Pith Number

pith:BUQ23CNI

pith:2026:BUQ23CNIA3OXZDOKB4V6722ODJ

not attested not anchored not stored refs pending

Strong averaging principle for multiscale time-inhomogeneous SDEs with multiplicative $\alpha$-stable noises

Huaizhong Zhao, Jiaquan Lu

arxiv:2608.06011 v1 · 2026-08-06 · 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{BUQ23CNIA3OXZDOKB4V6722ODJ}

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	2026-08-07T00:54:59.581978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d21ad89a806dd7c8dca0f2befeb4e1a72bf7cb5b715d35ec38b206a46d77627

Aliases

arxiv: 2608.06011 · arxiv_version: 2608.06011v1 · doi: 10.48550/arxiv.2608.06011 · pith_short_12: BUQ23CNIA3OX · pith_short_16: BUQ23CNIA3OXZDOK · pith_short_8: BUQ23CNI

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/BUQ23CNIA3OXZDOKB4V6722ODJ \
  | 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: 0d21ad89a806dd7c8dca0f2befeb4e1a72bf7cb5b715d35ec38b206a46d77627

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "707f3ef900d05122d835fa153369c981bbb3873e57e52b1849561bc8f5019aee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-08-06T13:15:33Z",
    "title_canon_sha256": "ddf71a134d30a5f3f5c85368f9decd13c16a2f91cd3aeaffaad81d7b2060b6c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06011",
    "kind": "arxiv",
    "version": 1
  }
}