Pith Number

pith:FLCXQFK7

pith:2020:FLCXQFK7IC6HG2NZJEKI5EGEWI

not attested not anchored not stored refs pending

Sharp bounds for variance of treatment effect estimators in the finite population in the presence of covariates

Qihua Wang, Ruoyu Wang, Wang Miao, Xiaohua Zhou

arxiv:2011.09829 v2 · 2020-11-19 · math.ST · stat.ME · stat.TH

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FLCXQFK7IC6HG2NZJEKI5EGEWI}

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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	2026-07-05T04:58:26.393026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ac578155f40bc7369b949148e90c4b21e068e13b6767e468540ad1ad513a9f4

Aliases

arxiv: 2011.09829 · arxiv_version: 2011.09829v2 · doi: 10.48550/arxiv.2011.09829 · pith_short_12: FLCXQFK7IC6H · pith_short_16: FLCXQFK7IC6HG2NZ · pith_short_8: FLCXQFK7

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/FLCXQFK7IC6HG2NZJEKI5EGEWI \
  | 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: 2ac578155f40bc7369b949148e90c4b21e068e13b6767e468540ad1ad513a9f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92d6d6ea9dece0d6df2fa3d5a91dd998d980063a82f761382faf678a79aea4e1",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2020-11-19T14:08:57Z",
    "title_canon_sha256": "65733ede2b83c997e1abe9f3e4f5d1aa64710f65a17a2de451390436cb6c10ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.09829",
    "kind": "arxiv",
    "version": 2
  }
}