Pith Number

pith:OX5KZU22

pith:2011:OX5KZU227T7JPGF76FBDLURSSI

not attested not anchored not stored refs pending

On braided near-group categories

Josiah Thornton

arxiv:1102.4640 v1 · 2011-02-22 · 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{OX5KZU227T7JPGF76FBDLURSSI}

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	2026-05-18T04:28:07.747185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75faacd35afcfe9798bff14235d2329221e563b51dff4b62e3af5c3d927f0bc3

Aliases

arxiv: 1102.4640 · arxiv_version: 1102.4640v1 · doi: 10.48550/arxiv.1102.4640 · pith_short_12: OX5KZU227T7J · pith_short_16: OX5KZU227T7JPGF7 · pith_short_8: OX5KZU22

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/OX5KZU227T7JPGF76FBDLURSSI \
  | 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: 75faacd35afcfe9798bff14235d2329221e563b51dff4b62e3af5c3d927f0bc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3af90d69e92fab4a8df771b299f3b852d4302b79f310852ac7cfd026715575a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-02-22T23:55:23Z",
    "title_canon_sha256": "f69ac52d9a542dde6a876f0907d5d814aa3526452d0143c46a32dd392b41752f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4640",
    "kind": "arxiv",
    "version": 1
  }
}