Pith Number

pith:QPJFNNHA

pith:2019:QPJFNNHANOCSDI5XVYLWZHP4IC

not attested not anchored not stored refs pending

Tightening QC Relaxations of AC Optimal Power Flow Problems via Complex Per Unit Normalization

Daniel K. Molzahn, Mariesa L. Crow, Mohammad Rasoul Narimani

arxiv:1912.05061 v3 · 2019-12-11 · 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{QPJFNNHANOCSDI5XVYLWZHP4IC}

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	2026-07-05T01:11:11.015975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83d256b4e06b8521a3b7ae176c9dfc4081ba3a87aa72d5c06976600b83ef1c79

Aliases

arxiv: 1912.05061 · arxiv_version: 1912.05061v3 · doi: 10.48550/arxiv.1912.05061 · pith_short_12: QPJFNNHANOCS · pith_short_16: QPJFNNHANOCSDI5X · pith_short_8: QPJFNNHA

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/QPJFNNHANOCSDI5XVYLWZHP4IC \
  | 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: 83d256b4e06b8521a3b7ae176c9dfc4081ba3a87aa72d5c06976600b83ef1c79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dfa2431c54483b4b31a5158c66d770bfe2c054e264086c84aa25bf756d2cdb4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-12-11T00:21:11Z",
    "title_canon_sha256": "1d7a922d882621db63ebdb76c36be16d9a17a4e00ead4732ea0eb53b6351f8c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.05061",
    "kind": "arxiv",
    "version": 3
  }
}