's entire balance after that period's interest).\n\n8. Satisfy BOTH model minimums before selecting an extra-payment target.\n   Do not recalculate those minimums during the extra-allocation sequence.\n\n9. Smallest-first:\n   Order the positive AFTER-MINIMUM balances from smallest to largest.\n   Highest-rate-first:\n   Target B while its after-minimum balance remains positive, then A.\n   No unresolved positive-balance tie occurs in the supplied paths.\n\n10. Cap every payment at the remaining amount owed in the model.\n    Immediately reallocate unused extra to the next target within the\n    SAME period. Do not postpone that reallocation to another period.\n\n11. A paid-off bucket accrues no later interest.\n\n12. Retain the 30.00 u total available budget after a bucket closes,\n    including the payment capacity freed by that closure.\n\n13. In the final period, pay only what is needed to reach zero.\n    Record unused budget without assigning it another use.\n\n14. There are no fees, new borrowing, rate changes, promotions, penalties,\n    payment delays, grace periods, balance segments, tax effects or\n    external cash flows.\n\n15. These assumptions are exhaustive for this addendum.\n    They are mathematical stipulations, not agency instructions or\n    any real creditor's terms.\n```\n\n## 3. Repaired formulas and payment sequence\n\n### F001 — Variables, units, indexing and rounding\n\nPlain text\n```\nF001: DEFINITIONS\n\nBucket index:\n  j is A or B.\n\nPeriod index:\n  t is 1, 2 or 3 for each supplied path.\n\nAll monetary variables below contain numerical amounts measured in u.\nRates are decimal rates for one model period.\n\nB[j,0]       = initial balance of bucket j\nB[j,t]       = closing balance of bucket j after period t\nO[j,t]       = opening balance of bucket j in period t\nI_raw[j,t]   = unrounded interest for bucket j in period t\nI[j,t]       = separately rounded interest for bucket j in period t\nD[j,t]       = balance after interest, before any payment\nm[j,t]       = artificial model minimum for bucket j in period t\nR0[j,t]      = balance after the minimum, before extra allocation\nP[t]        = total available payment budget for period t\nQ0[t]       = extra budget available after BOTH minimums\nE[j,t]      = extra ACTUALLY allocated to bucket j in period t\nR[j,t]      = remaining balance during extra allocation\nQ[t]        = remaining extra budget during extra allocation\npayment[j,t] = minimum plus actual extra paid to bucket j\ntotal_paid[t] = total paid to both buckets during period t\nunused[t]   = budget not used during period t\n\nOpening-balance indexing:\n  O[j,t] = B[j,t-1]\n\nRounding definition for nonnegative monetary amounts:\n  round_001(x) = 0.01 * floor(x / 0.01 + 0.5)\n\nHere:\n  x and the returned amount are measured in u.\n  floor(y) means the greatest integer not exceeding y.\n  The expression uses exact decimal quantities.\n  It expresses the original nearest-0.01-u, halves-up rule.\n\nApply round_001() separately to each bucket's interest.\nDo not round the two buckets' combined interest instead.\n```\n\n### F002 — Interest, after-interest balance, minimums and extra available\n\nPlain text\n```\nF002: PERIOD RECURRENCE BEFORE EXTRA ALLOCATION\n\nFor EACH bucket j:\n\n  I_raw[j,t] = O[j,t] * r[j]                  # u\n  I[j,t] = round_001(I_raw[j,t])              # u\n  D[j,t] = O[j,t] + I[j,t]                    # u\n\n  m[j,t] = min(5.00, D[j,t])                  # u\n  R0[j,t] = D[j,t] - m[j,t]                   # u\n\nAfter computing and satisfying BOTH minimums:\n\n  minimum_total[t] = sum(m[A,t], m[B,t])      # u\n  Q0[t] = P[t] - minimum_total[t]             # u\n\nBudget condition for this recurrence:\n\n  minimum_total[t] <= P[t]\n\nThat condition holds in all six supplied rows.\nNo rule for skipping minimums or exceeding the budget is introduced.\n\nInitialize extra allocation:\n\n  E[A,t] = 0.00 u\n  E[B,t] = 0.00 u\n  R[A,t] = R0[A,t]\n  R[B,t] = R0[B,t]\n  Q[t] = Q0[t]\n```\n\n### F003 — Target timing, cap and same-period reallocation\n\nPlain text\n```\nF003: EXTRA-PAYMENT ORDER AND ALLOCATION\n\nChoose the order ONLY AFTER BOTH minimums have been satisfied.\n\nSmallest-first order:\n  List the buckets with positive R0[j,t].\n  Sort that list by R0[j,t], smallest first.\n  No unresolved tie occurs in the supplied paths.\n\nHighest-rate-first order:\n  Use B, then A.\n  Remove any bucket whose R0[j,t] is already zero.\n\nFor each bucket j in that period's order:\n\n  If Q[t] == 0.00 u:\n      stop this period's extra-allocation loop.\n\n  step_extra = min(Q[t], R[j,t])             # u\n  E[j,t] = E[j,t] + step_extra                # u\n  R[j,t] = R[j,t] - step_extra                # u\n  Q[t] = Q[t] - step_extra                    # u\n\n  If the target is paid off and Q[t] remains positive:\n      proceed immediately to the next target in the SAME period.\n\nThe other bucket's balance is unchanged by a payment to bucket j.\n\nIf both after-minimum balances are zero:\n  the target list is empty;\n  E[A,t] = 0.00 u;\n  E[B,t] = 0.00 u;\n  Q[t] remains unused.\n\nAvailable extra is not necessarily actual extra paid.\nNo payment is made merely to exhaust the budget.\n```\n\n### F004 — Actual payments, closing balances and unused budget\n\nPlain text\n```\nF004: PERIOD-END IDENTITIES\n\nFor each bucket j:\n\n  payment[j,t] = m[j,t] + E[j,t]              # u\n\n  B[j,t] = D[j,t] - payment[j,t]              # u\n         = R0[j,t] - E[j,t]                  # u\n         = R[j,t]                            # u\n\nFor the period:\n\n  actual_extra_total[t] = sum(E[A,t], E[B,t]) # u\n\n  total_paid[t] = sum(payment[A,t],\n                      payment[B,t])         # u\n\n  unused[t] = P[t] - total_paid[t]            # u\n            = Q0[t] - actual_extra_total[t]  # u\n            = Q[t]                           # u\n\nPayment caps and budget bounds:\n\n  0.00 u <= payment[j,t] <= D[j,t]\n  0.00 u <= total_paid[t] <= P[t]\n\nCarry-forward:\n\n  O[j,t+1] = B[j,t]\n\nStop after both closing balances are zero.\nNo additional period or use of unused budget is introduced.\n\nFor each complete supplied path:\n\n  total_interest =\n      sum(I[A,1], I[B,1],\n          I[A,2], I[B,2],\n          I[A,3], I[B,3])                    # u\n\n  total_payments =\n      sum(total_paid[1],\n          total_paid[2],\n          total_paid[3])                    # u\n\n  final_combined_balance =\n      sum(B[A,0], B[B,0])\n      + total_interest\n      - total_payments                      # u\n\n  final_unused_budget = unused[3]            # u\n```\n\n## 4. Verification of the six original rows\n\nAll pairs below are ordered **(A, B)**. The checks retain the original opening balances, rates, rounding, minimums, target timing and same-period reallocation.