Pith Number

pith:LW4CSGME

pith:2012:LW4CSGMEKMRATTPEIS3XEEWYHK

not attested not anchored not stored refs pending

Long-time Behavior of a Two-layer Model of Baroclinic Quasi-geostrophic Turbulence

Aseel Farhat, Edriss S. Titi, Mohammed Ziane, R. Lee Panetta

arxiv:1203.5460 v2 · 2012-03-25 · math.AP · math-ph · math.MP · physics.ao-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LW4CSGMEKMRATTPEIS3XEEWYHK}

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	2026-05-18T01:58:02.188752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5db8291984532209cde444b77212d83aa41d1a5f517fa613a677ce294b59127a

Aliases

arxiv: 1203.5460 · arxiv_version: 1203.5460v2 · doi: 10.48550/arxiv.1203.5460 · pith_short_12: LW4CSGMEKMRA · pith_short_16: LW4CSGMEKMRATTPE · pith_short_8: LW4CSGME

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/LW4CSGMEKMRATTPEIS3XEEWYHK \
  | 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: 5db8291984532209cde444b77212d83aa41d1a5f517fa613a677ce294b59127a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff71127a8535ebac072db63347a45030d4470930836a62eb7dcaa1f2a9b6c307",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.ao-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-25T01:35:58Z",
    "title_canon_sha256": "e82f61ef8cb3d938f58bb6a86e2ac7935f4a90497676b6365f6c68f203faeb0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5460",
    "kind": "arxiv",
    "version": 2
  }
}