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Pith Number

pith:IIERJVLM

pith:2011:IIERJVLMBQXXY2UDTXOKJWXN7E
not attested not anchored not stored refs pending

A Gallavotti-Cohen-Evans-Morriss like symmetry for a class of Markov jump processes

Andre Cardoso Barato, David Mukamel, Haye Hinrichsen, Raphael Chetrite

arxiv:1109.2517 v2 · 2011-09-12 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IIERJVLMBQXXY2UDTXOKJWXN7E}

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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 2026-05-18T04:05:03.645839Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

420914d56c0c2f7c6a839ddca4daedf9021a61349e774d0d1c4fe71ab4ee9d68

Aliases

arxiv: 1109.2517 · arxiv_version: 1109.2517v2 · doi: 10.48550/arxiv.1109.2517 · pith_short_12: IIERJVLMBQXX · pith_short_16: IIERJVLMBQXXY2UD · pith_short_8: IIERJVLM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IIERJVLMBQXXY2UDTXOKJWXN7E \
  | 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: 420914d56c0c2f7c6a839ddca4daedf9021a61349e774d0d1c4fe71ab4ee9d68
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6ed7759de3281ea90d0f884844c606b869bf3d351b4d3732298a2336ff3ff7db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-09-12T16:06:57Z",
    "title_canon_sha256": "02b3f1de67261bda7067bf6d0470768998843e14a6f17d8c7e085da376b0a532"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2517",
    "kind": "arxiv",
    "version": 2
  }
}