Pith Number

pith:UHKO4I7U

pith:2015:UHKO4I7UHDIPG7LOWDIKVB4LNM

not attested not anchored not stored refs pending

4-coloring ($P_6$, bull)-free graphs

Fr\'ed\'eric Maffray, Lucas Pastor

arxiv:1511.08911 v2 · 2015-11-28 · 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{UHKO4I7UHDIPG7LOWDIKVB4LNM}

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	2026-05-18T01:20:03.306276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1d4ee23f438d0f37d6eb0d0aa878b6b38b4af8fdb400e4b4c8a6738c06499c0

Aliases

arxiv: 1511.08911 · arxiv_version: 1511.08911v2 · doi: 10.48550/arxiv.1511.08911 · pith_short_12: UHKO4I7UHDIP · pith_short_16: UHKO4I7UHDIPG7LO · pith_short_8: UHKO4I7U

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/UHKO4I7UHDIPG7LOWDIKVB4LNM \
  | 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: a1d4ee23f438d0f37d6eb0d0aa878b6b38b4af8fdb400e4b4c8a6738c06499c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a229c37e3711d8e1990e532337c9f9616a805d91f8cd32d5c4e420488a202c56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-28T16:45:09Z",
    "title_canon_sha256": "5faceccea155e3347e5cebd3fe0c779ccc258d78a1b13edf9a0f0f8ef46c7d67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08911",
    "kind": "arxiv",
    "version": 2
  }
}