{
"status": "PASS; no substantive arithmetic or theorem-scope defect. One reader clarification recommended.",
"scope": "C1202–C1222 completed records, bound models and two reader texts",
"reviewer": "inverse_family",
"checks": [
{
"step": "binding",
"name": "all reviewed artifact hashes",
"pass": true,
"evidence": {
"artifacts": 21,
"journal_records": 21
}
},
{
"step": "binding",
"name": "frozen source packet matches preparation",
"pass": true,
"evidence": {
"source_packet_sha256": "1bd5961126532673e6fda1535befc5e64cf21d67d01a3c5e78d1a613bbb8ab59",
"latest_File52c_sha256": "a5ea84562101158b60d0cf296765d6eff38e7a2abda4e74ad1b353dfd13b9530"
}
},
{
"step": 1202,
"name": "complete stored diagnostic plateau cells",
"pass": true,
"evidence": {
"proof": "Below Q(c), clipping cannot contribute; at Q(c), the capacity cell starts max(0,Q(c)-2) and joins every larger input. Off-grid observations are empty by Q definition.",
"domain": "nonnegative integer L,c; no upper baseline bound"
}
},
{
"step": 1203,
"name": "all three source plateau thresholds",
"pass": true,
"evidence": {
"thresholds": [
843,
718,
653
],
"below_capacity_inputs": [
[
843,
844,
845,
846
],
[
718,
719
],
[]
]
}
},
{
"step": 1204,
"name": "all nine branch loss registers",
"pass": true,
"evidence": {
"active_names": [
"Jared",
"Methuselah",
"Lamech"
],
"identity": "L=Q(y)+rho(y)+z",
"complementarity": "z(c-y)=0",
"scope": "branch known; tie L=c distinct"
}
},
{
"step": 1205,
"name": "branch-appropriate recovery of nine source lives",
"pass": true,
"evidence": {
"recovered": [
930,
912,
905,
910,
895,
962,
365,
969,
777
],
"source_cost_retained": "Known capacities, branch labels and indicated exact register values are required; the output does not generate them."
}
},
{
"step": 1206,
"name": "same-total positive cap ambiguity",
"pass": true,
"evidence": {
"source_excesses": [
115,
249,
124
],
"formal_alternative": [
116,
248,
124
],
"kernel_dimension": 2,
"scope": "formal positive branch; not new source values"
}
},
{
"step": 1207,
"name": "located measurements complete the linear source reconstruction",
"pass": true,
"evidence": {
"determinant": 1,
"scope": "Two independent located measurements suffice and are necessary for unrestricted rational positive-branch recovery; their values remain source-supplied.",
"cost": "488 and located values are retained source-derived measurements, not independent derivation of their historical origin"
}
},
{
"step": 1208,
"name": "complete rounded-loss identity and totals",
"pass": true,
"evidence": {
"exact_excess": 488,
"baseline_round_error": -5,
"capped_round_error": -2,
"rounded_reduction": 485
}
},
{
"step": "1209–1210",
"name": "monotone min theorem and corrected witness",
"pass": true,
"evidence": {
"status": "C1209 nondistinguishing12/11 witness explicitly corrected atC1210",
"valid_witness": {
"L": 14,
"c": 11,
"Q_min": 10,
"min_Q_exact_c": 11,
"min_Q_Qc": 10
},
"proof": "Any nondecreasing Q preserves minimum on a total order."
}
},
{
"step": 1211,
"name": "exact first-visible threshold",
"pass": true,
"evidence": {
"thresholds": [
848,
723,
658
],
"proof": "Q(c)+2 ends its nearest-five cell; Q(c)+3 begins the next."
}
},
{
"step": 1212,
"name": "cap reader source costs and count scope",
"pass": true,
"evidence": {
"assessment": "forward commutation, branch-appropriate information, inclusive counts and baseline nonidentification retained"
}
},
{
"step": 1213,
"name": "signed algebraic extension explicitly supplied",
"pass": true,
"evidence": {
"proof": "floor((x+5k+2)/5)=floor((x+2)/5)+k for integers x,k",
"domain": "Original row durations remain nonnegative. Q_Z is the algebraic integer extension used only for signed residuals or translations."
}
},
{
"step": 1214,
"name": "all19 matched source row changes",
"pass": true,
"evidence": {
"matched_rows": 19,
"native_Cainan": "separate insertion; not a zero MT row",
"changed_life_rows": [
"Lamech",
"Arphaxad",
"Shelah"
]
}
},
{
"step": 1215,
"name": "located head-error cancellation",
"pass": true,
"evidence": {
"located_errors": [
{
"name": "Lamech",
"difference_error": 4
},
{
"name": "Arphaxad",
"difference_error": -2
},
{
"name": "Shelah",
"difference_error": -2
}
],
"matched_head_difference": 430,
"native_with_Cainan": 890
}
},
{
"step": 1216,
"name": "complete accumulated interior error field",
"pass": true,
"evidence": {
"nonzero": [
{
"boundary": "Noah",
"difference_error": -4
},
{
"boundary": "Shem",
"difference_error": -4
},
{
"boundary": "Arphaxad",
"difference_error": -4
},
{
"boundary": "Shelah",
"difference_error": -2
}
],
"head_terminal": [
0,
0
],
"scope": "same terminal, matched19-row domain; native insertion has zero extra rounding error"
}
},
{
"step": 1217,
"name": "all19 carry changes and parts/whole distinction",
"pass": true,
"evidence": {
"identity": "delta Q(L)=delta Q(b)+delta Q(r)+delta carry",
"interpretation": "Theoretical rounded death from parts and rounded cumulative life are distinct observables."
