Pith Number

pith:PG77ABG3

pith:2025:PG77ABG3K363WNZNEKOYLC4DEH

not attested not anchored not stored refs pending

Maximum list $r$-colorable induced subgraphs in $kP_3$-free graphs

Amir Nikabadi, Andrea Munaro, Esther Galby, Paloma T. Lima

arxiv:2505.00412 v1 · 2025-05-01 · math.CO · cs.DM · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PG77ABG3K363WNZNEKOYLC4DEH}

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	2026-07-05T10:57:37.524299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79bff004db56fdbb372d229d858b8321f6c5c651ff4e8c5ebe96fd896eb950ac

Aliases

arxiv: 2505.00412 · arxiv_version: 2505.00412v1 · doi: 10.48550/arxiv.2505.00412 · pith_short_12: PG77ABG3K363 · pith_short_16: PG77ABG3K363WNZN · pith_short_8: PG77ABG3

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/PG77ABG3K363WNZNEKOYLC4DEH \
  | 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: 79bff004db56fdbb372d229d858b8321f6c5c651ff4e8c5ebe96fd896eb950ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02666425ae6f7185eb3fed0ae45e7773ef808fdb6cd2d63bfe7724221f0698d5",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-01T09:15:53Z",
    "title_canon_sha256": "e068f788614108bd32706d5ad57146a8a4f2f945fa6237dd4bced9dce103ac9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.00412",
    "kind": "arxiv",
    "version": 1
  }
}