Pith Number

pith:W5ARXIAJ

pith:2012:W5ARXIAJUZ7FJD2PFECHT6YPXH

not attested not anchored not stored refs pending

Cyclic extensions of fusion categories via the Brauer-Picard groupoid

David Jordan, Noah Snyder, Pinhas Grossman

arxiv:1211.6414 v2 · 2012-11-27 · math.QA · math.AT · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5ARXIAJUZ7FJD2PFECHT6YPXH}

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	2026-05-18T01:03:37.267928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7411ba009a67e548f4f290479fb0fb9e3d47c1e9f6b107918c0b661e44f4881

Aliases

arxiv: 1211.6414 · arxiv_version: 1211.6414v2 · doi: 10.48550/arxiv.1211.6414 · pith_short_12: W5ARXIAJUZ7F · pith_short_16: W5ARXIAJUZ7FJD2P · pith_short_8: W5ARXIAJ

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/W5ARXIAJUZ7FJD2PFECHT6YPXH \
  | 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: b7411ba009a67e548f4f290479fb0fb9e3d47c1e9f6b107918c0b661e44f4881

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78e3ead471afb552048005cfa6b97a04eee02257e9af28642caec2773f8f4f9b",
    "cross_cats_sorted": [
      "math.AT",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-11-27T20:33:38Z",
    "title_canon_sha256": "2f5957a0e1805f54c454d6f923a6ba51e277dcb250d7dafe75ecd6d9bb3d893c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6414",
    "kind": "arxiv",
    "version": 2
  }
}