Pith Number

pith:CGN7QPLR

pith:2014:CGN7QPLRTAPJ7NXVLAFKA3VUEQ

not attested not anchored not stored refs pending

Optimal Power Flow as a Polynomial Optimization Problem

Bissan Ghaddar, Jakub Marecek, Martin Mevissen

arxiv:1404.3626 v3 · 2014-04-14 · math.OC · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGN7QPLRTAPJ7NXVLAFKA3VUEQ}

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	2026-05-18T00:23:09.857284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

119bf83d71981e9fb6f5580aa06eb424384c499e5b56968e08b122632b494001

Aliases

arxiv: 1404.3626 · arxiv_version: 1404.3626v3 · doi: 10.48550/arxiv.1404.3626 · pith_short_12: CGN7QPLRTAPJ · pith_short_16: CGN7QPLRTAPJ7NXV · pith_short_8: CGN7QPLR

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/CGN7QPLRTAPJ7NXVLAFKA3VUEQ \
  | 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: 119bf83d71981e9fb6f5580aa06eb424384c499e5b56968e08b122632b494001

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23d9ce50feb5eb1d2ad93f8a18208fd3658ab4391b0c68b913746c04798e1c9e",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-04-14T15:48:28Z",
    "title_canon_sha256": "9e8db82de2ae2bd018e9048ca9b460b09a3a74d6a26f449f72706798f268784c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3626",
    "kind": "arxiv",
    "version": 3
  }
}