Pith Number

pith:ZKY3DNSD

pith:2017:ZKY3DNSDHQL7CH5GAQSINJGW5U

not attested not anchored not stored refs pending

Coloring ($P_5$, bull)-free graphs

Fr\'ed\'eric Maffray

arxiv:1707.08918 v1 · 2017-07-27 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZKY3DNSDHQL7CH5GAQSINJGW5U}

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	2026-05-18T00:39:19.104222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cab1b1b6433c17f11fa6042486a4d6ed38c980887a4004f4e6a50f5efb7e11b0

Aliases

arxiv: 1707.08918 · arxiv_version: 1707.08918v1 · doi: 10.48550/arxiv.1707.08918 · pith_short_12: ZKY3DNSDHQL7 · pith_short_16: ZKY3DNSDHQL7CH5G · pith_short_8: ZKY3DNSD

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/ZKY3DNSDHQL7CH5GAQSINJGW5U \
  | 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: cab1b1b6433c17f11fa6042486a4d6ed38c980887a4004f4e6a50f5efb7e11b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c26d2abe98bf58c093f66014a951314ba7eb5cf2343645f8c23194fcb1eafcae",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-27T15:58:42Z",
    "title_canon_sha256": "b64a2319e3af85988589083f7a205425d1654353219b2e684d1bd2e11e072eb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08918",
    "kind": "arxiv",
    "version": 1
  }
}