Pith Number

pith:CRSGINJW

pith:2025:CRSGINJW7DZ3CGQHKYTHD65VGH

not attested not anchored not stored refs pending

On the distinguishing chromatic number in hereditary graph classes

Christoph Brause, Ingo Schiemeyer, Monika Pil\'sniak, Rafa{\l} Kalinowski

arxiv:2505.17193 v1 · 2025-05-22 · 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{CRSGINJW7DZ3CGQHKYTHD65VGH}

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

On $k$-colorability of $(bull, H)$-free graphs

Receipt and verification

First computed	2026-07-05T11:07:48.472617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1464643536f8f3b11a07562671fbb531ee4696bacd9be3805efc67b28eb440c1

Aliases

arxiv: 2505.17193 · arxiv_version: 2505.17193v1 · doi: 10.48550/arxiv.2505.17193 · pith_short_12: CRSGINJW7DZ3 · pith_short_16: CRSGINJW7DZ3CGQH · pith_short_8: CRSGINJW

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/CRSGINJW7DZ3CGQHKYTHD65VGH \
  | 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: 1464643536f8f3b11a07562671fbb531ee4696bacd9be3805efc67b28eb440c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6582dbe9c305d38dccbce465d1aefe75f0c1228ece27dc435970b8250c95ea62",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-22T18:03:55Z",
    "title_canon_sha256": "a69f9970c575789f9e1c8ed27a6057b60ca04cfe8d408b9a54116f23d68ffa8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.17193",
    "kind": "arxiv",
    "version": 1
  }
}