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Pith Number

pith:D2K6D57L

pith:2011:D2K6D57LPW2EPV3JPIB3CUVL4N
not attested not anchored not stored refs pending

A proof by graphical construction of the no-pumping theorem of stochastic pumps

Christopher Jarzynski, Dibyendu Mandal

arxiv:1109.2871 v1 · 2011-09-13 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{D2K6D57LPW2EPV3JPIB3CUVL4N}

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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 2026-05-18T04:00:02.671917Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1e95e1f7eb7db447d7697a03b152abe352d409a226adf19dcd4579aeed6a7694

Aliases

arxiv: 1109.2871 · arxiv_version: 1109.2871v1 · doi: 10.48550/arxiv.1109.2871 · pith_short_12: D2K6D57LPW2E · pith_short_16: D2K6D57LPW2EPV3J · pith_short_8: D2K6D57L
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/D2K6D57LPW2EPV3JPIB3CUVL4N \
  | 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: 1e95e1f7eb7db447d7697a03b152abe352d409a226adf19dcd4579aeed6a7694
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8481eee8f17754d912213b6a744ba49fb3cefbb5357881614c6c896cfcd513d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-09-13T18:08:07Z",
    "title_canon_sha256": "247854829025709c4f927da90349a28a5ff4d0ed9da3388548aa9ba04e813de1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2871",
    "kind": "arxiv",
    "version": 1
  }
}