Pith Number

pith:5UMWNAWI

pith:2013:5UMWNAWILHMJR7G3UITV5EGFFI

not attested not anchored not stored refs pending

On $3$-gauge transformations, $3$-curvature and $\mathbf{Gray}$-categories

Wei Wang

arxiv:1311.3796 v2 · 2013-11-15 · math-ph · hep-th · math.CT · math.DG · 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{5UMWNAWILHMJR7G3UITV5EGFFI}

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

3-Crossed Module Structure in the Five-Dimensional Topological Axion Electrodynamics

Receipt and verification

First computed	2026-05-18T01:46:24.513759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed196682c859d898fcdba2275e90c52a05b1204031200c06413023a115460303

Aliases

arxiv: 1311.3796 · arxiv_version: 1311.3796v2 · doi: 10.48550/arxiv.1311.3796 · pith_short_12: 5UMWNAWILHMJ · pith_short_16: 5UMWNAWILHMJR7G3 · pith_short_8: 5UMWNAWI

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/5UMWNAWILHMJR7G3UITV5EGFFI \
  | 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: ed196682c859d898fcdba2275e90c52a05b1204031200c06413023a115460303

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c7dab7a51c03b2189b0afd085926c756e97271007bc18f1f57e1615f4042fed",
    "cross_cats_sorted": [
      "hep-th",
      "math.CT",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-11-15T10:28:53Z",
    "title_canon_sha256": "aaa0772f03f507d43f39378f341dd0d74228be79a2f290468281d5d24cda7157"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3796",
    "kind": "arxiv",
    "version": 2
  }
}