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Pith Number

pith:D34TUSJU

pith:2011:D34TUSJU2TXS5PMF6AOF5TUWNO
not attested not anchored not stored refs pending

Finite-size effects lead to supercritical bifurcations in turbulent rotating Rayleigh-B\'enard convection

Detlef Lohse, Guenter Ahlers, Herman J.H. Clercx, Jin-Qiang Zhong, Richard J.A.M. Stevens, Stephan Weiss

arxiv:1109.6869 v1 · 2011-09-30 · physics.flu-dyn

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{D34TUSJU2TXS5PMF6AOF5TUWNO}

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 2026-05-18T04:11:52.350590Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1ef93a4934d4ef2ebd85f01c5ece966bbebcd8ae8e22f6492a78871167ffe238

Aliases

arxiv: 1109.6869 · arxiv_version: 1109.6869v1 · doi: 10.48550/arxiv.1109.6869 · pith_short_12: D34TUSJU2TXS · pith_short_16: D34TUSJU2TXS5PMF · pith_short_8: D34TUSJU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/D34TUSJU2TXS5PMF6AOF5TUWNO \
  | 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: 1ef93a4934d4ef2ebd85f01c5ece966bbebcd8ae8e22f6492a78871167ffe238
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "185310b4c9ec1bede349ff44165fde7571c0126d752215b2dacd017683abceaf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2011-09-30T15:58:19Z",
    "title_canon_sha256": "3794ddfc9cb652f2113b061dcb4b42177e218aa66d88781c34eb76d0e855d20c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6869",
    "kind": "arxiv",
    "version": 1
  }
}