Pith Number

pith:TPX57NNW

pith:2002:TPX57NNWXAXJPEJYBDRB5WQNKH

not attested not anchored not stored refs pending

On a theorem of Kontsevich

James Conant, Karen Vogtmann

arxiv:math/0208169 v2 · 2002-08-22 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TPX57NNWXAXJPEJYBDRB5WQNKH}

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	2026-05-18T02:41:32.908489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9befdfb5b6b82e97913808e21eda0d51c64d5d8bb713eca1af89563a0c634065

Aliases

arxiv: math/0208169 · arxiv_version: math/0208169v2 · doi: 10.48550/arxiv.math/0208169 · pith_short_12: TPX57NNWXAXJ · pith_short_16: TPX57NNWXAXJPEJY · pith_short_8: TPX57NNW

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/TPX57NNWXAXJPEJYBDRB5WQNKH \
  | 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: 9befdfb5b6b82e97913808e21eda0d51c64d5d8bb713eca1af89563a0c634065

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37f08629ab948e9662013a2b88701a734e4b06841df1325c128b997064363012",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2002-08-22T19:26:40Z",
    "title_canon_sha256": "5e22cc7a26e080afcee18f4d01f9f1a0b0ad941d8904a50fc01cece278372aef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0208169",
    "kind": "arxiv",
    "version": 2
  }
}