Pith Number

pith:F575U2I5

pith:2016:F575U2I52JHOHQI732P2L4U6CA

not attested not anchored not stored refs pending

On the inference about the spectral distribution of high-dimensional covariance matrix based on high-frequency noisy observations

Ningning Xia, Xinghua Zheng

arxiv:1604.03638 v2 · 2016-04-13 · 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{F575U2I52JHOHQI732P2L4U6CA}

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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	2026-05-18T00:49:47.084717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f7fda691dd24ee3c11fde9fa5f29e10027de0b1dfe3129c67de25289257186c

Aliases

arxiv: 1604.03638 · arxiv_version: 1604.03638v2 · doi: 10.48550/arxiv.1604.03638 · pith_short_12: F575U2I52JHO · pith_short_16: F575U2I52JHOHQI7 · pith_short_8: F575U2I5

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/F575U2I52JHOHQI732P2L4U6CA \
  | 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: 2f7fda691dd24ee3c11fde9fa5f29e10027de0b1dfe3129c67de25289257186c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ac23d8ac981963141e7c604e8dfdeb9a626822a040cefb65deca98a8b75f9ad",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-04-13T02:51:31Z",
    "title_canon_sha256": "89ff826245e80281f8415ffdb9e0eda44789bf75e634335fb0bd844f0e896220"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03638",
    "kind": "arxiv",
    "version": 2
  }
}