Pith Number

pith:KGP7H6IA

pith:2013:KGP7H6IAYOBLWV3TKVLAGNJ3EC

not attested not anchored not stored refs pending

Canonical tree-decompositions of finite graphs I. Existence and algorithms

Fabian Hundertmark, Johannes Carmesin, Matthias Hamann, Reinhard Diestel

arxiv:1305.4668 v3 · 2013-05-20 · 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{KGP7H6IAYOBLWV3TKVLAGNJ3EC}

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	2026-05-18T02:53:27.038334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

519ff3f900c382bb5773555603353b20b1ffefb43b474ee92124ce38f962d98f

Aliases

arxiv: 1305.4668 · arxiv_version: 1305.4668v3 · doi: 10.48550/arxiv.1305.4668 · pith_short_12: KGP7H6IAYOBL · pith_short_16: KGP7H6IAYOBLWV3T · pith_short_8: KGP7H6IA

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/KGP7H6IAYOBLWV3TKVLAGNJ3EC \
  | 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: 519ff3f900c382bb5773555603353b20b1ffefb43b474ee92124ce38f962d98f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "532ec9add6977140fed0d2eadd8ed6a52e6e6230532f616e8c25110cd9d123f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-20T22:26:38Z",
    "title_canon_sha256": "93c2447969e13653dcb9b6c0a8f02e631b151408a5f4e5f9dfa4650105237adc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4668",
    "kind": "arxiv",
    "version": 3
  }
}