Pith Number

pith:SHZSY3ZH

pith:2020:SHZSY3ZH55JNXYLSAKEPMC5VDR

not attested not anchored not stored refs pending

Fusion 2-categories with no line operators are grouplike

Matthew Yu, Theo Johnson-Freyd

arxiv:2010.07950 v1 · 2020-10-15 · math.QA · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SHZSY3ZH55JNXYLSAKEPMC5VDR}

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

2 papers in Pith

ICTP Lectures on (Non-)Invertible Generalized Symmetries

The Classification of Pauli Stabilizer Codes: A Lattice and Continuum Treatise

Receipt and verification

First computed	2026-07-05T06:22:54.430577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91f32c6f27ef52dbe1720288f60bb51c75ecac22171b77fa3056fa2059898ce7

Aliases

arxiv: 2010.07950 · arxiv_version: 2010.07950v1 · doi: 10.48550/arxiv.2010.07950 · pith_short_12: SHZSY3ZH55JN · pith_short_16: SHZSY3ZH55JNXYLS · pith_short_8: SHZSY3ZH

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/SHZSY3ZH55JNXYLSAKEPMC5VDR \
  | 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: 91f32c6f27ef52dbe1720288f60bb51c75ecac22171b77fa3056fa2059898ce7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "166f3fa79c2e9c2f8b3e9308499d4295aeb55708624b13d0e2ceb7cd4c4a5f08",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2020-10-15T18:00:03Z",
    "title_canon_sha256": "283e75c2cd94329f767ad24e42458eee0f9294e8328b17905a1a1655faa7f0d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.07950",
    "kind": "arxiv",
    "version": 1
  }
}