Pith Number

pith:5KBL5LW6

pith:2012:5KBL5LW6GRZG3WJOJLCJS6JUIX

not attested not anchored not stored refs pending

Modified likelihood ratio tests in heteroskedastic multivariate regression models with measurement error

Alexandre G. Patriota, Silvia L. P. Ferrari, Tatiane F. N. Melo

arxiv:1205.5039 v2 · 2012-05-22 · 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{5KBL5LW6GRZG3WJOJLCJS6JUIX}

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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	2026-05-18T03:30:53.795383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea82beaede34726dd92e4ac499793445eb29b5dac0ec9fe82a0dfd5280ac4721

Aliases

arxiv: 1205.5039 · arxiv_version: 1205.5039v2 · doi: 10.48550/arxiv.1205.5039 · pith_short_12: 5KBL5LW6GRZG · pith_short_16: 5KBL5LW6GRZG3WJO · pith_short_8: 5KBL5LW6

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/5KBL5LW6GRZG3WJOJLCJS6JUIX \
  | 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: ea82beaede34726dd92e4ac499793445eb29b5dac0ec9fe82a0dfd5280ac4721

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b14254c349b04e50ae440771e107dd444e3be3356fcfd8ab886d2f6b9b216ea3",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-05-22T20:11:50Z",
    "title_canon_sha256": "1b16db01fe3a0403d0997729ef173506ba586a9adbd715faff874266714d02f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5039",
    "kind": "arxiv",
    "version": 2
  }
}