Pith Number

pith:JLX5BTPU

pith:2021:JLX5BTPUNMXPGLKMTU5ZT4AJTZ

not attested not anchored not stored refs pending

Hierarchical Electricity and Carbon Trading in Transmission and Distribution Networks Based on Virtual Federated Prosumer

Haifeng Qiu, Lu Wang, Shuai Lu, Wei Gu, Zhi Wu

arxiv:2109.07213 v1 · 2021-09-15 · 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{JLX5BTPUNMXPGLKMTU5ZT4AJTZ}

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	2026-07-05T03:14:39.998205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4aefd0cdf46b2ef32d4c9d3b99f0099e7479b087066b73f11c3e60872e5a49d5

Aliases

arxiv: 2109.07213 · arxiv_version: 2109.07213v1 · doi: 10.48550/arxiv.2109.07213 · pith_short_12: JLX5BTPUNMXP · pith_short_16: JLX5BTPUNMXPGLKM · pith_short_8: JLX5BTPU

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/JLX5BTPUNMXPGLKMTU5ZT4AJTZ \
  | 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: 4aefd0cdf46b2ef32d4c9d3b99f0099e7479b087066b73f11c3e60872e5a49d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae2603785cc9d08c40f63ce1c437d888bdc837b646dbba3d516e15c3af976aff",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-09-15T11:02:39Z",
    "title_canon_sha256": "3d60984a30c1c687a4b6c3402478a1d80b8e63376747c96153e0439362badc0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.07213",
    "kind": "arxiv",
    "version": 1
  }
}