pith. sign in
Pith Number

pith:UID5UFTR

pith:2010:UID5UFTRNFSZDFK5H4FA7267IA
not attested not anchored not stored refs pending

Universal Markovian reduction of Brownian particle dynamics

Bassano Vacchini, Irene Burghardt, Keith H. Hughes, Rocco Martinazzo

arxiv:1010.4718 v1 · 2010-10-22 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UID5UFTRNFSZDFK5H4FA7267IA}

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 2026-05-18T04:30:59.488446Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a207da1671696591955d3f0a0febdf4025ad14fd2d83139f711d85b5125586cf

Aliases

arxiv: 1010.4718 · arxiv_version: 1010.4718v1 · doi: 10.48550/arxiv.1010.4718 · pith_short_12: UID5UFTRNFSZ · pith_short_16: UID5UFTRNFSZDFK5 · pith_short_8: UID5UFTR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UID5UFTRNFSZDFK5H4FA7267IA \
  | 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: a207da1671696591955d3f0a0febdf4025ad14fd2d83139f711d85b5125586cf
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2ac503e86c5023a42d519fffbb2e064eddb69e4798186d2719b7fb7ed4549af9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-10-22T13:59:22Z",
    "title_canon_sha256": "0d4818fcf275a14e558f7e8c83b660f6ce1de4abc40f2322adf33a3cceda9b22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4718",
    "kind": "arxiv",
    "version": 1
  }
}