Pith Number

pith:62KSSLD2

pith:2026:62KSSLD2Q34IRJGJA3GT6M65T6

not attested not anchored not stored refs pending

Finite-Time Thermodynamics of Battery Discharging: Power-Efficiency Trade-Off and Optimization

Rui-Han Liu, Yu-Han Ma, Yun-Qian Lin

arxiv:2607.03157 v1 · 2026-07-03 · cond-mat.stat-mech · physics.class-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{62KSSLD2Q34IRJGJA3GT6M65T6}

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	2026-07-07T01:16:45.163471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f695292c7a86f888a4c906cd3f33dd9fb68ab173775554146de9728e6ca5cb9b

Aliases

arxiv: 2607.03157 · arxiv_version: 2607.03157v1 · doi: 10.48550/arxiv.2607.03157 · pith_short_12: 62KSSLD2Q34I · pith_short_16: 62KSSLD2Q34IRJGJ · pith_short_8: 62KSSLD2

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/62KSSLD2Q34IRJGJA3GT6M65T6 \
  | 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: f695292c7a86f888a4c906cd3f33dd9fb68ab173775554146de9728e6ca5cb9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c12e10fc63031820a4b0c360195fc21bf44c1ee07fdb0c632feced2acdef46dc",
    "cross_cats_sorted": [
      "physics.class-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-07-03T09:58:24Z",
    "title_canon_sha256": "81d0a4018ff4ba98511810cc238467d162643532ba1c8e0ede112500512eec3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03157",
    "kind": "arxiv",
    "version": 1
  }
}