Pith Number

pith:JRPLCVAY

pith:2017:JRPLCVAYSQDBYL3FWH4QR7OFZD

not attested not anchored not stored refs pending

Stochastic Navier-Stokes equations with Caputo derivative driven by fractional noises

Guang-an Zou, Guangying Lv, Jiang-Lun Wu

arxiv:1709.05028 v1 · 2017-09-15 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JRPLCVAYSQDBYL3FWH4QR7OFZD}

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	2026-05-18T00:35:06.910991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c5eb1541894061c2f65b1f908fdc5c8ff8774074421503dbd565342f718df94

Aliases

arxiv: 1709.05028 · arxiv_version: 1709.05028v1 · doi: 10.48550/arxiv.1709.05028 · pith_short_12: JRPLCVAYSQDB · pith_short_16: JRPLCVAYSQDBYL3F · pith_short_8: JRPLCVAY

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/JRPLCVAYSQDBYL3FWH4QR7OFZD \
  | 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: 4c5eb1541894061c2f65b1f908fdc5c8ff8774074421503dbd565342f718df94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "650155d9f273f729cde47b90631e3cbf0661bb82cd711ee997402d54fbda219a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-09-15T01:19:42Z",
    "title_canon_sha256": "c427a4c3029641fa84dcf98219f94fef1c6e8243648fadeda3e56cb291394802"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05028",
    "kind": "arxiv",
    "version": 1
  }
}