Pith Number

pith:YYEIG74R

pith:2009:YYEIG74R5YNDQR56N5K7QGCR7E

not attested not anchored not stored refs pending

A Note on the Chas-Sullivan product

Francois Laudenbach (LMJL)

arxiv:0903.2801 v2 · 2009-03-16 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YYEIG74R5YNDQR56N5K7QGCR7E}

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	2026-05-18T04:20:59.356369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c608837f91ee1a3847be6f55f81851f9068b43e2267d07f2c5145ed7dd3270d8

Aliases

arxiv: 0903.2801 · arxiv_version: 0903.2801v2 · doi: 10.48550/arxiv.0903.2801 · pith_short_12: YYEIG74R5YND · pith_short_16: YYEIG74R5YNDQR56 · pith_short_8: YYEIG74R

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/YYEIG74R5YNDQR56N5K7QGCR7E \
  | 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: c608837f91ee1a3847be6f55f81851f9068b43e2267d07f2c5145ed7dd3270d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c529f310c3aef941964bc19fedccfaeeb4518fc1b2367e7a944c7d2cdc9be521",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-03-16T17:01:28Z",
    "title_canon_sha256": "4f9e8e2678621136eb0e90d6e284504205e08ded54fd9ddb2feeee3f099c4bc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.2801",
    "kind": "arxiv",
    "version": 2
  }
}