Pith Number

pith:WB4ZMVKO

pith:2019:WB4ZMVKOPVP4C3RL6U44VXCQBD

not attested not anchored not stored refs pending

Well-posedness and large deviations for 2-D Stochastic Navier-Stokes equations with jumps

Jianliang Zhai, Xuhui Peng, Zdzislaw Brzezniak

arxiv:1908.06228 v3 · 2019-08-17 · 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{WB4ZMVKOPVP4C3RL6U44VXCQBD}

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	2026-07-05T03:19:58.105880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b07996554e7d5fc16e2bf539cadc5008fb05a07d77dfd0dc36194b87dafb16d9

Aliases

arxiv: 1908.06228 · arxiv_version: 1908.06228v3 · doi: 10.48550/arxiv.1908.06228 · pith_short_12: WB4ZMVKOPVP4 · pith_short_16: WB4ZMVKOPVP4C3RL · pith_short_8: WB4ZMVKO

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/WB4ZMVKOPVP4C3RL6U44VXCQBD \
  | 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: b07996554e7d5fc16e2bf539cadc5008fb05a07d77dfd0dc36194b87dafb16d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "728a5e7f67731feab3ca87da02eed8c262cc45873e6fec2cb263bfd48541a57d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-17T02:52:05Z",
    "title_canon_sha256": "aa074bc663d3134de85313f50b0d70bc984a7c6855a3c2db5b623b246e7c743c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06228",
    "kind": "arxiv",
    "version": 3
  }
}