Pith Number

pith:LB4F5MAO

pith:2025:LB4F5MAO5ROQLIJKZWJTCA5IB6

not attested not anchored not stored refs pending

Strong odd coloring in minor-closed classes

Fabian Klute, Irene Parada, Juan Pablo Pe\~na, Kolja Knauer, Miriam Goetze, Torsten Ueckerdt

arxiv:2505.02736 v1 · 2025-05-05 · 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{LB4F5MAO5ROQLIJKZWJTCA5IB6}

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.

Cited by

1 paper in Pith

Strong odd colorings in graph classes of bounded expansion

Receipt and verification

First computed	2026-07-05T10:58:42.273215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58785eb00eec5d05a12acd933103a80f8f02622593021b45e44fe0037665b399

Aliases

arxiv: 2505.02736 · arxiv_version: 2505.02736v1 · doi: 10.48550/arxiv.2505.02736 · pith_short_12: LB4F5MAO5ROQ · pith_short_16: LB4F5MAO5ROQLIJK · pith_short_8: LB4F5MAO

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/LB4F5MAO5ROQLIJKZWJTCA5IB6 \
  | 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: 58785eb00eec5d05a12acd933103a80f8f02622593021b45e44fe0037665b399

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8367389c5ac1ea76fe7e2ff11d85792a86af1fadcff441c81443f4a115b7ab61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-05T15:37:06Z",
    "title_canon_sha256": "b5404bd530ea0ed68b444c68e5fbb38fb32f2fe2d9ee87b339b4be1e9fcad6d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.02736",
    "kind": "arxiv",
    "version": 1
  }
}