\n\n### Original M001 — Smallest-first, V001-V003\n\nPlain text\n```\nV001: ORIGINAL M001, PERIOD 1\n\nOpening:\n  O = (20.00, 40.00) u\n\nInterest:\n  I_raw = (20.00 * 0.01, 40.00 * 0.03) u\n        = (0.2000, 1.2000) u\n  I = (0.20, 1.20) u\n\nAfter interest and minimums:\n  D = O + I = (20.20, 41.20) u\n  m = (min(5.00, 20.20), min(5.00, 41.20)) u\n    = (5.00, 5.00) u\n  R0 = D - m = (15.20, 36.20) u\n\nExtra available:\n  Q0 = 30.00 - sum(5.00, 5.00) = 20.00 u\n\nOrder and actual extra:\n  A first:\n    E[A,1] = min(20.00, 15.20) = 15.20 u\n    Q after A = 20.00 - 15.20 = 4.80 u\n  B next, in the same period:\n    E[B,1] = min(4.80, 36.20) = 4.80 u\n    Q after B = 4.80 - 4.80 = 0.00 u\n  E = (15.20, 4.80) u\n\nPayments and closing:\n  payment = m + E = (20.20, 9.80) u\n  B_close = R0 - E = (0.00, 31.40) u\n  total_paid = sum(20.20, 9.80) = 30.00 u\n  unused = 30.00 - 30.00 = 0.00 u\n\nResult: original period-1 row unchanged.\n\n\nV002: ORIGINAL M001, PERIOD 2\n\nOpening:\n  O = (0.00, 31.40) u\n\nInterest:\n  I_raw = (0.00 * 0.01, 31.40 * 0.03) u\n        = (0.0000, 0.9420) u\n  I = (0.00, 0.94) u\n\nAfter interest and minimums:\n  D = O + I = (0.00, 32.34) u\n  m = (min(5.00, 0.00), min(5.00, 32.34)) u\n    = (0.00, 5.00) u\n  R0 = D - m = (0.00, 27.34) u\n\nExtra available:\n  Q0 = 30.00 - sum(0.00, 5.00) = 25.00 u\n\nOrder and actual extra:\n  Only B remains positive.\n  E[B,2] = min(25.00, 27.34) = 25.00 u\n  E = (0.00, 25.00) u\n  Q after B = 25.00 - 25.00 = 0.00 u\n\nPayments and closing:\n  payment = m + E = (0.00, 30.00) u\n  B_close = R0 - E = (0.00, 2.34) u\n  total_paid = sum(0.00, 30.00) = 30.00 u\n  unused = 30.00 - 30.00 = 0.00 u\n\nResult: original period-2 row unchanged.\n\n\nV003: ORIGINAL M001, PERIOD 3\n\nOpening:\n  O = (0.00, 2.34) u\n\nInterest:\n  I_raw = (0.00 * 0.01, 2.34 * 0.03) u\n        = (0.0000, 0.0702) u\n  I = (0.00, 0.07) u\n\nAfter interest and minimums:\n  D = O + I = (0.00, 2.41) u\n  m = (min(5.00, 0.00), min(5.00, 2.41)) u\n    = (0.00, 2.41) u\n  R0 = D - m = (0.00, 0.00) u\n\nExtra available:\n  Q0 = 30.00 - sum(0.00, 2.41) = 27.59 u\n\nActual extra:\n  Both buckets are already paid by the capped minimums.\n  E = (0.00, 0.00) u\n  actual_extra_total = sum(0.00, 0.00) = 0.00 u\n\nPayments and closing:\n  payment = m + E = (0.00, 2.41) u\n  B_close = R0 - E = (0.00, 0.00) u\n  total_paid = sum(0.00, 2.41) = 2.41 u\n  unused = 30.00 - 2.41 = 27.59 u\n         = 27.59 - 0.00 = 27.59 u\n\nResult: original period-3 row unchanged.\n```\n\n### Original M002 — Highest-rate-first, V004-V006\n\nPlain text\n```\nV004: ORIGINAL M002, PERIOD 1\n\nOpening:\n  O = (20.00, 40.00) u\n\nInterest:\n  I_raw = (20.00 * 0.01, 40.00 * 0.03) u\n        = (0.2000, 1.2000) u\n  I = (0.20, 1.20) u\n\nAfter interest and minimums:\n  D = O + I = (20.20, 41.20) u\n  m = (min(5.00, 20.20), min(5.00, 41.20)) u\n    = (5.00, 5.00) u\n  R0 = D - m = (15.20, 36.20) u\n\nExtra available:\n  Q0 = 30.00 - sum(5.00, 5.00) = 20.00 u\n\nOrder and actual extra:\n  B first:\n    E[B,1] = min(20.00, 36.20) = 20.00 u\n    Q after B = 20.00 - 20.00 = 0.00 u\n  No extra remains for A.\n  E = (0.00, 20.00) u\n\nPayments and closing:\n  payment = m + E = (5.00, 25.00) u\n  B_close = R0 - E = (15.20, 16.20) u\n  total_paid = sum(5.00, 25.00) = 30.00 u\n  unused = 30.00 - 30.00 = 0.00 u\n\nResult: original period-1 row unchanged.\n\n\nV005: ORIGINAL M002, PERIOD 2\n\nOpening:\n  O = (15.20, 16.20) u\n\nInterest:\n  I_raw = (15.20 * 0.01, 16.20 * 0.03) u\n        = (0.1520, 0.4860) u\n  I = (0.15, 0.49) u\n\nAfter interest and minimums:\n  D = O + I = (15.35, 16.69) u\n  m = (min(5.00, 15.35), min(5.00, 16.69)) u\n    = (5.00, 5.00) u\n  R0 = D - m = (10.35, 11.69) u\n\nExtra available:\n  Q0 = 30.00 - sum(5.00, 5.00) = 20.00 u\n\nOrder and actual extra:\n  B first:\n    E[B,2] = min(20.00, 11.69) = 11.69 u\n    Q after B = 20.00 - 11.69 = 8.31 u\n  A next, in the same period:\n    E[A,2] = min(8.31, 10.35) = 8.31 u\n    Q after A = 8.31 - 8.31 = 0.00 u\n  E = (8.31, 11.69) u\n\nPayments and closing:\n  payment = m + E = (13.31, 16.69) u\n  B_close = R0 - E = (2.04, 0.00) u\n  total_paid = sum(13.31, 16.69) = 30.00 u\n  unused = 30.00 - 30.00 = 0.00 u\n\nResult: original period-2 row unchanged.\n\n\nV006: ORIGINAL M002, PERIOD 3\n\nOpening:\n  O = (2.04, 0.00) u\n\nInterest:\n  I_raw = (2.04 * 0.01, 0.00 * 0.03) u\n        = (0.0204, 0.0000) u\n  I = (0.02, 0.00) u\n\nAfter interest and minimums:\n  D = O + I = (2.06, 0.00) u\n  m = (min(5.00, 2.06), min(5.00, 0.00)) u\n    = (2.06, 0.00) u\n  R0 = D - m = (0.00, 0.00) u\n\nExtra available:\n  Q0 = 30.00 - sum(2.06, 0.00) = 27.94 u\n\nActual extra:\n  Both buckets are already paid by the capped minimums.\n  E = (0.00, 0.00) u\n  actual_extra_total = sum(0.00, 0.00) = 0.00 u\n\nPayments and closing:\n  payment = m + E = (2.06, 0.00) u\n  B_close = R0 - E = (0.00, 0.00) u\n  total_paid = sum(2.06, 0.00) = 2.06 u\n  unused = 30.00 - 2.06 = 27.94 u\n         = 27.94 - 0.00 = 27.94 u\n\nResult: original period-3 row unchanged.\n```\n\n### Six-row verification table\n\nAll monetary values are in **u**; pairs are **(A, B)**. Extra available, per-bucket actual extra and unused budget are displayed separately to prevent a final-period interpretation that spends the entire budget.\n\n| Check | Original path/period | Extra available | Actual extra allocated | Closing balances | Total paid | Unused budget | Verification |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n| **V001** | M001, period 1 | 20.00 | (15.20, 4.80) | (0.00, 31.40) | 30.00 | 0.00 | All supplied fields reconcile; unchanged. |\n| **V002** | M001, period 2 | 25.00 | (0.00, 25.00) | (0.00, 2.34) | 30.00 | 0.00 | All supplied fields reconcile; unchanged. |\n| **V003** | M001, period 3 | 27.59 | (0.00, 0.00) | (0.00, 0.00) | 2.41 | 27.59 | All supplied fields reconcile; unchanged. |\n| **V004** | M002, period 1 | 20.00 | (0.00, 20.00) | (15.20, 16.20) | 30.00 | 0.00 | All supplied fields reconcile; unchanged. |\n| **V005** | M002, period 2 | 20.00 | (8.31, 11.69) | (2.04, 0.00) | 30.00 | 0.00 | All supplied fields reconcile; unchanged. |\n| **V006** | M002, period 3 | 27.94 | (0.00, 0.00) | (0.00, 0.00) | 2.06 | 27.94 | All supplied fields reconcile; unchanged. |\n\n## 5. Complete reconciliations in ASCII\n\n### Original M001 / C057 — Smallest-first totals\n\nPlain text\n```\nSMALLEST-FIRST INTEREST\n\nTotal interest =\n    sum(0.20, 1.20, 0.00, 0.94, 0.00, 0.07) u\n\nOmitting only the zero terms:\n    0.20 u + 1.20 u + 0.94 u + 0.07 u = 2.41 u\n\n\nSMALLEST-FIRST PAYMENTS\n\nTotal payments =\n    sum(30.00, 30.00, 2.41) u\n\n    30.00 u + 30.00 u + 2.41 u = 62.41 u\n\n\nSMALLEST-FIRST BALANCE RECONCILIATION\n\nInitial total + total interest - total payments = final total balance\n\n    60.00 u + 2.41 u - 62.41 u = 0.00 u\n\n\nSMALLEST-FIRST FINAL UNUSED BUDGET\n\nFinal available budget - final actual payment = final unused budget\n\n    30.00 u - 2.41 u = 27.59 u\n\nFinal extra available - final actual extra allocated = final unused budget\n\n    27.59 u - 0.00 u = 27.59 u\n```\n\n### Original M002 / C058 — Highest-rate-first totals\n\nPlain text\n```\nHIGHEST-RATE-FIRST INTEREST\n\nTotal interest =\n    sum(0.20, 1.20, 0.15, 0.49, 0.02, 0.00) u\n\nOmitting only the zero term:\n    0.20 u + 1.20 u + 0.15 u + 0.49 u + 0.02 u = 2.06 u\n\n\nHIGHEST-RATE-FIRST PAYMENTS\n\nTotal payments =\n    sum(30.00, 30.00, 2.06) u\n\n    30.00 u + 30.00 u + 2.06 u = 62.06 u\n\n\nHIGHEST-RATE-FIRST BALANCE RECONCILIATION\n\nInitial total + total interest - total payments = final total balance\n\n    60.00 u + 2.06 u - 62.06 u = 0.00 u\n\n\nHIGHEST-RATE-FIRST FINAL UNUSED BUDGET\n\nFinal available budget - final actual payment = final unused budget\n\n    30.00 u - 2.06 u = 27.94 u\n\nFinal extra available - final actual extra allocated = final unused budget\n\n    27.94 u - 0.00 u = 27.94 u\n```\n\n### Original M003 / C059 — Conditional differences and closure timing\n\nPlain text\n```\nINTEREST DIFFERENCE\n\nSmallest-first interest - highest-rate-first interest:\n\n    2.41 u - 2.06 u = 0.35 u\n\n\nPAYMENT DIFFERENCE\n\nSmallest-first payments - highest-rate-first payments:\n\n    62.41 u - 62.06 u = 0.35 u\n\n\nFIRST CLOSURE\n\nSmallest-first:\n    A first reaches 0.00 u at the end of period 1.