Pith Number

pith:FNRUPKAJ

pith:2013:FNRUPKAJVUZUSUIINYMWOMYHHD

not attested not anchored not stored refs pending

Fusion categories between $C \boxtimes D$ and $C * D$

David Penneys, Masaki Izumi, Scott Morrison

arxiv:1308.5723 v1 · 2013-08-27 · math.OA · math.CT · 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{FNRUPKAJVUZUSUIINYMWOMYHHD}

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	2026-05-18T03:14:51.461337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b6347a809ad334951086e1967330738eb09971d714240a69cddb0eea5ac2c58

Aliases

arxiv: 1308.5723 · arxiv_version: 1308.5723v1 · doi: 10.48550/arxiv.1308.5723 · pith_short_12: FNRUPKAJVUZU · pith_short_16: FNRUPKAJVUZUSUII · pith_short_8: FNRUPKAJ

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/FNRUPKAJVUZUSUIINYMWOMYHHD \
  | 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: 2b6347a809ad334951086e1967330738eb09971d714240a69cddb0eea5ac2c58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e34679f4d1fcfa112d048b4fe5cb81c7c6b84b28c4a70c8daec3083fe80ab83a",
    "cross_cats_sorted": [
      "math.CT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-08-27T00:21:16Z",
    "title_canon_sha256": "dec2bc29f6a42f98b0f44cc16597fc87a2fc1e57193af858407ea0ef5a821301"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5723",
    "kind": "arxiv",
    "version": 1
  }
}