Pith Number

pith:A3FAM5YZ

pith:2026:A3FAM5YZUNICFJTQBK72LT6RKW

not attested not anchored not stored refs pending

Smoothed Two-Stage Decomposition Algorithm for Solving Large-Scale Transmission and Distribution AC-OPF Problems

Andreas Wachter, David M. Fobes, Juan Ospina, Manuel Garcia, Russell Bent, Xinyi Luo

arxiv:2607.16430 v1 · 2026-07-17 · math.OC · cs.SY · eess.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{A3FAM5YZUNICFJTQBK72LT6RKW}

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	2026-07-21T00:20:17.849780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06ca067719a35022a6700abfa5cfd155ab231bf4dd34128819cdaf7daaae19ba

Aliases

arxiv: 2607.16430 · arxiv_version: 2607.16430v1 · doi: 10.48550/arxiv.2607.16430 · pith_short_12: A3FAM5YZUNIC · pith_short_16: A3FAM5YZUNICFJTQ · pith_short_8: A3FAM5YZ

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/A3FAM5YZUNICFJTQBK72LT6RKW \
  | 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: 06ca067719a35022a6700abfa5cfd155ab231bf4dd34128819cdaf7daaae19ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f88b68f62efc2c177ba99ab07322280c5f2ec9dac7941ecb94b9bfbe559a6d9",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-17T18:23:28Z",
    "title_canon_sha256": "c5d63404817aaf14fe613fa75e6e86332653b84dc5667c0cf76ffe543e08d28f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16430",
    "kind": "arxiv",
    "version": 1
  }
}