Pith Number

pith:YP4IHDL6

pith:2011:YP4IHDL65OMM7CF72I72CSZ7CG

not attested not anchored not stored refs pending

Cliques in Odd-Minor-Free Graphs

David R. Wood, Ken-ichi Kawarabayashi

arxiv:1108.2949 v2 · 2011-08-15 · 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{YP4IHDL65OMM7CF72I72CSZ7CG}

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	2026-05-18T04:02:52.644175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3f8838d7eeb98cf88bfd23fa14b3f1191a7cb0099f68d558aff94fbf6ca4fdb

Aliases

arxiv: 1108.2949 · arxiv_version: 1108.2949v2 · doi: 10.48550/arxiv.1108.2949 · pith_short_12: YP4IHDL65OMM · pith_short_16: YP4IHDL65OMM7CF7 · pith_short_8: YP4IHDL6

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/YP4IHDL65OMM7CF72I72CSZ7CG \
  | 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: c3f8838d7eeb98cf88bfd23fa14b3f1191a7cb0099f68d558aff94fbf6ca4fdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b4586c133947fe88cbda675821cad1c15fbb6fc78ead665cee1dcecdde7a06a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-15T07:46:15Z",
    "title_canon_sha256": "e4e0aabc0bb8bb877d06704afe3ff892e0dd63d25a6afe5c4ca071b72b78938e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2949",
    "kind": "arxiv",
    "version": 2
  }
}