Pith Number

pith:TQI4T3NF

pith:2017:TQI4T3NFRF3FUJWJDYGIV4SHJQ

not attested not anchored not stored refs pending

Locating All Real Solutions of Power Flow Equations: A Convex Optimization Based Method

Bin Liu, Feng Liu, Wei Wei

arxiv:1711.10213 v4 · 2017-11-28 · 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{TQI4T3NFRF3FUJWJDYGIV4SHJQ}

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	2026-05-18T00:22:02.621287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c11c9eda589765a26c91e0c8af2474c3d122ce646f4c623c11ef1c6ba33aa32

Aliases

arxiv: 1711.10213 · arxiv_version: 1711.10213v4 · doi: 10.48550/arxiv.1711.10213 · pith_short_12: TQI4T3NFRF3F · pith_short_16: TQI4T3NFRF3FUJWJ · pith_short_8: TQI4T3NF

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/TQI4T3NFRF3FUJWJDYGIV4SHJQ \
  | 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: 9c11c9eda589765a26c91e0c8af2474c3d122ce646f4c623c11ef1c6ba33aa32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba628248ef1d34d648388f8c6014b7fde474ff654ceeed6a18d6e70587ff5161",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-11-28T10:13:38Z",
    "title_canon_sha256": "ce565d0ba5282e3dc106b4fe6d6450d1e180edf94541c7fa25c27e575a4d1ca3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.10213",
    "kind": "arxiv",
    "version": 4
  }
}