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Pith Number

pith:45H57PPB

pith:2015:45H57PPBLB3PBSHRHSPUST26M6
not attested not anchored not stored refs pending

Tree-Structured Clustering in Fixed Effects Models

Gerhard Tutz, Moritz Berger

arxiv:1512.05169 v1 · 2015-12-16 · stat.ME

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{45H57PPBLB3PBSHRHSPUST26M6}

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 2026-05-18T01:24:13.347660Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e74fdfbde15876f0c8f13c9f494f5e67b08eb58a372438c0209c111b5775709a

Aliases

arxiv: 1512.05169 · arxiv_version: 1512.05169v1 · doi: 10.48550/arxiv.1512.05169 · pith_short_12: 45H57PPBLB3P · pith_short_16: 45H57PPBLB3PBSHR · pith_short_8: 45H57PPB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/45H57PPBLB3PBSHRHSPUST26M6 \
  | 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: e74fdfbde15876f0c8f13c9f494f5e67b08eb58a372438c0209c111b5775709a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "afc594d3d918bd92df95bb27ae385a6c9412c455fc4433e98b97d975fc246921",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2015-12-16T13:32:47Z",
    "title_canon_sha256": "697c446aa79295fe0be83da80d977bdcc3886fcf26fc6b3c30d696e195036cdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05169",
    "kind": "arxiv",
    "version": 1
  }
}