Pith Number

pith:D2YNRUHX

pith:2023:D2YNRUHXUCEWF5QADH3IVCU2YS

not attested not anchored not stored refs pending

Geodesic Mixed Effects Models for Repeatedly Observed/Longitudinal Random Objects

Hans-Georg M\"uller, Satarupa Bhattacharjee

arxiv:2307.05726 v1 · 2023-07-11 · stat.ME · 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{D2YNRUHXUCEWF5QADH3IVCU2YS}

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.

Cited by

1 paper in Pith

A Test for Treatment Heterogeneity under a Distributional Difference-in-Difference Framework

Receipt and verification

First computed	2026-07-05T06:30:11.619910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1eb0d8d0f7a08962f60019f68a8a9ac491fbaa78fa92939a554c824068ef6f37

Aliases

arxiv: 2307.05726 · arxiv_version: 2307.05726v1 · doi: 10.48550/arxiv.2307.05726 · pith_short_12: D2YNRUHXUCEW · pith_short_16: D2YNRUHXUCEWF5QA · pith_short_8: D2YNRUHX

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/D2YNRUHXUCEWF5QADH3IVCU2YS \
  | 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: 1eb0d8d0f7a08962f60019f68a8a9ac491fbaa78fa92939a554c824068ef6f37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cce3a624454b33154deb93ca1349d676612cfe7d656e95ef1bb424e4dd6a089c",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2023-07-11T18:50:33Z",
    "title_canon_sha256": "86cdbab77e91fb8379267084ae0c9491a2f11d3555108494b20b1f4923dce598"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.05726",
    "kind": "arxiv",
    "version": 1
  }
}