Pith Number

pith:WDQBG4NG

pith:2021:WDQBG4NGBUZNZFJU6CWENKFPJQ

not attested not anchored not stored refs pending

Boundary layers in turbulent vertical convection at high Prandtl number

Chong Shen Ng, Christopher J. Howland, Detlef Lohse, Roberto Verzicco

arxiv:2105.08407 v2 · 2021-05-18 · 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{WDQBG4NGBUZNZFJU6CWENKFPJQ}

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	2026-07-05T06:22:55.862108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0e01371a60d32dc9534f0ac46a8af4c38850db154ddebd5f8e37f8548fea3be

Aliases

arxiv: 2105.08407 · arxiv_version: 2105.08407v2 · doi: 10.48550/arxiv.2105.08407 · pith_short_12: WDQBG4NGBUZN · pith_short_16: WDQBG4NGBUZNZFJU · pith_short_8: WDQBG4NG

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/WDQBG4NGBUZNZFJU6CWENKFPJQ \
  | 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: b0e01371a60d32dc9534f0ac46a8af4c38850db154ddebd5f8e37f8548fea3be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58ec0629cd40ef977ab6ed84d8cfa5e40e1705358c697faa22abe623846eff1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2021-05-18T09:59:41Z",
    "title_canon_sha256": "0144684f4f2edac5002f23d4b3ae49aa291ca2ad1c81c0292ff8536f22242bf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.08407",
    "kind": "arxiv",
    "version": 2
  }
}