Pith Number

pith:VDHEHBYW

pith:2026:VDHEHBYWFNR3BADKJGNQGT4JML

not attested not anchored not stored refs pending

Error Propagation in Spectral Functionals of Shrinkage Covariance Estimators: Perturbation Bounds and Calibrated Inference

Ahmad Koman

arxiv:2607.06373 v1 · 2026-07-07 · stat.ME · math.ST · q-fin.ST · stat.CO · 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{VDHEHBYWFNR3BADKJGNQGT4JML}

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	2026-07-08T01:19:23.631598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8ce4387162b63b0806a499b034f8962dcbb60754c05c8aaabb96bbb42c6b721

Aliases

arxiv: 2607.06373 · arxiv_version: 2607.06373v1 · doi: 10.48550/arxiv.2607.06373 · pith_short_12: VDHEHBYWFNR3 · pith_short_16: VDHEHBYWFNR3BADK · pith_short_8: VDHEHBYW

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/VDHEHBYWFNR3BADKJGNQGT4JML \
  | 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: a8ce4387162b63b0806a499b034f8962dcbb60754c05c8aaabb96bbb42c6b721

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5c6c7797c47208f6276aa4f6e341ac1dca3de80033dc123c4dfbe32a550664b",
    "cross_cats_sorted": [
      "math.ST",
      "q-fin.ST",
      "stat.CO",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-07-07T15:11:16Z",
    "title_canon_sha256": "053f8846a1ffa284ac2f27566b5121df29bbd04cc4a56ffe504a745f8d5987c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06373",
    "kind": "arxiv",
    "version": 1
  }
}