Pith Number

pith:SFMZLZ4Q

pith:2025:SFMZLZ4QGK2ASD37FFTKZ3KKK6

not attested not anchored not stored refs pending

Ergotropy in Quantum Batteries

Cheng-Jie Wang, Fu-Quan Dou

arxiv:2512.21855 v1 · 2025-12-26 · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SFMZLZ4QGK2ASD37FFTKZ3KKK6}

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.

Cited by

1 paper in Pith

Scaling law of asymptotic freedom in collective charging of quantum batteries

Receipt and verification

First computed	2026-07-13T00:17:05.668374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

915995e79032b4090f7f2966aced4a57ab7937100f30855848b7281a28b6f8b9

Aliases

arxiv: 2512.21855 · arxiv_version: 2512.21855v1 · doi: 10.48550/arxiv.2512.21855 · pith_short_12: SFMZLZ4QGK2A · pith_short_16: SFMZLZ4QGK2ASD37 · pith_short_8: SFMZLZ4Q

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/SFMZLZ4QGK2ASD37FFTKZ3KKK6 \
  | 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: 915995e79032b4090f7f2966aced4a57ab7937100f30855848b7281a28b6f8b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c07f38afaa06c2474a482336ecf55c4ddbfc3da34435e2203f31a48abf416d13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-12-26T04:35:36Z",
    "title_canon_sha256": "1f336691416d48774afd8c2909d9c4ce628b9caf2dbe639fdd173b404e270f14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.21855",
    "kind": "arxiv",
    "version": 1
  }
}