Pith Number

pith:4J54I2SV

pith:2011:4J54I2SV4PXHXYEUV4NXAAEO7V

not attested not anchored not stored refs pending

Efficiency at maximum power output of linear irreversible Carnot-like heat engines

Yang Wang, Z. C. Tu

arxiv:1108.2873 v3 · 2011-08-14 · 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{4J54I2SV4PXHXYEUV4NXAAEO7V}

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	2026-05-18T03:57:24.972985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e27bc46a55e3ee7be094af1b70008efd4da274b6ab0ddb8f8e4ffcf3ac8c2aa6

Aliases

arxiv: 1108.2873 · arxiv_version: 1108.2873v3 · doi: 10.48550/arxiv.1108.2873 · pith_short_12: 4J54I2SV4PXH · pith_short_16: 4J54I2SV4PXHXYEU · pith_short_8: 4J54I2SV

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/4J54I2SV4PXHXYEUV4NXAAEO7V \
  | 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: e27bc46a55e3ee7be094af1b70008efd4da274b6ab0ddb8f8e4ffcf3ac8c2aa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4574064f72bf16a44a239dcaaaa081e2d0ef07649f3262e3bfb01425678ba1a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-08-14T13:54:09Z",
    "title_canon_sha256": "40e9ddd2e123bfeeca645795de2e6178c5f7f72a13170ae9388be40728eda6a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2873",
    "kind": "arxiv",
    "version": 3
  }
}