Pith Number

pith:VXOQP77C

pith:2024:VXOQP77CMKCU5BFPF2DCUQUJI5

not attested not anchored not stored refs pending

Exponential scalar mixing for the 2D Navier-Stokes equations with degenerate stochastic forcing

Keefer Rowan, William Cooperman

arxiv:2408.02459 v1 · 2024-08-05 · math.AP · math.DS · 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{VXOQP77CMKCU5BFPF2DCUQUJI5}

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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

2 papers in Pith

Ergodicity and mixing for locally monotone stochastic evolution equations

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

Receipt and verification

First computed	2026-07-05T08:52:13.079325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

addd07ffe262854e84af2e862a4289474f63f1af418c235b4e3031777e49e3d1

Aliases

arxiv: 2408.02459 · arxiv_version: 2408.02459v1 · doi: 10.48550/arxiv.2408.02459 · pith_short_12: VXOQP77CMKCU · pith_short_16: VXOQP77CMKCU5BFP · pith_short_8: VXOQP77C

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/VXOQP77CMKCU5BFPF2DCUQUJI5 \
  | 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: addd07ffe262854e84af2e862a4289474f63f1af418c235b4e3031777e49e3d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5f556a66fd1cc8006fc59ddfd2c877a2dfd0cdeddd4c934a5f787fe2d5a7b59",
    "cross_cats_sorted": [
      "math.DS",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-08-05T13:33:30Z",
    "title_canon_sha256": "a6bc160c0eb9d8040952569a6ae650eb69e1121662c9e7dcc3ef8f35fa08ec4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.02459",
    "kind": "arxiv",
    "version": 1
  }
}