\n\nHighest-rate-first:\n    B first reaches 0.00 u at the end of period 2.\n\nDifference in first-closure period:\n    2 - 1 = 1 model period.\n\n\nFINAL CLOSURE\n\nSmallest-first:\n    Both closing balances are 0.00 u at the end of period 3.\n\nHighest-rate-first:\n    Both closing balances are 0.00 u at the end of period 3.\n```\n\nThe original numerical comparison is therefore unchanged: the highest-rate-first path costs **0.35 u less within this stipulated model**, while the smallest-first path closes its first bucket **one model period earlier**. No conclusion about motivation, adherence, actual affordability or real-world savings follows.\n\n## 6. Atomic R032-P2 claim register\n\nAll input claims trace to **S001**. Formula and numerical findings are checked against the visible blocks above, not against newly retrieved agency material.\n\n| Claim ID | Bounded claim | Evidence and exact repair location |\n| --- | --- | --- |\n| **R032-P2-C001** | This addendum uses supplied prior-report context, not fresh primary retrieval or an inspected immutable artifact. | S001; §1. |\n| **R032-P2-C002** | The complete original assumptions are retained without a new financial scenario or changed input. | S001; §2; original C056. |\n| **R032-P2-C003** | Interest is calculated from the opening balance and rounded separately for each bucket before payments. | F001-F002; V001-V006. |\n| **R032-P2-C004** | Each artificial minimum is capped at that bucket’s entire after-interest balance. | F002; V003 and V006 show the final-period cap. |\n| **R032-P2-C005** | Extra available is the period budget remaining after both model minimums. | F002; extra-available lines in V001-V006. |\n| **R032-P2-C006** | Target order is selected after minimums; smallest-first uses positive after-minimum balances and rate-first targets B before A. | F003; original C056; V001 and V005. |\n| **R032-P2-C007** | Actual extra is capped by remaining budget and remaining target balance, with immediate same-period reallocation. | F003; V001 and V005. |\n| **R032-P2-C008** | Per-bucket payments and closing balances follow the capped minimum-plus-extra identities; total payments do not exceed the available budget. | F004; all six verification rows. |\n| **R032-P2-C009** | Unused budget is distinct from actual extra allocated; available extra need not be spent after payoff. | F004; V003 and V006. |\n| **R032-P2-C010** | Original M001 period 1 reconciles without a changed field. | V001. |\n| **R032-P2-C011** | Original M001 period 2 reconciles without a changed field. | V002. |\n| **R032-P2-C012** | Original M001 period 3 reconciles without a changed field. | V003. |\n| **R032-P2-C013** | Original M002 period 1 reconciles without a changed field. | V004. |\n| **R032-P2-C014** | Original M002 period 2 reconciles without a changed field. | V005. |\n| **R032-P2-C015** | Original M002 period 3 reconciles without a changed field. | V006. |\n| **R032-P2-C016** | Smallest-first total interest remains **2.41 u**. | §5, M001 interest reconciliation; original C057. |\n| **R032-P2-C017** | Smallest-first total payments remain **62.41 u**. | §5, M001 payment reconciliation; original C057. |\n| **R032-P2-C018** | Smallest-first final combined balance reconciles to **0.00 u**. | §5, M001 balance reconciliation. |\n| **R032-P2-C019** | Highest-rate-first total interest remains **2.06 u**. | §5, M002 interest reconciliation; original C058. |\n| **R032-P2-C020** | Highest-rate-first total payments remain **62.06 u**. | §5, M002 payment reconciliation; original C058. |\n| **R032-P2-C021** | Highest-rate-first final combined balance reconciles to **0.00 u**. | §5, M002 balance reconciliation. |\n| **R032-P2-C022** | The conditional interest and payment differences remain **0.35 u**, favoring highest-rate-first in this model. | §5, M003 difference reconciliations; original C059. |\n| **R032-P2-C023** | Smallest-first final unused budget remains **27.59 u**. | V003; §5, M001 unused-budget reconciliation. |\n| **R032-P2-C024** | Highest-rate-first final unused budget remains **27.94 u**. | V006; §5, M002 unused-budget reconciliation. |\n| **R032-P2-C025** | Smallest-first first closes A in period 1; highest-rate-first first closes B in period 2. | V001, V004-V005; §5, first-closure statements. |\n| **R032-P2-C026** | Both paths finish in period 3. | V003/V006; §5, final-closure statements. |\n| **R032-P2-C027** | No numerical discrepancy was found; the repair changes presentation and explicit notation, not original numerical conclusions. | V001-V006 and every §5 reconciliation. |\n| **R032-P2-C028** | The model remains conditional, nonempirical and noncontractual; it establishes no universal ranking, behavioral result, legal suitability or actual savings. All original limitations remain. | Supplied original C056/C060; §2 and §9. |\n| **R032-P2-C029** | This is an arithmetic self-check and rendering repair, not independent review, new A032 coverage, acceptance or verification of UI/model/mode provenance. | S001; §8-§9. |\n\n## 7. Correction crosswalk to the original report\n\n**No row, input or dependent total requires numerical correction.** “Repair” in this table means replacement display and clarification of notation, not alteration of the immutable original.