Pith Number

pith:5SSFUW6J

pith:2026:5SSFUW6J4M2FU4UI6PQKO7HAPX

not attested not anchored not stored refs pending

Limiting eigen-structure of spiked sample covariance matrices under missing observations

Haotian Cheng, Huiqin Li, Yanqing Yin, Zhixiang Zhang

arxiv:2608.09135 v1 · 2026-08-10 · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5SSFUW6J4M2FU4UI6PQKO7HAPX}

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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	2026-08-11T02:21:52.959979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eca45a5bc9e3345a7288f3e0a77ce07de9b7bac0fd749b7c644a3bd381205816

Aliases

arxiv: 2608.09135 · arxiv_version: 2608.09135v1 · doi: 10.48550/arxiv.2608.09135 · pith_short_12: 5SSFUW6J4M2F · pith_short_16: 5SSFUW6J4M2FU4UI · pith_short_8: 5SSFUW6J

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/5SSFUW6J4M2FU4UI6PQKO7HAPX \
  | 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: eca45a5bc9e3345a7288f3e0a77ce07de9b7bac0fd749b7c644a3bd381205816

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf63318e639230ebb9a18b0447dfad744da0cfe503c50ea66d827f57cde551be",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-08-10T05:27:53Z",
    "title_canon_sha256": "616bd6187a41f54d9ae92af61bede45c754262fb15fffa49d56404d04c732638"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09135",
    "kind": "arxiv",
    "version": 1
  }
}