Pith Number

pith:AOJRL652

pith:2017:AOJRL652RRCNFGZITZCZG6ATUU

not attested not anchored not stored refs pending

An exact upper bound on the size of minimal clique covers

Michael Soltys, Ryan McIntyre

arxiv:1705.06326 v1 · 2017-05-17 · cs.DM · 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{AOJRL652RRCNFGZITZCZG6ATUU}

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	2026-05-18T00:44:15.003158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

039315fbba8c44d29b289e45937813a516b618a205fce8ab2779f9dfc853f158

Aliases

arxiv: 1705.06326 · arxiv_version: 1705.06326v1 · doi: 10.48550/arxiv.1705.06326 · pith_short_12: AOJRL652RRCN · pith_short_16: AOJRL652RRCNFGZI · pith_short_8: AOJRL652

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/AOJRL652RRCNFGZITZCZG6ATUU \
  | 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: 039315fbba8c44d29b289e45937813a516b618a205fce8ab2779f9dfc853f158

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74a6836d10a2316968de1edd6c9acc7b667c0c4be00c9d16d0c079db83603489",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2017-05-17T19:44:39Z",
    "title_canon_sha256": "b1375551adbf5173420366f8a3a5bdcb806cd899290e95cd60743420af97bc78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06326",
    "kind": "arxiv",
    "version": 1
  }
}