Pith Number

pith:KMWQVW2E

pith:2016:KMWQVW2EXYYYE2TYZLLKQWOF2W

not attested not anchored not stored refs pending

Shrinkage estimation of covariance matrix for portfolio choice with high frequency data

Cheng Liu, Jun Yu, Ningning Xia

arxiv:1611.06753 v1 · 2016-11-21 · math.ST · stat.AP · 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{KMWQVW2EXYYYE2TYZLLKQWOF2W}

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	2026-05-18T00:57:33.004111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

532d0adb44be31826a78cad6a859c5d590e3ba70b302af4a69007befb7d473d4

Aliases

arxiv: 1611.06753 · arxiv_version: 1611.06753v1 · doi: 10.48550/arxiv.1611.06753 · pith_short_12: KMWQVW2EXYYY · pith_short_16: KMWQVW2EXYYYE2TY · pith_short_8: KMWQVW2E

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/KMWQVW2EXYYYE2TYZLLKQWOF2W \
  | 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: 532d0adb44be31826a78cad6a859c5d590e3ba70b302af4a69007befb7d473d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59735a06b56aee01a9bcb1bd41204f57fa2e15d73e7cf6ce305c764e415aafb4",
    "cross_cats_sorted": [
      "stat.AP",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-11-21T12:21:34Z",
    "title_canon_sha256": "b178e9c3f2927ec3e76ed08a4cc8543fd783c5bfcfc2687c816150cfc2de866d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06753",
    "kind": "arxiv",
    "version": 1
  }
}