Pith Number

pith:WLOG3BWT

pith:1996:WLOG3BWTNVX7KVHX22OTLWOBL4

not attested not anchored not stored refs pending

Symmetric Gibbs measures

Karl Petersen, Klaus Schmidt

arxiv:math/9604240 v1 · 1996-04-30 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WLOG3BWTNVX7KVHX22OTLWOBL4}

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	2026-05-18T01:05:47.552521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2dc6d86d36d6ff554f7d69d35d9c15f217bb27ad5ae621ff790e53bdeab8ffe

Aliases

arxiv: math/9604240 · arxiv_version: math/9604240v1 · doi: 10.48550/arxiv.math/9604240 · pith_short_12: WLOG3BWTNVX7 · pith_short_16: WLOG3BWTNVX7KVHX · pith_short_8: WLOG3BWT

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/WLOG3BWTNVX7KVHX22OTLWOBL4 \
  | 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: b2dc6d86d36d6ff554f7d69d35d9c15f217bb27ad5ae621ff790e53bdeab8ffe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "746222f678b6d2ce88655deccc58e0f4d4ef0217fdbbe1237b7ec01200afddb6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "1996-04-30T00:00:00Z",
    "title_canon_sha256": "e90fd260288b2bdce7cb4149f4eac1314ec6de7edac1516f9a50eeb8ef9c6dc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9604240",
    "kind": "arxiv",
    "version": 1
  }
}