Pith Number

pith:XWKLSISA

pith:2024:XWKLSISAIEVKMENUQDBTKUOLTQ

not attested not anchored not stored refs pending

Natural Term Logic

Clarence Protin

Every Natural Term Logic term reduces to a unique normal form through structural, predicative and pushing-in reductions.

arxiv:2401.01668 v10 · 2024-01-03 · math.LO

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XWKLSISAIEVKMENUQDBTKUOLTQ}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

Each NTL term T reduces to a unique normal term N; the reductions fall into structural, predicative and pushing-in categories, and beta nu N = N when N is normal.

C2weakest assumption

The three classes of reductions are terminating and confluent on the defined syntax of NTL terms (implicit in the claim that every term reaches a unique normal form).

C3one line summary

NTL defines terms and three classes of reductions (structural, predicative, pushing-in) that yield a unique normal form for every term, with a many-to-one map to Bealer's closed terms.

Receipt and verification

First computed	2026-05-26T01:03:07.983310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd94b92240412aa611b480c33551cb9c2843b43abd6c4e222c74651afe93c708

Aliases

arxiv: 2401.01668 · arxiv_version: 2401.01668v10 · doi: 10.48550/arxiv.2401.01668 · pith_short_12: XWKLSISAIEVK · pith_short_16: XWKLSISAIEVKMENU · pith_short_8: XWKLSISA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XWKLSISAIEVKMENUQDBTKUOLTQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: bd94b92240412aa611b480c33551cb9c2843b43abd6c4e222c74651afe93c708

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "788fb2b658021e13045510e0bea96fed18408ffe5696b87ab7fb9b639072da52",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2024-01-03T11:07:46Z",
    "title_canon_sha256": "526895330527bb0f3631994c3988fbc240965348907082d1e3bece27cf4ce2c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.01668",
    "kind": "arxiv",
    "version": 10
  }
}