Pith Number

pith:M2RTY34D

pith:2011:M2RTY34DQ54IYDQY4ZMEYNJ2K2

not attested not anchored not stored refs pending

New Methods for Handling Singular Sample Covariance Matrices

Gabriel H. Tucci, Ke Wang

arxiv:1111.0235 v3 · 2011-11-01 · math.PR · cs.IT · math.IT · 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{M2RTY34DQ54IYDQY4ZMEYNJ2K2}

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	2026-05-17T23:57:49.165541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66a33c6f8387788c0e18e6584c353a5695cff5c8a0277e7766f72b23d9bafa1a

Aliases

arxiv: 1111.0235 · arxiv_version: 1111.0235v3 · doi: 10.48550/arxiv.1111.0235 · pith_short_12: M2RTY34DQ54I · pith_short_16: M2RTY34DQ54IYDQY · pith_short_8: M2RTY34D

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/M2RTY34DQ54IYDQY4ZMEYNJ2K2 \
  | 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: 66a33c6f8387788c0e18e6584c353a5695cff5c8a0277e7766f72b23d9bafa1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e73d8898a19a49f4f82ce2d8ff3cc5406f517206605e40627cae8a6fdb3f357",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-01T16:18:01Z",
    "title_canon_sha256": "b6c9fdcdf312159d9f513cf62cf939b356e30554be09826b9765785dafa6adc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0235",
    "kind": "arxiv",
    "version": 3
  }
}