Pith Number

pith:Y6AY27OC

pith:2021:Y6AY27OCYY3QER6L422X7O5O2D

not attested not anchored not stored refs pending

Quantum Heat Engines with Carnot Efficiency at Maximum Power

Maciej Lewenstein, Manabendra Nath Bera, Mohit Lal Bera, Sergi Juli\`a-Farr\'e

arxiv:2106.01193 v3 · 2021-06-02 · quant-ph · math-ph · math.MP · physics.atom-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{Y6AY27OCYY3QER6L422X7O5O2D}

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	2026-07-05T04:01:41.766701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7818d7dc2c6370247cbe6b57fbbaed0c4fbebb05fe465d462e3b99ee11caa22

Aliases

arxiv: 2106.01193 · arxiv_version: 2106.01193v3 · doi: 10.48550/arxiv.2106.01193 · pith_short_12: Y6AY27OCYY3Q · pith_short_16: Y6AY27OCYY3QER6L · pith_short_8: Y6AY27OC

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/Y6AY27OCYY3QER6L422X7O5O2D \
  | 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: c7818d7dc2c6370247cbe6b57fbbaed0c4fbebb05fe465d462e3b99ee11caa22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87b1b6184f4c1e6552178ce7d1a29713a82a65d6d8cf9c42df77acde4ef1ca3f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.atom-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-06-02T14:34:38Z",
    "title_canon_sha256": "d2fe3d0dd887e416d20707974c9c0ace30337c964a3e6a5b973a5c58f4641faf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.01193",
    "kind": "arxiv",
    "version": 3
  }
}