Pith Number

pith:F73UXBSF

pith:2013:F73UXBSFBR7RQGZYFGLTOQBT57

not attested not anchored not stored refs pending

Constructing Complicated Spheres

Frank H. Lutz, Mimi Tsuruga

arxiv:1302.6856 v2 · 2013-02-27 · math.CO · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F73UXBSFBR7RQGZYFGLTOQBT57}

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

Small Triangulations of $4$-Manifolds: Introducing the $4$-Manifold Census

Receipt and verification

First computed	2026-05-18T03:32:04.651199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ff74b86450c7f181b382997374033efd37c8b6930f4bdec252ba6c06a19525f

Aliases

arxiv: 1302.6856 · arxiv_version: 1302.6856v2 · doi: 10.48550/arxiv.1302.6856 · pith_short_12: F73UXBSFBR7R · pith_short_16: F73UXBSFBR7RQGZY · pith_short_8: F73UXBSF

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/F73UXBSFBR7RQGZYFGLTOQBT57 \
  | 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: 2ff74b86450c7f181b382997374033efd37c8b6930f4bdec252ba6c06a19525f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69c1549add4eb31e672b2caaa88e82686eade3681f32b095e3cb88d7a551c3e1",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-27T14:25:54Z",
    "title_canon_sha256": "d1e2f321506c8fee73d38ffc1ded9f904a3af2319e8d5d06c6117c2378966371"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6856",
    "kind": "arxiv",
    "version": 2
  }
}