Pith Number

pith:WQNNO4CW

pith:2026:WQNNO4CWW46TJ46ISC6FUHVOQ4

not attested not anchored not stored refs pending

Frobenius Algebras and Dual Bimodules in Monoidal 2-Categories

Hao Xu

arxiv:2606.02046 v1 · 2026-06-01 · math.QA · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WQNNO4CWW46TJ46ISC6FUHVOQ4}

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	2026-06-02T02:05:04.421734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b41ad77056b73d34f3c890bc5a1eae87366b2a01d64a94428fa602c67220129c

Aliases

arxiv: 2606.02046 · arxiv_version: 2606.02046v1 · doi: 10.48550/arxiv.2606.02046 · pith_short_12: WQNNO4CWW46T · pith_short_16: WQNNO4CWW46TJ46I · pith_short_8: WQNNO4CW

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/WQNNO4CWW46TJ46ISC6FUHVOQ4 \
  | 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: b41ad77056b73d34f3c890bc5a1eae87366b2a01d64a94428fa602c67220129c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d586f5928077693757f0a43d94e0eb499686ca32c35f7ede8150b4a414f4edd1",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2026-06-01T10:36:38Z",
    "title_canon_sha256": "c0d309398bddced40963d75a5c6450c24ca102691ce99bdb38c97c90024ecb08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02046",
    "kind": "arxiv",
    "version": 1
  }
}