Pith Number

pith:5MQHZVKR

pith:2008:5MQHZVKRZVRSLA5D6M77JHD57A

not attested not anchored not stored refs pending

Infinite paths and cliques in random graphs

A. Berarducci, M. Novaga, P. Majer

arxiv:0809.2335 v5 · 2008-09-13 · math.PR · 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{5MQHZVKRZVRSLA5D6M77JHD57A}

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	2026-05-18T04:25:39.343111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb207cd551cd632583a3f33ff49c7df81e81b2f7d0eaa24c57290015a0cb8b59

Aliases

arxiv: 0809.2335 · arxiv_version: 0809.2335v5 · doi: 10.48550/arxiv.0809.2335 · pith_short_12: 5MQHZVKRZVRS · pith_short_16: 5MQHZVKRZVRSLA5D · pith_short_8: 5MQHZVKR

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/5MQHZVKRZVRSLA5D6M77JHD57A \
  | 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: eb207cd551cd632583a3f33ff49c7df81e81b2f7d0eaa24c57290015a0cb8b59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0279662e8ec25065e0d54820f901bb6cb9d52534107d2f4016860028069af132",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-09-13T12:59:28Z",
    "title_canon_sha256": "a97b71f5c0205369f1f5b9f14a4a5641a5fc2698f3c3334f3ec172668d1d933a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.2335",
    "kind": "arxiv",
    "version": 5
  }
}