Pith Number

pith:FPXFQZSR

pith:2018:FPXFQZSRHD6XWNZMXUYLI733RW

not attested not anchored not stored refs pending

List Coloring a Cartesian Product with a Complete Bipartite Factor

Hemanshu Kaul, Jeffrey A. Mudrock

arxiv:1811.02420 v1 · 2018-11-02 · 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{FPXFQZSRHD6XWNZMXUYLI733RW}

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	2026-05-18T00:01:24.337425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bee58665138fd7b372cbd30b47f7b8da7f3099d5df4dde2ec82572a13639559

Aliases

arxiv: 1811.02420 · arxiv_version: 1811.02420v1 · doi: 10.48550/arxiv.1811.02420 · pith_short_12: FPXFQZSRHD6X · pith_short_16: FPXFQZSRHD6XWNZM · pith_short_8: FPXFQZSR

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/FPXFQZSRHD6XWNZMXUYLI733RW \
  | 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: 2bee58665138fd7b372cbd30b47f7b8da7f3099d5df4dde2ec82572a13639559

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06bc24bb1f6eba6de8c5db8e2cc853ad49d754072f626bed1b2f58f257b56753",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-02T18:30:42Z",
    "title_canon_sha256": "1fdeeddc64917d52eada294c89977af108471b950fa92070858e5771847fc4ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.02420",
    "kind": "arxiv",
    "version": 1
  }
}