Pith Number

pith:G5M4P3PT

pith:2019:G5M4P3PTGUHMA7QJB6E5AQ22FD

not attested not anchored not stored refs pending

Principal components in linear mixed models with general bulk

Yi Sun, Zhichao Wang, Zhou Fan

arxiv:1903.09592 v3 · 2019-03-22 · math.PR · 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{G5M4P3PTGUHMA7QJB6E5AQ22FD}

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	2026-07-05T01:24:47.694193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3759c7edf3350ec07e090f89d0435a28e8038cfbb33d1cb42400e01ad3c47b4c

Aliases

arxiv: 1903.09592 · arxiv_version: 1903.09592v3 · doi: 10.48550/arxiv.1903.09592 · pith_short_12: G5M4P3PTGUHM · pith_short_16: G5M4P3PTGUHMA7QJ · pith_short_8: G5M4P3PT

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/G5M4P3PTGUHMA7QJB6E5AQ22FD \
  | 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: 3759c7edf3350ec07e090f89d0435a28e8038cfbb33d1cb42400e01ad3c47b4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "460e4712da46990f93febce62e2d5f81c55ceae1a1361564daf3fb4fd86c314f",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-03-22T16:37:39Z",
    "title_canon_sha256": "3957451b6a44fafbdcb860aa10734abbfaca3766aca51afa16ad25e865af7946"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.09592",
    "kind": "arxiv",
    "version": 3
  }
}