Pith Number

pith:6MVVU55Z

pith:2017:6MVVU55ZXJZMWTM3LXTJ4XY7UP

not attested not anchored not stored refs pending

Energy Trading between microgrids Individual Cost Minimization and Social Welfare Maximization

Bei Chen, Bo Yang, Cailian Chen, Fei Xiong, Qimin Xu, Xinping Guan, Zhenyu Qiao

arxiv:1702.02748 v2 · 2017-02-09 · 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{6MVVU55ZXJZMWTM3LXTJ4XY7UP}

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	2026-05-18T00:48:25.811272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f32b5a77b9ba72cb4d9b5de69e5f1fa3eddb55b05b3cd7d69442c96f1180ba09

Aliases

arxiv: 1702.02748 · arxiv_version: 1702.02748v2 · doi: 10.48550/arxiv.1702.02748 · pith_short_12: 6MVVU55ZXJZM · pith_short_16: 6MVVU55ZXJZMWTM3 · pith_short_8: 6MVVU55Z

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/6MVVU55ZXJZMWTM3LXTJ4XY7UP \
  | 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: f32b5a77b9ba72cb4d9b5de69e5f1fa3eddb55b05b3cd7d69442c96f1180ba09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c6779f3c5f3bd7541e1acdbe36fabec44345ac1284b8f7c0d9365ca2d7ac62e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2017-02-09T08:53:17Z",
    "title_canon_sha256": "8eb923e5f04b37a009bde19e592dbb806ba05b72e6b9e9a887d1f69aedf2aff0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02748",
    "kind": "arxiv",
    "version": 2
  }
}