Pith Number

pith:DNB3PZB4

pith:2009:DNB3PZB4EMKK5JTFCBXP7HGOSA

not attested not anchored not stored refs pending

On Frobenius algebras in rigid monoidal categories

Carl Stigner, Jurgen Fuchs

arxiv:0901.4886 v1 · 2009-01-30 · math.CT · hep-th · 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{DNB3PZB4EMKK5JTFCBXP7HGOSA}

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.

Cited by

1 paper in Pith

Algebras of order parameters in one-dimensional spin systems

Receipt and verification

First computed	2026-07-04T15:37:10.598351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b43b7e43c2314aea665106eff9cce901914545e5c5fef3fb382d4c8888a8e91

Aliases

arxiv: 0901.4886 · arxiv_version: 0901.4886v1 · doi: 10.48550/arxiv.0901.4886 · pith_short_12: DNB3PZB4EMKK · pith_short_16: DNB3PZB4EMKK5JTF · pith_short_8: DNB3PZB4

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/DNB3PZB4EMKK5JTFCBXP7HGOSA \
  | 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: 1b43b7e43c2314aea665106eff9cce901914545e5c5fef3fb382d4c8888a8e91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03f71883bb8770a971411f289f42c9334a4517fa84d3ddb62d15ce1e70871064",
    "cross_cats_sorted": [
      "hep-th",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2009-01-30T13:59:28Z",
    "title_canon_sha256": "9ab3c06886169d35c63c6ed5288c2d1d2903efe01f7bcb1500741d86b3bf8524"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.4886",
    "kind": "arxiv",
    "version": 1
  }
}