Pith Number

pith:GFN5CUJT

pith:2010:GFN5CUJT6CKSLCRW2E4SU3IK7Y

not attested not anchored not stored refs pending

Vertex decompositions of two-dimensional complexes and graphs

Michal Adamaszek

arxiv:1007.4019 v2 · 2010-07-22 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GFN5CUJT6CKSLCRW2E4SU3IK7Y}

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.

Receipt and verification

First computed	2026-05-18T04:28:20.130448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

315bd15133f095258a36d1392a6d0afe38476f923aa2c19fd4a0e3970f74e1a0

Aliases

arxiv: 1007.4019 · arxiv_version: 1007.4019v2 · doi: 10.48550/arxiv.1007.4019 · pith_short_12: GFN5CUJT6CKS · pith_short_16: GFN5CUJT6CKSLCRW · pith_short_8: GFN5CUJT

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/GFN5CUJT6CKSLCRW2E4SU3IK7Y \
  | 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: 315bd15133f095258a36d1392a6d0afe38476f923aa2c19fd4a0e3970f74e1a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce42cc4101d9d45b0f3dc388f991b3bc80bf852f4c43202fbcda5bdb3f1394d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-07-22T22:24:44Z",
    "title_canon_sha256": "fc43abfb45a032c7cff32857ebd0fc599d92a240b574ab4cb55ee403fd3d7c31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4019",
    "kind": "arxiv",
    "version": 2
  }
}