Pith Number

pith:QRA7T3QN

pith:2024:QRA7T3QNXHTTHEY356PS6PQL7M

not attested not anchored not stored refs pending

On the chaotic behavior of the Lagrangian flow of the 2D Navier-Stokes system with bounded degenerate noise

Chenwan Zhou, Deng Zhang, Vahagn Nersesyan

arxiv:2406.17612 v2 · 2024-06-25 · math.AP · math.DS · math.PR

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\usepackage{pith}
\pithnumber{QRA7T3QNXHTTHEY356PS6PQL7M}

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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

3 papers in Pith

Lagrangian chaos for the 2D Navier-Stokes equations driven by mildly degenerate noise

Exponential mixing for the stochastic Allen--Cahn equation with localized white noise

Exponential mixing for nonlinear Schr\"odinger equations perturbed by bounded degenerate noise

Receipt and verification

First computed	2026-07-05T09:35:50.057990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8441f9ee0db9e733931bef9f2f3e0bfb025c3775679a5e6aef0a28b3daa6ac09

Aliases

arxiv: 2406.17612 · arxiv_version: 2406.17612v2 · doi: 10.48550/arxiv.2406.17612 · pith_short_12: QRA7T3QNXHTT · pith_short_16: QRA7T3QNXHTTHEY3 · pith_short_8: QRA7T3QN

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/QRA7T3QNXHTTHEY356PS6PQL7M \
  | 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: 8441f9ee0db9e733931bef9f2f3e0bfb025c3775679a5e6aef0a28b3daa6ac09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8c11bbc5a954da83241473d094f72fdd6c62e8564961f124db30858a461b1e9",
    "cross_cats_sorted": [
      "math.DS",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-06-25T14:58:43Z",
    "title_canon_sha256": "0bb1eac16929a5b8717e8f894320e79499abe57109bb472b99d397f8caf23dfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.17612",
    "kind": "arxiv",
    "version": 2
  }
}