Pith Number

pith:OZ7HCFOI

pith:2014:OZ7HCFOIX7H75WGB6WNRDVXHTW

not attested not anchored not stored refs pending

Approximating three-dimensional Navier-Stokes equations driven by space-time white noise

Rongchan Zhu, Xiangchan Zhu

arxiv:1409.4864 v1 · 2014-09-17 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OZ7HCFOIX7H75WGB6WNRDVXHTW}

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	2026-05-18T02:42:38.534212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

767e7115c8bfcffed8c1f59b11d6e79d9e1041b9135a9c28c37ead505182b1ff

Aliases

arxiv: 1409.4864 · arxiv_version: 1409.4864v1 · doi: 10.48550/arxiv.1409.4864 · pith_short_12: OZ7HCFOIX7H7 · pith_short_16: OZ7HCFOIX7H75WGB · pith_short_8: OZ7HCFOI

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/OZ7HCFOIX7H75WGB6WNRDVXHTW \
  | 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: 767e7115c8bfcffed8c1f59b11d6e79d9e1041b9135a9c28c37ead505182b1ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32d298f33681685aff749743ba9acffc3f13aeb0f0c107b30f8d0f4efdee0140",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-09-17T04:21:58Z",
    "title_canon_sha256": "0c803ae4b8673e71c6ec17d53d7de3087bc34f04a0441f4e4a47b2f3d922f4ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4864",
    "kind": "arxiv",
    "version": 1
  }
}