Pith Number

pith:6KCPSCGN

pith:2025:6KCPSCGNQBGQ2T6PGSE7SNKXOF

not attested not anchored not stored refs pending

Nonuniqueness in law of stochastic 3d navierstokes equations with general multiplicative noise

Huaxiang Lv, Yichun Zhu

arxiv:2505.07181 v1 · 2025-05-12 · 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{6KCPSCGNQBGQ2T6PGSE7SNKXOF}

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	2026-07-05T11:01:43.906010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f284f908cd804d0d4fcf3489f93557717fdc35057efaada176670563f615b5a8

Aliases

arxiv: 2505.07181 · arxiv_version: 2505.07181v1 · doi: 10.48550/arxiv.2505.07181 · pith_short_12: 6KCPSCGNQBGQ · pith_short_16: 6KCPSCGNQBGQ2T6P · pith_short_8: 6KCPSCGN

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/6KCPSCGNQBGQ2T6PGSE7SNKXOF \
  | 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: f284f908cd804d0d4fcf3489f93557717fdc35057efaada176670563f615b5a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a723b26fe4fa6a237208c5cccc4ce90767c41e92da713cfb12c4d7939b8b58d1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-05-12T02:14:28Z",
    "title_canon_sha256": "20a32f45edb6a71faaf6f2252aed3f48e5669a90267c32c37d486463bcba9ed7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.07181",
    "kind": "arxiv",
    "version": 1
  }
}