Pith Number

pith:6ZZRBF7J

pith:2018:6ZZRBF7JDQZZAFZ7TT63DYFDBZ

not attested not anchored not stored refs pending

Clique-factors in sparse pseudorandom graphs

Jie Han, Patrick Morris, Yoshiharu Kohayakawa, Yury Person

arxiv:1806.01676 v1 · 2018-06-05 · 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{6ZZRBF7JDQZZAFZ7TT63DYFDBZ}

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	2026-05-18T00:14:12.073635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6731097e91c3390173f9cfdb1e0a30e4ee5cbdc940b04fa40edab29d2fa4f80

Aliases

arxiv: 1806.01676 · arxiv_version: 1806.01676v1 · doi: 10.48550/arxiv.1806.01676 · pith_short_12: 6ZZRBF7JDQZZ · pith_short_16: 6ZZRBF7JDQZZAFZ7 · pith_short_8: 6ZZRBF7J

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/6ZZRBF7JDQZZAFZ7TT63DYFDBZ \
  | 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: f6731097e91c3390173f9cfdb1e0a30e4ee5cbdc940b04fa40edab29d2fa4f80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05a050e630c69c409b310f1518246ef945c5f2abce9f65772a95556811c2a437",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-05T13:22:11Z",
    "title_canon_sha256": "fab5475ba6962f5227a2dfc554cbd6861ec308e0d7f16545a8f53a9e6fd1c570"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.01676",
    "kind": "arxiv",
    "version": 1
  }
}