Pith Number

pith:45652MQI

pith:2007:45652MQIA3QLGAEI6HZTUXO4GY

not attested not anchored not stored refs pending

Virtual Yang-Baxter cocycle invariants

Jose Ceniceros, Sam Nelson

arxiv:0708.4254 v2 · 2007-08-31 · math.GT · 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{45652MQIA3QLGAEI6HZTUXO4GY}

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	2026-07-04T15:09:41.557699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e77ddd320806e0b30088f1f33a5ddc363ec4609dbf4772ecc089450b3a3c64d0

Aliases

arxiv: 0708.4254 · arxiv_version: 0708.4254v2 · doi: 10.48550/arxiv.0708.4254 · pith_short_12: 45652MQIA3QL · pith_short_16: 45652MQIA3QLGAEI · pith_short_8: 45652MQI

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/45652MQIA3QLGAEI6HZTUXO4GY \
  | 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: e77ddd320806e0b30088f1f33a5ddc363ec4609dbf4772ecc089450b3a3c64d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d2f3edcafe2d9c06421b09121fd615745079c6519608c3f3d3d9b9632348c2e",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2007-08-31T00:31:44Z",
    "title_canon_sha256": "a739be2d1e154019846e1a871c4ea99f72b31b09ebe64ae1dfdf5023c4bab4e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.4254",
    "kind": "arxiv",
    "version": 2
  }
}