Pith Number

pith:E4NQOMIP

pith:2024:E4NQOMIP54Z3SE2KY7YCDQ5AES

not attested not anchored not stored refs pending

Ultimate regime of Rayleigh-Benard turbulence: Sub-regimes and their scaling relations for Nu vs. Ra and Pr

Detlef Lohse, Olga Shishkina

arxiv:2407.16573 v1 · 2024-07-23 · 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{E4NQOMIP54Z3SE2KY7YCDQ5AES}

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	2026-07-05T08:47:35.332235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

271b07310fef33b9134ac7f021c3a0249a335f8fb1c6502b29164a70b9435ab5

Aliases

arxiv: 2407.16573 · arxiv_version: 2407.16573v1 · doi: 10.48550/arxiv.2407.16573 · pith_short_12: E4NQOMIP54Z3 · pith_short_16: E4NQOMIP54Z3SE2K · pith_short_8: E4NQOMIP

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/E4NQOMIP54Z3SE2KY7YCDQ5AES \
  | 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: 271b07310fef33b9134ac7f021c3a0249a335f8fb1c6502b29164a70b9435ab5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fbfeb94e780b8df1d3c2aa26d45e2f133797837ecdf72e4209f00436676f338",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2024-07-23T15:27:26Z",
    "title_canon_sha256": "5b10693b4408460ac961bbbd8301c9a94ae01a3b2d09f86fc863872e6ae0c2d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.16573",
    "kind": "arxiv",
    "version": 1
  }
}