Pith Number

pith:GHCFPCTE

pith:2018:GHCFPCTESV4PXPL7YX6PNFNU4A

not attested not anchored not stored refs pending

Near-perfect clique-factors in sparse pseudorandom graphs

Jie Han, Yoshiharu Kohayakawa, Yury Person

arxiv:1806.00493 v1 · 2018-06-01 · 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{GHCFPCTESV4PXPL7YX6PNFNU4A}

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	2026-05-18T00:14:21.075455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31c4578a649578fbbd7fc5fcf695b4e0278ad5af12c6b48362996231a6ab9afc

Aliases

arxiv: 1806.00493 · arxiv_version: 1806.00493v1 · doi: 10.48550/arxiv.1806.00493 · pith_short_12: GHCFPCTESV4P · pith_short_16: GHCFPCTESV4PXPL7 · pith_short_8: GHCFPCTE

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/GHCFPCTESV4PXPL7YX6PNFNU4A \
  | 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: 31c4578a649578fbbd7fc5fcf695b4e0278ad5af12c6b48362996231a6ab9afc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e95def9e95e2b613d343d6ba0a05eaa79cab2b74c2dc680a8aee8afff05cff16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-01T18:09:19Z",
    "title_canon_sha256": "c11fd6289c8e5fc77928a6543942453858ed1ce77da80883a3e1285634fa5cf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00493",
    "kind": "arxiv",
    "version": 1
  }
}