Pith Number

pith:KHUB7OME

pith:2025:KHUB7OMEPFR2IP5OV6QN5RRJBV

not attested not anchored not stored refs pending

Regularity of random attractor and fractal dimension of fractional stochastic Navier-Stokes equations on three-dimensional torus

Chengfeng Sun, Hui Liu, Jie Xin

arxiv:2506.18480 v1 · 2025-06-23 · 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{KHUB7OMEPFR2IP5OV6QN5RRJBV}

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	2026-07-05T11:25:50.876497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51e81fb9847963a43faeafa0dec6290d5b2c04b24458bbdc76db93636046a401

Aliases

arxiv: 2506.18480 · arxiv_version: 2506.18480v1 · doi: 10.48550/arxiv.2506.18480 · pith_short_12: KHUB7OMEPFR2 · pith_short_16: KHUB7OMEPFR2IP5O · pith_short_8: KHUB7OME

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/KHUB7OMEPFR2IP5OV6QN5RRJBV \
  | 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: 51e81fb9847963a43faeafa0dec6290d5b2c04b24458bbdc76db93636046a401

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f89f691ae84000bfce2a968f17fdb9018924696acf05db03f7d13c6434a3da3",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-23T10:28:46Z",
    "title_canon_sha256": "58f3a3a5982c1eadb15e97477acc8fa31aa09d21c16c738e3e1a5c50c73a3b1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.18480",
    "kind": "arxiv",
    "version": 1
  }
}