}
},
{
"step": 1218,
"name": "off-lattice source examples",
"pass": true,
"evidence": {
"examples": [
{
"x": 777,
"d": -24,
"Q_x": 775,
"rho": 2,
"rounded_shift": -20,
"new_rounded": 755,
"new_residual": -2
},
{
"x": 595,
"d": -24,
"Q_x": 595,
"rho": 0,
"rounded_shift": -25,
"new_rounded": 570,
"new_residual": 1
},
{
"x": 438,
"d": 27,
"Q_x": 440,
"rho": -2,
"rounded_shift": 25,
"new_rounded": 465,
"new_residual": 0
},
{
"x": 433,
"d": 27,
"Q_x": 435,
"rho": -2,
"rounded_shift": 25,
"new_rounded": 460,
"new_residual": 0
}
],
"source_cost": "Keeping the residual restores a lossless coordinate representation, not reduced source information."
}
},
{
"step": 1219,
"name": "complete105 measurement field",
"pass": true,
"evidence": {
"comparisons": 35,
"measurements": 105,
"excluded": "SP inclusive Jared/Methuselah/Lamech; native LXX Cainan is unpaired"
}
},
{
"step": 1220,
"name": "lift composition proof and declared diagnostics",
"pass": true,
"evidence": {
"proof": "T_d is integer translation conjugated through the bijection x↔(Q_Z(x),rho(x)); source intermediate authorization is separate.",
"declared_diagnostic_cases": 25
}
},
{
"step": 1221,
"name": "universal cell descent criterion",
"pass": true,
"evidence": {
"proof": "Nonzero shift residues1..4 split a whole five-point cell; adding multiples5 merely translates the picture.",
"finite_domain_scope": "Restricted finite source domains can avoid a split accidentally; universal necessity does not forbid that."
}
},
{
"step": 1222,
"name": "reader synthesis retains structural source distinctions",
"pass": true,
"evidence": {
"arithmetic": "PASS",
"clarification_recommended": "Label430 explicitly matched19-row difference; native Cainan adds460 for890, as already statedC1187.",
"status": "scope clarity, not a numerical defect"
}
}
],
"all_checks_pass": true,
"reviewed_artifacts": [
{
"step": 1202,
"path": "c1132_c1431/model/cap_round_fibre_law.json",
"sha256": "4ff7af76d04d05a1559f9918457b5a1ea19a6369cf01f0740073105104291fbf"
},
{
"step": 1203,
"path": "c1132_c1431/model/SP_cap_round_fibre_thresholds.json",
"sha256": "0e5375ce43907dc1ce63d0b6d0786a30ed3ddaa91d3fbf3682294d53aea30dbb"
},
{
"step": 1204,
"path": "c1132_c1431/model/cap_round_branch_information.json",
"sha256": "496cab05f8d37f8f3f5ac004911fb79736ca2e4435da321932625405a2f45d59"
},
{
"step": 1205,
"path": "c1132_c1431/model/SP_composite_loss_recovery.json",
"sha256": "0a7fb945140282fae094852f57bddd8f2ce60ab0bfaa766ad35a5618e246fa81"
},
{
"step": 1206,
"path": "c1132_c1431/model/SP_total_excess_ambiguity.json",
"sha256": "38552129de7b83e606e002bd913c6a5b105c31a1b2f1a1aa3161f1477465bceb"
},
{
"step": 1207,
"path": "c1132_c1431/model/SP_excess_measurement_completion.json",
"sha256": "4fc6202631b89ebf6649113e942494dbf1adf1a0b8e97840042b384ef675a920"
},
{
"step": 1208,
"path": "c1132_c1431/model/cap_round_loss_identity.json",
"sha256": "238adb4d7804f3f7873b3ee15c3ac61e23e8c1f7b8bf0615c2b7b462b5c3cb14"
},
{
"step": 1209,
"path": "c1132_c1431/model/cap_round_commutation_scope.json",
"sha256": "3a28ca3976b2b3e0c3db3acc855fbab20e1484a32e4cf271b3787b19eb686a3f"
},
{
"step": 1210,
"path": "c1132_c1431/model/cap_round_visibility_witnesses.json",
"sha256": "9444cd743e2f3d518f91e21500c8d2c52c5d0ac6005ce952b1b6969fb8a4d77c"
},
{
"step": 1211,
"path": "c1132_c1431/model/cap_round_strict_visibility.json",
"sha256": "2a81074b2f3001decdb18bf7167d22e03ff71e1a0520a12704f08f3800f0b0b3"
},
{
"step": 1212,
"path": "c1132_c1431/deliverables/Cap_and_Round_Information.md",
"sha256": "228c06a4b52ef3e54734d8e061292c124824d661fc306bc2a2d662d7cbd03a80"
