Pith Number

pith:P4RUAAGO

pith:2018:P4RUAAGOYSFA65WVZZ33UVYVTQ

not attested not anchored not stored refs pending

A Study on the Strong Duality of Conic Relaxation of AC Optimal Power Flow in Radial Networks

Bo Zeng, Jianxue Wang, Xiaoyu Cao

arxiv:1807.08785 v1 · 2018-07-23 · 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{P4RUAAGOYSFA65WVZZ33UVYVTQ}

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	2026-05-18T00:09:57.866649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f234000cec48a0f76d5ce77ba57159c2681988bcbb753a27aabb1803a357908

Aliases

arxiv: 1807.08785 · arxiv_version: 1807.08785v1 · doi: 10.48550/arxiv.1807.08785 · pith_short_12: P4RUAAGOYSFA · pith_short_16: P4RUAAGOYSFA65WV · pith_short_8: P4RUAAGO

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/P4RUAAGOYSFA65WVZZ33UVYVTQ \
  | 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: 7f234000cec48a0f76d5ce77ba57159c2681988bcbb753a27aabb1803a357908

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c06d9eaf7c12f87265a2d42eb2fcc9250cbe42fb9fb0de54aaf9ef553e62ca3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-07-23T18:54:32Z",
    "title_canon_sha256": "c5e65746a3cf19fc0fd4603f00365a9025f0aac9bef9fa760a3f95db08874776"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08785",
    "kind": "arxiv",
    "version": 1
  }
}