Pith Number

pith:OENKI4P2

pith:2010:OENKI4P22JW5IA3JI6ZYYJ6UYT

not attested not anchored not stored refs pending

Pentagon and hexagon equations following Furusho

Dror Bar-Natan, Zsuzsanna Dancso

arxiv:1010.0754 v5 · 2010-10-05 · 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{OENKI4P22JW5IA3JI6ZYYJ6UYT}

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	2026-05-18T02:23:46.960354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

711aa471fad26dd4036947b38c27d4c4d61d6633c6ac3b1a24db5f62cefd0921

Aliases

arxiv: 1010.0754 · arxiv_version: 1010.0754v5 · doi: 10.48550/arxiv.1010.0754 · pith_short_12: OENKI4P22JW5 · pith_short_16: OENKI4P22JW5IA3J · pith_short_8: OENKI4P2

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/OENKI4P22JW5IA3JI6ZYYJ6UYT \
  | 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: 711aa471fad26dd4036947b38c27d4c4d61d6633c6ac3b1a24db5f62cefd0921

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91ae2aeb4eb7ed2742776ae047ac99c6f69b93b3054ba3c86d1390ccf9a21f03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-10-05T02:48:20Z",
    "title_canon_sha256": "c2c4ae9e37f903f237c41dba359f018862f2683a0f68849e04659b03d8073554"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0754",
    "kind": "arxiv",
    "version": 5
  }
}