Pith Number

pith:OQJIJGVG

pith:2019:OQJIJGVGQKRYDIEALHSDVYO4VK

not attested not anchored not stored refs pending

Breaking the degeneracy barrier for coloring graphs with no $K_t$ minor

Luke Postle, Sergey Norin, Zi-Xia Song

arxiv:1910.09378 v2 · 2019-10-21 · 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{OQJIJGVGQKRYDIEALHSDVYO4VK}

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	2026-07-05T01:06:09.001797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7412849aa682a381a08059e43ae1dcaaa0bbeb98f725fea3d44f72be18376eaf

Aliases

arxiv: 1910.09378 · arxiv_version: 1910.09378v2 · doi: 10.48550/arxiv.1910.09378 · pith_short_12: OQJIJGVGQKRY · pith_short_16: OQJIJGVGQKRYDIEA · pith_short_8: OQJIJGVG

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/OQJIJGVGQKRYDIEALHSDVYO4VK \
  | 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: 7412849aa682a381a08059e43ae1dcaaa0bbeb98f725fea3d44f72be18376eaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4de0516b4b98eedf8da560da7d673c42fe2eb138109548c1c9a88afb3f856fa8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-10-21T13:49:04Z",
    "title_canon_sha256": "8ccd3ac425d084257d1cff94748896fe3478556fc9d808acf4e2665f6209e86e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.09378",
    "kind": "arxiv",
    "version": 2
  }
}