Pith Number

pith:QVDOBJFZ

pith:2014:QVDOBJFZGKADEKEOHPOAEUI7UN

not attested not anchored not stored refs pending

Extended 3-dimensional bordism as the theory of modular objects

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

arxiv:1411.0945 v1 · 2014-11-04 · math.GT · math.AT · math.CT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QVDOBJFZGKADEKEOHPOAEUI7UN}

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

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

Receipt and verification

First computed	2026-05-18T02:38:37.868937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8546e0a4b9328032288e3bdc02511fa363956802730308310418c78f1f69c137

Aliases

arxiv: 1411.0945 · arxiv_version: 1411.0945v1 · doi: 10.48550/arxiv.1411.0945 · pith_short_12: QVDOBJFZGKAD · pith_short_16: QVDOBJFZGKADEKEO · pith_short_8: QVDOBJFZ

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/QVDOBJFZGKADEKEOHPOAEUI7UN \
  | 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: 8546e0a4b9328032288e3bdc02511fa363956802730308310418c78f1f69c137

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4c75f453e0c892fcabf725deecafddc3843d0346d2db3e2635f0216687e386c",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-11-04T15:45:24Z",
    "title_canon_sha256": "a43da75638a198fc5b5aee669873c9998380e4cd9c352afd035a323b5eb13da7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0945",
    "kind": "arxiv",
    "version": 1
  }
}