Pith Number

pith:B7ZK7PQI

pith:2025:B7ZK7PQIEVRZJBXU7VXXFFL23L

not attested not anchored not stored refs pending

Taking model-complete cores

Bertalan Bodor, Manuel Bodirsky, Paolo Marimon

arxiv:2512.21278 v2 · 2025-12-24 · 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{B7ZK7PQIEVRZJBXU7VXXFFL23L}

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.

Cited by

2 papers in Pith

On the notion of a patterning property in model theory

Some applications of the real strict order property hierarchy

Receipt and verification

First computed	2026-07-29T01:24:27.308870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ff2afbe0825639486f4fd6f72957adae5e4c96e5aba60a4436ebcf19f9ad397

Aliases

arxiv: 2512.21278 · arxiv_version: 2512.21278v2 · doi: 10.48550/arxiv.2512.21278 · pith_short_12: B7ZK7PQIEVRZ · pith_short_16: B7ZK7PQIEVRZJBXU · pith_short_8: B7ZK7PQI

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/B7ZK7PQIEVRZJBXU7VXXFFL23L \
  | 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: 0ff2afbe0825639486f4fd6f72957adae5e4c96e5aba60a4436ebcf19f9ad397

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80703580dacbdf132997305a1bc5a6c49725d5030f38b55dba47a24d58acc605",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2025-12-24T16:49:10Z",
    "title_canon_sha256": "2ce97db9fb49d32319413249063dc43f82ff5e802447607d5c4b17326cdef280"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.21278",
    "kind": "arxiv",
    "version": 2
  }
}