Pith Number

pith:MU7UH5UF

pith:2015:MU7UH5UF2QTFMJWIQKSSKU24JT

not attested not anchored not stored refs pending

Cliques in dense inhomogeneous random graphs

Andr\'as M\'ath\'e, Jan Hladk\'y, Martin Dole\v{z}al

arxiv:1510.02335 v3 · 2015-10-08 · 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{MU7UH5UF2QTFMJWIQKSSKU24JT}

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	2026-05-17T23:59:26.798028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

653f43f685d4265626c882a525535c4ce6b33bd1dc08ab7c00f85b2b294fab85

Aliases

arxiv: 1510.02335 · arxiv_version: 1510.02335v3 · doi: 10.48550/arxiv.1510.02335 · pith_short_12: MU7UH5UF2QTF · pith_short_16: MU7UH5UF2QTFMJWI · pith_short_8: MU7UH5UF

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/MU7UH5UF2QTFMJWIQKSSKU24JT \
  | 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: 653f43f685d4265626c882a525535c4ce6b33bd1dc08ab7c00f85b2b294fab85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e95e5e5e79e45b4bad3d2d3fcb1c29bf500714c599745861bf2417f1fc98dde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-08T14:22:39Z",
    "title_canon_sha256": "b00dc9e6b251ad475c91d9ba42a29510b858823a5d2589fdd8d013d7313cc2f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02335",
    "kind": "arxiv",
    "version": 3
  }
}