pith. sign in
Pith Number

pith:JLFSCPBO

pith:2012:JLFSCPBOJOBDZQT4XRHRSCVEZ3
not attested not anchored not stored refs pending

Hypocoercivity for Kolmogorov backward evolution equations and applications

Martin Grothaus, Patrik Stilgenbauer

arxiv:1207.5447 v1 · 2012-07-23 · math.FA · math-ph · math.AP · math.MP · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JLFSCPBOJOBDZQT4XRHRSCVEZ3}

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 2026-05-18T01:23:39.272778Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4acb213c2e4b823cc27cbc4f190aa4ced66751d3567a49e14c291d36fcca77ba

Aliases

arxiv: 1207.5447 · arxiv_version: 1207.5447v1 · doi: 10.48550/arxiv.1207.5447 · pith_short_12: JLFSCPBOJOBD · pith_short_16: JLFSCPBOJOBDZQT4 · pith_short_8: JLFSCPBO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JLFSCPBOJOBDZQT4XRHRSCVEZ3 \
  | 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: 4acb213c2e4b823cc27cbc4f190aa4ced66751d3567a49e14c291d36fcca77ba
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "efe9f2f215f469314542bdad47df620d8e6bb5a47b6a62fb6244de658e0cfd68",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-07-23T16:44:26Z",
    "title_canon_sha256": "1fa91bf9cb776de691afcd349c39c0cc801faf4a59f3a17f9d429a465159d832"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5447",
    "kind": "arxiv",
    "version": 1
  }
}