Pith Number

pith:CM3S6OEI

pith:2015:CM3S6OEIMR6SXABSRI4O5FGDIG

not attested not anchored not stored refs pending

Large deviations principle for the invariant measures of the 2D stochastic Navier-Stokes equations on a torus

Sandra Cerrai, Zdzislaw Brzezniak

arxiv:1509.00077 v1 · 2015-08-31 · 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{CM3S6OEIMR6SXABSRI4O5FGDIG}

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	2026-05-18T01:34:30.670953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13372f3888647d2b80328a38ee94c341bc4a135b20e016f2845da03b74e98162

Aliases

arxiv: 1509.00077 · arxiv_version: 1509.00077v1 · doi: 10.48550/arxiv.1509.00077 · pith_short_12: CM3S6OEIMR6S · pith_short_16: CM3S6OEIMR6SXABS · pith_short_8: CM3S6OEI

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/CM3S6OEIMR6SXABSRI4O5FGDIG \
  | 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: 13372f3888647d2b80328a38ee94c341bc4a135b20e016f2845da03b74e98162

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8454ac042820b7dcfe492fe00f61d32f7b466702ee974d1322e2c1ea2230d29e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-31T21:20:42Z",
    "title_canon_sha256": "b1b62476a9e42b4a53b6051c8da51a738420ad2de7d30473a992864529ca990b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00077",
    "kind": "arxiv",
    "version": 1
  }
}