Pith Number

pith:E25VZQRE

pith:2024:E25VZQREZ32NUY2D3PHVRVVSST

not attested not anchored not stored refs pending

Martingale Suitable Weak Solutions of $3$-D Stochastic Navier-Stokes Equations with Vorticity Bounds

Weiquan Chen, Zhao Dong

arxiv:2402.11482 v3 · 2024-02-18 · math.PR · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E25VZQREZ32NUY2D3PHVRVVSST}

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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

High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations

Receipt and verification

First computed	2026-07-05T10:59:57.295466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26bb5cc224cef4da6343dbcf58d6b294d5612ab23d05531242e33636a5a5d000

Aliases

arxiv: 2402.11482 · arxiv_version: 2402.11482v3 · doi: 10.48550/arxiv.2402.11482 · pith_short_12: E25VZQREZ32N · pith_short_16: E25VZQREZ32NUY2D · pith_short_8: E25VZQRE

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/E25VZQREZ32NUY2D3PHVRVVSST \
  | 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: 26bb5cc224cef4da6343dbcf58d6b294d5612ab23d05531242e33636a5a5d000

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48f69c1862521c1096c02a8cdf2382fa8a0f2dcc3c31f6ddf2a8376d360217de",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-02-18T07:13:31Z",
    "title_canon_sha256": "0ecb650082486a1c33b0d7259004ab2fb79c325fdf6868ea49f615273aef2a8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.11482",
    "kind": "arxiv",
    "version": 3
  }
}