Pith Number

pith:GLDGEGQS

pith:2023:GLDGEGQS7QEFRZASOWL2NZYFBO

not attested not anchored not stored refs pending

On the chromatic number of some ($P_3\cup P_2$)-free graphs

Di Wu, Jinfeng Li, Rui Li

arxiv:2308.15248 v1 · 2023-08-29 · 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{GLDGEGQS7QEFRZASOWL2NZYFBO}

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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

Coloring of some $(P_2\cup P_4)$-free graphs

Receipt and verification

First computed	2026-07-05T06:45:45.615680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32c6621a12fc0858e4127597a6e7050b838d1eae29f3131493d96e92438de968

Aliases

arxiv: 2308.15248 · arxiv_version: 2308.15248v1 · doi: 10.48550/arxiv.2308.15248 · pith_short_12: GLDGEGQS7QEF · pith_short_16: GLDGEGQS7QEFRZAS · pith_short_8: GLDGEGQS

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/GLDGEGQS7QEFRZASOWL2NZYFBO \
  | 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: 32c6621a12fc0858e4127597a6e7050b838d1eae29f3131493d96e92438de968

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e52229aa619b39149b92f949afae3ab4b0fc19a2bbeb36508268b3634e05c0af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-08-29T12:14:06Z",
    "title_canon_sha256": "14890f42944ea250abc11e0b018d0dcda578480939bba022c3b91229335c4da5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.15248",
    "kind": "arxiv",
    "version": 1
  }
}