Pith Number

pith:DP76EXQW

pith:2016:DP76EXQW2VWQ4IPTC7G5HWZ77W

not attested not anchored not stored refs pending

Asymptotic properties of Principal Component Analysis and shrinkage-bias adjustment under the Generalized Spiked Population model

Rounak Dey, Seunggeun Lee

arxiv:1607.08647 v1 · 2016-07-28 · math.ST · stat.ML · 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{DP76EXQW2VWQ4IPTC7G5HWZ77W}

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.

Receipt and verification

First computed	2026-05-17T23:51:49.787104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bffe25e16d56d0e21f317cdd3db3ffd8ab2ba2582b4ff36796a66341a9f7a4f

Aliases

arxiv: 1607.08647 · arxiv_version: 1607.08647v1 · doi: 10.48550/arxiv.1607.08647 · pith_short_12: DP76EXQW2VWQ · pith_short_16: DP76EXQW2VWQ4IPT · pith_short_8: DP76EXQW

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/DP76EXQW2VWQ4IPTC7G5HWZ77W \
  | 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: 1bffe25e16d56d0e21f317cdd3db3ffd8ab2ba2582b4ff36796a66341a9f7a4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "399a5b424ac852e75cc7e4985debb8d1ea8de596d510f43b36ba95654c375c39",
    "cross_cats_sorted": [
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-07-28T21:45:58Z",
    "title_canon_sha256": "4054bb8cb5918938057ba1762cd9b664e8525e3bf6e878c0c739d465160c02b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08647",
    "kind": "arxiv",
    "version": 1
  }
}