Pith Number

pith:P4I5JIPS

pith:2024:P4I5JIPS3HTHX3GQDAMMPCMAUT

not attested not anchored not stored refs pending

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

Andre Schenke, Marco Rehmeier, Theresa Lange

arxiv:2412.16532 v1 · 2024-12-21 · math.AP · math-ph · math.MP · math.PR

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4I5JIPS3HTHX3GQDAMMPCMAUT}

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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 (Stochastic) Lagrangian Trajectories for Euler Equations

Receipt and verification

First computed	2026-07-05T09:52:49.141521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f11d4a1f2d9e67becd01818c78980a4f5c6fb8619d3accab0311c1fbdff045c

Aliases

arxiv: 2412.16532 · arxiv_version: 2412.16532v1 · doi: 10.48550/arxiv.2412.16532 · pith_short_12: P4I5JIPS3HTH · pith_short_16: P4I5JIPS3HTHX3GQ · pith_short_8: P4I5JIPS

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/P4I5JIPS3HTHX3GQDAMMPCMAUT \
  | 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: 7f11d4a1f2d9e67becd01818c78980a4f5c6fb8619d3accab0311c1fbdff045c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc79b23130972e93623279358419f149e5b1690ed90744aa580da24c44249889",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-21T08:19:14Z",
    "title_canon_sha256": "2d85c5c664fc868eae955df5f22bcbbfd02bbc154660fc6656da91fd0cb1c71a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.16532",
    "kind": "arxiv",
    "version": 1
  }
}