Pith Number

pith:KNVPFGZK

pith:2004:KNVPFGZK4HUCRI6S7N7LFFOBOH

not attested not anchored not stored refs pending

Uniqueness of solutions of the stochastic Navier-Stokes equation with invariant measure given by the enstrophy

B. Ferrario, S. Albeverio

arxiv:math/0410158 v1 · 2004-10-06 · 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{KNVPFGZK4HUCRI6S7N7LFFOBOH}

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.

Receipt and verification

First computed	2026-05-18T01:05:25.809377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

536af29b2ae1e828a3d2fb7eb295c171f75382496873bc5c33a9865e53d77ed5

Aliases

arxiv: math/0410158 · arxiv_version: math/0410158v1 · doi: 10.48550/arxiv.math/0410158 · pith_short_12: KNVPFGZK4HUC · pith_short_16: KNVPFGZK4HUCRI6S · pith_short_8: KNVPFGZK

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/KNVPFGZK4HUCRI6S7N7LFFOBOH \
  | 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: 536af29b2ae1e828a3d2fb7eb295c171f75382496873bc5c33a9865e53d77ed5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc48448e9f32be9e4ec5e53076ee5e3dfe6d47c072601f8c6295a2ae97b393d9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-10-06T12:42:44Z",
    "title_canon_sha256": "bd7f2d875163162e7067a23e75a6aa1bb12c7e23338e37a5eee7b993b22253ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410158",
    "kind": "arxiv",
    "version": 1
  }
}