Pith Number

pith:UVDNVYHU

pith:2004:UVDNVYHU7ZBQ3LPC5YUTK32LIO

not attested not anchored not stored refs pending

Ergodicity of the 2D Navier-Stokes Equations with Degenerate Stochastic Forcing

Jonathan C. Mattingly, Martin Hairer

arxiv:math/0406087 v3 · 2004-06-04 · math.PR · math-ph · math.AP · math.DS · math.MP · physics.flu-dyn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UVDNVYHU7ZBQ3LPC5YUTK32LIO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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

Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing

Receipt and verification

First computed	2026-07-04T15:52:41.118396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a546dae0f4fe430dade2ee29356f4b43b0aca0b3b6aac986b76bab58f1008711

Aliases

arxiv: math/0406087 · arxiv_version: math/0406087v3 · doi: 10.48550/arxiv.math/0406087 · pith_short_12: UVDNVYHU7ZBQ · pith_short_16: UVDNVYHU7ZBQ3LPC · pith_short_8: UVDNVYHU

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/UVDNVYHU7ZBQ3LPC5YUTK32LIO \
  | 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: a546dae0f4fe430dade2ee29356f4b43b0aca0b3b6aac986b76bab58f1008711

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cec560c9fa37308aea855d10285e3ece0a1812280b6916f41be1ef4064e7026",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.DS",
      "math.MP",
      "physics.flu-dyn"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-06-04T17:35:55Z",
    "title_canon_sha256": "d142a543e23acede088322b5da32f11f814b41f6cd85f0e53f380d6294bb8a72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406087",
    "kind": "arxiv",
    "version": 3
  }
}