pith. sign in
Pith Number

pith:2N2GGRDA

pith:2014:2N2GGRDAJ5SZ3G74JZLTJ2WM5W
not attested not anchored not stored refs pending

Turbulent Rayleigh-B\'enard convection described by projected dynamics in phase space

Detlef Lohse, Johannes L\"ulff, Michael Wilczek, Richard J.A.M. Stevens, Rudolf Friedrich

arxiv:1412.6299 v2 · 2014-12-19 · physics.flu-dyn

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2N2GGRDAJ5SZ3G74JZLTJ2WM5W}

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 2026-05-18T01:29:04.149448Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d3746344604f659d9bfc4e5734eacced94d6527269350ffa076362f81180d587

Aliases

arxiv: 1412.6299 · arxiv_version: 1412.6299v2 · doi: 10.48550/arxiv.1412.6299 · pith_short_12: 2N2GGRDAJ5SZ · pith_short_16: 2N2GGRDAJ5SZ3G74 · pith_short_8: 2N2GGRDA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2N2GGRDAJ5SZ3G74JZLTJ2WM5W \
  | 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: d3746344604f659d9bfc4e5734eacced94d6527269350ffa076362f81180d587
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "813a159f9f45412dbd7cf2abb1871357b297afb2605e665870898aebd0f8e630",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2014-12-19T11:42:10Z",
    "title_canon_sha256": "3bc81c7e8ec583765ca94ab4884d71fb776319da78b1c508e07d0dd1870d85d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6299",
    "kind": "arxiv",
    "version": 2
  }
}