Pith Number

pith:CA56U3RW

pith:2015:CA56U3RWYQM56FBYZ34YBSXRCS

not attested not anchored not stored refs pending

Invariant measure for the stochastic Navier-Stokes equations in unbounded 2D domains

El\.zbieta Motyl, Martin Ondrejat, Zdzis{\l}aw Brze\'zniak

arxiv:1502.02637 v2 · 2015-02-09 · 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{CA56U3RWYQM56FBYZ34YBSXRCS}

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	2026-05-18T01:11:35.370194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

103bea6e36c419df1438cef980caf11497ce1d58de1faebc88da2d50b44414cb

Aliases

arxiv: 1502.02637 · arxiv_version: 1502.02637v2 · doi: 10.48550/arxiv.1502.02637 · pith_short_12: CA56U3RWYQM5 · pith_short_16: CA56U3RWYQM56FBY · pith_short_8: CA56U3RW

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/CA56U3RWYQM56FBYZ34YBSXRCS \
  | 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: 103bea6e36c419df1438cef980caf11497ce1d58de1faebc88da2d50b44414cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b58e0a408aad52600071f06949da7d5f90fe1fd1136624d93cfebd21f74fec89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-02-09T20:04:05Z",
    "title_canon_sha256": "d89a79e6585112efa1c2e21dd30bbf69360f34683bf2732a58890c2c58306504"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02637",
    "kind": "arxiv",
    "version": 2
  }
}