Pith Number

pith:SHVIW2EK

pith:2011:SHVIW2EKXNGPVO33ZE6IL6BKC7

not attested not anchored not stored refs pending

Bounds of efficiency at maximum power for linear, superlinear and sublinear irreversible Carnot-like heat engines

Yang Wang, Z. C. Tu

arxiv:1110.6493 v3 · 2011-10-29 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SHVIW2EKXNGPVO33ZE6IL6BKC7}

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	2026-05-18T03:56:22.366154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91ea8b688abb4cfabb7bc93c85f82a17f69732ee74092617a11f67124660a15e

Aliases

arxiv: 1110.6493 · arxiv_version: 1110.6493v3 · doi: 10.48550/arxiv.1110.6493 · pith_short_12: SHVIW2EKXNGP · pith_short_16: SHVIW2EKXNGPVO33 · pith_short_8: SHVIW2EK

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/SHVIW2EKXNGPVO33ZE6IL6BKC7 \
  | 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: 91ea8b688abb4cfabb7bc93c85f82a17f69732ee74092617a11f67124660a15e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e72c11b798e49e00932b6a0331e977ed0bc91f3bb17f4b2506ecea24abaf6a50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-10-29T02:37:31Z",
    "title_canon_sha256": "42c68d7d6712138e87758d3d9ae60e194c5c5c2d797db663837372ef3ce23e02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6493",
    "kind": "arxiv",
    "version": 3
  }
}