Pith Number

pith:5VGXNPGQ

pith:2013:5VGXNPGQ7GPCLIJKSMVBRVNJGC

not attested not anchored not stored refs pending

On integral fusion categories with low-dimensional simple objects

Jingcheng Dong, Li Dai

arxiv:1308.5386 v1 · 2013-08-25 · 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{5VGXNPGQ7GPCLIJKSMVBRVNJGC}

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	2026-05-18T01:13:28.985958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed4d76bcd0f99e25a12a932a18d5a930b85d5f2bc4b7f26b96f74db4afdc28a9

Aliases

arxiv: 1308.5386 · arxiv_version: 1308.5386v1 · doi: 10.48550/arxiv.1308.5386 · pith_short_12: 5VGXNPGQ7GPC · pith_short_16: 5VGXNPGQ7GPCLIJK · pith_short_8: 5VGXNPGQ

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/5VGXNPGQ7GPCLIJKSMVBRVNJGC \
  | 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: ed4d76bcd0f99e25a12a932a18d5a930b85d5f2bc4b7f26b96f74db4afdc28a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a73a5f5b932756ffbef8d305e5622d732bfde12cca944d7190dc69052725d99e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-08-25T08:06:25Z",
    "title_canon_sha256": "83659c3d0cc585aaff7a8be7a855777a9e99948f22c517c1dbeb11b957efd526"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5386",
    "kind": "arxiv",
    "version": 1
  }
}