Pith Number

pith:4F6AJWQV

pith:2008:4F6AJWQV5YAMKIGMS7PLKPPYXT

not attested not anchored not stored refs pending

A Complete Grammar for Decomposing a Family of Graphs into 3-connected Components

Bilyana Shoilekova, Eric Fusy, Guillaume Chapuy, Mihyun Kang

arxiv:0808.1138 v2 · 2008-08-07 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4F6AJWQV5YAMKIGMS7PLKPPYXT}

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	2026-05-18T03:57:39.141784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e17c04da15ee00c520cc97deb53df8bcdb0df25b9f27da2ca24d142fb21bef4e

Aliases

arxiv: 0808.1138 · arxiv_version: 0808.1138v2 · doi: 10.48550/arxiv.0808.1138 · pith_short_12: 4F6AJWQV5YAM · pith_short_16: 4F6AJWQV5YAMKIGM · pith_short_8: 4F6AJWQV

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/4F6AJWQV5YAMKIGMS7PLKPPYXT \
  | 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: e17c04da15ee00c520cc97deb53df8bcdb0df25b9f27da2ca24d142fb21bef4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "375ca2b4b7352d3e82c30d7354f98e509e09155baa6a63901e93c8795715e06d",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-08-07T23:37:55Z",
    "title_canon_sha256": "764f1369a6f75465374d85aab554937706545e572d1e12cb9e225add2e391f59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.1138",
    "kind": "arxiv",
    "version": 2
  }
}