Pith Number

pith:RJVFYCHS

pith:2009:RJVFYCHS6MOLXSPXYLXJHJ554G

not attested not anchored not stored refs pending

Characterisations and Examples of Graph Classes with Bounded Expansion

David R. Wood, Jaroslav Ne\v{s}et\v{r}il, Patrice Ossona de Mendez

arxiv:0902.3265 v2 · 2009-02-19 · 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{RJVFYCHS6MOLXSPXYLXJHJ554G}

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	2026-05-18T03:55:23.790030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a6a5c08f2f31cbbc9f7c2ee93a7bde1a44a4d93b6bf4b4d3073b83714e9cd8e

Aliases

arxiv: 0902.3265 · arxiv_version: 0902.3265v2 · doi: 10.48550/arxiv.0902.3265 · pith_short_12: RJVFYCHS6MOL · pith_short_16: RJVFYCHS6MOLXSPX · pith_short_8: RJVFYCHS

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/RJVFYCHS6MOLXSPXYLXJHJ554G \
  | 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: 8a6a5c08f2f31cbbc9f7c2ee93a7bde1a44a4d93b6bf4b4d3073b83714e9cd8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19ef759ee0bcb4f629dab6aa6a6f50877a8af4c01cca7e15fe29c1a2093376f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-02-19T07:33:04Z",
    "title_canon_sha256": "8f8a404e7a26fe2d7c36fd704b7e099fda7d9f7d138ec40cdf3f3369d2442419"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.3265",
    "kind": "arxiv",
    "version": 2
  }
}