Pith Number

pith:LAPUH4GU

pith:2009:LAPUH4GUCBVXDJKASLQMR4BOUA

not attested not anchored not stored refs pending

The Clausius inequality beyond the weak coupling limit: The quantum Brownian oscillator revisited

Guenter Mahler, Ilki Kim

arxiv:0904.3522 v4 · 2009-04-22 · quant-ph · 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{LAPUH4GUCBVXDJKASLQMR4BOUA}

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	2026-05-18T03:24:06.816862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

581f43f0d4106b71a54092e0c8f02ea02b2c6f9d1663ae15fa2bac0f5f1fd506

Aliases

arxiv: 0904.3522 · arxiv_version: 0904.3522v4 · doi: 10.48550/arxiv.0904.3522 · pith_short_12: LAPUH4GUCBVX · pith_short_16: LAPUH4GUCBVXDJKA · pith_short_8: LAPUH4GU

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/LAPUH4GUCBVXDJKASLQMR4BOUA \
  | 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: 581f43f0d4106b71a54092e0c8f02ea02b2c6f9d1663ae15fa2bac0f5f1fd506

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9758060b8aaba2157c28824e0d6f68bd8199347dc18be73ec4454e60e6031d7e",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-04-22T18:30:00Z",
    "title_canon_sha256": "25eaaeb65b2f6d1d55908c06fc01cdea45005bae651e63c086868720b7e387b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.3522",
    "kind": "arxiv",
    "version": 4
  }
}