Pith Number

pith:3ALYLMMG

pith:2011:3ALYLMMG2YZEAJIUUEIKJI5D75

not attested not anchored not stored refs pending

Quantum Fluctuation Relations for the Lindblad Master Equation

Kirone Mallick, Raphael Chetrite

arxiv:1112.1303 v1 · 2011-12-06 · cond-mat.stat-mech · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ALYLMMG2YZEAJIUUEIKJI5D75}

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	2026-05-18T01:59:16.437347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d81785b186d632402514a110a4a3a3ff4fc4697b3f78ce819ce522d6b9267ee8

Aliases

arxiv: 1112.1303 · arxiv_version: 1112.1303v1 · doi: 10.48550/arxiv.1112.1303 · pith_short_12: 3ALYLMMG2YZE · pith_short_16: 3ALYLMMG2YZEAJIU · pith_short_8: 3ALYLMMG

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/3ALYLMMG2YZEAJIUUEIKJI5D75 \
  | 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: d81785b186d632402514a110a4a3a3ff4fc4697b3f78ce819ce522d6b9267ee8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a6a261fd6e7dd0dc92aa87856eeef75a4e09bd189e4ee2dc65eccafffc68300",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-12-06T15:07:22Z",
    "title_canon_sha256": "c556d636fa5dc67c66119d4e667003aea5b00847fcc9ca9a632933a51714ad54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1303",
    "kind": "arxiv",
    "version": 1
  }
}