Pith Number

pith:733MVDUZ

pith:2018:733MVDUZQDC3AAR3ZFVNINMFJV

not attested not anchored not stored refs pending

The Value of Reactive Power for Voltage Control in Lossy Networks

Dimitra Apostolopoulou, Malcolm McCulloch, Matthew Deakin, Thomas Morstyn

arxiv:1803.05197 v2 · 2018-03-14 · math.OC · cs.SY

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{733MVDUZQDC3AAR3ZFVNINMFJV}

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	2026-05-17T23:51:44.291420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fef6ca8e9980c5b0023bc96ad435854d53ccf9337acc8ec0669d2e924f35b8cc

Aliases

arxiv: 1803.05197 · arxiv_version: 1803.05197v2 · doi: 10.48550/arxiv.1803.05197 · pith_short_12: 733MVDUZQDC3 · pith_short_16: 733MVDUZQDC3AAR3 · pith_short_8: 733MVDUZ

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/733MVDUZQDC3AAR3ZFVNINMFJV \
  | 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: fef6ca8e9980c5b0023bc96ad435854d53ccf9337acc8ec0669d2e924f35b8cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ef7985e9d72c28b5fbbedb9db6c3aec7c662c5769a9b2a4b86103dcd48cc49b",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-03-14T10:44:05Z",
    "title_canon_sha256": "c22c4dd11e4e8658ffb4d15c93b2e057a26859e1bbc296737695c7fb42b15ae3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.05197",
    "kind": "arxiv",
    "version": 2
  }
}