Pith Number

pith:Q2H7VPI6

pith:2025:Q2H7VPI6EG5MGPPPW2WC5X2ETW

not attested not anchored not stored refs pending

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects

Delfim F. M. Torres, G.A. Lyakurwa, Mfano Charles, Sayoki G. Mfinanga, Verdiana G. Masanja

arxiv:2507.08895 v1 · 2025-07-10 · math.OC · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q2H7VPI6EG5MGPPPW2WC5X2ETW}

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	2026-07-05T12:04:38.465051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

868ffabd1e21bac33defb6ac2edf449d8377136c55fefbd53acf0bca7bf0333b

Aliases

arxiv: 2507.08895 · arxiv_version: 2507.08895v1 · doi: 10.48550/arxiv.2507.08895 · pith_short_12: Q2H7VPI6EG5M · pith_short_16: Q2H7VPI6EG5MGPPP · pith_short_8: Q2H7VPI6

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/Q2H7VPI6EG5MGPPPW2WC5X2ETW \
  | 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: 868ffabd1e21bac33defb6ac2edf449d8377136c55fefbd53acf0bca7bf0333b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76a7668d606b87fa616358f73ccdc9b85912d5d00c021428867b6b4f4a39e58a",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-07-10T23:03:40Z",
    "title_canon_sha256": "9f8c34df820fa357c8931807bc24c84f38ca5f6ee45ef4d50bb09f78b7c858c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.08895",
    "kind": "arxiv",
    "version": 1
  }
}