Pith Number

pith:X7RSKW3I

pith:2025:X7RSKW3IBTOBSDB6L7FQ2DK3W7

not attested not anchored not stored refs pending

Heterogeneously structured compartmental models of epidemiological systems: from individual-level processes to population-scale dynamics

Andrea Tosin, Emanuele Bernardi, Mattia Sensi, Tommaso Lorenzi

arxiv:2503.11225 v2 · 2025-03-14 · q-bio.PE · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X7RSKW3IBTOBSDB6L7FQ2DK3W7}

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

An LSTM-PINN Hybrid Method to the specific problem of population forecasting

Receipt and verification

First computed	2026-07-05T11:53:00.200854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfe3255b680cdc190c3e5fcb0d0d5bb7db4c27722b021588df8bd294f9abc331

Aliases

arxiv: 2503.11225 · arxiv_version: 2503.11225v2 · doi: 10.48550/arxiv.2503.11225 · pith_short_12: X7RSKW3IBTOB · pith_short_16: X7RSKW3IBTOBSDB6 · pith_short_8: X7RSKW3I

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/X7RSKW3IBTOBSDB6L7FQ2DK3W7 \
  | 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: bfe3255b680cdc190c3e5fcb0d0d5bb7db4c27722b021588df8bd294f9abc331

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35051603e2221867435af750c8a1291c5525dfbb4e40af5d3340bb03ab298b9b",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2025-03-14T09:20:44Z",
    "title_canon_sha256": "3b5b9f7c2bb1a66d3f6e9de2b4afcf82d351ed79e84354a359e28b646f1acbe4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.11225",
    "kind": "arxiv",
    "version": 2
  }
}