\n\n| Original item | Bounded presentation repair | PASS-02 crosswalk | Numeric disposition |\n| --- | --- | --- | --- |\n| **Original C056** | Replace fragmented equations with explicit indexing, units, separate rounding, after-interest balance, capped minimums, extra available, actual extra, ordering, reallocation and unused-budget identities. | P2 C002-C009; §2; F001-F004. | Assumptions unchanged. |\n| **Original C057** | Display the smallest-first period calculations and interest/payment reconciliations in ASCII. | P2 C010-C012, C016-C018, C023; V001-V003; §5 M001 block. | Interest **2.41 u**; payments **62.41 u** unchanged. |\n| **Original C058** | Display the highest-rate-first period calculations and interest/payment reconciliations in ASCII. | P2 C013-C015, C019-C021, C024; V004-V006; §5 M002 block. | Interest **2.06 u**; payments **62.06 u** unchanged. |\n| **Original C059** | Display the conditional cost difference and first/final closure timing without mathematical rendering. | P2 C022, C025-C026; §5 M003 block. | Difference **0.35 u**; first closures in periods **1/2**; both finish in period **3**, unchanged. |\n| **Original C060** | Retain the original prohibition on generalizing the result to universal ranking, behavior, suitability or actual savings. | P2 C028-C029; §9. | No limitation withdrawn. |\n| **Original M001** | Re-express the same three smallest-first rows and all associated reconciliations. | V001-V003; six-row table; §5 M001 block. | All supplied fields unchanged. |\n| **Original M002** | Re-express the same three highest-rate-first rows and all associated reconciliations. | V004-V006; six-row table; §5 M002 block. | All supplied fields unchanged. |\n| **Original M003** | Re-express only the existing conditional comparison and unused-budget results. | §5; P2 C022-C026. | No new scenario, outcome measure or universal claim. |\n\n## 8. Compact coverage table\n\n| Requested item | Status | Visible evidence | Remaining limit |\n| --- | --- | --- | --- |\n| **1 — All model formulas in literal ASCII code blocks** | **Answered.** | F001-F004. | No verification of a separate captured rendering is claimed. |\n| **1 — Units, variables, indexing and rounding** | **Answered.** | §2; F001-F002. | These are the supplied model’s conventions only. |\n| **1 — Minimums, budget, actual extra, caps, target timing and reallocation** | **Answered.** | F002-F004; V001-V006. | No actual payment or contractual rule follows. |\n| **1 — All total/payment/balance/difference/unused-budget reconciliations** | **Answered.** | §5 ASCII blocks. | Results remain conditional. |\n| **2 — Complete assumptions retained** | **Answered.** | §2; P2 C002. | No excluded real-world consideration has been added to the model. |\n| **2 — Verify all six supplied rows** | **Answered.** | V001-V006 and the six-row verification table. | Self-check, not independent review. |\n| **2 — Identify discrepancies or preserve values** | **Answered: no discrepancy found.** | P2 C027; §7. | No silent data change or dependent numerical correction. |\n| **3 — One-entry supplied-context source/read register** | **Answered.** | §1, S001. | No invented primary-source access or immutable-file inspection. |\n| **3 — Atomic claims and original-item crosswalk** | **Answered.** | §6 and §7. | Limited to the supplied mathematical material. |\n| **3 — Coverage, explicit gaps and self-check** | **Answered.** | §8 and §9. | No expanded A032 coverage or acceptance. |\n| **Owner requirement — Verified UI/model/mode provenance** | **Unresolved; no new verification asserted.** | P2 C029; §9. | This addendum does not establish that provenance or withdraw the original limitation. |\n\n## 9. Remaining gaps and researcher self-check\n\n### Explicit remaining gaps\n\n| Gap or limitation | Disposition in this addendum |\n| --- | --- |\n| **Original immutable artifact and coordinator recomputation** | Only the supplied context is checked. No inspection of either underlying artifact is claimed. |\n| **Rendered output outside this answer** | The repair supplies ASCII text. It does not certify an unseen UI, capture or later rendering. |\n| **UI/model/mode provenance** | No new verification is supplied or asserted. The original limitation remains. |\n| **Primary-source, visual and edition evidence** | Not reopened, refreshed or revalidated. All original source/read and visual/edition limits remain. |\n| **Legal, contractual and payment mechanics** | The stipulations remain mathematical assumptions. No real minimum, rate, allocation, timing, protection or entitlement is established. |\n| **Actual affordability, behavior and outcomes** | Not modeled or inferred. No person or account is represented. |\n| **Parent and acceptance limits** | All remain intact. This is not new extensive A032 coverage, independent review or acceptance. |\n\n### Researcher self-check — not independent review\n\n| Check | Result |\n| --- | --- |\n| Used only the supplied original model context | **Yes.** |\n| Preserved every material assumption and exclusion | **Yes.** |\n| Used ASCII code blocks for every formula and reconciliation | **Yes.** |\n| Kept both minimums ahead of extra allocation | **Yes.** |\n| Preserved after-minimum target selection and same-period reallocation | **Yes.** |\n| Distinguished extra available from actual extra allocated | **Yes.** |\n| Capped payments and retained unused final-period budget | **Yes.** |\n| Checked all six original rows and dependent totals | **Yes; no numeric correction found.** |\n| Introduced a new financial scenario or actual calendar | **No.** |\n| Reopened research or expanded the original report’s scope | **No.** |\n| Claimed unseen provenance, an independent reviewer or acceptance | **No.** |\n| Withdrew any original limitation | **No.** |\n\nEND R032 PASS-02\n\n","tables":[{"headers":["Source ID","Supplied source and provenance","Exact material read for this addendum","Access and evidentiary status"],"index":0,"links":[],"row_links":[[],[]],"rows":[["Source ID","Supplied source and provenance","Exact material read for this addendum","Access and evidentiary status"],["R032-P2-S001","User-supplied context attributed to saved rendered R032 PASS-01, response 09906481-1224-5521-b1a6-31fafe715bbc, section 6, original C056-C060 and M001-M003.","The complete assumptions reproduced in the request; all six period rows; interest, payment, balance, difference and unused-budget reconciliations; closure timing; stated limitations.","Read from the present message. No new primary retrieval, source-access date or URL is asserted. The immutable saved artifact and the coordinator’s separate work were not inspected for this addendum. The supplied context is the input; the visible arithmetic below is a self-check against it."]]},{"headers":["Check","Original path/period","Extra available","Actual extra allocated","Closing balances","Total paid","Unused budget","Verification"],"index":1,"links":[],"row_links":[[],[],[],[],[],[],[]],"rows":[["Check","Original path/period","Extra available","Actual extra allocated","Closing balances","Total paid","Unused budget","Verification"],["V001","M001, period 1","20.00","(15.20, 4.80)","(0.00, 31.40)","30.00","0.00","All supplied fields reconcile; unchanged."],["V002","M001, period 2","25.00","(0.00, 25.00)","(0.00, 2.34)","30.00","0.00","All supplied fields reconcile; unchanged."],["V003","M001, period 3","27.59","(0.00, 0.00)","(0.00, 0.00)","2.41","27.59","All supplied fields reconcile; unchanged."],["V004","M002, period 1","20.00","(0.00, 20.00)","(15.20, 16.20)","30.00","0.00","All supplied fields reconcile; unchanged."],["V005","M002, period 2","20.00","(8.31, 11.69)","(2.04, 0.00)","30.00","0.00","All supplied fields reconcile; unchanged."],["V006","M002, period 3","27.94","(0.00, 0.00)","(0.00, 0.00)","2.06","27.94","All supplied fields reconcile; unchanged."]]