Pith Number

pith:JJS6NBGN

pith:2026:JJS6NBGN3GSKMAXNIL6ZICKVYT

not attested not anchored not stored refs pending

Strong majority colorings of graphs

Mariusz Wo\'zniak, Mateusz Kamyczura, Monika Pil\'sniak, Rafa{\l} Kalinowski

arxiv:2605.23828 v1 · 2026-05-22 · 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{JJS6NBGN3GSKMAXNIL6ZICKVYT}

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	2026-05-25T02:02:34.403336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a65e684cdd9a4a602ed42fd940955c4f866b59bb083b661a3390c11b820e807

Aliases

arxiv: 2605.23828 · arxiv_version: 2605.23828v1 · doi: 10.48550/arxiv.2605.23828 · pith_short_12: JJS6NBGN3GSK · pith_short_16: JJS6NBGN3GSKMAXN · pith_short_8: JJS6NBGN

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/JJS6NBGN3GSKMAXNIL6ZICKVYT \
  | 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: 4a65e684cdd9a4a602ed42fd940955c4f866b59bb083b661a3390c11b820e807

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ffc100426d08ded447b93b8813e5f83164ffe14ca9e704208f4c81f22fb4798",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-22T16:33:39Z",
    "title_canon_sha256": "823dd4a0504ea7e83e9cb4d2a730f1abee34d54a03afc647c6c01f28dd1644e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23828",
    "kind": "arxiv",
    "version": 1
  }
}