Pith Number

pith:AMU633IY

pith:2022:AMU633IY3YKJE5IANUE2JBVBAA

not attested not anchored not stored refs pending

Non-unique ergodicity for deterministic and stochastic 3D Navier--Stokes and Euler equations

Martina Hofmanov\'a, Rongchan Zhu, Xiangchan Zhu

arxiv:2208.08290 v2 · 2022-08-17 · math.PR · math.AP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AMU633IY3YKJE5IANUE2JBVBAA}

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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	2026-07-05T08:45:19.919814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0329eded18de149275006d09a486a10001b08a24ca5fa7306d316fbc5535631c

Aliases

arxiv: 2208.08290 · arxiv_version: 2208.08290v2 · doi: 10.48550/arxiv.2208.08290 · pith_short_12: AMU633IY3YKJ · pith_short_16: AMU633IY3YKJE5IA · pith_short_8: AMU633IY

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/AMU633IY3YKJE5IANUE2JBVBAA \
  | 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: 0329eded18de149275006d09a486a10001b08a24ca5fa7306d316fbc5535631c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cdb0da209262d088e6879b71fee69f9abb272d3cb9d614a7c1729e2c8c7a23e",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-08-17T13:37:03Z",
    "title_canon_sha256": "2978eabdd6219018ce994714b8f5d86802c5e73dfd5f0140bf864f7821037d66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.08290",
    "kind": "arxiv",
    "version": 2
  }
}