Pith Number

pith:FKKT2IY3

pith:2016:FKKT2IY33BSFNH5IEUQH77ZXAK

not attested not anchored not stored refs pending

An Exact Convex Formulation of Optimal Power Flow in Radial Distribution Networks Including Transverse Components

Jean-Yves Le Boudec, Mario Paolone, Mostafa Nick, Rachid Cherkaoui

arxiv:1605.01964 v6 · 2016-05-06 · 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{FKKT2IY33BSFNH5IEUQH77ZXAK}

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	2026-05-18T00:41:08.186011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a953d231bd864569fa825207fff37029cf6614fedbe903cff112e9549b90956

Aliases

arxiv: 1605.01964 · arxiv_version: 1605.01964v6 · doi: 10.48550/arxiv.1605.01964 · pith_short_12: FKKT2IY33BSF · pith_short_16: FKKT2IY33BSFNH5I · pith_short_8: FKKT2IY3

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/FKKT2IY33BSFNH5IEUQH77ZXAK \
  | 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: 2a953d231bd864569fa825207fff37029cf6614fedbe903cff112e9549b90956

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0af155cd11d9daacab37ef30f336a09edc6fe60cf6634489ed37d4a6d888d68c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-05-06T15:10:15Z",
    "title_canon_sha256": "721a60066afa0bff74797ab59673365ff6a485fb20dc01b44ad33c0f051b8944"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01964",
    "kind": "arxiv",
    "version": 6
  }
}