Pith Number

pith:G5DYPYIO

pith:2026:G5DYPYIODL4645NNYM3URLSDTP

not attested not anchored not stored refs pending

Vertex-critical $(P_5,\text{chair})$-free and $(P_5,\text{cricket})$-free graphs

Jorik Jooken

arxiv:2605.28537 v1 · 2026-05-27 · 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{G5DYPYIODL4645NNYM3URLSDTP}

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	2026-05-28T02:04:55.763520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

374787e10e1af9ee75adc33748ae439beb2038fd0204e9003a17aba274466e5c

Aliases

arxiv: 2605.28537 · arxiv_version: 2605.28537v1 · doi: 10.48550/arxiv.2605.28537 · pith_short_12: G5DYPYIODL46 · pith_short_16: G5DYPYIODL4645NN · pith_short_8: G5DYPYIO

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/G5DYPYIODL4645NNYM3URLSDTP \
  | 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: 374787e10e1af9ee75adc33748ae439beb2038fd0204e9003a17aba274466e5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e216a5e5a3d1024ae8ee2dd8c269d5d259b376e510cc6aac4ba100596e4a609a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-27T14:32:10Z",
    "title_canon_sha256": "78d123e4ed97ca48171baaacf92fafc39100373bd4a22f56f338b29613eef691"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28537",
    "kind": "arxiv",
    "version": 1
  }
}