Pith Number

pith:M4DUQTNR

pith:2022:M4DUQTNR5M7KURP2U6PHVVVC5F

not attested not anchored not stored refs pending

State sum models with defects based on spherical fusion categories

Catherine Meusburger

arxiv:2205.06874 v2 · 2022-05-13 · math.QA · math-ph · math.CT · math.GT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M4DUQTNR5M7KURP2U6PHVVVC5F}

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

Parabolic skein modules

Receipt and verification

First computed	2026-07-05T06:21:03.451573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6707484db1eb3eaa45faa79e7ad6a2e973180b6a4c21f6f799c24cafa87b0d1b

Aliases

arxiv: 2205.06874 · arxiv_version: 2205.06874v2 · doi: 10.48550/arxiv.2205.06874 · pith_short_12: M4DUQTNR5M7K · pith_short_16: M4DUQTNR5M7KURP2 · pith_short_8: M4DUQTNR

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/M4DUQTNR5M7KURP2U6PHVVVC5F \
  | 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: 6707484db1eb3eaa45faa79e7ad6a2e973180b6a4c21f6f799c24cafa87b0d1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a396223f4806632293a75df66c9cb14e158860e031146d41c527a898a7a8779",
    "cross_cats_sorted": [
      "math-ph",
      "math.CT",
      "math.GT",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2022-05-13T20:16:15Z",
    "title_canon_sha256": "93a4e70f81b5b8a7f7f0a78fcfb53434bd0d6ec251da62e0854468338fd6565b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.06874",
    "kind": "arxiv",
    "version": 2
  }
}