},{"headers":["Claim ID","Bounded claim","Evidence and exact repair location"],"index":2,"links":[],"row_links":[[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[]],"rows":[["Claim ID","Bounded claim","Evidence and exact repair location"],["R032-P2-C001","This addendum uses supplied prior-report context, not fresh primary retrieval or an inspected immutable artifact.","S001; §1."],["R032-P2-C002","The complete original assumptions are retained without a new financial scenario or changed input.","S001; §2; original C056."],["R032-P2-C003","Interest is calculated from the opening balance and rounded separately for each bucket before payments.","F001-F002; V001-V006."],["R032-P2-C004","Each artificial minimum is capped at that bucket’s entire after-interest balance.","F002; V003 and V006 show the final-period cap."],["R032-P2-C005","Extra available is the period budget remaining after both model minimums.","F002; extra-available lines in V001-V006."],["R032-P2-C006","Target order is selected after minimums; smallest-first uses positive after-minimum balances and rate-first targets B before A.","F003; original C056; V001 and V005."],["R032-P2-C007","Actual extra is capped by remaining budget and remaining target balance, with immediate same-period reallocation.","F003; V001 and V005."],["R032-P2-C008","Per-bucket payments and closing balances follow the capped minimum-plus-extra identities; total payments do not exceed the available budget.","F004; all six verification rows."],["R032-P2-C009","Unused budget is distinct from actual extra allocated; available extra need not be spent after payoff.","F004; V003 and V006."],["R032-P2-C010","Original M001 period 1 reconciles without a changed field.","V001."],["R032-P2-C011","Original M001 period 2 reconciles without a changed field.","V002."],["R032-P2-C012","Original M001 period 3 reconciles without a changed field.","V003."],["R032-P2-C013","Original M002 period 1 reconciles without a changed field.","V004."],["R032-P2-C014","Original M002 period 2 reconciles without a changed field.","V005."],["R032-P2-C015","Original M002 period 3 reconciles without a changed field.","V006."],["R032-P2-C016","Smallest-first total interest remains 2.41 u.","§5, M001 interest reconciliation; original C057."],["R032-P2-C017","Smallest-first total payments remain 62.41 u.","§5, M001 payment reconciliation; original C057."],["R032-P2-C018","Smallest-first final combined balance reconciles to 0.00 u.","§5, M001 balance reconciliation."],["R032-P2-C019","Highest-rate-first total interest remains 2.06 u.","§5, M002 interest reconciliation; original C058."],["R032-P2-C020","Highest-rate-first total payments remain 62.06 u.","§5, M002 payment reconciliation; original C058."],["R032-P2-C021","Highest-rate-first final combined balance reconciles to 0.00 u.","§5, M002 balance reconciliation."],["R032-P2-C022","The conditional interest and payment differences remain 0.35 u, favoring highest-rate-first in this model.","§5, M003 difference reconciliations; original C059."],["R032-P2-C023","Smallest-first final unused budget remains 27.59 u.","V003; §5, M001 unused-budget reconciliation."],["R032-P2-C024","Highest-rate-first final unused budget remains 27.94 u.","V006; §5, M002 unused-budget reconciliation."],["R032-P2-C025","Smallest-first first closes A in period 1; highest-rate-first first closes B in period 2.","V001, V004-V005; §5, first-closure statements."],["R032-P2-C026","Both paths finish in period 3.","V003/V006; §5, final-closure statements."],["R032-P2-C027","No numerical discrepancy was found; the repair changes presentation and explicit notation, not original numerical conclusions.","V001-V006 and every §5 reconciliation."],["R032-P2-C028","The model remains conditional, nonempirical and noncontractual; it establishes no universal ranking, behavioral result, legal suitability or actual savings. All original limitations remain.","Supplied original C056/C060; §2 and §9."],["R032-P2-C029","This is an arithmetic self-check and rendering repair, not independent review, new A032 coverage, acceptance or verification of UI/model/mode provenance.","S001; §8-§9."]]},{"headers":["Original item","Bounded presentation repair","PASS-02 crosswalk","Numeric disposition"],"index":3,"links":[],"row_links":[[],[],[],[],[],[],[],[],[]],"rows":[["Original item","Bounded presentation repair","PASS-02 crosswalk","Numeric disposition"],["Original C056","Replace fragmented equations with explicit indexing, units, separate rounding, after-interest balance, capped minimums, extra available, actual extra, ordering, reallocation and unused-budget identities.","P2 C002-C009; §2; F001-F004.","Assumptions unchanged."],["Original C057","Display the smallest-first period calculations and interest/payment reconciliations in ASCII.","P2 C010-C012, C016-C018, C023; V001-V003; §5 M001 block.","Interest 2.41 u; payments 62.41 u unchanged."],["Original C058","Display the highest-rate-first period calculations and interest/payment reconciliations in ASCII.","P2 C013-C015, C019-C021, C024; V004-V006; §5 M002 block.","Interest 2.06 u; payments 62.06 u unchanged."],["Original C059","Display the conditional cost difference and first/final closure timing without mathematical rendering.","P2 C022, C025-C026; §5 M003 block.","Difference 0.35 u; first closures in periods 1/2; both finish in period 3, unchanged."],["Original C060","Retain the original prohibition on generalizing the result to universal ranking, behavior, suitability or actual savings.","P2 C028-C029; §9.","No limitation withdrawn."],["Original M001","Re-express the same three smallest-first rows and all associated reconciliations.","V001-V003; six-row table; §5 M001 block.","All supplied fields unchanged."],["Original M002","Re-express the same three highest-rate-first rows and all associated reconciliations.","V004-V006; six-row table; §5 M002 block.","All supplied fields unchanged."],["Original M003","Re-express only the existing conditional comparison and unused-budget results.","§5; P2 C022-C026.","No new scenario, outcome measure or universal claim."]]