Pith Number

pith:ZJSRZZCZ

pith:2007:ZJSRZZCZ43XEAC3EE323Q5DGSX

not attested not anchored not stored refs pending

R-Estimates vs. GMM: A Theoretical Case Study of Validity and Efficiency

Abba M. Krieger, Dylan S. Small, Joseph L. Gastwirth, Paul R. Rosenbaum

arxiv:math/0701087 v1 · 2007-01-03 · 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{ZJSRZZCZ43XEAC3EE323Q5DGSX}

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	2026-07-04T15:02:06.082481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca651ce459e6ee400b6426f5b8746695c1d7a5a43ade152a2fd311667f3ba90b

Aliases

arxiv: math/0701087 · arxiv_version: math/0701087v1 · doi: 10.48550/arxiv.math/0701087 · pith_short_12: ZJSRZZCZ43XE · pith_short_16: ZJSRZZCZ43XEAC3E · pith_short_8: ZJSRZZCZ

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/ZJSRZZCZ43XEAC3EE323Q5DGSX \
  | 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: ca651ce459e6ee400b6426f5b8746695c1d7a5a43ade152a2fd311667f3ba90b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89d39c13e684d171d2507b71eab4edd9e95da9c858e19c42ddfe2adeb997bca7",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.ST",
    "submitted_at": "2007-01-03T09:03:25Z",
    "title_canon_sha256": "d45e7a0b8516e4b9f88fdba19b6802c60d25099c450b06f5161c5b6dc9aa4628"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701087",
    "kind": "arxiv",
    "version": 1
  }
}