Pith Number

pith:MT3DRV4X

pith:2013:MT3DRV4XSPZQQ42YRRA25ZXCKN

not attested not anchored not stored refs pending

Pivotal fusion categories of rank 3 (with an Appendix written jointly with Dmitri Nikshych)

Victor Ostrik

arxiv:1309.4822 v1 · 2013-09-18 · 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{MT3DRV4XSPZQQ42YRRA25ZXCKN}

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	2026-05-18T03:12:57.224099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64f638d79793f30873588c41aee6e25349cf419392d8916b17941619c88c53eb

Aliases

arxiv: 1309.4822 · arxiv_version: 1309.4822v1 · doi: 10.48550/arxiv.1309.4822 · pith_short_12: MT3DRV4XSPZQ · pith_short_16: MT3DRV4XSPZQQ42Y · pith_short_8: MT3DRV4X

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/MT3DRV4XSPZQQ42YRRA25ZXCKN \
  | 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: 64f638d79793f30873588c41aee6e25349cf419392d8916b17941619c88c53eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "686d5a7a5044374530f1a5e1d06f157caff386cba1c97fa85b4b18ed91d75ea0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-09-18T23:30:18Z",
    "title_canon_sha256": "b1468b3e4b48f2a8540364df27514c940c1c6536dd1074b999b8cede1ceef060"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4822",
    "kind": "arxiv",
    "version": 1
  }
}