Pith Number

pith:J6RH2AFW

pith:2017:J6RH2AFWMBNCZHWO2OLFI7UOHR

not attested not anchored not stored refs pending

CLT for linear spectral statistics of large dimensional sample covariance matrices with dependent data

Hongtu Zhu, Jianfeng Yao, Shurong Zheng, Zhidong Bai

arxiv:1708.03749 v1 · 2017-08-12 · math.PR

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\usepackage{pith}
\pithnumber{J6RH2AFWMBNCZHWO2OLFI7UOHR}

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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

Asymptotic joint distribution of extreme eigenvalues and trace of large sample covariance matrix in a generalized spiked population model

Receipt and verification

First computed	2026-05-18T00:38:08.021895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fa27d00b6605a2c9eced396547e8e3c472b6ec992e8d486b641f4dd637bdde0

Aliases

arxiv: 1708.03749 · arxiv_version: 1708.03749v1 · doi: 10.48550/arxiv.1708.03749 · pith_short_12: J6RH2AFWMBNC · pith_short_16: J6RH2AFWMBNCZHWO · pith_short_8: J6RH2AFW

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/J6RH2AFWMBNCZHWO2OLFI7UOHR \
  | 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: 4fa27d00b6605a2c9eced396547e8e3c472b6ec992e8d486b641f4dd637bdde0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "064170da71e0b52c1c672c7e39629dddf73be7abc2f9f3128192388f6b03f0dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-08-12T07:41:01Z",
    "title_canon_sha256": "c46575d6a36d0f3789e8878e895b2b67910a63633871bf17fb26254a4677c0c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03749",
    "kind": "arxiv",
    "version": 1
  }
}