Pith Number

pith:HA3EWW7Q

pith:2022:HA3EWW7QGMD4EPQUJU4AA4WQHE

not attested not anchored not stored refs pending

Almost sure invariance principle of $\beta-$mixing time series in Hilbert space

Jianya Lu, Lihu Xu, Wei Biao Wu, Zhijie Xiao

arxiv:2209.12535 v2 · 2022-09-26 · 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{HA3EWW7QGMD4EPQUJU4AA4WQHE}

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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.

Cited by

1 paper in Pith

Prokhorov Metric Convergence of the Partial Sum Process for Reconstructed Functional Data

Receipt and verification

First computed	2026-07-05T05:08:30.936864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38364b5bf03307c23e144d380072d03923f99ed2673fdb9034b8280f0840688b

Aliases

arxiv: 2209.12535 · arxiv_version: 2209.12535v2 · doi: 10.48550/arxiv.2209.12535 · pith_short_12: HA3EWW7QGMD4 · pith_short_16: HA3EWW7QGMD4EPQU · pith_short_8: HA3EWW7Q

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/HA3EWW7QGMD4EPQUJU4AA4WQHE \
  | 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: 38364b5bf03307c23e144d380072d03923f99ed2673fdb9034b8280f0840688b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4197be787c0c30e5673d2295ac9ea4500751004cb27a0bcb0aed3abef7000d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-09-26T09:31:56Z",
    "title_canon_sha256": "ac1bd28659d20ed6a1bc63cc4c038cb253f38fdc8ee9a654c19f0e48bbc95842"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.12535",
    "kind": "arxiv",
    "version": 2
  }
}