Pith Number

pith:CXTXXOBG

pith:2009:CXTXXOBG77X2G7KZDIUSLKFIJO

not attested not anchored not stored refs pending

Complete Minors, Independent Sets, and Chordal Graphs

Hehui Wu, John Lenz, Jozsef Balogh

arxiv:0907.2421 v2 · 2009-07-14 · 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{CXTXXOBG77X2G7KZDIUSLKFIJO}

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	2026-05-18T04:11:07.456393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15e77bb826ffefa37d591a2925a8a84bb26b7f1b5392c4cce02a9ff015e86ee4

Aliases

arxiv: 0907.2421 · arxiv_version: 0907.2421v2 · doi: 10.48550/arxiv.0907.2421 · pith_short_12: CXTXXOBG77X2 · pith_short_16: CXTXXOBG77X2G7KZ · pith_short_8: CXTXXOBG

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/CXTXXOBG77X2G7KZDIUSLKFIJO \
  | 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: 15e77bb826ffefa37d591a2925a8a84bb26b7f1b5392c4cce02a9ff015e86ee4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f14695573ef686d34f2bdc382935aea7273662e8b7072a83861a9d4620692df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-07-14T18:17:25Z",
    "title_canon_sha256": "6fec8069943cb87e05e82848c89b9d889212281334028ba7d8853056cdf0f968"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2421",
    "kind": "arxiv",
    "version": 2
  }
}