Pith Number

pith:IVO5GEZY

pith:2023:IVO5GEZYIQLE4FJKLYVXEO4WSL

not attested not anchored not stored refs pending

The extremal number of cycles with all diagonals

Abhishek Methuku, Benny Sudakov, Domagoj Brada\v{c}

arxiv:2308.16163 v1 · 2023-08-30 · 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{IVO5GEZYIQLE4FJKLYVXEO4WSL}

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	2026-07-05T06:46:19.089875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

455dd3133844164e152a5e2b723b9692c36a17e22b7489cc316501b0b77ee087

Aliases

arxiv: 2308.16163 · arxiv_version: 2308.16163v1 · doi: 10.48550/arxiv.2308.16163 · pith_short_12: IVO5GEZYIQLE · pith_short_16: IVO5GEZYIQLE4FJK · pith_short_8: IVO5GEZY

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/IVO5GEZYIQLE4FJKLYVXEO4WSL \
  | 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: 455dd3133844164e152a5e2b723b9692c36a17e22b7489cc316501b0b77ee087

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bd005f83fd29f9c5e688fa2d99bcc4525474ca701f57ca42b3a59a3836054ae",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-08-30T17:32:57Z",
    "title_canon_sha256": "483229bcea40e6d4874a74a6affaec19804a2279dc2a19d3d6cdf4afe660bfa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.16163",
    "kind": "arxiv",
    "version": 1
  }
}