Pith Number

pith:AYFQVSRM

pith:2026:AYFQVSRM5UD4HVDOGS6FGN3N4N

not attested not anchored not stored refs pending

Optimal Control Problem with Mixed Control and State Constraints for Cancer Chemotherapy and Treatment Optimization

Aziz Belmiloudi, David Lassounon, Mounir Haddou

arxiv:2606.21765 v1 · 2026-06-19 · 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{AYFQVSRM5UD4HVDOGS6FGN3N4N}

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	2026-06-23T01:13:21.852615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

060b0aca2ced07c3d46e34bc53376de3562a250e86db7d4046224d527e6262a0

Aliases

arxiv: 2606.21765 · arxiv_version: 2606.21765v1 · doi: 10.48550/arxiv.2606.21765 · pith_short_12: AYFQVSRM5UD4 · pith_short_16: AYFQVSRM5UD4HVDO · pith_short_8: AYFQVSRM

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/AYFQVSRM5UD4HVDOGS6FGN3N4N \
  | 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: 060b0aca2ced07c3d46e34bc53376de3562a250e86db7d4046224d527e6262a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "924388ed38eed9071cb7b6cad8102fb20635bc38b920d55ebdc28536c92749b3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-19T21:27:40Z",
    "title_canon_sha256": "7fcb08576e27bf75e32f5fe60f1a4c966735604fcfda628841e86608d5600962"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21765",
    "kind": "arxiv",
    "version": 1
  }
}