Pith Number

pith:WYS3Q27T

pith:2015:WYS3Q27TDYTJNQCHQQZ7VNVPHW

not attested not anchored not stored refs pending

Large Prandtl Number Asymptotics in Randomly Forced Turbulent Convection

Geordie Richards, Juraj Foldes, Nathan Glatt-Holtz

arxiv:1504.02904 v2 · 2015-04-11 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WYS3Q27TDYTJNQCHQQZ7VNVPHW}

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	2026-05-18T00:13:55.499230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b625b86bf31e2696c0478433fab6af3da03bd222d3121df1af4c63c3de1f37a8

Aliases

arxiv: 1504.02904 · arxiv_version: 1504.02904v2 · doi: 10.48550/arxiv.1504.02904 · pith_short_12: WYS3Q27TDYTJ · pith_short_16: WYS3Q27TDYTJNQCH · pith_short_8: WYS3Q27T

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/WYS3Q27TDYTJNQCHQQZ7VNVPHW \
  | 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: b625b86bf31e2696c0478433fab6af3da03bd222d3121df1af4c63c3de1f37a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5b5a44f2e0c0f77070b663e8acea404913a423c7402337fa512a8b213b5113d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-11T18:19:23Z",
    "title_canon_sha256": "5d58dddeddedd57e96924a44c6f8db8ac057cc895f9166fd99079a14446be3d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02904",
    "kind": "arxiv",
    "version": 2
  }
}