Pith Number

pith:AFK3RNTY

pith:2025:AFK3RNTYO35UZHURWZ4ZBGDPEJ

not attested not anchored not stored refs pending

A Hybrid Mean Field Framework for Aggregators Participating in Wholesale Electricity Markets

Andrew L. Liu, Jun He

arxiv:2507.03240 v3 · 2025-07-04 · 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{AFK3RNTYO35UZHURWZ4ZBGDPEJ}

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	2026-05-26T01:02:27.104302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0155b8b67876fb4c9e91b67990986f22560d74741e6cf0b44021274e820c5e28

Aliases

arxiv: 2507.03240 · arxiv_version: 2507.03240v3 · doi: 10.48550/arxiv.2507.03240 · pith_short_12: AFK3RNTYO35U · pith_short_16: AFK3RNTYO35UZHUR · pith_short_8: AFK3RNTY

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/AFK3RNTYO35UZHURWZ4ZBGDPEJ \
  | 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: 0155b8b67876fb4c9e91b67990986f22560d74741e6cf0b44021274e820c5e28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b22ae5a9188b60f06f7885b82b4dc0c525c17513f2f0cef650919ac6b85b699",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2025-07-04T01:17:33Z",
    "title_canon_sha256": "8b76ffc180dea9ea67d7cc60f071b991bd579ac7e3e201e546bbcdaf623ca75b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.03240",
    "kind": "arxiv",
    "version": 3
  }
}