{
  "nodes_kept": [
    0
  ],
  "outputs_sha256": {
    "slice_n1_exact.pkl.gz": "bfd98ffc38d12cbe423ff7b9537b34717ea436b82a01b099f4229e6300a44b30",
    "slice_n1_fits.pkl.gz": "c4472a4838c0a1a086a68af045d3d208d1d4fe7e6f1ba28fd55e6c5b0f948007"
  },
  "node_d_values": [
    "101"
  ],
  "counts": {
    "exact_cols": 4255,
    "fits_cols": 26
  },
  "provenance": {
    "sliced_by": "<archive>/lbl3x_kernel_compact/slice_probe.py (kernel-compaction step, 2026-07-05)",
    "design": "<archive>/lbl3x_kernel_compact/DESIGN.md section 3(a)",
    "source_banks": "tools/rowscripts/row21_kernel_data/kernel_{exact,fits}.pkl.gz",
    "source_bank_sha256": {
      "kernel_exact.pkl.gz": "8c8a75f9ccd14741e79a412373ab4decd771019326254c9e080a9e63e2b2f7b6",
      "kernel_fits.pkl.gz": "8c8dd05404385fdfca9953c830fd376a2af948802e18977cac2cd4dd66e6c20b"
    },
    "verified": "witness-install step 2026-07-06: ALL 4184 exact + 97 fits cols == node-0 restriction of the sha-pinned full banks (<archive>/axis3_wave/witness-install/evidence/verify_slices.out)",
    "format": "exact 'coeffs' keyed by ORIGINAL node index; fits 'xs' re-indexed in nodes_kept order"
  },
  "succession": {
    "stamp_utc": "2026-09-07T18:20:28Z",
    "what": "71 of the 97 two-prime columns, closed exactly on the record grid in the record's preferred-41 convention, enter the exact slice as exact rational numerator columns (class tag exact-extraprime on the map); the same 71 keys leave the two-prime slice",
    "source_object_sha256": "33b6847b68306a60cf11f426d8d4e2d5344c03a0e88f880f45b19752b6d8f7c9",
    "source_object_form": "a gzip pickle of one dict: receipt, stamp_utc, nodes (34 (num, den) pairs in record order), columns keyed (target, master) exactly as the two-prime bank, each with support / rung / eT2 / slots / coeffs per node / convention / class",
    "source_receipts_sha256": {
      "grid_fit": "575e94ec77ee669024a2f227fc097aa000e576e4e26d75a4b26a3ca97ce60585",
      "fit_wrapper": "1cb87baec9fe09480b9b942852c5f28979106588cf723a5d09aa2ee0fa2b6504"
    },
    "promoted": {
      "columns": 71,
      "by_convention": {
        "direct": 68,
        "fold16-exact": 3
      },
      "sentence": "promoted 71 = 68 direct + 3 fold16-exact",
      "class_tag": "exact-extraprime",
      "primes_used_tally": {
        "5": 12,
        "6": 40,
        "7": 7,
        "8": 11,
        "9": 1
      }
    },
    "retained_two_prime": {
      "columns": 26,
      "targets": 13,
      "by_convention": {
        "fold18-pair": 13,
        "M39-pair": 13
      },
      "sentence": "retained two-prime 26 = the 13 targets whose (target, M41[39]) column is itself two-prime: the record pair (c41[18], c41[39]) is not separable from 39-master data; the folded 39-master column is closed in the record but does not replace the pair"
    },
    "verification": "each promoted column: its numerator solved by Chinese remaindering over 5 to 9 primes (the count per column is the entry's 'primes' field; the solve pool held 78 primes) on the 624 fit points of the 676-point record grid, verified at 2 fresh primes on every fit point (0 mismatches on every column), exactly at the 52 withheld grid points (0 mismatches on every column), and against the record's residues mod both fit primes at every one of the 34 nodes (0 mismatched slots on every column); re-checked at this re-issue from the object alone: the dense coefficients of every promoted column reduce mod both fit primes to the served two-prime residues at node 101 on every slot of the full (ds+1)(dt+1) grid (90322 slots checked, 0 mismatches)",
    "counts_before": {
      "exact_cols": 4184,
      "fits_cols": 97
    },
    "counts_after": {
      "exact_cols": 4255,
      "fits_cols": 26
    },
    "layout": "promoted entries in the exact-slice layout: coeffs keyed by node index (node 0 = d 101) holding the dense (ds+1)(dt+1) list of (num, den) pairs, (0, 1) where the numerator has no term; support / rung / eT2 as the two-prime entry; primes = the number of primes of the closure",
    "files": "written with pickle protocol 2 and gzip (mtime 0, level 9); the served entries carried over as the same objects (asserted byte-equal per entry)",
    "banks_before_sha256": {
      "kernel_exact.pkl.gz": "8c8a75f9ccd14741e79a412373ab4decd771019326254c9e080a9e63e2b2f7b6",
      "kernel_fits.pkl.gz": "8c8dd05404385fdfca9953c830fd376a2af948802e18977cac2cd4dd66e6c20b"
    },
    "banks_after_sha256": {
      "kernel_exact.pkl.gz": "e81e1eea381a03ff3258e913030d31fed43cf91a1f1fdb1254cc2c4d91d62a83",
      "kernel_fits.pkl.gz": "db0856b973d9b65a91e746f41d89aed1351348c53be17bf461f0f723731cd626"
    },
    "provenance_note": "provenance.source_bank_sha256 and provenance.verified describe the pre-succession full banks (banks_before_sha256: 4184 exact + 97 two-prime columns at node 0, the 2026-07-06 install); this slice is the node-0 restriction of the re-cut full banks banks_after_sha256 (4255 exact + 26 two-prime columns), verified object by object at emission"
  }
}