Pith Number

pith:S7MTOK5Y

pith:2014:S7MTOK5YDB45EGENGLZCGQ7QXV

not attested not anchored not stored refs pending

Integer round-up property for the chromatic number of some h-perfect graphs

Yohann Benchetrit

arxiv:1406.0757 v1 · 2014-06-03 · math.CO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S7MTOK5YDB45EGENGLZCGQ7QXV}

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	2026-05-18T02:50:32.897102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97d9372bb81879d2188d32f22343f0bd7f0a24eceb857ff252e38e2a9e7cb368

Aliases

arxiv: 1406.0757 · arxiv_version: 1406.0757v1 · doi: 10.48550/arxiv.1406.0757 · pith_short_12: S7MTOK5YDB45 · pith_short_16: S7MTOK5YDB45EGEN · pith_short_8: S7MTOK5Y

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/S7MTOK5YDB45EGENGLZCGQ7QXV \
  | 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: 97d9372bb81879d2188d32f22343f0bd7f0a24eceb857ff252e38e2a9e7cb368

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca078b68265c0a77f4fa0d2ea0b21ac6baf04632f3114fba170c85b386642ea8",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-03T15:42:11Z",
    "title_canon_sha256": "08514a20b4591e55f66746e735f12661eec10f2bddadd1de52e0e4f5ce2f7722"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.0757",
    "kind": "arxiv",
    "version": 1
  }
}