Pith Number

pith:M7WJKTMS

pith:2009:M7WJKTMS57XLZOMPMMFIPFMTIN

not attested not anchored not stored refs pending

How model sets can be determined by their two-point and three-point correlations

Robert V. Moody, Xinghua Deng

arxiv:0901.4381 v3 · 2009-01-28 · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M7WJKTMS57XLZOMPMMFIPFMTIN}

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.

Receipt and verification

First computed	2026-05-18T02:14:55.522087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67ec954d92efeebcb98f630a879593436039e8e6b443f642c0e6e7f2e7db7861

Aliases

arxiv: 0901.4381 · arxiv_version: 0901.4381v3 · doi: 10.48550/arxiv.0901.4381 · pith_short_12: M7WJKTMS57XL · pith_short_16: M7WJKTMS57XLZOMP · pith_short_8: M7WJKTMS

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/M7WJKTMS57XLZOMPMMFIPFMTIN \
  | 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: 67ec954d92efeebcb98f630a879593436039e8e6b443f642c0e6e7f2e7db7861

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2159749d6730509691131c643787a4181e099ba28240754bb8856c4a106c1353",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-01-28T01:04:32Z",
    "title_canon_sha256": "b652ebe9fcc66eac9090727cc4c6012c6a60eaed2a0e7ef111efec507b76f4ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.4381",
    "kind": "arxiv",
    "version": 3
  }
}