Pith Number

pith:SN7ZOWA2

pith:2018:SN7ZOWA2EAAI46NG2ARFPZWTFH

not attested not anchored not stored refs pending

An Optimal $\chi$-Bound for ($P_6$, diamond)-Free Graphs

Kathie Cameron, Owen Merkel, Shenwei Huang

arxiv:1809.00739 v1 · 2018-09-03 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SN7ZOWA2EAAI46NG2ARFPZWTFH}

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

Structural domination and coloring of some ($P_7, C_7$)-free graphs

Receipt and verification

First computed	2026-05-18T00:06:32.609907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

937f97581a20008e79a6d02257e6d329cdef7399fcd8b94ae7759116579145cb

Aliases

arxiv: 1809.00739 · arxiv_version: 1809.00739v1 · doi: 10.48550/arxiv.1809.00739 · pith_short_12: SN7ZOWA2EAAI · pith_short_16: SN7ZOWA2EAAI46NG · pith_short_8: SN7ZOWA2

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/SN7ZOWA2EAAI46NG2ARFPZWTFH \
  | 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: 937f97581a20008e79a6d02257e6d329cdef7399fcd8b94ae7759116579145cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d64dffe2033e7d9d46c4e3ceccec3153a256e6e591d2dbe8be9f25ea50c2d3af",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-03T23:01:01Z",
    "title_canon_sha256": "09a376920125204298544947a099bf766f67eed5a6114a5dd00b967fd14cba55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.00739",
    "kind": "arxiv",
    "version": 1
  }
}