Pith Number

pith:VH5BFWM5

pith:2018:VH5BFWM5GXDQPZ2J6NXSLTLEOE

not attested not anchored not stored refs pending

Optimal chemotherapy and immunotherapy schedules for a cancer-obesity model with Caputo time fractional derivative

Dumitru Baleanu, Sadia Arshad, Tu\u{g}ba Akman Y{\i}ld{\i}z

arxiv:1804.06259 v1 · 2018-04-16 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VH5BFWM5GXDQPZ2J6NXSLTLEOE}

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	2026-05-17T23:57:41.615730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9fa12d99d35c707e749f36f25cd647112e40d0812b484c83d3f2c4e74cf7156

Aliases

arxiv: 1804.06259 · arxiv_version: 1804.06259v1 · doi: 10.48550/arxiv.1804.06259 · pith_short_12: VH5BFWM5GXDQ · pith_short_16: VH5BFWM5GXDQPZ2J · pith_short_8: VH5BFWM5

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/VH5BFWM5GXDQPZ2J6NXSLTLEOE \
  | 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: a9fa12d99d35c707e749f36f25cd647112e40d0812b484c83d3f2c4e74cf7156

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8fa1f07d43c1951e90ba34c5540a56f33a241576ac3e037e3ab426d0b1d0447",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-04-16T12:40:18Z",
    "title_canon_sha256": "22c13f4de3c2dbdc54a616a8e821ce5076b30ec85dce92488c0f6864cf837c1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.06259",
    "kind": "arxiv",
    "version": 1
  }
}