Pith Number

pith:EU5E4LJQ

pith:2024:EU5E4LJQL6L3BE6VAJFLQKICPS

not attested not anchored not stored refs pending

A Law of Large Numbers for SIR on the Stochastic Block Model: A Proof via Herd Immunity

Christian Borgs, Christian Ikeokwu, Karissa Huang

arxiv:2410.07097 v1 · 2024-10-09 · math.PR · cs.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EU5E4LJQL6L3BE6VAJFLQKICPS}

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.

Cited by

1 paper in Pith

Stochastic heterogeneous SIR model with infection-age dependent infectivity on large random graphs

Receipt and verification

First computed	2026-07-05T09:18:10.719988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

253a4e2d305f97b093d5024ab829027c904356170f2771f65c1b067e1a26edba

Aliases

arxiv: 2410.07097 · arxiv_version: 2410.07097v1 · doi: 10.48550/arxiv.2410.07097 · pith_short_12: EU5E4LJQL6L3 · pith_short_16: EU5E4LJQL6L3BE6V · pith_short_8: EU5E4LJQ

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/EU5E4LJQL6L3BE6VAJFLQKICPS \
  | 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: 253a4e2d305f97b093d5024ab829027c904356170f2771f65c1b067e1a26edba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26aea1ce167c4643ded0e8ce98c4cce857a43eec906f849b4e5d16290e334e92",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-10-09T17:38:09Z",
    "title_canon_sha256": "514f68e5a1203c8a526690257c6a5bed38fd9e7d9bf8536d7a5cb9f1f4c7242b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.07097",
    "kind": "arxiv",
    "version": 1
  }
}