Pith Number

pith:WC2AUG3X

pith:2018:WC2AUG3XHFUCTOA7EJOSOTVHN3

not attested not anchored not stored refs pending

Martingale solutions for the three-dimensional stochastic nonhomogeneous incompressible Navier-Stokes equations driven by Levy processes

Dehua Wang, Huaqiao Wang, Robin Ming Chen

arxiv:1801.06696 v1 · 2018-01-20 · math.AP · 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{WC2AUG3XHFUCTOA7EJOSOTVHN3}

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	2026-05-18T00:25:28.005282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0b40a1b77396829b81f225d274ea76ede51884cbbc6111d456d68608bd2222b

Aliases

arxiv: 1801.06696 · arxiv_version: 1801.06696v1 · doi: 10.48550/arxiv.1801.06696 · pith_short_12: WC2AUG3XHFUC · pith_short_16: WC2AUG3XHFUCTOA7 · pith_short_8: WC2AUG3X

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/WC2AUG3XHFUCTOA7EJOSOTVHN3 \
  | 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: b0b40a1b77396829b81f225d274ea76ede51884cbbc6111d456d68608bd2222b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "628e85e22155b75ed59dc0a55b95c245df86d633b1843ac628bc7940771a8861",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-01-20T16:13:23Z",
    "title_canon_sha256": "5aa96db8897ffcc069cfb715a411218974699391eddda2853a01afb00ec34df3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06696",
    "kind": "arxiv",
    "version": 1
  }
}