Pith Number

pith:7LLO4KV5

pith:2009:7LLO4KV5SORBGXC2WH6DWFZD4I

not attested not anchored not stored refs pending

Distributed control of reactive power flow in a radial distribution circuit with high photovoltaic penetration

Konstantin Turitsyn, Michael Chertkov, Petr Sulc, Scott Backhaus

arxiv:0912.3281 v1 · 2009-12-16 · 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{7LLO4KV5SORBGXC2WH6DWFZD4I}

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	2026-05-18T00:57:57.963294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fad6ee2abd93a2135c5ab1fc3b1723e226a2880e47263667837c9a1a07f929a4

Aliases

arxiv: 0912.3281 · arxiv_version: 0912.3281v1 · doi: 10.48550/arxiv.0912.3281 · pith_short_12: 7LLO4KV5SORB · pith_short_16: 7LLO4KV5SORBGXC2 · pith_short_8: 7LLO4KV5

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/7LLO4KV5SORBGXC2WH6DWFZD4I \
  | 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: fad6ee2abd93a2135c5ab1fc3b1723e226a2880e47263667837c9a1a07f929a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c28215040abeb65256fcd144d5926876536d728847e6893adf60a8aa69f27687",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2009-12-16T22:47:05Z",
    "title_canon_sha256": "4bcd006b131b6902d3554493ee85c2d61d5511f284ade3a453d4f0ee15bdd74a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3281",
    "kind": "arxiv",
    "version": 1
  }
}