Pith Number

pith:KVAK4OYG

pith:2016:KVAK4OYGMUO4A2RWMJFBMTYDHK

not attested not anchored not stored refs pending

3-dimensional defect TQFTs and their tricategories

Catherine Meusburger, Gregor Schaumann, Nils Carqueville

arxiv:1603.01171 v2 · 2016-03-03 · math.QA · hep-th · math-ph · math.CT · 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{KVAK4OYGMUO4A2RWMJFBMTYDHK}

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

Examples of Invertible Gauging via Orbifold Data, Zesting, and Equivariantisation

Receipt and verification

First computed	2026-07-05T02:07:42.159778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5540ae3b06651dc06a36624a164f033a8ea4f0c5884e70be198544b5db82751b

Aliases

arxiv: 1603.01171 · arxiv_version: 1603.01171v2 · doi: 10.48550/arxiv.1603.01171 · pith_short_12: KVAK4OYGMUO4 · pith_short_16: KVAK4OYGMUO4A2RW · pith_short_8: KVAK4OYG

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/KVAK4OYGMUO4A2RWMJFBMTYDHK \
  | 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: 5540ae3b06651dc06a36624a164f033a8ea4f0c5884e70be198544b5db82751b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebb5d436bfb9ad927e5ca56d0e1ba80b28b9be95ce5d3952836f793c964dc027",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.CT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-03-03T16:53:37Z",
    "title_canon_sha256": "f8cb73329547477adc0feb33a57107c80c828e70c2c324640955dc141fb7be4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01171",
    "kind": "arxiv",
    "version": 2
  }
}