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Pith Number

pith:LB7GONWQ

pith:2012:LB7GONWQUEW6OICKXOCNYANNHQ
not attested not anchored not stored refs pending

Sampling microcanonical measures of the 2D Euler equations through Creutz's algorithm: a phase transition from disorder to order when energy is increased

Freddy Bouchet, Max Potters, Timothee Vaillant

arxiv:1210.4351 v3 · 2012-10-16 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{LB7GONWQUEW6OICKXOCNYANNHQ}

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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 2026-05-18T01:53:54.448713Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

587e6736d0a12de7204abb84dc01ad3c267be938544ac103c6de69039c895476

Aliases

arxiv: 1210.4351 · arxiv_version: 1210.4351v3 · doi: 10.48550/arxiv.1210.4351 · pith_short_12: LB7GONWQUEW6 · pith_short_16: LB7GONWQUEW6OICK · pith_short_8: LB7GONWQ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/LB7GONWQUEW6OICKXOCNYANNHQ \
  | 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: 587e6736d0a12de7204abb84dc01ad3c267be938544ac103c6de69039c895476
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a1e2a27a5e6e0d82dc6bb46410c2a3dff440b94c732225e41a183447d3fa31ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-10-16T10:53:00Z",
    "title_canon_sha256": "aa912595fa6e356a7965e974be0420048e8a14ce782a7a901138ffc81172cf5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4351",
    "kind": "arxiv",
    "version": 3
  }
}