Pith Number

pith:5LP3B734

pith:2009:5LP3B734354Q3EEZCTOKAXN5AT

not attested not anchored not stored refs pending

Optimal Prandtl number for heat transfer in rotating Rayleigh-Benard convection

Detlef Lohse, Herman J.H. Clercx, Richard J.A.M. Stevens

arxiv:0912.0816 v1 · 2009-12-04 · physics.flu-dyn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5LP3B734354Q3EEZCTOKAXN5AT}

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	2026-05-18T04:07:16.111764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eadfb0ff7cdf790d909914dca05dbd04c86779c6213c19e12ed460b4d2ab7090

Aliases

arxiv: 0912.0816 · arxiv_version: 0912.0816v1 · doi: 10.48550/arxiv.0912.0816 · pith_short_12: 5LP3B734354Q · pith_short_16: 5LP3B734354Q3EEZ · pith_short_8: 5LP3B734

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/5LP3B734354Q3EEZCTOKAXN5AT \
  | 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: eadfb0ff7cdf790d909914dca05dbd04c86779c6213c19e12ed460b4d2ab7090

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c4552bf7696f00686c3416cf7cd275a03eeda58428e509b708be40b181568e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2009-12-04T11:07:39Z",
    "title_canon_sha256": "89a6bf27e8f4eeabf04643de0afd8a101413ab8d50446e5bf42ffa064bd5eca3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0816",
    "kind": "arxiv",
    "version": 1
  }
}