Pith Number

pith:YTZKJKGR

pith:2012:YTZKJKGR64OEW3ZE24JMRLW2L2

not attested not anchored not stored refs pending

Derivation of some translation-invariant Lindblad equations for a quantum Brownian particle

Dominique Spehner, Wojciech De Roeck

arxiv:1208.2053 v2 · 2012-08-09 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YTZKJKGR64OEW3ZE24JMRLW2L2}

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	2026-05-18T02:21:01.318713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4f2a4a8d1f71c4b6f24d712c8aeda5e99de5f2734b5491f9f232d599848d644

Aliases

arxiv: 1208.2053 · arxiv_version: 1208.2053v2 · doi: 10.48550/arxiv.1208.2053 · pith_short_12: YTZKJKGR64OE · pith_short_16: YTZKJKGR64OEW3ZE · pith_short_8: YTZKJKGR

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/YTZKJKGR64OEW3ZE24JMRLW2L2 \
  | 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: c4f2a4a8d1f71c4b6f24d712c8aeda5e99de5f2734b5491f9f232d599848d644

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4c9079c9ba32c137d313a962c14f6c0d243d3eaa0fe6a9e3eb1bd28bca14837",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-09T22:39:02Z",
    "title_canon_sha256": "45b7170b951327b33f4f4062b6ab9d2d9ede2dc3de8fbe9b33b2469830493c9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2053",
    "kind": "arxiv",
    "version": 2
  }
}