Pith Number

pith:SA5SLUXY

pith:2021:SA5SLUXYQNLALNTFD72T5RAOIM

not attested not anchored not stored refs pending

The stochastic primitive equations with transport noise and turbulent pressure

Amru Hussein, Antonio Agresti, Martin Saal, Matthias Hieber

arxiv:2109.09561 v2 · 2021-09-20 · math.AP · math-ph · math.MP · 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{SA5SLUXYQNLALNTFD72T5RAOIM}

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	2026-07-05T05:09:49.026192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

903b25d2f8835605b6651ff53ec40e4334bd225610663866d0ad999a11197910

Aliases

arxiv: 2109.09561 · arxiv_version: 2109.09561v2 · doi: 10.48550/arxiv.2109.09561 · pith_short_12: SA5SLUXYQNLA · pith_short_16: SA5SLUXYQNLALNTF · pith_short_8: SA5SLUXY

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/SA5SLUXYQNLALNTFD72T5RAOIM \
  | 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: 903b25d2f8835605b6651ff53ec40e4334bd225610663866d0ad999a11197910

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa8496ce6aefecbf84516fd48155d7993765e883fdd382f06d38cbf66b9ec693",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-09-20T14:18:26Z",
    "title_canon_sha256": "a6a103b49152ce04591d6816551168d3206e8ecb9d324a25ac6be60d136eb305"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.09561",
    "kind": "arxiv",
    "version": 2
  }
}