Pith Number

pith:R7GQQIVZ

pith:2015:R7GQQIVZAYVAS4YR7AIYIOMK3E

not attested not anchored not stored refs pending

Uniformly Valid Post-Regularization Confidence Regions for Many Functional Parameters in Z-Estimation Framework

Alexandre Belloni, Denis Chetverikov, Victor Chernozhukov, Ying Wei

arxiv:1512.07619 v4 · 2015-12-23 · 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{R7GQQIVZAYVAS4YR7AIYIOMK3E}

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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	2026-05-17T23:54:57.157251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fcd0822b9062a097311f81184398ad919ef015cd20767df45a2354cdff3f4e8

Aliases

arxiv: 1512.07619 · arxiv_version: 1512.07619v4 · doi: 10.48550/arxiv.1512.07619 · pith_short_12: R7GQQIVZAYVA · pith_short_16: R7GQQIVZAYVAS4YR · pith_short_8: R7GQQIVZ

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/R7GQQIVZAYVAS4YR7AIYIOMK3E \
  | 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: 8fcd0822b9062a097311f81184398ad919ef015cd20767df45a2354cdff3f4e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9381a9241a9781a395e087987a3b3e450db3681136bf06e9ed91c511264aa524",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2015-12-23T20:33:45Z",
    "title_canon_sha256": "586627dd31db0359649eaa2900e2b99548b689d801d856b96519bf40fc113890"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07619",
    "kind": "arxiv",
    "version": 4
  }
}