Pith Number

pith:4XW44BIZ

pith:2015:4XW44BIZJNH6DNQ2TOKM6ZLTVI

not attested not anchored not stored refs pending

Modular categories as representations of the 3-dimensional bordism 2-category

Bruce Bartlett, Christopher J. Schommer-Pries, Christopher L. Douglas, Jamie Vicary

arxiv:1509.06811 v1 · 2015-09-22 · math.AT · math.CT · math.GT · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4XW44BIZJNH6DNQ2TOKM6ZLTVI}

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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

Topological Field Theories and the Algebraic Structures of the Two-Sphere

Finite Pre-Tensor Categories that are Morita Equivalent to Finite Tensor Categories

Receipt and verification

First computed	2026-05-18T01:32:17.952543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5edce05194b4fe1b61a9b94cf6573aa035e59e6a90fb390afdfa4965475413c

Aliases

arxiv: 1509.06811 · arxiv_version: 1509.06811v1 · doi: 10.48550/arxiv.1509.06811 · pith_short_12: 4XW44BIZJNH6 · pith_short_16: 4XW44BIZJNH6DNQ2 · pith_short_8: 4XW44BIZ

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/4XW44BIZJNH6DNQ2TOKM6ZLTVI \
  | 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: e5edce05194b4fe1b61a9b94cf6573aa035e59e6a90fb390afdfa4965475413c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb1c579ebf70a098a02438785a7a2503878ec36d0bf28db9c1bfd9f8433d71c5",
    "cross_cats_sorted": [
      "math.CT",
      "math.GT",
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-09-22T23:29:02Z",
    "title_canon_sha256": "cb06d97f9e9bd841a817a858c6c6757bf0421b225584b003d7ee5e7a09e93e6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06811",
    "kind": "arxiv",
    "version": 1
  }
}