Pith Number

pith:2CRWIW2B

pith:2019:2CRWIW2BAO2XML5CRBVVUT2SFU

not attested not anchored not stored refs pending

Stochastic Lagrangian Flows for SDEs with rough coefficients

Guohuan Zhao

arxiv:1911.05562 v4 · 2019-11-13 · 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{2CRWIW2BAO2XML5CRBVVUT2SFU}

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.

Cited by

1 paper in Pith

Stochastic It\^o Equations and Parabolic Second-Order Equations with singular Drift

Receipt and verification

First computed	2026-07-05T10:56:03.091090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0a3645b4103b5762fa2886b5a4f522d2ea352255fedaa564f279c24c8920cc8

Aliases

arxiv: 1911.05562 · arxiv_version: 1911.05562v4 · doi: 10.48550/arxiv.1911.05562 · pith_short_12: 2CRWIW2BAO2X · pith_short_16: 2CRWIW2BAO2XML5C · pith_short_8: 2CRWIW2B

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/2CRWIW2BAO2XML5CRBVVUT2SFU \
  | 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: d0a3645b4103b5762fa2886b5a4f522d2ea352255fedaa564f279c24c8920cc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c342f0e757d99cf7a83c544a39ac7a0cb9a8b3d6bacbbe719ce2a8ababdec285",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-11-13T15:49:55Z",
    "title_canon_sha256": "33697769f8190e388fb74dfaccadd9886d08a4b374943d204eb93887aae8383e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.05562",
    "kind": "arxiv",
    "version": 4
  }
}