pith. sign in
Pith Number

pith:PWMYXQEO

pith:2015:PWMYXQEOPD3VVC7DYXXXLN6CX6
not attested not anchored not stored refs pending

Microscopic Description of Quantum Lorentz Gas by Complex Spectral Representation of the Liouville-von Neumann Equation: A Limitation of the Boltzmann Approximation

Kazuki Kanki, Kazunari Hashimoto, Satoshi Tanaka, Tomio Petrosky

arxiv:1507.02038 v1 · 2015-07-08 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PWMYXQEOPD3VVC7DYXXXLN6CX6}

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 2026-05-18T01:37:08.773490Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7d998bc08e78f75a8be3c5ef75b7c2bf919a25600249de63d38fa6663f9afadb

Aliases

arxiv: 1507.02038 · arxiv_version: 1507.02038v1 · doi: 10.48550/arxiv.1507.02038 · pith_short_12: PWMYXQEOPD3V · pith_short_16: PWMYXQEOPD3VVC7D · pith_short_8: PWMYXQEO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PWMYXQEOPD3VVC7DYXXXLN6CX6 \
  | 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: 7d998bc08e78f75a8be3c5ef75b7c2bf919a25600249de63d38fa6663f9afadb
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "51a2ff259e2597611461bb3fb63b54a6e1db599e729ff3b384873b72332c0e36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-07-08T06:27:23Z",
    "title_canon_sha256": "4d0efa3745a43dec39eda89e17072e9898a2b9ea494775985185b738eb8027ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02038",
    "kind": "arxiv",
    "version": 1
  }
}