Pith Number

pith:M6CDBJC3

pith:2017:M6CDBJC35XZW5U5LIZ7NDOPF4J

not attested not anchored not stored refs pending

A Partial Differential Equation Model with Age-Structure and Nonlinear Recidivism: Conditions for a Backward Bifurcation and a General Numerical Implementation

Esteban Segura, Fabio Sanchez, Juan G. Calvo, Zhilan Feng

arxiv:1712.09105 v3 · 2017-12-25 · math.DS · q-bio.PE

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M6CDBJC35XZW5U5LIZ7NDOPF4J}

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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

A two-patch epidemic model with nonlinear reinfection

Receipt and verification

First computed	2026-07-04T23:51:34.476003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

678430a45bedf36ed3ab467ed1b9e5e25468452590220c5a2d249b20a52383ac

Aliases

arxiv: 1712.09105 · arxiv_version: 1712.09105v3 · doi: 10.48550/arxiv.1712.09105 · pith_short_12: M6CDBJC35XZW · pith_short_16: M6CDBJC35XZW5U5L · pith_short_8: M6CDBJC3

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/M6CDBJC35XZW5U5LIZ7NDOPF4J \
  | 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: 678430a45bedf36ed3ab467ed1b9e5e25468452590220c5a2d249b20a52383ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a939a07117578c9619f4e6dbe93bd274fbeee3b54a96bffc3774b2475cb6defd",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-12-25T17:37:37Z",
    "title_canon_sha256": "d980917d4f5d82fe2829d1f30369a2d27aa49b1e276793c5e456dc00a186ae28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09105",
    "kind": "arxiv",
    "version": 3
  }
}