Pith Number

pith:MO22D3YB

pith:2022:MO22D3YBDUROUMB7J2T2OF4RCZ

not attested not anchored not stored refs pending

Unitary braided-enriched monoidal categories

David Penneys, Peter Huston, Zachary Dell

arxiv:2208.14992 v2 · 2022-08-31 · math.CT · 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{MO22D3YBDUROUMB7J2T2OF4RCZ}

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

Orthonormal bases for higher Hilbert spaces

Receipt and verification

First computed	2026-07-05T04:53:44.891648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63b5a1ef011d22ea303f4ea7a71791166ad9cdcd03a301e55e8830b3abd75ba8

Aliases

arxiv: 2208.14992 · arxiv_version: 2208.14992v2 · doi: 10.48550/arxiv.2208.14992 · pith_short_12: MO22D3YBDURO · pith_short_16: MO22D3YBDUROUMB7 · pith_short_8: MO22D3YB

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/MO22D3YBDUROUMB7J2T2OF4RCZ \
  | 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: 63b5a1ef011d22ea303f4ea7a71791166ad9cdcd03a301e55e8830b3abd75ba8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0d329cab4a7062d5c92e4e33059414a23a15e185e74656d61261e813134a372",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2022-08-31T17:46:52Z",
    "title_canon_sha256": "6b895c8c8385c63bea2884e1ad6ca55e98f66b06255caf227b3b399722cd5356"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.14992",
    "kind": "arxiv",
    "version": 2
  }
}