Pith Number

pith:YYLE6PPW

pith:2013:YYLE6PPWFUUAJAKON3LBEJT7FR

not attested not anchored not stored refs pending

Optimal Distributed Control of Reactive Power via the Alternating Direction Method of Multipliers

Michael Chertkov, Petr \v{S}ulc, Scott Backhaus

arxiv:1310.5748 v2 · 2013-10-21 · 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{YYLE6PPWFUUAJAKON3LBEJT7FR}

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	2026-05-18T02:30:22.848056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6164f3df62d2804814e6ed612267f2c43748c6248e21ff3970c131e44b4fc00

Aliases

arxiv: 1310.5748 · arxiv_version: 1310.5748v2 · doi: 10.48550/arxiv.1310.5748 · pith_short_12: YYLE6PPWFUUA · pith_short_16: YYLE6PPWFUUAJAKO · pith_short_8: YYLE6PPW

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/YYLE6PPWFUUAJAKON3LBEJT7FR \
  | 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: c6164f3df62d2804814e6ed612267f2c43748c6248e21ff3970c131e44b4fc00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92e9d95366482cde6f8939f21e66aea5605c45a4262be6b45ef9f2e0dab810e6",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-10-21T22:27:59Z",
    "title_canon_sha256": "40b0cb66441f1959b82bd99d7fb148e384a4e570b73f50de484aa0cf47ac2a58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5748",
    "kind": "arxiv",
    "version": 2
  }
}