Pith Number

pith:O5FYU2EI

pith:2019:O5FYU2EID5BZI6BXSJTXTE2OPZ

not attested not anchored not stored refs pending

Optimal Power Flow with Step-Voltage Regulators in Multi-Phase Distribution Networks

Hao Zhu, Mohammadhafez Bazrafshan, Nikolaos Gatsis

arxiv:1901.04566 v1 · 2019-01-14 · 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{O5FYU2EID5BZI6BXSJTXTE2OPZ}

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	2026-05-17T23:56:22.384211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

774b8a68881f43947837926779934e7e5cb0f4e5832672de858a0bd5f202d15d

Aliases

arxiv: 1901.04566 · arxiv_version: 1901.04566v1 · doi: 10.48550/arxiv.1901.04566 · pith_short_12: O5FYU2EID5BZ · pith_short_16: O5FYU2EID5BZI6BX · pith_short_8: O5FYU2EI

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/O5FYU2EID5BZI6BXSJTXTE2OPZ \
  | 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: 774b8a68881f43947837926779934e7e5cb0f4e5832672de858a0bd5f202d15d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "872beaf2c7af52a9cd1ca6e5688ea68efd0f87f6cfb36eacd89d7a8dda959c22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-01-14T21:17:43Z",
    "title_canon_sha256": "e3979daf06d43aa418ceb6fe4feec586317f9a2c0e8042be17f2515c8f0ce764"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.04566",
    "kind": "arxiv",
    "version": 1
  }
}