Pith Number

pith:DFOIZQ3K

pith:2024:DFOIZQ3KJBRJG6D36VUNA4OCFU

not attested not anchored not stored refs pending

On strong odd colorings of graphs

Mirko Petru\v{s}evski, Riste \v{S}krekovski, Yair Caro, Zsolt Tuza

arxiv:2410.02336 v1 · 2024-10-03 · math.CO

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DFOIZQ3KJBRJG6D36VUNA4OCFU}

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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

Strong odd colorings in graph classes of bounded expansion

Receipt and verification

First computed	2026-07-05T09:15:19.449180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

195c8cc36a486293787bf568d071c22d00a49ecdbbae32fa2fadf67b75bef507

Aliases

arxiv: 2410.02336 · arxiv_version: 2410.02336v1 · doi: 10.48550/arxiv.2410.02336 · pith_short_12: DFOIZQ3KJBRJ · pith_short_16: DFOIZQ3KJBRJG6D3 · pith_short_8: DFOIZQ3K

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/DFOIZQ3KJBRJG6D36VUNA4OCFU \
  | 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: 195c8cc36a486293787bf568d071c22d00a49ecdbbae32fa2fadf67b75bef507

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14ad220945a36bad8ccbd7cb990d6f1507cc2b74d80f503d436e4a0a8b11f9ab",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-10-03T09:44:54Z",
    "title_canon_sha256": "123a089c39f7ab7bec516238c4e5bd0198f9969f5ea8bb6f4de5f0295485017f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.02336",
    "kind": "arxiv",
    "version": 1
  }
}