Pith Number

pith:3ZGRR4T4

pith:2022:3ZGRR4T4U675YB2B4IZJBVVDTX

not attested not anchored not stored refs pending

Multi-objective Distributed Optimization for Zonal Distribution System with Multi-Microgrids

Lemeng Liang, Lingxu Guo, Rujing Wang, Tao Xu, Zuozheng Liu

arxiv:2202.09762 v1 · 2022-02-20 · eess.SY · 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{3ZGRR4T4U675YB2B4IZJBVVDTX}

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	2026-07-05T03:58:25.766089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de4d18f27ca7bfdc0741e23290d6a39de3ca30b356bdd76b59a59bb898757c5d

Aliases

arxiv: 2202.09762 · arxiv_version: 2202.09762v1 · doi: 10.48550/arxiv.2202.09762 · pith_short_12: 3ZGRR4T4U675 · pith_short_16: 3ZGRR4T4U675YB2B · pith_short_8: 3ZGRR4T4

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/3ZGRR4T4U675YB2B4IZJBVVDTX \
  | 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: de4d18f27ca7bfdc0741e23290d6a39de3ca30b356bdd76b59a59bb898757c5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0def3dec9541fe6c9bd733919447a088c4c734bbf60620f3e49eda796a10b67d",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2022-02-20T08:41:51Z",
    "title_canon_sha256": "c29a3679fa33aab5ba88339ba7e82c1dc3634b9e4d20208c1090ee104a4de4d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.09762",
    "kind": "arxiv",
    "version": 1
  }
}