Pith Number

pith:UKZL3MC3

pith:2010:UKZL3MC33OLUIFJN5BO5J4ONQJ

not attested not anchored not stored refs pending

Prandtl-Blasius temperature and velocity boundary layer profiles in turbulent Rayleigh-B\'{e}nard convection

Detlef Lohse, Kazuyasu Sugiyama, Ke-Qing Xia, Quan Zhou, Richard J. A. M. Stevens, Siegfried Grossmann

arxiv:1002.1339 v1 · 2010-02-06 · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UKZL3MC33OLUIFJN5BO5J4ONQJ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:07:16.069643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2b2bdb05bdb9744152de85dd4f1cd82756be3378d2db024deb2d8bcb84c7df2

Aliases

arxiv: 1002.1339 · arxiv_version: 1002.1339v1 · doi: 10.48550/arxiv.1002.1339 · pith_short_12: UKZL3MC33OLU · pith_short_16: UKZL3MC33OLUIFJN · pith_short_8: UKZL3MC3

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/UKZL3MC33OLUIFJN5BO5J4ONQJ \
  | 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: a2b2bdb05bdb9744152de85dd4f1cd82756be3378d2db024deb2d8bcb84c7df2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26b4c031e94dc0adc346ffb5c8dc92114b46869934687d33608f9b394a2cef8a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2010-02-06T01:17:19Z",
    "title_canon_sha256": "711fb6112f1b726f4665a321c2b74e9eddf7a01eb44ecbfc57736ba308355920"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1339",
    "kind": "arxiv",
    "version": 1
  }
}