Pith Number

pith:3EI3TYEP

pith:2025:3EI3TYEPKAKAADWE5IFXSOHPHA

not attested not anchored not stored refs pending

$(H,H^3)$-smoothing effect and convergence of solutions of stochastic two-dimensional anisotropic Navier-Stokes equations driven by colored noise

Chengfeng Sun, Dong Su, Hui Liu, Jie Xin

arxiv:2508.16938 v1 · 2025-08-23 · math.AP · 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{3EI3TYEPKAKAADWE5IFXSOHPHA}

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	2026-07-05T11:58:06.747577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d911b9e08f5014000ec4ea0b7938ef381e2b4391f91d183a0dcc3bff95b4cee2

Aliases

arxiv: 2508.16938 · arxiv_version: 2508.16938v1 · doi: 10.48550/arxiv.2508.16938 · pith_short_12: 3EI3TYEPKAKA · pith_short_16: 3EI3TYEPKAKAADWE · pith_short_8: 3EI3TYEP

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/3EI3TYEPKAKAADWE5IFXSOHPHA \
  | 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: d911b9e08f5014000ec4ea0b7938ef381e2b4391f91d183a0dcc3bff95b4cee2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e5e246cdf60f7fd98c5ae5d820c2145a182f86ae4bc1658aa51b91373cdfe5a",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-08-23T08:10:10Z",
    "title_canon_sha256": "0cd002efc2897ce83dbfed1bb0663b6c20c8d2b11621a72364f9c53a613f8f1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.16938",
    "kind": "arxiv",
    "version": 1
  }
}