Pith Number

pith:PMIVJXRT

pith:2024:PMIVJXRTLETTMKTJOJ7XV6HUQ2

not attested not anchored not stored refs pending

Flatness of $\alpha$-induced bi-unitary connections and commutativity of Frobenius algebras

Yasuyuki Kawahigashi

arxiv:2408.05501 v2 · 2024-08-10 · math.QA · hep-th · math-ph · math.MP · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMIVJXRTLETTMKTJOJ7XV6HUQ2}

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

Alterfold Theory and Topological Modular Invariance

Receipt and verification

First computed	2026-07-05T11:45:53.423873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b1154de335927362a69727f7af8f4868a0f7a2094ef6af79c5fa0cfa783d7a6

Aliases

arxiv: 2408.05501 · arxiv_version: 2408.05501v2 · doi: 10.48550/arxiv.2408.05501 · pith_short_12: PMIVJXRTLETT · pith_short_16: PMIVJXRTLETTMKTJ · pith_short_8: PMIVJXRT

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/PMIVJXRTLETTMKTJOJ7XV6HUQ2 \
  | 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: 7b1154de335927362a69727f7af8f4868a0f7a2094ef6af79c5fa0cfa783d7a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edbf1845388bade423ebe9219c8f113b336c82d052fc9218e11a3fe0fb6ed138",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2024-08-10T09:39:34Z",
    "title_canon_sha256": "6983e4a1f541f3f986c9f2f7d757246d59958d3f29af7efdf84c02822bb5b976"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.05501",
    "kind": "arxiv",
    "version": 2
  }
}