Pith Number

pith:FNNPZZPM

pith:2014:FNNPZZPMQKNINOU3NXMVJNXOFS

not attested not anchored not stored refs pending

On the inference about the spectra of high-dimensional covariance matrix based on noisy observations-with applications to integrated covolatility matrix inference in the presence of microstructure noise

Ningning Xia, Xinghua Zheng

arxiv:1409.2121 v2 · 2014-09-07 · 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{FNNPZZPMQKNINOU3NXMVJNXOFS}

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	2026-05-18T01:34:55.317711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b5afce5ec829a86ba9b6dd954b6ee2cbe7ee289afea8f5d6a435f8225d0fdbc

Aliases

arxiv: 1409.2121 · arxiv_version: 1409.2121v2 · doi: 10.48550/arxiv.1409.2121 · pith_short_12: FNNPZZPMQKNI · pith_short_16: FNNPZZPMQKNINOU3 · pith_short_8: FNNPZZPM

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/FNNPZZPMQKNINOU3NXMVJNXOFS \
  | 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: 2b5afce5ec829a86ba9b6dd954b6ee2cbe7ee289afea8f5d6a435f8225d0fdbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6bc9f10a1d79d533166958f40eaf7f49677902303b43668396d9e713d5e6ab1",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2014-09-07T13:43:24Z",
    "title_canon_sha256": "5f99501c6c96fa0529508cb90287c648fc139370e53b265f5b9eca8a19e62cc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2121",
    "kind": "arxiv",
    "version": 2
  }
}