Pith Number

pith:KXOJLS5Z

pith:2018:KXOJLS5ZCYIFTLUPUOZ7HSF74C

not attested not anchored not stored refs pending

Mixed-normal limit theorems for multiple Skorohod integrals in high-dimensions, with application to realized covariance

Yuta Koike

arxiv:1806.05077 v3 · 2018-06-13 · math.ST · math.PR · stat.TH

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KXOJLS5ZCYIFTLUPUOZ7HSF74C}

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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	2026-05-17T23:49:52.801697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55dc95cbb9161059ae8fa3b3f3c8bfe0b1f51623d3ec5ecb1eb068257ea4a42a

Aliases

arxiv: 1806.05077 · arxiv_version: 1806.05077v3 · doi: 10.48550/arxiv.1806.05077 · pith_short_12: KXOJLS5ZCYIF · pith_short_16: KXOJLS5ZCYIFTLUP · pith_short_8: KXOJLS5Z

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/KXOJLS5ZCYIFTLUPUOZ7HSF74C \
  | 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: 55dc95cbb9161059ae8fa3b3f3c8bfe0b1f51623d3ec5ecb1eb068257ea4a42a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccbfbacb0480f11ec45fd522133a508e83412d886c882d01abf3eab8fae806e9",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-06-13T14:21:20Z",
    "title_canon_sha256": "a3b9ba3965370cf4c8fded6de384a4e532c4f395e35b2ffea7c6a88bc700870b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.05077",
    "kind": "arxiv",
    "version": 3
  }
}