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Pith Number

pith:T7N6UPAA

pith:2010:T7N6UPAAZP5U5WSVYXA5IWQIMJ
not attested not anchored not stored refs pending

Solvable phase diagrams and ensemble inequivalence for two-dimensional and geophysical turbulent flows

Antoine Venaille, Freddy Bouchet (Phys-ENS)

arxiv:1011.2309 v2 · 2010-11-10 · physics.flu-dyn

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{T7N6UPAAZP5U5WSVYXA5IWQIMJ}

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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 2026-05-18T02:04:49.429942Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9fdbea3c00cbfb4eda55c5c1d45a086259d84738f882c458315d36560cc9d47f

Aliases

arxiv: 1011.2309 · arxiv_version: 1011.2309v2 · doi: 10.48550/arxiv.1011.2309 · pith_short_12: T7N6UPAAZP5U · pith_short_16: T7N6UPAAZP5U5WSV · pith_short_8: T7N6UPAA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/T7N6UPAAZP5U5WSVYXA5IWQIMJ \
  | 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: 9fdbea3c00cbfb4eda55c5c1d45a086259d84738f882c458315d36560cc9d47f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0ddba625c185c549f459991faff76dae832f2fc27cb46851247eeea71177dd4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2010-11-10T08:29:37Z",
    "title_canon_sha256": "77b4de5537442b7090a720c28f59df927efccde2844f3e769ffe8d2763b9046a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2309",
    "kind": "arxiv",
    "version": 2
  }
}