Pith Number

pith:MEQXBQDE

pith:2008:MEQXBQDEUUH5RNSJBEVLN4SP7X

not attested not anchored not stored refs pending

Sparse random graphs with clustering

Bela Bollobas, Oliver Riordan, Svante Janson

arxiv:0807.2040 v2 · 2008-07-13 · 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{MEQXBQDEUUH5RNSJBEVLN4SP7X}

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	2026-05-18T04:23:10.805688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

612170c064a50fd8b649092ab6f24ffdc430226fac3c926caf0a21b09aed4923

Aliases

arxiv: 0807.2040 · arxiv_version: 0807.2040v2 · doi: 10.48550/arxiv.0807.2040 · pith_short_12: MEQXBQDEUUH5 · pith_short_16: MEQXBQDEUUH5RNSJ · pith_short_8: MEQXBQDE

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/MEQXBQDEUUH5RNSJBEVLN4SP7X \
  | 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: 612170c064a50fd8b649092ab6f24ffdc430226fac3c926caf0a21b09aed4923

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3abd1f6d48d1dfdbd4e9b136e40bd2fd74cefa89f43f1c670d7a1c3dfbaccfac",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-07-13T16:26:15Z",
    "title_canon_sha256": "387fdb650823e1a63578bfbf484f6976d4acbc4061d51275964f06b38050657d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.2040",
    "kind": "arxiv",
    "version": 2
  }
}