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Pith Number

pith:JOFAOTH6

pith:2014:JOFAOTH6MH45MVDXYBIOALFJE5
not attested not anchored not stored refs pending

Multiobjective approach to optimal control for a tuberculosis model

Cristiana J. Silva, Delfim F. M. Torres, Roman Denysiuk

arxiv:1412.0528 v1 · 2014-12-01 · math.OC · q-bio.PE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JOFAOTH6MH45MVDXYBIOALFJE5}

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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.
Receipt and verification
First computed 2026-05-18T01:34:35.359866Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4b8a074cfe61f9d65477c050e02ca9275dcf8d3afacbbc84d8d9c988f24956b6

Aliases

arxiv: 1412.0528 · arxiv_version: 1412.0528v1 · doi: 10.48550/arxiv.1412.0528 · pith_short_12: JOFAOTH6MH45 · pith_short_16: JOFAOTH6MH45MVDX · pith_short_8: JOFAOTH6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JOFAOTH6MH45MVDXYBIOALFJE5 \
  | 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: 4b8a074cfe61f9d65477c050e02ca9275dcf8d3afacbbc84d8d9c988f24956b6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "64225ad184ee7f9335429c073b32d7eb8841c8eb67c550d6f14964467d702ae5",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-12-01T16:20:52Z",
    "title_canon_sha256": "62a73c3ec723e19857f95699111f3b5d3552c767183c2ce408d7d2a60ca6a7dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0528",
    "kind": "arxiv",
    "version": 1
  }
}