Pith Number

pith:7DABK2HV

pith:2011:7DABK2HVCD5JKDR3AKMJMIPXB6

not attested not anchored not stored refs pending

The Masked Sample Covariance Estimator: An Analysis via Matrix Concentration Inequalities

Alex Gittens, Joel A. Tropp, Richard Y. Chen

arxiv:1109.1637 v3 · 2011-09-08 · math.PR · 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{7DABK2HVCD5JKDR3AKMJMIPXB6}

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

Select-then-differentiate: Solving Bilevel Optimization with Manifold Lower-level Solution Sets

Receipt and verification

First computed	2026-05-18T03:53:43.730816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8c01568f510fa950e3b02989621f70f8399154ceb5d1ee6cdfcebb30710b00b

Aliases

arxiv: 1109.1637 · arxiv_version: 1109.1637v3 · doi: 10.48550/arxiv.1109.1637 · pith_short_12: 7DABK2HVCD5J · pith_short_16: 7DABK2HVCD5JKDR3 · pith_short_8: 7DABK2HV

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/7DABK2HVCD5JKDR3AKMJMIPXB6 \
  | 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: f8c01568f510fa950e3b02989621f70f8399154ceb5d1ee6cdfcebb30710b00b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33d59598853cb96749dfc1793e0e7edbda441b1318f9e5ab480f2dcfe22bcc21",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-09-08T07:01:46Z",
    "title_canon_sha256": "4df542b60a5d0a4c938f46d553d00da23cb77e4c67dc953e7fef8a745087247d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1637",
    "kind": "arxiv",
    "version": 3
  }
}