},
{
"step": 1213,
"path": "c1132_c1431/model/round_lattice_equivariance.json",
"sha256": "cd4cba7a1d4f52780ea7a1406c86691f7f48b8dbaefa232792e71ca96049ced1"
},
{
"step": 1214,
"path": "c1132_c1431/model/whole_genealogy_rounded_changes.json",
"sha256": "59c733198e1c6b2dca7c08d425e2a4764198b31dcf334d79cc93652e6fc96cd3"
},
{
"step": 1215,
"path": "c1132_c1431/model/whole_genealogy_rounded_head_cancellation.json",
"sha256": "3d45a7d600eda8d3b759b2b612bd9ca5267b4804fb9b58fa83e23698e46fce33"
},
{
"step": 1216,
"path": "c1132_c1431/model/whole_genealogy_rounding_interior_field.json",
"sha256": "6d567b190a9b6394b05ca6e81b64f7eefde7f8e2021b4b92f407e75e25fa0c2d"
},
{
"step": 1217,
"path": "c1132_c1431/model/whole_genealogy_rounded_carry_change.json",
"sha256": "9e64605b3c1b687ca5656ad9eb06a5cfe846fd29f54ea82de3a48bd97031fdc8"
},
{
"step": 1218,
"path": "c1132_c1431/model/rounded_residual_translation.json",
"sha256": "f9e2b0fdc53f2c54c40d63f1de6d2aaa0aa0eef6eb8f7fe79eb7cde3bd98fdee"
},
{
"step": 1219,
"path": "c1132_c1431/model/all_ordinary_lifted_translations.json",
"sha256": "2758dc3c28556dbcad313c1eb49e12d357695a36b441e826377b20681d96a5ce"
},
{
"step": 1220,
"path": "c1132_c1431/model/rounded_translation_composition.json",
"sha256": "75a28f7bb3d4a6f20397c95c1ee5d51b30d61bd6dc6d190fbb0db940da93dba8"
},
{
"step": 1221,
"path": "c1132_c1431/model/rounded_cell_shift_criterion.json",
"sha256": "4c2cbdaadd6fd462334918a11e56c5bcae951522a91a8675add093e2ff9ebb15"
},
{
"step": 1222,
"path": "c1132_c1431/deliverables/Source_Changes_to_Rounded_Paths.md",
"sha256": "9629485664a6702d46147cf21859dfd7a987ccbba15aee8da413d1846b06a230"
}
],
"resolved_prior_issues": [
{
"issue": "C1209 example12/11 does not distinguish mixed capacity paths",
"resolved_at": 1210,
"status": "explicit correction valid;14/11 gives10 versus11"
},
{
"issue": "C1199 signedQ needs integer algebraic extension",
"resolved_at": 1213,
"status": "Q_Z explicitly defined; source durations remain nonnegative"
}
],
"recommendations": [
{
"id": "R1222-matched430",
"severity": "reader clarification recommended",
"location": "deliverables/Source_Changes_to_Rounded_Paths.md paragraph2; C1215 description",
"recommendation": "Say matched19-row cumulative head difference430 explicitly. Native LXX restoration includes Cainan460 and therefore gives890.",
"existing_scope": "C1216 says same terminal, matched19-row domain; C1187 separately gives native890.",
"numerical_change_required": false
}
],
"source_cost_assessment": "Exact capacities, branch labels, residual/excess values, source-row masks and insertion identity remain retained premises. Existing calculated488 is a conditional measurement, not independent historical evidence. Lossless residual encoding is explicitly not claimed as compression.",
"guards": {
"root_files_edited": false,
"frozen_preparation_edited": false,
"second_decimal_inversion": false,
"new_endpoint_search_or_target_tally": false
},
"second_review": {
"reviewer": "/root/inverse_family/round_joint_proof",
"status": "PASS; no new theorem or scope issues",
"scope": [
"global composite fibres",
"branch reconstruction",
"visible clipping threshold",
"monotone min commutation",
"signed residual lift and composition",
"universal rounded-cell descent criterion"
],
"method": "Independent algebraic derivation with bounded verification; no files changed."
}
}
Evidence
review1202 1222.json
Edition and provenance
review1202_1222.json
SHA-256 06ca68648ee6c8e299cacc3addec82e6f416389ef81b5a932002f50a17b2fed9
C480–C1634/Research_Cycles/C1132_C1431_Recovered/prep/review1202_1222.json