Pith Number

pith:DM24UR7I

pith:2014:DM24UR7I4MM365ATFMTCMGTSCM

not attested not anchored not stored refs pending

Asymptotics and Concentration Bounds for Bilinear Forms of Spectral Projectors of Sample Covariance

Karim Lounici, Vladimir Koltchinskii

arxiv:1408.4643 v3 · 2014-08-20 · 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{DM24UR7I4MM365ATFMTCMGTSCM}

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	2026-05-18T01:35:40.224776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b35ca47e8e319bf74132b26261a72131daf066eb6de3bee2c435c1d7d474d38

Aliases

arxiv: 1408.4643 · arxiv_version: 1408.4643v3 · doi: 10.48550/arxiv.1408.4643 · pith_short_12: DM24UR7I4MM3 · pith_short_16: DM24UR7I4MM365AT · pith_short_8: DM24UR7I

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/DM24UR7I4MM365ATFMTCMGTSCM \
  | 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: 1b35ca47e8e319bf74132b26261a72131daf066eb6de3bee2c435c1d7d474d38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aefea693050aeda0c4b5c42f0f18bca3babea79ed1f31eec3da8ae5e4d744f84",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2014-08-20T13:20:50Z",
    "title_canon_sha256": "50483b33640e7f8495359e296229af5c50c15f318715c04142577967bb883a54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4643",
    "kind": "arxiv",
    "version": 3
  }
}