Pith Number

pith:ZLYHU2FJ

pith:2020:ZLYHU2FJ6JEJZPLPVCH5LAFNZS

not attested not anchored not stored refs pending

Stochastic Unit Commitment in Electricity-Gas Coupled Integrated Energy Systems based on Modified Progressive Hedging

Haizhou Liu, Hongbin Sun, Qinglai Guo, Wenzhi Zhao, Xinwei Shen, Xinyi Zhao

arxiv:2006.09084 v1 · 2020-06-16 · 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{ZLYHU2FJ6JEJZPLPVCH5LAFNZS}

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	2026-07-05T01:10:46.177341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caf07a68a9f2489cbd6fa88fd580adcc89c9dde095779229aff082f543ee4f72

Aliases

arxiv: 2006.09084 · arxiv_version: 2006.09084v1 · doi: 10.48550/arxiv.2006.09084 · pith_short_12: ZLYHU2FJ6JEJ · pith_short_16: ZLYHU2FJ6JEJZPLP · pith_short_8: ZLYHU2FJ

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/ZLYHU2FJ6JEJZPLPVCH5LAFNZS \
  | 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: caf07a68a9f2489cbd6fa88fd580adcc89c9dde095779229aff082f543ee4f72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1dbf4a91b06507c101b85dd452a188814e61f40d6ffd605e2140b78c7700127",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2020-06-16T11:41:23Z",
    "title_canon_sha256": "9331a377741f5d375a77cd5a4d65d99e63bc0b0bb1f346b4264e3ad8bb970d46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.09084",
    "kind": "arxiv",
    "version": 1
  }
}