Pith Number

pith:O7SIEAIN

pith:2018:O7SIEAINEQ4H2CU2FX7VHDG2I4

not attested not anchored not stored refs pending

List-three-coloring graphs with no induced $P_6+rP_3$

Maria Chudnovsky, Mingxian Zhong, Shenwei Huang, Sophie Spirkl

arxiv:1806.11196 v2 · 2018-06-28 · 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{O7SIEAINEQ4H2CU2FX7VHDG2I4}

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	2026-05-18T00:11:56.424608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77e482010d24387d0a9a2dff538cda473f716374a3c3eefd2f6721abcef1f3ff

Aliases

arxiv: 1806.11196 · arxiv_version: 1806.11196v2 · doi: 10.48550/arxiv.1806.11196 · pith_short_12: O7SIEAINEQ4H · pith_short_16: O7SIEAINEQ4H2CU2 · pith_short_8: O7SIEAIN

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/O7SIEAINEQ4H2CU2FX7VHDG2I4 \
  | 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: 77e482010d24387d0a9a2dff538cda473f716374a3c3eefd2f6721abcef1f3ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "808f2a94b12f7ada1a29b61b93ab5e952912738c9bdf0ae2dc465a4383c6b021",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-28T21:17:04Z",
    "title_canon_sha256": "b01dc70ecce22e2ef547cf12b1c253ec32187e6392643e8bca13ac6c34aa706c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.11196",
    "kind": "arxiv",
    "version": 2
  }
}