Pith Number

pith:56XIRARX

pith:2026:56XIRARXQDP4DHJ6Y4K4A4D6AX

not attested not anchored not stored refs pending

Analytic Standard Errors for Latent Gaussian Discrete-Valued Multivariate Time Series

Barbara L. Fredrickson, Christopher M. Crawford, Marie-Christine D\"uker, Vladas Pipiras, Younghoon Kim, Zachary F. Fisher

arxiv:2607.02732 v1 · 2026-07-02 · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{56XIRARXQDP4DHJ6Y4K4A4D6AX}

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	2026-07-07T00:16:11.169062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efae88823780dfc19d3ec715c0707e05d2570c73180b8082bdd12acec2bc361f

Aliases

arxiv: 2607.02732 · arxiv_version: 2607.02732v1 · doi: 10.48550/arxiv.2607.02732 · pith_short_12: 56XIRARXQDP4 · pith_short_16: 56XIRARXQDP4DHJ6 · pith_short_8: 56XIRARX

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/56XIRARXQDP4DHJ6Y4K4A4D6AX \
  | 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: efae88823780dfc19d3ec715c0707e05d2570c73180b8082bdd12acec2bc361f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "035e55ac695a983d1d9a1e7840b949a521bb11f79a0fbf07f7ab4fddabbf73a5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-07-02T19:48:45Z",
    "title_canon_sha256": "c7745af68b910f5a20d58fdeb0fbce6f15b26224fe5f259ffe8fb056ee4c103d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02732",
    "kind": "arxiv",
    "version": 1
  }
}