Pith Number

pith:RLLXCIEB

pith:2015:RLLXCIEBFIKJB3H62XFUFBPPWX

not attested not anchored not stored refs pending

Maximum likelihood estimators uniformly minimize distribution variance among distribution unbiased estimators in exponential families

Paul Vos, Qiang Wu

arxiv:1509.05574 v1 · 2015-09-18 · math.ST · stat.TH

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RLLXCIEBFIKJB3H62XFUFBPPWX}

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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	2026-05-18T01:32:42.824654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ad77120812a1490ecfed5cb4285efb5c6e33b337801e96239d20e085a92dd45

Aliases

arxiv: 1509.05574 · arxiv_version: 1509.05574v1 · doi: 10.48550/arxiv.1509.05574 · pith_short_12: RLLXCIEBFIKJ · pith_short_16: RLLXCIEBFIKJB3H6 · pith_short_8: RLLXCIEB

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/RLLXCIEBFIKJB3H62XFUFBPPWX \
  | 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: 8ad77120812a1490ecfed5cb4285efb5c6e33b337801e96239d20e085a92dd45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd5abd205444964a30ef6100fd0c8f02da5e363deb2c5c9816ba71cc021e860d",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-09-18T10:21:56Z",
    "title_canon_sha256": "bc6aaeb11674c1a73fb05dd32081b52f52c79ab7f0c72446006783de052b8ad6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05574",
    "kind": "arxiv",
    "version": 1
  }
}