{
  "user_request": "Continue the proposed true projected-cost estimate; review all conclusions and identify recurring walls.",
  "reviewed_main_commit": "0a7faba56a5a1431f04523494143ec47736f5c4d",
  "claim_commit": "9153483",
  "remote_status": "All remotes refreshed; main is merged PR51; no open PRs at task start. No unrelated new tree changes.",
  "review_scope": "All 104 conclusion-register entries reviewed for scope, hypotheses, evidence status and relation to this task; current README checkpoints, NEXT_STEPS, missing-evidence ledger and relevant NS92/93/97 arguments/reviews read. Dependency review only, not a fresh proof audit or numerical replay of every historical claim.",
  "register_status_counts": {
    "open": 10,
    "proved": 48,
    "closed": 33,
    "blocked": 11,
    "live": 2
  },
  "register_ids": [
    "rh",
    "g1",
    "fixedspace",
    "g2",
    "windows",
    "w3",
    "w4e",
    "w4o",
    "w4",
    "w5",
    "uniform",
    "primenorm",
    "normcontr",
    "schatten",
    "sampling",
    "farmaj",
    "blockmetric",
    "flattop",
    "recipband",
    "cotlar",
    "scalarprim",
    "concentration",
    "weaken",
    "floor",
    "gapfree",
    "floortest",
    "shiftbarrier",
    "metablind",
    "altroutes",
    "circle",
    "debranges",
    "f1",
    "nb",
    "li",
    "dbn",
    "ccmmu",
    "simpleeven4",
    "stepb",
    "semanticlock",
    "groundzero4",
    "groundzero4resolution",
    "pencilconcentration",
    "betaexplicit",
    "minorantlevels",
    "zeroleveldistribution",
    "weightedexactcost",
    "capacityweight",
    "capacityslack",
    "inputcomparison",
    "capacitychannels",
    "bumpstrength",
    "adaptiveidentity",
    "scalarsetshortcut",
    "relativeselection",
    "absoluteselection",
    "coarseprofile",
    "fineradicalrank",
    "kernelapi",
    "generic_h1",
    "localucp",
    "fullpositivecone",
    "finiteweightcontrols",
    "boundedfloorstability",
    "radicalboundarytest",
    "nbdifference",
    "nbrawlog",
    "nbeulergrid",
    "nbsmoothedbudget",
    "nbsmoothedcorrelation",
    "nbsharpintegrated",
    "nbchangingnorm",
    "nbcanonicalgrowth",
    "nbcanonicalcells",
    "nbabelwholegain",
    "nbrenewalforcing",
    "nbcriticalrenewalenergy",
    "nbrepairedbounds",
    "nbselectedpreconditioner",
    "nblocalgeometry",
    "nbcurvaturearithmetic",
    "nbsamegramcontrol",
    "nbdivisorfeedback",
    "nbcontinuousdefect",
    "nbcontinuoustail",
    "nbarithmeticsampling",
    "nbbalancedfeedback",
    "nbarithmeticpreconditioner",
    "nbfiniteconditioning",
    "nbcompressedtail",
    "nbcriticalfloor",
    "nbuniformrelativecontraction",
    "nboptimizedpotential",
    "nbconvolutioncontrol",
    "nbjointlocalization",
    "nbdilationenvelope",
    "nbdilationstrongnumerator",
    "nbnormalizedupper",
    "nbmobiusjointcancellation",
    "nbjointabelbound",
    "nbarithmeticcostbudget",
    "nbaveragedabsolutecost",
    "circlecountinference",
    "nbsquareproductrestriction",
    "nblcmsquarecone"
  ],
  "findings": [
    "Fixed-window certificates and finite floors give no cofinal bound. API and complete-ground selection inputs remain open.",
    "NS59/60/70 raw or explicit all-coefficient exclusions do not automatically extend to this actual projected direction.",
    "NS74 same-Gram control prevents geometry or finite efficiency alone from proving target convergence; a cost result still needs an actual numerator estimate.",
    "NS83 excludes fixed-fraction whole-error contraction at every doubling, not the proposed weak averaged cost hypothesis.",
    "NS87 complete-tail localization leaves the finite signed arithmetic lower bound open.",
    "NS92/93 bound a stronger scalar cost; full absolute-product separation fails only for that particular majorant.",
    "NS96/97 PSD and free-scale normalization detours supply no new arithmetic input and are not repeated.",
    "Both original-evidence gaps remain open; replacement certificates and disclosures are not original recovery.",
    "No new independent upper estimate was found for the projected signed cross term; the two finite signs have no cofinal implication."
  ],
  "wall_check": {
    "classification": "Same open gap",
    "closest_result": "NS92/93; exact Schur projection already NS53/61/73; central lower-gain target NS87/PR42",
    "what_changes": "Attempt to retain the complete old-space subtraction for the fixed Mobius/log direction, in place of the stronger scalar suffix budget. No independent arithmetic estimate obtained.",
    "success_would_mean": "A bounded mean projected cost would supply only the cost half; an actual numerator lower estimate would still be required.",
    "outcome": "Attempt stopped at the unestimated signed cross term; no cost divergence or route impossibility was proved."
  },
  "new_verification": "Two finite projected-cost decompositions, two precisions and a separate doubled-cutoff replay; seven exact Maxima algebra checks. Prior NS73 costs overlap.",
  "no_new_theorem_node": true,
  "manuscript_version": "1.66 unchanged"
}