Pith Number

pith:SYYRNUMG

pith:2026:SYYRNUMGM7KLK2UBQNTGNSDNVW

not attested not anchored not stored refs pending

Tarskian truth theories over set theory

Ali Enayat

Model-theoretic methods establish new proof-theoretic theorems for Tarskian truth theories over KP and ZF set theory.

arxiv:2604.03825 v4 · 2026-04-04 · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SYYRNUMGM7KLK2UBQNTGNSDNVW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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

This work uses mostly model-theoretic methods to establish new proof-theoretic theorems about several axiomatic theories of truth over KP and stronger theories, especially ZF.

C2weakest assumption

The paper relies on the existence of suitable models for the base set theories and on standard model-theoretic constructions whose applicability to the specific truth axioms is not detailed in the abstract.

C3one line summary

Establishes new proof-theoretic theorems for several Tarskian truth theories over KP and ZF using model-theoretic methods.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-03T01:05:12.551733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

963116d18667d4b56a81836666c86dada49cdeff68b4ffb1ae8bc13b6e7624da

Aliases

arxiv: 2604.03825 · arxiv_version: 2604.03825v4 · doi: 10.48550/arxiv.2604.03825 · pith_short_12: SYYRNUMGM7KL · pith_short_16: SYYRNUMGM7KLK2UB · pith_short_8: SYYRNUMG

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/SYYRNUMGM7KLK2UBQNTGNSDNVW \
  | 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: 963116d18667d4b56a81836666c86dada49cdeff68b4ffb1ae8bc13b6e7624da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf488b8ded10fe1ca4b4bfe5f67380bf9b7c44d658091d0e2d783950067e6217",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-04-04T18:40:28Z",
    "title_canon_sha256": "7d0439569b1b9f00ffd9c1343f42a34e4111ab8ddd77ca2bde86ff1e03e14ace"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.03825",
    "kind": "arxiv",
    "version": 4
  }
}