Pith Number

pith:Q6U3Z535

pith:2012:Q6U3Z535U5FJ5RELV5NQYXT4OP

not attested not anchored not stored refs pending

On the center of fusion categories

Alain Brugui\`eres, Alexis Virelizier

arxiv:1203.4180 v2 · 2012-03-19 · 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{Q6U3Z535U5FJ5RELV5NQYXT4OP}

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	2026-05-18T03:46:58.923971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87a9bcf77da74a9ec48baf5b0c5e7c73f23aee00dcc4f8f5c1ba438f3ef4ba67

Aliases

arxiv: 1203.4180 · arxiv_version: 1203.4180v2 · doi: 10.48550/arxiv.1203.4180 · pith_short_12: Q6U3Z535U5FJ · pith_short_16: Q6U3Z535U5FJ5REL · pith_short_8: Q6U3Z535

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/Q6U3Z535U5FJ5RELV5NQYXT4OP \
  | 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: 87a9bcf77da74a9ec48baf5b0c5e7c73f23aee00dcc4f8f5c1ba438f3ef4ba67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ceb3cefe1e0c941160667109cc99078ca00aed232c697a22be2d7b3a872face",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-03-19T17:29:15Z",
    "title_canon_sha256": "07fa332472315688e10687deca8b299c1efb838ac78321f63e13e94c36fd9558"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4180",
    "kind": "arxiv",
    "version": 2
  }
}