Pith Number

pith:YL32RAWO

pith:2012:YL32RAWOLHIRQRAYBSC3MYHL7G

not attested not anchored not stored refs pending

Connectivity of inhomogeneous random graphs

Luc Devroye, Nicolas Fraiman

arxiv:1210.6259 v1 · 2012-10-23 · 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{YL32RAWOLHIRQRAYBSC3MYHL7G}

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	2026-05-18T03:42:25.061621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2f7a882ce59d11844180c85b660ebf9b4140a5dec7fc1442fb7b80e176d55c0

Aliases

arxiv: 1210.6259 · arxiv_version: 1210.6259v1 · doi: 10.48550/arxiv.1210.6259 · pith_short_12: YL32RAWOLHIR · pith_short_16: YL32RAWOLHIRQRAY · pith_short_8: YL32RAWO

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/YL32RAWOLHIRQRAYBSC3MYHL7G \
  | 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: c2f7a882ce59d11844180c85b660ebf9b4140a5dec7fc1442fb7b80e176d55c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1fc1fed82aef29c10f773f40abd81f1cbe26acaa92ac8e167d9f1dae65fe298",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-23T15:03:13Z",
    "title_canon_sha256": "1805651636c0841a9cbe408ef4933431b9ff4b2ef4f89a51401c3c30460aafb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6259",
    "kind": "arxiv",
    "version": 1
  }
}