Pith Number

pith:OIGSRSIR

pith:2012:OIGSRSIRBYRWTX65CHY4WD3OZU

not attested not anchored not stored refs pending

Closed graphs are proper interval graphs

Giancarlo Rinaldo, Marilena Crupi

arxiv:1211.5874 v1 · 2012-11-26 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OIGSRSIRBYRWTX65CHY4WD3OZU}

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	2026-05-18T03:40:01.732391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

720d28c9110e2369dfdd11f1cb0f6ecd0c331fc7b6dce97fe0db990a59b2d51b

Aliases

arxiv: 1211.5874 · arxiv_version: 1211.5874v1 · doi: 10.48550/arxiv.1211.5874 · pith_short_12: OIGSRSIRBYRW · pith_short_16: OIGSRSIRBYRWTX65 · pith_short_8: OIGSRSIR

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/OIGSRSIRBYRWTX65CHY4WD3OZU \
  | 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: 720d28c9110e2369dfdd11f1cb0f6ecd0c331fc7b6dce97fe0db990a59b2d51b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f04dea780fa9bddeb307d9c06d10ad7432d0543b5e0c9e06cf596fc8b5f21c96",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-26T07:53:41Z",
    "title_canon_sha256": "1b9aa01c27665f6f774d5712a6d7b93eadebd5881ee3741d8bd4a3e8cbdb024d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5874",
    "kind": "arxiv",
    "version": 1
  }
}