Pith Number

pith:IY72U247

pith:2022:IY72U2475ZR2Y2F7WT64TEEVFN

not attested not anchored not stored refs pending

The asymptotic emergence of the Second Law for a repeated charging process

Marcin {\L}obejko, Micha{\l} Horodecki, Pawe{\l} Mazurek

arxiv:2209.05339 v1 · 2022-09-12 · 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{IY72U2475ZR2Y2F7WT64TEEVFN}

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

Concentration of ergotropy in many-body systems

Receipt and verification

First computed	2026-07-05T04:56:29.551654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

463faa6b9fee63ac68bfb4fdc990952b56ed627d32e0e7e42451454f4637c960

Aliases

arxiv: 2209.05339 · arxiv_version: 2209.05339v1 · doi: 10.48550/arxiv.2209.05339 · pith_short_12: IY72U2475ZR2 · pith_short_16: IY72U2475ZR2Y2F7 · pith_short_8: IY72U247

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/IY72U2475ZR2Y2F7WT64TEEVFN \
  | 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: 463faa6b9fee63ac68bfb4fdc990952b56ed627d32e0e7e42451454f4637c960

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70c8286b7d27b867d52b296503ee9527088bead8cf2ff2c2489bdef6eb868487",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2022-09-12T15:50:37Z",
    "title_canon_sha256": "b099c871f6cdd84c0b4248ff618a14dce9b987e755422835765eaca0de4a5c09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.05339",
    "kind": "arxiv",
    "version": 1
  }
}