pith. sign in
Pith Number

pith:AG4CW7GP

pith:2014:AG4CW7GPQWSVBTCCILJ5DMECH3
not attested not anchored not stored refs pending

Energy conservation, counting statistics, and return to equilibrium

Annalisa Panati, Claude-Alain Pillet, Jane Panangaden, Vojkan Jaksic

arxiv:1409.8610 v1 · 2014-09-30 · math-ph · math.MP · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{AG4CW7GPQWSVBTCCILJ5DMECH3}

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 2026-05-18T02:41:24.089308Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

01b82b7ccf85a550cc4242d3d1b0823ed8b388199d99ba04b9358b1e577c7700

Aliases

arxiv: 1409.8610 · arxiv_version: 1409.8610v1 · doi: 10.48550/arxiv.1409.8610 · pith_short_12: AG4CW7GPQWSV · pith_short_16: AG4CW7GPQWSVBTCC · pith_short_8: AG4CW7GP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/AG4CW7GPQWSVBTCCILJ5DMECH3 \
  | 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: 01b82b7ccf85a550cc4242d3d1b0823ed8b388199d99ba04b9358b1e577c7700
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "76f520f3136bb197feaa1113158284594b382f6d2cdcdc4d79b1421de6f4b8c7",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-09-30T16:04:08Z",
    "title_canon_sha256": "ea2b971e0cca1a52a9a14b638e392ae9efb42b5a384e5d21a476ff7e1eadc260"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8610",
    "kind": "arxiv",
    "version": 1
  }
}