Pith. sign in
Pith Number

pith:FMIPCIKU

pith:2023:FMIPCIKUI4LNS5QDY4NYTBGASE
not attested not anchored not stored refs pending

On eigenvalues of sample covariance matrices based on high dimensional compositional data

Jiaxin Qiu, Qianqian Jiang, Zeng Li

arxiv:2312.14420 v1 · 2023-12-22 · math.ST · stat.ME · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FMIPCIKUI4LNS5QDY4NYTBGASE}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T07:27:15.126921Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2b10f121544716d97603c71b8984c0912c85bb7246d816b6bbf968c4f3946c39

Aliases

arxiv: 2312.14420 · arxiv_version: 2312.14420v1 · doi: 10.48550/arxiv.2312.14420 · pith_short_12: FMIPCIKUI4LN · pith_short_16: FMIPCIKUI4LNS5QD · pith_short_8: FMIPCIKU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FMIPCIKUI4LNS5QDY4NYTBGASE \
  | 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: 2b10f121544716d97603c71b8984c0912c85bb7246d816b6bbf968c4f3946c39
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9545dcc4bab96b816578d30cacf1adba7587a905e7a9501c49e2375056e49677",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2023-12-22T03:55:08Z",
    "title_canon_sha256": "1ed3ff539607af883e5f1d1d940c3a49bf6d3574024ec07a6dbd470edb2b2c23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.14420",
    "kind": "arxiv",
    "version": 1
  }
}