pith. sign in
Pith Number

pith:O4GUCQ5C

pith:2018:O4GUCQ5CFDU4OEXLHBJGTBUJC3
not attested not anchored not stored refs pending

Exact Solution to a Dynamic SIR Model

Delfim F. M. Torres, Martin Bohner, Sabrina Streipert

arxiv:1812.09759 v1 · 2018-12-23 · math.CA · math.DS · physics.soc-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{O4GUCQ5CFDU4OEXLHBJGTBUJC3}

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 2026-05-17T23:57:14.535479Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

770d4143a228e9c712eb385269868916dd6d578208f5b73f09eba2df93c8665d

Aliases

arxiv: 1812.09759 · arxiv_version: 1812.09759v1 · doi: 10.48550/arxiv.1812.09759 · pith_short_12: O4GUCQ5CFDU4 · pith_short_16: O4GUCQ5CFDU4OEXL · pith_short_8: O4GUCQ5C
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/O4GUCQ5CFDU4OEXLHBJGTBUJC3 \
  | 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: 770d4143a228e9c712eb385269868916dd6d578208f5b73f09eba2df93c8665d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8ecc162071abe1a4ef1d4c70cd7a020e0cb4985dae84ba963b4cd5d49a3d97e6",
    "cross_cats_sorted": [
      "math.DS",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-12-23T19:16:11Z",
    "title_canon_sha256": "4e16bc621bf50774fae45d53c6ea76729b781d8b5c32a79dcdf8db9f342eddb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.09759",
    "kind": "arxiv",
    "version": 1
  }
}