Pith Number

pith:5JM2SQ5O

pith:2001:5JM2SQ5OH4M3VOIYJPM5VC3USV

not attested not anchored not stored refs pending

Probabilistic Dynamics of Two-Layer Geophysical Flows

Bjorn Schmalfuss, Igor Chueshov, Jinqiao Duan

arxiv:math/0104143 v1 · 2001-04-12 · math.AP · cond-mat.stat-mech · math-ph · math.DS · math.MP · math.PR · nlin.CD · physics.ao-ph · physics.data-an · 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{5JM2SQ5OH4M3VOIYJPM5VC3USV}

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	2026-05-18T01:05:37.828892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea59a943ae3f19bab9184bd9da8b7495541b3a7a79eaba69b5206058dbed1638

Aliases

arxiv: math/0104143 · arxiv_version: math/0104143v1 · doi: 10.48550/arxiv.math/0104143 · pith_short_12: 5JM2SQ5OH4M3 · pith_short_16: 5JM2SQ5OH4M3VOIY · pith_short_8: 5JM2SQ5O

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/5JM2SQ5OH4M3VOIYJPM5VC3USV \
  | 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: ea59a943ae3f19bab9184bd9da8b7495541b3a7a79eaba69b5206058dbed1638

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07b62aa99f63d7f0f5f164d2baa3efe24c2dbef21440164dfbb4c15751fbc8fe",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.DS",
      "math.MP",
      "math.PR",
      "nlin.CD",
      "physics.ao-ph",
      "physics.data-an",
      "physics.flu-dyn"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2001-04-12T16:46:51Z",
    "title_canon_sha256": "8f513c2e6da5fa208315bc54023a494fe9d15991665469c5e0dd4293c2ee535a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0104143",
    "kind": "arxiv",
    "version": 1
  }
}