Pith Number

pith:K7VRJ7C4

pith:2018:K7VRJ7C4DV33XJMKVCRAISLCWS

not attested not anchored not stored refs pending

Fast Covariance Estimation for Multivariate Sparse Functional Data

Cai Li, Luo Xiao, Sheng Luo

arxiv:1812.00538 v2 · 2018-12-03 · stat.ME · stat.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K7VRJ7C4DV33XJMKVCRAISLCWS}

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	2026-05-17T23:43:50.376517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57eb14fc5c1d77bba58aa8a2044962b4badd34abc964700887a821c4275aeed6

Aliases

arxiv: 1812.00538 · arxiv_version: 1812.00538v2 · doi: 10.48550/arxiv.1812.00538 · pith_short_12: K7VRJ7C4DV33 · pith_short_16: K7VRJ7C4DV33XJMK · pith_short_8: K7VRJ7C4

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/K7VRJ7C4DV33XJMKVCRAISLCWS \
  | 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: 57eb14fc5c1d77bba58aa8a2044962b4badd34abc964700887a821c4275aeed6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "315bfa6276fc63e711f56f78876fb007c2a27bb2bdc6a0995f6278df51f54165",
    "cross_cats_sorted": [
      "stat.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2018-12-03T03:20:44Z",
    "title_canon_sha256": "7986b5a77ee667e0d4f10ddcab8c0052a89d619eb12fd6ea575013836672e287"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.00538",
    "kind": "arxiv",
    "version": 2
  }
}