},{"headers":["Requested item","Status","Visible evidence","Remaining limit"],"index":4,"links":[],"row_links":[[],[],[],[],[],[],[],[],[],[],[],[]],"rows":[["Requested item","Status","Visible evidence","Remaining limit"],["1 — All model formulas in literal ASCII code blocks","Answered.","F001-F004.","No verification of a separate captured rendering is claimed."],["1 — Units, variables, indexing and rounding","Answered.","§2; F001-F002.","These are the supplied model’s conventions only."],["1 — Minimums, budget, actual extra, caps, target timing and reallocation","Answered.","F002-F004; V001-V006.","No actual payment or contractual rule follows."],["1 — All total/payment/balance/difference/unused-budget reconciliations","Answered.","§5 ASCII blocks.","Results remain conditional."],["2 — Complete assumptions retained","Answered.","§2; P2 C002.","No excluded real-world consideration has been added to the model."],["2 — Verify all six supplied rows","Answered.","V001-V006 and the six-row verification table.","Self-check, not independent review."],["2 — Identify discrepancies or preserve values","Answered: no discrepancy found.","P2 C027; §7.","No silent data change or dependent numerical correction."],["3 — One-entry supplied-context source/read register","Answered.","§1, S001.","No invented primary-source access or immutable-file inspection."],["3 — Atomic claims and original-item crosswalk","Answered.","§6 and §7.","Limited to the supplied mathematical material."],["3 — Coverage, explicit gaps and self-check","Answered.","§8 and §9.","No expanded A032 coverage or acceptance."],["Owner requirement — Verified UI/model/mode provenance","Unresolved; no new verification asserted.","P2 C029; §9.","This addendum does not establish that provenance or withdraw the original limitation."]]},{"headers":["Gap or limitation","Disposition in this addendum"],"index":5,"links":[],"row_links":[[],[],[],[],[],[],[],[]],"rows":[["Gap or limitation","Disposition in this addendum"],["Original immutable artifact and coordinator recomputation","Only the supplied context is checked. No inspection of either underlying artifact is claimed."],["Rendered output outside this answer","The repair supplies ASCII text. It does not certify an unseen UI, capture or later rendering."],["UI/model/mode provenance","No new verification is supplied or asserted. The original limitation remains."],["Primary-source, visual and edition evidence","Not reopened, refreshed or revalidated. All original source/read and visual/edition limits remain."],["Legal, contractual and payment mechanics","The stipulations remain mathematical assumptions. No real minimum, rate, allocation, timing, protection or entitlement is established."],["Actual affordability, behavior and outcomes","Not modeled or inferred. No person or account is represented."],["Parent and acceptance limits","All remain intact. This is not new extensive A032 coverage, independent review or acceptance."]]},{"headers":["Check","Result"],"index":6,"links":[],"row_links":[[],[],[],[],[],[],[],[],[],[],[],[],[]],"rows":[["Check","Result"],["Used only the supplied original model context","Yes."],["Preserved every material assumption and exclusion","Yes."],["Used ASCII code blocks for every formula and reconciliation","Yes."],["Kept both minimums ahead of extra allocation","Yes."],["Preserved after-minimum target selection and same-period reallocation","Yes."],["Distinguished extra available from actual extra allocated","Yes."],["Capped payments and retained unused final-period budget","Yes."],["Checked all six original rows and dependent totals","Yes; no numeric correction found."],["Introduced a new financial scenario or actual calendar","No."],["Reopened research or expanded the original report’s scope","No."],["Claimed unseen provenance, an independent reviewer or acceptance","No."],["Withdrew any original limitation","No."]]}],"claims":[{"claim_id":"R032-P2-C001","area_numbers":[32],"area_assignment_method":"task_scope_fallback","researcher_record":{"Claim ID":"R032-P2-C001","Bounded claim":"This addendum uses supplied prior-report context, not fresh primary retrieval or an inspected immutable artifact.","Evidence and exact repair location":"S001; §1."},"coordinator_verification_status":"not_yet_checked"},{"claim_id":"R032-P2-C002","area_numbers":[32],"area_assignment_method":"task_scope_fallback","researcher_record":{"Claim ID":"R032-P2-C002","Bounded claim":"The complete original assumptions are retained without a new financial scenario or changed input.","Evidence and exact repair location":"S001; §2; original C056."},"coordinator_verification_status":"not_yet_checked"},{"claim_id":"R032-P2-C003","area_numbers":[32],"area_assignment_method":"task_scope_fallback","researcher_record":{"Claim ID":"R032-P2-C003","Bounded claim":"Interest is calculated from the opening balance and rounded separately for each bucket before payments.","Evidence and exact repair location":"F001-F002; V001-V006."},"coordinator_verification_status":"not_yet_checked"},{"claim_id":"R032-P2-C004","area_numbers":[32],"area_assignment_method":"task_scope_fallback","researcher_record":{"Claim ID":"R032-P2-C004","Bounded claim":"Each artificial minimum is capped at that bucket’s entire after-interest balance.","Evidence and exact repair location":"F002; V003 and V006 show the final-period cap."},"coordinator_verification_status":"not_yet_checked"},{"claim_id":"R032-P2-C005","area_numbers":[32],"area_assignment_method":"task_scope_fallback","researcher_record":{"Claim ID":"R032-P2-C005","Bounded claim":"Extra available is the period budget remaining after both model minimums.","Evidence and exact repair location":"F002; extra-available lines in V001-V006."},"coordinator_verification_status":"not_yet_checked"},{"claim_id":"R032-P2-C006","area_numbers":[32],"area_assignment_method":"task_scope_fallback","researcher_record":{"Claim ID":"R032-P2-C006","Bounded claim":"Target order is selected after minimums; smallest-first uses positive after-minimum balances and rate-first targets B before A.","Evidence and exact repair location":"F003; original C056; V001 and V005."},"coordinator_verification_status":"not_yet_checked"},{"claim_id":"R032-P2-C007","area_numbers":[32],"area_assignment_method":"task_scope_fallback","researcher_record":{"Claim ID":"R032-P2-C007","Bounded claim":"Actual extra is capped by remaining budget and remaining target balance, with immediate same-period reallocation.","Evidence and exact repair location":"F003; V001 and V005."},"coordinator_verification_status":"not_yet_checked"},{"claim_id":"R032-P2-C008","area_numbers":[32],"area_assignment_method":"task_scope_fallback","researcher_record":{"Claim ID":"R032-P2-C008","Bounded claim":"Per-bucket payments and closing balances follow the capped minimum-plus-extra identities; total payments do not exceed the available budget.","Evidence and exact repair location":"F004; all six verification rows."},"coordinator_verification_status":"not_yet_checked"},{"claim_id":"R032-P2-C009","area_numbers":[32],"area_assignment_method":"task_scope_fallback","researcher_record":{"Claim ID":"R032-P2-C009","Bounded claim":"Unused budget is distinct from actual extra allocated; available extra need not be spent after payoff.","Evidence and exact repair location":"F004; V003 and V006."},"coordinator_verification_status":"not_yet_checked"},{"claim_id":"R032-P2-C010","area_numbers":[32],"area_assignment_method":"task_scope_fallback","researcher_record":{"Claim ID":"R032-P2-C010","Bounded claim":"Original M001 period 1 reconciles without a changed field.","Evidence and exact repair location":"V001."},"coordinator_verification_status":"not_yet_checked"},{"claim_id":"R032-P2-C011","area_numbers":[32],"area_assignment_method":"task_scope_fallback","researcher_record":{"Claim ID":"R032-P2-C011","Bounded claim":"Original M001 period 2 reconciles without a changed field.","Evidence and exact repair location":"V002."