Pith Number

pith:SPTF46ZX

pith:2008:SPTF46ZXXZB6PSTC6J4MC2QWXL

not attested not anchored not stored refs pending

Prandtl-, Rayleigh-, and Rossby-number dependence of heat transport in turbulent rotating Rayleigh-Benard convection

3), Detlef Lohse (2), Guenter Ahlers (1), Herman J.H. Clercx (2, Jin-Qiang Zhong (1), Richard J.A.M. Stevens (2), Roberto Verzicco (4)

arxiv:0811.0462 v1 · 2008-11-04 · 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{SPTF46ZXXZB6PSTC6J4MC2QWXL}

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	2026-05-18T04:07:16.222033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93e65e7b37be43e7ca62f278c16a16bafe33ff286289f3b7f7cbfc9fce5de16a

Aliases

arxiv: 0811.0462 · arxiv_version: 0811.0462v1 · doi: 10.48550/arxiv.0811.0462 · pith_short_12: SPTF46ZXXZB6 · pith_short_16: SPTF46ZXXZB6PSTC · pith_short_8: SPTF46ZX

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/SPTF46ZXXZB6PSTC6J4MC2QWXL \
  | 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: 93e65e7b37be43e7ca62f278c16a16bafe33ff286289f3b7f7cbfc9fce5de16a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfa719bf76d805c13f606b22e05a0764b6221950778082c372ce198df0aa525e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2008-11-04T10:07:23Z",
    "title_canon_sha256": "1ae3a3fcc1751eb7de8965f4aac0512f3563786308c867511a7d2aa6e6280893"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.0462",
    "kind": "arxiv",
    "version": 1
  }
}