Pith Number

pith:3PFPBMAO

pith:2014:3PFPBMAO6ZNPEYUK4IA3DNQLB6

not attested not anchored not stored refs pending

Clique-Relaxed Competitive Graph Coloring

Charles Dunn, Davis Shurbert, Jennifer Nordstrom, Michel Alexis

arxiv:1412.3084 v1 · 2014-12-09 · math.CO · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3PFPBMAO6ZNPEYUK4IA3DNQLB6}

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	2026-05-18T02:31:38.715646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbcaf0b00ef65af2628ae201b1b60b0f8eca39c84e5eea1403fd800d21655670

Aliases

arxiv: 1412.3084 · arxiv_version: 1412.3084v1 · doi: 10.48550/arxiv.1412.3084 · pith_short_12: 3PFPBMAO6ZNP · pith_short_16: 3PFPBMAO6ZNPEYUK · pith_short_8: 3PFPBMAO

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/3PFPBMAO6ZNPEYUK4IA3DNQLB6 \
  | 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: dbcaf0b00ef65af2628ae201b1b60b0f8eca39c84e5eea1403fd800d21655670

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bed1e8e1a90a29e5f8cbb6394b2d15d9c064ffd9e676e108312a65725ba1c41a",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-09T20:10:58Z",
    "title_canon_sha256": "8a10a6d6491c53c6ed4539062a292c87e4e0cbc1755d6f79b90e308e0f9d1d0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3084",
    "kind": "arxiv",
    "version": 1
  }
}