Pith Number

pith:FKLSJMFO

pith:2013:FKLSJMFO4J77GJHJ5CDKEVQPKS

not attested not anchored not stored refs pending

Excluded vertex-minors for graphs of linear rank-width at most k

Jisu Jeong, O-joung Kwon, Sang-il Oum

arxiv:1311.2618 v2 · 2013-11-11 · 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{FKLSJMFO4J77GJHJ5CDKEVQPKS}

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	2026-05-18T02:43:16.442634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a9724b0aee27ff324e9e886a2560f54bdd869811f0a0bca9865088ba776002f

Aliases

arxiv: 1311.2618 · arxiv_version: 1311.2618v2 · doi: 10.48550/arxiv.1311.2618 · pith_short_12: FKLSJMFO4J77 · pith_short_16: FKLSJMFO4J77GJHJ · pith_short_8: FKLSJMFO

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/FKLSJMFO4J77GJHJ5CDKEVQPKS \
  | 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: 2a9724b0aee27ff324e9e886a2560f54bdd869811f0a0bca9865088ba776002f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6542099ef8b591062655134ff00b5537dd876229e66296c162ee6716db8ee6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-11-11T21:38:15Z",
    "title_canon_sha256": "5bc900bf6611074bd202bfae401801ccd20fb16ddddfb00d19435a9bf90d85b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2618",
    "kind": "arxiv",
    "version": 2
  }
}