Pith Number

pith:SSCMUEF7

pith:2019:SSCMUEF7NROWLEIZIPV4WCIN3B

not attested not anchored not stored refs pending

Strong averaging principle for slow-fast stochastic partial differential equations with locally monotone coefficients

Michael R\"ockner, Wei Liu, Xiaobin Sun, Yingchao Xie

arxiv:1907.03260 v2 · 2019-07-07 · 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{SSCMUEF7NROWLEIZIPV4WCIN3B}

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	2026-07-05T00:03:16.244973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9484ca10bf6c5d65911943ebcb090dd874b5cffb25b67c103db77f807a6885dd

Aliases

arxiv: 1907.03260 · arxiv_version: 1907.03260v2 · doi: 10.48550/arxiv.1907.03260 · pith_short_12: SSCMUEF7NROW · pith_short_16: SSCMUEF7NROWLEIZ · pith_short_8: SSCMUEF7

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/SSCMUEF7NROWLEIZIPV4WCIN3B \
  | 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: 9484ca10bf6c5d65911943ebcb090dd874b5cffb25b67c103db77f807a6885dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b43e10f82937cb1dda0fae3c4a417464034872aa5edf9469c22fbf1f3270a43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-07-07T09:34:38Z",
    "title_canon_sha256": "32b0448d0127d7272551b319a04759aeb3bb25862afc165fd905b19760347ea2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03260",
    "kind": "arxiv",
    "version": 2
  }
}