Pith Number

pith:HRMUDABC

pith:2026:HRMUDABC22I3EWE5LDV54JN4BN

not attested not anchored not stored refs pending

A Domatic Analogue of $\chi$-Bounded Graph Classes and the Gy\'{a}rf\'{a}s-Sumner Conjecture

Fran\c{c}ois Pirot, Hoang La, Hossein Zaredehabadi, Quentin Chuet, Selma Djelloul

arxiv:2606.02030 v1 · 2026-06-01 · 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{HRMUDABC22I3EWE5LDV54JN4BN}

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	2026-06-02T02:05:03.991093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c59418022d691b2589d58ebde25bc0b62cdd940e2ff2f651a70217ee3c91811

Aliases

arxiv: 2606.02030 · arxiv_version: 2606.02030v1 · doi: 10.48550/arxiv.2606.02030 · pith_short_12: HRMUDABC22I3 · pith_short_16: HRMUDABC22I3EWE5 · pith_short_8: HRMUDABC

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/HRMUDABC22I3EWE5LDV54JN4BN \
  | 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: 3c59418022d691b2589d58ebde25bc0b62cdd940e2ff2f651a70217ee3c91811

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d31955b15293949d68b688bd8b44259b2fbfa8a52702a4801676a3eea67a5b7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-01T10:18:06Z",
    "title_canon_sha256": "2ef415b1c6e298ac37bc63a54c0430a55c90e16876249031a45b43ceebfbd63e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02030",
    "kind": "arxiv",
    "version": 1
  }
}