Pith Number

pith:4ND32BOD

pith:2025:4ND32BODZT5U43LBPTDGFYVX7S

not attested not anchored not stored refs pending

The typical structure of dense claw-free graphs

Sam van der Poel, Will Perkins

arxiv:2501.17816 v1 · 2025-01-29 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ND32BODZT5U43LBPTDGFYVX7S}

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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.

Cited by

1 paper in Pith

Excluding an induced star in dense random graphs

Receipt and verification

First computed	2026-07-05T10:06:58.543363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e347bd05c3ccfb4e6d617cc662e2b7fc9dbb6c8cb6010208f9047268d303815e

Aliases

arxiv: 2501.17816 · arxiv_version: 2501.17816v1 · doi: 10.48550/arxiv.2501.17816 · pith_short_12: 4ND32BODZT5U · pith_short_16: 4ND32BODZT5U43LB · pith_short_8: 4ND32BOD

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/4ND32BODZT5U43LBPTDGFYVX7S \
  | 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: e347bd05c3ccfb4e6d617cc662e2b7fc9dbb6c8cb6010208f9047268d303815e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccd6ee4cb215acd076074cba244f18fb703d8d3429f6c93f8bed2cc37c648954",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-29T18:09:13Z",
    "title_canon_sha256": "98c0a076921136384de20c7a50fa19db4549823fe71def21342e97731861b37f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.17816",
    "kind": "arxiv",
    "version": 1
  }
}