Pith Number

pith:ZL5UCK4M

pith:2012:ZL5UCK4M3K5NDIRSWC4OLZTXXG

not attested not anchored not stored refs pending

Economic Dispatch in Unbalanced Distribution Networks via Semidefinite Relaxation

Bruce F. Wollenberg, Emiliano Dall'Anese, Georgios B. Giannakis

arxiv:1207.0048 v2 · 2012-06-30 · 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{ZL5UCK4M3K5NDIRSWC4OLZTXXG}

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	2026-05-18T03:40:02.902995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cafb412b8cdabad1a232b0b8e5e677b9982af9d3b1e66965d1ce8154bdcb7835

Aliases

arxiv: 1207.0048 · arxiv_version: 1207.0048v2 · doi: 10.48550/arxiv.1207.0048 · pith_short_12: ZL5UCK4M3K5N · pith_short_16: ZL5UCK4M3K5NDIRS · pith_short_8: ZL5UCK4M

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/ZL5UCK4M3K5NDIRSWC4OLZTXXG \
  | 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: cafb412b8cdabad1a232b0b8e5e677b9982af9d3b1e66965d1ce8154bdcb7835

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad775a7907652c403756c7a62bdfacf639807364f2828d25cbd176b79e3ce76c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-06-30T04:56:49Z",
    "title_canon_sha256": "144ae25cd57aba28a7111c0a4260ef26a6110c0430ef1611a15bba9c4e717adc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0048",
    "kind": "arxiv",
    "version": 2
  }
}