Pith Number

pith:PX7WBH5B

pith:2023:PX7WBH5B65XN5VCNJ2CAKZUPW3

not attested not anchored not stored refs pending

Large deviation principle for multi-scale distribution dependent stochastic differential equations driven by fractional Brownian motions

Shen Gunagjun, Wu Jianglun, Zhou Huan

arxiv:2306.02047 v1 · 2023-06-03 · 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{PX7WBH5B65XN5VCNJ2CAKZUPW3}

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	2026-07-05T06:19:04.906563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dff609fa1f76eded44d4e8405668fb6d550299c927070a71f90d1940f345045

Aliases

arxiv: 2306.02047 · arxiv_version: 2306.02047v1 · doi: 10.48550/arxiv.2306.02047 · pith_short_12: PX7WBH5B65XN · pith_short_16: PX7WBH5B65XN5VCN · pith_short_8: PX7WBH5B

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/PX7WBH5B65XN5VCNJ2CAKZUPW3 \
  | 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: 7dff609fa1f76eded44d4e8405668fb6d550299c927070a71f90d1940f345045

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15f14679c3667e695204634cb4b05a3cb83fae5545d90bb6efb89a3ce7724589",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-06-03T08:11:40Z",
    "title_canon_sha256": "538dece8731d930e7e4de89bf92154775d9788eea7f55202e25d4a9256c470ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.02047",
    "kind": "arxiv",
    "version": 1
  }
}