Pith Number

pith:JRD7C6IP

pith:2010:JRD7C6IPNNZPMJFC7B5LSY3FZM

not attested not anchored not stored refs pending

Navier-Stokes equations on the $\beta$-plane

Djoko Wirosoetisno, Mustafa Al-Jaboori

arxiv:1009.4538 v1 · 2010-09-23 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JRD7C6IPNNZPMJFC7B5LSY3FZM}

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	2026-05-18T04:40:30.198563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c47f1790f6b72f624a2f87ab96365cb343ed87a9d1e3105f3c22cb57a3a44d9

Aliases

arxiv: 1009.4538 · arxiv_version: 1009.4538v1 · doi: 10.48550/arxiv.1009.4538 · pith_short_12: JRD7C6IPNNZP · pith_short_16: JRD7C6IPNNZPMJFC · pith_short_8: JRD7C6IP

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/JRD7C6IPNNZPMJFC7B5LSY3FZM \
  | 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: 4c47f1790f6b72f624a2f87ab96365cb343ed87a9d1e3105f3c22cb57a3a44d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d6abb82688c9a240585ee818b2b94169fef1f922fe8a219f90f72c1796e9b68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-23T08:13:28Z",
    "title_canon_sha256": "e92127d313b300e96859a2e98932d203692ace363da3ff1c144643614a238439"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4538",
    "kind": "arxiv",
    "version": 1
  }
}