Pith Number

pith:VQ3DRGSL

pith:2023:VQ3DRGSLEQ4O6OCG7NNRFEOS2N

not attested not anchored not stored refs pending

Asymptotic limits of spiked eigenvalues and eigenvectors of signal-plus-noise matrices with weak signals and heteroskedastic noise

Guangming Pan, Lingyue Zhang, Xiaoyu Liu, Yiming Liu, Zhixiang Zhang

arxiv:2310.13939 v2 · 2023-10-21 · math.ST · stat.TH

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\usepackage{pith}
\pithnumber{VQ3DRGSLEQ4O6OCG7NNRFEOS2N}

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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

The Asymptotic Distribution of Sample Canonical Directions in Gaussian Spiked High-dimensional CCA

Receipt and verification

First computed	2026-07-05T11:01:22.220346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac36389a4b2438ef3846fb5b1291d2d35eb4eae86992cec6c69a68a3acc1982f

Aliases

arxiv: 2310.13939 · arxiv_version: 2310.13939v2 · doi: 10.48550/arxiv.2310.13939 · pith_short_12: VQ3DRGSLEQ4O · pith_short_16: VQ3DRGSLEQ4O6OCG · pith_short_8: VQ3DRGSL

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/VQ3DRGSLEQ4O6OCG7NNRFEOS2N \
  | 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: ac36389a4b2438ef3846fb5b1291d2d35eb4eae86992cec6c69a68a3acc1982f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "768d3e81c902aa4303915c365b75f2d24cb3368785b0dc357666d29940a8b95d",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2023-10-21T08:23:48Z",
    "title_canon_sha256": "8000f1c580008d952518582024ac423cab4ad43fe61d774844919b2bf82029de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.13939",
    "kind": "arxiv",
    "version": 2
  }
}