},"coordinator_verification_status":"not_yet_checked"},{"claim_id":"R032-P2-C012","area_numbers":[32],"area_assignment_method":"task_scope_fallback","researcher_record":{"Claim ID":"R032-P2-C012","Bounded claim":"Original M001 period 3 reconciles without a changed field.","Evidence and exact repair location":"V003."},"coordinator_verification_status":"not_yet_checked"},{"claim_id":"R032-P2-C013","area_numbers":[32],"area_assignment_method":"task_scope_fallback","researcher_record":{"Claim ID":"R032-P2-C013","Bounded claim":"Original M002 period 1 reconciles without a changed field.","Evidence and exact repair location":"V004."},"coordinator_verification_status":"not_yet_checked"},{"claim_id":"R032-P2-C014","area_numbers":[32],"area_assignment_method":"task_scope_fallback","researcher_record":{"Claim ID":"R032-P2-C014","Bounded claim":"Original M002 period 2 reconciles without a changed field.","Evidence and exact repair location":"V005."},"coordinator_verification_status":"not_yet_checked"},{"claim_id":"R032-P2-C015","area_numbers":[32],"area_assignment_method":"task_scope_fallback","researcher_record":{"Claim ID":"R032-P2-C015","Bounded claim":"Original M002 period 3 reconciles without a changed field.","Evidence and exact repair location":"V006."},"coordinator_verification_status":"not_yet_checked"},{"claim_id":"R032-P2-C016","area_numbers":[32],"area_assignment_method":"task_scope_fallback","researcher_record":{"Claim ID":"R032-P2-C016","Bounded claim":"Smallest-first total interest remains 2.41 u.","Evidence and exact repair location":"§5, M001 interest reconciliation; original C057."},"coordinator_verification_status":"not_yet_checked"},{"claim_id":"R032-P2-C017","area_numbers":[32],"area_assignment_method":"task_scope_fallback","researcher_record":{"Claim ID":"R032-P2-C017","Bounded claim":"Smallest-first total payments remain 62.41 u.","Evidence and exact repair location":"§5, M001 payment reconciliation; original C057."},"coordinator_verification_status":"not_yet_checked"},{"claim_id":"R032-P2-C018","area_numbers":[32],"area_assignment_method":"task_scope_fallback","researcher_record":{"Claim ID":"R032-P2-C018","Bounded claim":"Smallest-first final combined balance reconciles to 0.00 u.","Evidence and exact repair location":"§5, M001 balance reconciliation."},"coordinator_verification_status":"not_yet_checked"},{"claim_id":"R032-P2-C019","area_numbers":[32],"area_assignment_method":"task_scope_fallback","researcher_record":{"Claim ID":"R032-P2-C019","Bounded claim":"Highest-rate-first total interest remains 2.06 u.","Evidence and exact repair location":"§5, M002 interest reconciliation; original C058."},"coordinator_verification_status":"not_yet_checked"},{"claim_id":"R032-P2-C020","area_numbers":[32],"area_assignment_method":"task_scope_fallback","researcher_record":{"Claim ID":"R032-P2-C020","Bounded claim":"Highest-rate-first total payments remain 62.06 u.","Evidence and exact repair location":"§5, M002 payment reconciliation; original C058."},"coordinator_verification_status":"not_yet_checked"},{"claim_id":"R032-P2-C021","area_numbers":[32],"area_assignment_method":"task_scope_fallback","researcher_record":{"Claim ID":"R032-P2-C021","Bounded claim":"Highest-rate-first final combined balance reconciles to 0.00 u.","Evidence and exact repair location":"§5, M002 balance reconciliation."},"coordinator_verification_status":"not_yet_checked"},{"claim_id":"R032-P2-C022","area_numbers":[32],"area_assignment_method":"task_scope_fallback","researcher_record":{"Claim ID":"R032-P2-C022","Bounded claim":"The conditional interest and payment differences remain 0.35 u, favoring highest-rate-first in this model.","Evidence and exact repair location":"§5, M003 difference reconciliations; original C059."},"coordinator_verification_status":"not_yet_checked"},{"claim_id":"R032-P2-C023","area_numbers":[32],"area_assignment_method":"task_scope_fallback","researcher_record":{"Claim ID":"R032-P2-C023","Bounded claim":"Smallest-first final unused budget remains 27.59 u.","Evidence and exact repair location":"V003; §5, M001 unused-budget reconciliation."},"coordinator_verification_status":"not_yet_checked"},{"claim_id":"R032-P2-C024","area_numbers":[32],"area_assignment_method":"task_scope_fallback","researcher_record":{"Claim ID":"R032-P2-C024","Bounded claim":"Highest-rate-first final unused budget remains 27.94 u.","Evidence and exact repair location":"V006; §5, M002 unused-budget reconciliation."},"coordinator_verification_status":"not_yet_checked"},{"claim_id":"R032-P2-C025","area_numbers":[32],"area_assignment_method":"task_scope_fallback","researcher_record":{"Claim ID":"R032-P2-C025","Bounded claim":"Smallest-first first closes A in period 1; highest-rate-first first closes B in period 2.","Evidence and exact repair location":"V001, V004-V005; §5, first-closure statements."},"coordinator_verification_status":"not_yet_checked"},{"claim_id":"R032-P2-C026","area_numbers":[32],"area_assignment_method":"task_scope_fallback","researcher_record":{"Claim ID":"R032-P2-C026","Bounded claim":"Both paths finish in period 3.","Evidence and exact repair location":"V003/V006; §5, final-closure statements."},"coordinator_verification_status":"not_yet_checked"},{"claim_id":"R032-P2-C027","area_numbers":[32],"area_assignment_method":"task_scope_fallback","researcher_record":{"Claim ID":"R032-P2-C027","Bounded claim":"No numerical discrepancy was found; the repair changes presentation and explicit notation, not original numerical conclusions.","Evidence and exact repair location":"V001-V006 and every §5 reconciliation."},"coordinator_verification_status":"not_yet_checked"},{"claim_id":"R032-P2-C028","area_numbers":[32],"area_assignment_method":"task_scope_fallback","researcher_record":{"Claim ID":"R032-P2-C028","Bounded claim":"The model remains conditional, nonempirical and noncontractual; it establishes no universal ranking, behavioral result, legal suitability or actual savings. All original limitations remain.","Evidence and exact repair location":"Supplied original C056/C060; §2 and §9."},"coordinator_verification_status":"not_yet_checked"},{"claim_id":"R032-P2-C029","area_numbers":[32],"area_assignment_method":"explicit_report_labels","researcher_record":{"Claim ID":"R032-P2-C029","Bounded claim":"This is an arithmetic self-check and rendering repair, not independent review, new A032 coverage, acceptance or verification of UI/model/mode provenance.","Evidence and exact repair location":"S001; §8-§9."},"coordinator_verification_status":"not_yet_checked"}],"sources":[{"source_id":"R032-P2-S001","urls":[],"researcher_record":{"Source ID":"R032-P2-S001","Supplied source and provenance":"User-supplied context attributed to saved rendered R032 PASS-01, response 09906481-1224-5521-b1a6-31fafe715bbc, section 6, original C056-C060 and M001-M003.","Exact material read for this addendum":"The complete assumptions reproduced in the request; all six period rows; interest, payment, balance, difference and unused-budget reconciliations; closure timing; stated limitations.","Access and evidentiary status":"Read from the present message. No new primary retrieval, source-access date or URL is asserted. The immutable saved artifact and the coordinator’s separate work were not inspected for this addendum. The supplied context is the input; the visible arithmetic below is a self-check against it."