Pith Number

pith:D7GZWIDA

pith:2012:D7GZWIDA6OOWKEDYQLHJOVNLZA

not attested not anchored not stored refs pending

Exact equations for SIR epidemics on tree graphs

Istvan Z. Kiss, Kieran J. Sharkey, Peter L. Simon, Robert R. Wilkinson

arxiv:1212.2172 v3 · 2012-12-10 · q-bio.PE · 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{D7GZWIDA6OOWKEDYQLHJOVNLZA}

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	2026-05-18T03:04:22.599938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fcd9b2060f39d65107882ce9755abc82e36718ebf9ab43a81e872260f0558c6

Aliases

arxiv: 1212.2172 · arxiv_version: 1212.2172v3 · doi: 10.48550/arxiv.1212.2172 · pith_short_12: D7GZWIDA6OOW · pith_short_16: D7GZWIDA6OOWKEDY · pith_short_8: D7GZWIDA

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/D7GZWIDA6OOWKEDYQLHJOVNLZA \
  | 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: 1fcd9b2060f39d65107882ce9755abc82e36718ebf9ab43a81e872260f0558c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a9e395065b19d18352990e8b46d9188bfc7ae66a169e09b6b50c2122d2a4f7d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2012-12-10T19:21:05Z",
    "title_canon_sha256": "cfd5453d4b38ef9318131b35394de22bec26639c5893a8d15ebdfb74d4f5ef14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2172",
    "kind": "arxiv",
    "version": 3
  }
}