pith. sign in
Pith Number

pith:PHIPIS4U

pith:2013:PHIPIS4U45L5WCDW3KKWHLHLLC
not attested not anchored not stored refs pending

Optimal exercise of swing contracts in energy markets: an integral constrained stochastic optimal control problem

A. Cesaroni, M. Basei, T. Vargiolu

arxiv:1307.1320 v1 · 2013-07-04 · math.OC · math.PR · q-fin.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PHIPIS4U45L5WCDW3KKWHLHLLC}

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 2026-05-18T03:19:14.084100Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

79d0f44b94e757db0876da9563aceb58bc2b1fdb1dfac18d1459521e8da14352

Aliases

arxiv: 1307.1320 · arxiv_version: 1307.1320v1 · doi: 10.48550/arxiv.1307.1320 · pith_short_12: PHIPIS4U45L5 · pith_short_16: PHIPIS4U45L5WCDW · pith_short_8: PHIPIS4U
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PHIPIS4U45L5WCDW3KKWHLHLLC \
  | 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: 79d0f44b94e757db0876da9563aceb58bc2b1fdb1dfac18d1459521e8da14352
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "659c5fd585becabad845f8efce578e7b4f5b875070a72b83e2b59144b9991fc2",
    "cross_cats_sorted": [
      "math.PR",
      "q-fin.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-07-04T13:21:33Z",
    "title_canon_sha256": "f0be9f5f00fd86767bad4a816f32e0374853be66e2171d85b79a1abb8022cc27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1320",
    "kind": "arxiv",
    "version": 1
  }
}