Pith Number

pith:4CLTKOPT

pith:2023:4CLTKOPTOI3ZITNEZI3O5RY77A

not attested not anchored not stored refs pending

Symmetric monoidal equivalences of topological quantum field theories in dimension two and Frobenius algebras

Pablo S. Ocal

arxiv:2307.05309 v2 · 2023-07-11 · 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{4CLTKOPTOI3ZITNEZI3O5RY77A}

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	2026-07-05T08:28:33.217783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0973539f37237944da4ca36eec71ff834b55f890df1775cd431f5f190875244

Aliases

arxiv: 2307.05309 · arxiv_version: 2307.05309v2 · doi: 10.48550/arxiv.2307.05309 · pith_short_12: 4CLTKOPTOI3Z · pith_short_16: 4CLTKOPTOI3ZITNE · pith_short_8: 4CLTKOPT

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/4CLTKOPTOI3ZITNEZI3O5RY77A \
  | 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: e0973539f37237944da4ca36eec71ff834b55f890df1775cd431f5f190875244

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "841e8236e0c9187bc2ae5d9cb995b034989bb3bde1bf9c919d1af2b51436e993",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2023-07-11T14:57:06Z",
    "title_canon_sha256": "b99784b1101519a0b03cd9d053af883007d00a385915ced8d284c61d375a9eb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.05309",
    "kind": "arxiv",
    "version": 2
  }
}