Pith Number

pith:3IA7F2OK

pith:2010:3IA7F2OKCAZHT5BA5MXXUFLA7Z

not attested not anchored not stored refs pending

Asymptotic study of subcritical graph classes

\'Eric Fusy, Juanjo Ru\'e, Michael Drmota, Mihyun Kang, Veronika Kraus

arxiv:1003.4699 v2 · 2010-03-24 · 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{3IA7F2OKCAZHT5BA5MXXUFLA7Z}

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	2026-05-17T23:54:27.502555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da01f2e9ca103279f420eb2f7a1560fe57759807c003c764a3559b02285ba8b1

Aliases

arxiv: 1003.4699 · arxiv_version: 1003.4699v2 · doi: 10.48550/arxiv.1003.4699 · pith_short_12: 3IA7F2OKCAZH · pith_short_16: 3IA7F2OKCAZHT5BA · pith_short_8: 3IA7F2OK

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/3IA7F2OKCAZHT5BA5MXXUFLA7Z \
  | 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: da01f2e9ca103279f420eb2f7a1560fe57759807c003c764a3559b02285ba8b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cd0680398d194381dd8b013282b8f671a5efd0e1f2581bb5c0fad89bea2fd19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-03-24T17:21:52Z",
    "title_canon_sha256": "4266b677cb5051d85ae6297b6a8969060687338858b17664a48ffdbef863c1c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4699",
    "kind": "arxiv",
    "version": 2
  }
}