},"coordinator_verification_status":"not_yet_checked"}],"coverage":[{"topic":"1 — All model formulas in literal ASCII code blocks","researcher_record":{"Requested item":"1 — All model formulas in literal ASCII code blocks","Status":"Answered.","Visible evidence":"F001-F004.","Remaining limit":"No verification of a separate captured rendering is claimed."},"raw_table_index":4,"coordinator_acceptance":"bounded_plaintext_repair_reviewed_resolved_all_other_evidence_application_parent_holds_retained","previous_coordinator_acceptance":"not_yet_reviewed","coordinator_review":"[internal evidence reference]","coordinator_review_at":"2026-10-28T02:41:30.061743+00:00"},{"topic":"1 — Units, variables, indexing and rounding","researcher_record":{"Requested item":"1 — Units, variables, indexing and rounding","Status":"Answered.","Visible evidence":"§2; F001-F002.","Remaining limit":"These are the supplied model’s conventions only."},"raw_table_index":4,"coordinator_acceptance":"bounded_plaintext_repair_reviewed_resolved_all_other_evidence_application_parent_holds_retained","previous_coordinator_acceptance":"not_yet_reviewed","coordinator_review":"[internal evidence reference]","coordinator_review_at":"2026-10-28T02:41:30.061743+00:00"},{"topic":"1 — Minimums, budget, actual extra, caps, target timing and reallocation","researcher_record":{"Requested item":"1 — Minimums, budget, actual extra, caps, target timing and reallocation","Status":"Answered.","Visible evidence":"F002-F004; V001-V006.","Remaining limit":"No actual payment or contractual rule follows."},"raw_table_index":4,"coordinator_acceptance":"bounded_plaintext_repair_reviewed_resolved_all_other_evidence_application_parent_holds_retained","previous_coordinator_acceptance":"not_yet_reviewed","coordinator_review":"[internal evidence reference]","coordinator_review_at":"2026-10-28T02:41:30.061743+00:00"},{"topic":"1 — All total/payment/balance/difference/unused-budget reconciliations","researcher_record":{"Requested item":"1 — All total/payment/balance/difference/unused-budget reconciliations","Status":"Answered.","Visible evidence":"§5 ASCII blocks.","Remaining limit":"Results remain conditional."},"raw_table_index":4,"coordinator_acceptance":"bounded_plaintext_repair_reviewed_resolved_all_other_evidence_application_parent_holds_retained","previous_coordinator_acceptance":"not_yet_reviewed","coordinator_review":"[internal evidence reference]","coordinator_review_at":"2026-10-28T02:41:30.061743+00:00"},{"topic":"2 — Complete assumptions retained","researcher_record":{"Requested item":"2 — Complete assumptions retained","Status":"Answered.","Visible evidence":"§2; P2 C002.","Remaining limit":"No excluded real-world consideration has been added to the model."},"raw_table_index":4,"coordinator_acceptance":"bounded_plaintext_repair_reviewed_resolved_all_other_evidence_application_parent_holds_retained","previous_coordinator_acceptance":"not_yet_reviewed","coordinator_review":"[internal evidence reference]","coordinator_review_at":"2026-10-28T02:41:30.061743+00:00"},{"topic":"2 — Verify all six supplied rows","researcher_record":{"Requested item":"2 — Verify all six supplied rows","Status":"Answered.","Visible evidence":"V001-V006 and the six-row verification table.","Remaining limit":"Self-check, not independent review."},"raw_table_index":4,"coordinator_acceptance":"bounded_plaintext_repair_reviewed_resolved_all_other_evidence_application_parent_holds_retained","previous_coordinator_acceptance":"not_yet_reviewed","coordinator_review":"[internal evidence reference]","coordinator_review_at":"2026-10-28T02:41:30.061743+00:00"},{"topic":"2 — Identify discrepancies or preserve values","researcher_record":{"Requested item":"2 — Identify discrepancies or preserve values","Status":"Answered: no discrepancy found.","Visible evidence":"P2 C027; §7.","Remaining limit":"No silent data change or dependent numerical correction."},"raw_table_index":4,"coordinator_acceptance":"bounded_plaintext_repair_reviewed_resolved_all_other_evidence_application_parent_holds_retained","previous_coordinator_acceptance":"not_yet_reviewed","coordinator_review":"[internal evidence reference]","coordinator_review_at":"2026-10-28T02:41:30.061743+00:00"},{"topic":"3 — One-entry supplied-context source/read register","researcher_record":{"Requested item":"3 — One-entry supplied-context source/read register","Status":"Answered.","Visible evidence":"§1, S001.","Remaining limit":"No invented primary-source access or immutable-file inspection."},"raw_table_index":4,"coordinator_acceptance":"bounded_plaintext_repair_reviewed_resolved_all_other_evidence_application_parent_holds_retained","previous_coordinator_acceptance":"not_yet_reviewed","coordinator_review":"[internal evidence reference]","coordinator_review_at":"2026-10-28T02:41:30.061743+00:00"},{"topic":"3 — Atomic claims and original-item crosswalk","researcher_record":{"Requested item":"3 — Atomic claims and original-item crosswalk","Status":"Answered.","Visible evidence":"§6 and §7.","Remaining limit":"Limited to the supplied mathematical material."},"raw_table_index":4,"coordinator_acceptance":"bounded_plaintext_repair_reviewed_resolved_all_other_evidence_application_parent_holds_retained","previous_coordinator_acceptance":"not_yet_reviewed","coordinator_review":"[internal evidence reference]","coordinator_review_at":"2026-10-28T02:41:30.061743+00:00"},{"topic":"3 — Coverage, explicit gaps and self-check","researcher_record":{"Requested item":"3 — Coverage, explicit gaps and self-check","Status":"Answered.","Visible evidence":"§8 and §9.","Remaining limit":"No expanded A032 coverage or acceptance."},"raw_table_index":4,"coordinator_acceptance":"bounded_plaintext_repair_reviewed_resolved_all_other_evidence_application_parent_holds_retained","previous_coordinator_acceptance":"not_yet_reviewed","coordinator_review":"[internal evidence reference]","coordinator_review_at":"2026-10-28T02:41:30.061743+00:00"},{"topic":"Owner requirement — Verified UI/model/mode provenance","researcher_record":{"Requested item":"Owner requirement — Verified UI/model/mode provenance","Status":"Unresolved; no new verification asserted.","Visible evidence":"P2 C029; §9.","Remaining limit":"This addendum does not establish that provenance or withdraw the original limitation."},"raw_table_index":4,"coordinator_acceptance":"bounded_plaintext_repair_reviewed_resolved_all_other_evidence_application_parent_holds_retained","previous_coordinator_acceptance":"not_yet_reviewed","coordinator_review":"[internal evidence reference]","coordinator_review_at":"2026-10-28T02:41:30.061743+00:00"}],"annotations":{},"corrections":[],"resolved_corrections":[],"review_history":[]}