Pith Number

pith:YC7NGNRQ

pith:2019:YC7NGNRQ4BPT76VAKZOOU2CX4G

not attested not anchored not stored refs pending

Normal Approximation and Confidence Region of Singular Subspaces

Dong Xia

arxiv:1901.00304 v4 · 2019-01-02 · math.ST · cs.IT · math.IT · stat.ML · 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{YC7NGNRQ4BPT76VAKZOOU2CX4G}

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	2026-05-17T23:39:30.502510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0bed33630e05f3ffaa0565cea6857e195789e95c854f0a8a4c775998952868f

Aliases

arxiv: 1901.00304 · arxiv_version: 1901.00304v4 · doi: 10.48550/arxiv.1901.00304 · pith_short_12: YC7NGNRQ4BPT · pith_short_16: YC7NGNRQ4BPT76VA · pith_short_8: YC7NGNRQ

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/YC7NGNRQ4BPT76VAKZOOU2CX4G \
  | 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: c0bed33630e05f3ffaa0565cea6857e195789e95c854f0a8a4c775998952868f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6eacf6c0442974a8bc0d80ee83d18d1246dcc46533c87e0e814748068123e2a6",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2019-01-02T09:23:50Z",
    "title_canon_sha256": "8e7ca1588e7598825233181230b4bd3ec8d1200961975d29cb959e5a9af8c730"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.00304",
    "kind": "arxiv",
    "version": 4
  }
}