Pith Number

pith:B2AI25UE

pith:2018:B2AI25UEE7U5JERVE2FHYO726S

not attested not anchored not stored refs pending

Classes of graphs with no long cycle as a vertex-minor are polynomially $\chi$-bounded

O-joung Kwon, Ringi Kim, Sang-il Oum, Vaidy Sivaraman

arxiv:1809.04278 v3 · 2018-09-12 · 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{B2AI25UEE7U5JERVE2FHYO726S}

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	2026-05-17T23:43:23.674448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e808d768427e9d49235268a7c3bfaf4855a536a6143fe10f28bfbbd91cd86be

Aliases

arxiv: 1809.04278 · arxiv_version: 1809.04278v3 · doi: 10.48550/arxiv.1809.04278 · pith_short_12: B2AI25UEE7U5 · pith_short_16: B2AI25UEE7U5JERV · pith_short_8: B2AI25UE

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/B2AI25UEE7U5JERVE2FHYO726S \
  | 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: 0e808d768427e9d49235268a7c3bfaf4855a536a6143fe10f28bfbbd91cd86be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58521329dd1612a6d9ef42f0c32c29417ac1f8586f727615b130e1ddfd4d096e",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-12T07:04:53Z",
    "title_canon_sha256": "0cbd89a13327edec52b203e07c93ba34edea00da918f677c95a779a2a026704c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04278",
    "kind": "arxiv",
    "version": 3
  }
}