Pith Number

pith:R43FOPAO

pith:2024:R43FOPAOGW5CPHBJBJFCB2UWRS

not attested not anchored not stored refs pending

Global existence of the stochastic Navier-Stokes equations in $L^3$ with small data

Fanhui Xu, Igor Kukavica

arxiv:2410.02919 v1 · 2024-10-03 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R43FOPAOGW5CPHBJBJFCB2UWRS}

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.

Cited by

1 paper in Pith

Delayed blow-up by transport noise for the 3D Navier-Stokes equation with Navier-slip boundary conditions

Receipt and verification

First computed	2026-07-05T09:15:41.427798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f36573c0e35ba279c290a4a20ea968cba8137d53b3765f932bcc9d8d796dc4a

Aliases

arxiv: 2410.02919 · arxiv_version: 2410.02919v1 · doi: 10.48550/arxiv.2410.02919 · pith_short_12: R43FOPAOGW5C · pith_short_16: R43FOPAOGW5CPHBJ · pith_short_8: R43FOPAO

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/R43FOPAOGW5CPHBJBJFCB2UWRS \
  | 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: 8f36573c0e35ba279c290a4a20ea968cba8137d53b3765f932bcc9d8d796dc4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d8c92fb00704dd7d2b77628d8cd95d8bfe32b553c67be1307c9eac2cc8ed9d6",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-10-03T19:11:53Z",
    "title_canon_sha256": "fc0bf70ee8d6167c561263685d842e81201eb3479b898d24424d1ddb8dbe1646"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.02919",
    "kind": "arxiv",
    "version": 1
  }
}