pith. sign in
Pith Number

pith:ZR2K5MSS

pith:2013:ZR2K5MSSC7B4OVTYYEQKT5ZYVE
not attested not anchored not stored refs pending

Improvements to Kramers Turnover Theory

Eli Pollak, Joachim Ankerhold

arxiv:1304.1933 v1 · 2013-04-06 · physics.chem-ph · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZR2K5MSSC7B4OVTYYEQKT5ZYVE}

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 2026-05-18T01:50:42.102935Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cc74aeb25217c3c75678c120a9f738a92940b567750559175473f809f5f8268a

Aliases

arxiv: 1304.1933 · arxiv_version: 1304.1933v1 · doi: 10.48550/arxiv.1304.1933 · pith_short_12: ZR2K5MSSC7B4 · pith_short_16: ZR2K5MSSC7B4OVTY · pith_short_8: ZR2K5MSS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZR2K5MSSC7B4OVTYYEQKT5ZYVE \
  | 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: cc74aeb25217c3c75678c120a9f738a92940b567750559175473f809f5f8268a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5cf5be16dd96201d4d03e166422534fc5f1723c1f4ac07828972fcbe4e54a938",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2013-04-06T20:03:45Z",
    "title_canon_sha256": "40a4ac1a3b75e6fd6b25c650ac87ec43f68e1455c7839d7f367d55633ce58e3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1933",
    "kind": "arxiv",
    "version": 1
  }
}