Pith Number

pith:SYVYOBID

pith:2021:SYVYOBIDRYYIGCPVGDJZCM4KCS

not attested not anchored not stored refs pending

An Energy Sharing Mechanism Achieving the Same Flexibility as Centralized Dispatch

Han Wang, Jo\~ao P. S. Catal\~ao, Quan Zhou, Wei Wei, Yue Chen

arxiv:2102.07316 v2 · 2021-02-15 · 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{SYVYOBIDRYYIGCPVGDJZCM4KCS}

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	2026-07-05T02:16:53.599410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

962b8705038e308309f530d391338a149e8a2feba77d646fd3ea580b289da859

Aliases

arxiv: 2102.07316 · arxiv_version: 2102.07316v2 · doi: 10.48550/arxiv.2102.07316 · pith_short_12: SYVYOBIDRYYI · pith_short_16: SYVYOBIDRYYIGCPV · pith_short_8: SYVYOBID

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/SYVYOBIDRYYIGCPVGDJZCM4KCS \
  | 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: 962b8705038e308309f530d391338a149e8a2feba77d646fd3ea580b289da859

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8dfdb834e5750c01b92edcc41a2afd0f5c79b214db4f9e6651011dd514152ae",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-02-15T03:00:25Z",
    "title_canon_sha256": "6be9eb5b781dfeda3725f587f34d1876a9d85efccfff5b9264e626baaf3daf0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.07316",
    "kind": "arxiv",
    "version": 2
  }
}