Pith Number

pith:O6N32AGG

pith:2011:O6N32AGGFIEBDJ5LTKZ22EY2NV

not attested not anchored not stored refs pending

The competition number of a graph in which any two holes share at most one edge

Jung Yeun Lee, Suh-Ryung Kim, Yoshio Sano

arxiv:1102.5718 v1 · 2011-02-28 · 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{O6N32AGGFIEBDJ5LTKZ22EY2NV}

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	2026-05-18T04:27:46.161584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

779bbd00c62a0811a7ab9ab3ad131a6d4696c6b9d98df94445d140eea0cba4cc

Aliases

arxiv: 1102.5718 · arxiv_version: 1102.5718v1 · doi: 10.48550/arxiv.1102.5718 · pith_short_12: O6N32AGGFIEB · pith_short_16: O6N32AGGFIEBDJ5L · pith_short_8: O6N32AGG

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/O6N32AGGFIEBDJ5LTKZ22EY2NV \
  | 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: 779bbd00c62a0811a7ab9ab3ad131a6d4696c6b9d98df94445d140eea0cba4cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abb2872ecd2b2f5a6472572222e490c1c9fec77558a7f64776e18c028d5e35d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-02-28T17:38:37Z",
    "title_canon_sha256": "bd1915502561782a49972273968e00ef162ade60ebd38216a0596d1184a7896b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5718",
    "kind": "arxiv",
    "version": 1
  }
}