Pith Number

pith:2SXTPBLJ

pith:2012:2SXTPBLJWZJBEDH7ETYBVWPNDV

not attested not anchored not stored refs pending

Exact Convex Relaxation of Optimal Power Flow in Tree Networks

Lingwen Gan, Na Li, Steven H. Low, Ufuk Topcu

arxiv:1208.4076 v4 · 2012-08-20 · 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{2SXTPBLJWZJBEDH7ETYBVWPNDV}

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	2026-05-18T03:19:35.257539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4af378569b652120cff24f01ad9ed1d47bac5d117b1d42c59c4ab805a3b3826

Aliases

arxiv: 1208.4076 · arxiv_version: 1208.4076v4 · doi: 10.48550/arxiv.1208.4076 · pith_short_12: 2SXTPBLJWZJB · pith_short_16: 2SXTPBLJWZJBEDH7 · pith_short_8: 2SXTPBLJ

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/2SXTPBLJWZJBEDH7ETYBVWPNDV \
  | 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: d4af378569b652120cff24f01ad9ed1d47bac5d117b1d42c59c4ab805a3b3826

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94a159392eb94d798c42b1887da83d7725fe506fed3c7fd50afe068e539d2443",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-08-20T18:18:57Z",
    "title_canon_sha256": "d0cf65ea2aee554d0ea9b8096e51e85ff63dee1a96bb8375f7fd4dce597bda21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4076",
    "kind": "arxiv",
    "version": 4
  }
}