Pith Number

pith:4YZNAHGR

pith:2015:4YZNAHGRRBY5QBBDDCIOXXLSAX

not attested not anchored not stored refs pending

A note on stochastic Navier-Stokes equations with not regular multiplicative noise

Benedetta Ferrario, Zdzislaw Brzezniak

arxiv:1510.03561 v1 · 2015-10-13 · 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{4YZNAHGRRBY5QBBDDCIOXXLSAX}

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	2026-05-18T01:30:16.812686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e632d01cd18871d804231890ebdd7205ebc9f70df5233dbab20a4f569b7dd849

Aliases

arxiv: 1510.03561 · arxiv_version: 1510.03561v1 · doi: 10.48550/arxiv.1510.03561 · pith_short_12: 4YZNAHGRRBY5 · pith_short_16: 4YZNAHGRRBY5QBBD · pith_short_8: 4YZNAHGR

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/4YZNAHGRRBY5QBBDDCIOXXLSAX \
  | 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: e632d01cd18871d804231890ebdd7205ebc9f70df5233dbab20a4f569b7dd849

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47fffc2192fbe04f536b4227b289ba0cd0a6ee8f5de614c956cb5897b1bf9ab7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-13T07:38:47Z",
    "title_canon_sha256": "fa868b928a1ef69e63840f606774c482cf47bb658c48795d86058a8c74e0fb9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03561",
    "kind": "arxiv",
    "version": 1
  }
}