Pith Number

pith:XQAIZZ3E

pith:2020:XQAIZZ3EI3ANWBDIAKBPU6NTTF

not attested not anchored not stored refs pending

Strong averaging principle for a class of slow-fast singular SPDEs driven by $\alpha$-stable process

Huilian Xia, Xiaobin Sun, Xingcheng Zhou, Yingchao Xie

arxiv:2011.11988 v2 · 2020-11-24 · 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{XQAIZZ3EI3ANWBDIAKBPU6NTTF}

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	2026-07-05T02:38:31.349116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc008ce76446c0db04680282fa79b39941d5d0aaecab307162fc00117ed047c6

Aliases

arxiv: 2011.11988 · arxiv_version: 2011.11988v2 · doi: 10.48550/arxiv.2011.11988 · pith_short_12: XQAIZZ3EI3AN · pith_short_16: XQAIZZ3EI3ANWBDI · pith_short_8: XQAIZZ3E

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/XQAIZZ3EI3ANWBDIAKBPU6NTTF \
  | 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: bc008ce76446c0db04680282fa79b39941d5d0aaecab307162fc00117ed047c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8642dcad4e8c98a8ac781c84607adab4f6abf3e465509664d9a34b63b701b21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-11-24T09:38:27Z",
    "title_canon_sha256": "195922034cdacc73b768f739979456a640effd12d62fabee37c34bd2794a12ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.11988",
    "kind": "arxiv",
    "version": 2
  }
}