Pith Number

pith:3MBQNAQE

pith:2015:3MBQNAQE44TPIJCF24E4UTVFHV

not attested not anchored not stored refs pending

Fast Local Voltage Control under Limited Reactive Power: Optimality and Stability Analysis

Hao Jan Liu, Hao Zhu

arxiv:1510.07013 v1 · 2015-10-23 · 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{3MBQNAQE44TPIJCF24E4UTVFHV}

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	2026-05-18T01:29:22.388557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db03068204e726f42445d709ca4ea53d4e1782851b75a923811e8dd3bd3628d8

Aliases

arxiv: 1510.07013 · arxiv_version: 1510.07013v1 · doi: 10.48550/arxiv.1510.07013 · pith_short_12: 3MBQNAQE44TP · pith_short_16: 3MBQNAQE44TPIJCF · pith_short_8: 3MBQNAQE

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/3MBQNAQE44TPIJCF24E4UTVFHV \
  | 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: db03068204e726f42445d709ca4ea53d4e1782851b75a923811e8dd3bd3628d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f2abb348195dda29452e5b1563cdcecf3d7aa282f0066814fcd4fff07cd0b6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-10-23T18:49:16Z",
    "title_canon_sha256": "a1cb5463f8fc9dc8a54e15b0819fa07a27ae6fac8233b0967c5aa7bcc2ae1346"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07013",
    "kind": "arxiv",
    "version": 1
  }
}