Pith Number

pith:WZY6DRUX

pith:2014:WZY6DRUX6PHPALBKVNYESYTHT4

not attested not anchored not stored refs pending

Mixed Integer Programming to Globally Minimize the Economic Load Dispatch Problem With Valve-Point Effect

Augustin Lef\`evre, Michael Azzam, P.-A. Absil, S. Easter Selvan

arxiv:1407.4261 v1 · 2014-07-16 · 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{WZY6DRUX6PHPALBKVNYESYTHT4}

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	2026-05-18T02:47:30.793357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b671e1c697f3cef02c2aab704962679f194b1f6b704c64cb815e6c777d3d4dda

Aliases

arxiv: 1407.4261 · arxiv_version: 1407.4261v1 · doi: 10.48550/arxiv.1407.4261 · pith_short_12: WZY6DRUX6PHP · pith_short_16: WZY6DRUX6PHPALBK · pith_short_8: WZY6DRUX

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/WZY6DRUX6PHPALBKVNYESYTHT4 \
  | 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: b671e1c697f3cef02c2aab704962679f194b1f6b704c64cb815e6c777d3d4dda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e8aca511593d1d0db45f2ef6eb51e446963ee9b3460bee07a28c6651e182675",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-07-16T11:17:44Z",
    "title_canon_sha256": "8113587cd763463751bc26ade58d426f4e10dc52821ffce3b501b6e1290f1058"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4261",
    "kind": "arxiv",
    "version": 1
  }
}