Pith Number

pith:EONMQ36X

pith:2013:EONMQ36XKHXVWPFOI5S3VFSMM2

not attested not anchored not stored refs pending

Law of large numbers for the SIR epidemic on a random graph with given degrees

Malwina Luczak, Peter Windridge, Svante Janson

arxiv:1308.5493 v3 · 2013-08-26 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EONMQ36XKHXVWPFOI5S3VFSMM2}

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	2026-05-18T02:42:13.135478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

239ac86fd751ef5b3cae4765ba964c669f98e81871f7f54ab3db44bdeb168980

Aliases

arxiv: 1308.5493 · arxiv_version: 1308.5493v3 · doi: 10.48550/arxiv.1308.5493 · pith_short_12: EONMQ36XKHXV · pith_short_16: EONMQ36XKHXVWPFO · pith_short_8: EONMQ36X

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/EONMQ36XKHXVWPFOI5S3VFSMM2 \
  | 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: 239ac86fd751ef5b3cae4765ba964c669f98e81871f7f54ab3db44bdeb168980

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4ee3ea540343bbf19fc5198abe7603f88c1ad8655c37886a4b7cfbaacd5a8de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-26T06:20:13Z",
    "title_canon_sha256": "c38554f6f27cf7aa869734165d6b494ffdd85c3472959f1797a4ab1848d419f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5493",
    "kind": "arxiv",
    "version": 3
  }
}