Pith Number

pith:55TPI7UV

pith:2011:55TPI7UVNHQAXBM3JNK2SFNEYX

not attested not anchored not stored refs pending

Thermodynamic Bounds on Efficiency for Systems with Broken Time-reversal Symmetry

Giuliano Benenti, Giulio Casati, Keiji Saito

arxiv:1102.4735 v2 · 2011-02-23 · 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{55TPI7UVNHQAXBM3JNK2SFNEYX}

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	2026-05-18T02:22:31.267332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef66f47e9569e00b859b4b55a915a4c5c761e123b7cfe1ebbaca9fe22a2ae91c

Aliases

arxiv: 1102.4735 · arxiv_version: 1102.4735v2 · doi: 10.48550/arxiv.1102.4735 · pith_short_12: 55TPI7UVNHQA · pith_short_16: 55TPI7UVNHQAXBM3 · pith_short_8: 55TPI7UV

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/55TPI7UVNHQAXBM3JNK2SFNEYX \
  | 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: ef66f47e9569e00b859b4b55a915a4c5c761e123b7cfe1ebbaca9fe22a2ae91c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "941942b9b68620ffb85e81fdf25821386a6fb05104dcac82dc9e556c5f9def1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-02-23T13:24:57Z",
    "title_canon_sha256": "df8738aa568c0da7114c67229923513aae7584d96c0ef3e195adf89483a12e8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4735",
    "kind": "arxiv",
    "version": 2
  }
}