Pith Number

pith:XZRZX3BT

pith:2026:XZRZX3BTLWQXQKOVG3BDBIO5ZD

not attested not anchored not stored refs pending

Laplace Approximations for Mixed-Effects and Gaussian Process Quantile Regression

Andrea Nava, Fabio Sigrist

arxiv:2605.21197 v1 · 2026-05-20 · 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{XZRZX3BTLWQXQKOVG3BDBIO5ZD}

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	2026-05-21T01:05:42.990254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be639bec335da17829d536c230a1ddc8d3df940b1c26cee36b3a4d6383e19fd5

Aliases

arxiv: 2605.21197 · arxiv_version: 2605.21197v1 · doi: 10.48550/arxiv.2605.21197 · pith_short_12: XZRZX3BTLWQX · pith_short_16: XZRZX3BTLWQXQKOV · pith_short_8: XZRZX3BT

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/XZRZX3BTLWQXQKOVG3BDBIO5ZD \
  | 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: be639bec335da17829d536c230a1ddc8d3df940b1c26cee36b3a4d6383e19fd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3019ab728db7a2db92b4f2e5eca1a4cc0ff9b88f679c44bbda890b38382c7ead",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-05-20T13:57:55Z",
    "title_canon_sha256": "f628673e7ef9e6b656dd60d59ccbddf3c251d2be2d5a826ee611465cecf0e53e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21197",
    "kind": "arxiv",
    "version": 1
  }
}