Pith Number

pith:YNCBLLOR

pith:2009:YNCBLLORFPB4LNNU6YQGHBZAK4

not attested not anchored not stored refs pending

The competition number of a graph with exactly two holes

Jung Yeun Lee, Seog-Jin Kim, Suh-Ryung Kim, Yoshio Sano

arxiv:0909.5302 v1 · 2009-09-29 · 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{YNCBLLORFPB4LNNU6YQGHBZAK4}

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	2026-05-18T04:39:50.398603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c34415add12bc3c5b5b4f62063872057302f7cd20a0a6524958fa66dd627fb36

Aliases

arxiv: 0909.5302 · arxiv_version: 0909.5302v1 · doi: 10.48550/arxiv.0909.5302 · pith_short_12: YNCBLLORFPB4 · pith_short_16: YNCBLLORFPB4LNNU · pith_short_8: YNCBLLOR

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/YNCBLLORFPB4LNNU6YQGHBZAK4 \
  | 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: c34415add12bc3c5b5b4f62063872057302f7cd20a0a6524958fa66dd627fb36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ddc37d1258b46009026f0a4ceaa6a5045e80412dd34cc0748e40236bb557231",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-09-29T11:30:14Z",
    "title_canon_sha256": "f203eb4740b6385ff96cb1d25091ffaaa8bbb3ce89ec5473503a1a3e13189add"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.5302",
    "kind": "arxiv",
    "version": 1
  }
}