pith. sign in
Pith Number

pith:7JBDNFCK

pith:2014:7JBDNFCKANHZXDOMHZTKLG2VM4
not attested not anchored not stored refs pending

Optimal Control of Tuberculosis: A Review

Cristiana J. Silva, Delfim F. M. Torres

arxiv:1406.3456 v1 · 2014-06-13 · math.OC · q-bio.PE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7JBDNFCKANHZXDOMHZTKLG2VM4}

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 2026-05-18T01:35:16.630103Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fa4236944a034f9b8dcc3e66a59b5567135e684e22edbb7b2303ca3f791e3f2c

Aliases

arxiv: 1406.3456 · arxiv_version: 1406.3456v1 · doi: 10.48550/arxiv.1406.3456 · pith_short_12: 7JBDNFCKANHZ · pith_short_16: 7JBDNFCKANHZXDOM · pith_short_8: 7JBDNFCK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7JBDNFCKANHZXDOMHZTKLG2VM4 \
  | 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: fa4236944a034f9b8dcc3e66a59b5567135e684e22edbb7b2303ca3f791e3f2c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d1d5affde56b6be076e36f0bc40ee29f7f62664af7e88b45b30b1690be25b438",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-06-13T08:56:10Z",
    "title_canon_sha256": "406d899d87605786e7966913e3dc3e6342a43fa766c02bd9744c2c076ef48436"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3456",
    "kind": "arxiv",
    "version": 1
  }
}