Pith Number

pith:WCA7DFC4

pith:2014:WCA7DFC4ILONTTKLJLY2XBR3B4

not attested not anchored not stored refs pending

Monochromatic cycle partitions of graphs with large minimum degree

Louis DeBiasio, Luke Nelsen

arxiv:1409.1874 v2 · 2014-09-05 · 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{WCA7DFC4ILONTTKLJLY2XBR3B4}

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	2026-05-18T01:06:29.360236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b081f1945c42dcd9cd4b4af1ab863b0f1a9b66558d2f7b571e0e4fe2385d14ed

Aliases

arxiv: 1409.1874 · arxiv_version: 1409.1874v2 · doi: 10.48550/arxiv.1409.1874 · pith_short_12: WCA7DFC4ILON · pith_short_16: WCA7DFC4ILONTTKL · pith_short_8: WCA7DFC4

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/WCA7DFC4ILONTTKLJLY2XBR3B4 \
  | 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: b081f1945c42dcd9cd4b4af1ab863b0f1a9b66558d2f7b571e0e4fe2385d14ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6db94a26457c397bcc257a63e633a5fa1842a3eedad5e802d9c38b1fd74665ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-05T17:07:07Z",
    "title_canon_sha256": "2e298f36b1f54564d189c7e440bb9bf9184ea735a677a40a6850c714bbcd2c88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1874",
    "kind": "arxiv",
    "version": 2
  }
}