Pith Number

pith:OYGDSGAU

pith:2021:OYGDSGAUMLVHUMRSHZ3HO3BEJK

not attested not anchored not stored refs pending

Non-uniqueness in law of three-dimensional Navier-Stokes equations diffused via a fractional Laplacian with power less than one half

Kazuo Yamazaki

arxiv:2104.10294 v1 · 2021-04-21 · math.PR · math.AP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OYGDSGAUMLVHUMRSHZ3HO3BEJK}

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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

Non-uniqueness of Leray--Hopf solutions for the $3D$ fractional Navier--Stokes equations perturbed by transport noise

Receipt and verification

First computed	2026-07-05T02:34:00.796369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

760c39181462ea7a32323e76776c244a8a325802ebaca1b921c2fb8ae620f61f

Aliases

arxiv: 2104.10294 · arxiv_version: 2104.10294v1 · doi: 10.48550/arxiv.2104.10294 · pith_short_12: OYGDSGAUMLVH · pith_short_16: OYGDSGAUMLVHUMRS · pith_short_8: OYGDSGAU

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/OYGDSGAUMLVHUMRSHZ3HO3BEJK \
  | 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: 760c39181462ea7a32323e76776c244a8a325802ebaca1b921c2fb8ae620f61f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb76cb9edb0225f4f2edcbcd8ca1da648121dcc114b55a9c7c5dc8dd9a5a0e51",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-04-21T00:40:52Z",
    "title_canon_sha256": "8bf714d10090c131cddc8b0a635f2ed6112e3ac63d0c3cf706b5c83819596a55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.10294",
    "kind": "arxiv",
    "version": 1
  }
}