Pith Number

pith:KURACU37

pith:2008:KURACU37AQ42I3YIAJHALOKVP3

not attested not anchored not stored refs pending

Double constructions of Frobenius algebras, Connes cocycles and their duality

Chengming Bai

arxiv:0808.3330 v3 · 2008-08-25 · math-ph · math.MP · 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{KURACU37AQ42I3YIAJHALOKVP3}

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	2026-05-18T04:41:26.302397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

552201537f0439a46f08024e05b9557efbc71958776d8a8dd9fef41bb8a87325

Aliases

arxiv: 0808.3330 · arxiv_version: 0808.3330v3 · doi: 10.48550/arxiv.0808.3330 · pith_short_12: KURACU37AQ42 · pith_short_16: KURACU37AQ42I3YI · pith_short_8: KURACU37

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/KURACU37AQ42I3YIAJHALOKVP3 \
  | 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: 552201537f0439a46f08024e05b9557efbc71958776d8a8dd9fef41bb8a87325

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a6806f7e5eb90b762f94336d3d62d7c9dbd0f4824c8dd175bb1139677697f0e",
    "cross_cats_sorted": [
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-08-25T10:58:53Z",
    "title_canon_sha256": "fbacd544ada3daee08f5c11ffd2ac906cefc28e4e1d9a910bf20e6bd4b9188bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.3330",
    "kind": "arxiv",
    "version": 3
  }
}