Pith Number

pith:4PFI6FU3

pith:2018:4PFI6FU3NMJA2CYXWNAAXK2F72

not attested not anchored not stored refs pending

A Two-Layer Distributed Control Method for Islanded Networked Microgrid Systems

Chen-Ching Liu, Dan T. Ton, Jinghan He, Josep M. Guerrero, Kevin P. Schneider, Xiangyu Wu, Xiaoyu Wu, Yin Xu

arxiv:1810.08367 v3 · 2018-10-19 · 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{4PFI6FU3NMJA2CYXWNAAXK2F72}

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	2026-05-17T23:49:56.954070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3ca8f169b6b120d0b17b3400bab45febc87111386a213192213d5e202366a49

Aliases

arxiv: 1810.08367 · arxiv_version: 1810.08367v3 · doi: 10.48550/arxiv.1810.08367 · pith_short_12: 4PFI6FU3NMJA · pith_short_16: 4PFI6FU3NMJA2CYX · pith_short_8: 4PFI6FU3

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/4PFI6FU3NMJA2CYXWNAAXK2F72 \
  | 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: e3ca8f169b6b120d0b17b3400bab45febc87111386a213192213d5e202366a49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19317d2226443202885b1272d118d783a89082597d2fcc08ebd90f877e63a10c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-10-19T06:50:19Z",
    "title_canon_sha256": "56be9b069b33170ac9372247e328a6650adf53b08be145cad55afc0019200132"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.08367",
    "kind": "arxiv",
    "version": 3
  }
}