Pith Number

pith:BIL4ZLWB

pith:2025:BIL4ZLWBEJXLAM3EIWKNUA45UU

not attested not anchored not stored refs pending

Central limit theorem of Multilevel Monte Carlo Euler estimators for Stochastic Volterra equations with fractional kernels

Hongjun Gao, Shanqi Liu, Yaozhong Hu

arxiv:2506.03421 v1 · 2025-06-03 · 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{BIL4ZLWBEJXLAM3EIWKNUA45UU}

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	2026-07-05T11:15:27.219568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a17ccaec1226eb033644594da039da529a9854fdb220adfec40f589da29f5ca

Aliases

arxiv: 2506.03421 · arxiv_version: 2506.03421v1 · doi: 10.48550/arxiv.2506.03421 · pith_short_12: BIL4ZLWBEJXL · pith_short_16: BIL4ZLWBEJXLAM3E · pith_short_8: BIL4ZLWB

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/BIL4ZLWBEJXLAM3EIWKNUA45UU \
  | 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: 0a17ccaec1226eb033644594da039da529a9854fdb220adfec40f589da29f5ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed16e9e0e0ab611b3ffcdc5d5f4dc2398461dab149035e36d0ff1f9ccb3a3c2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-06-03T22:00:13Z",
    "title_canon_sha256": "1f68a0c194b319864f68d77c708ade5b6209011f3461cb3aa90b2cbcf80504ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.03421",
    "kind": "arxiv",
    "version": 1
  }
}