Pith Number

pith:GGRPAW4N

pith:2013:GGRPAW4NTBMBSMIEI5X2CGAIV5

not attested not anchored not stored refs pending

Expansion for moments of regression quantiles with application to nonparametric testing

Enno Mammen, Ingrid Van Keilegom, Kyusang Yu

arxiv:1306.6179 v3 · 2013-06-26 · 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{GGRPAW4NTBMBSMIEI5X2CGAIV5}

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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	2026-05-18T00:40:20.044493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31a2f05b8d9858193104476fa11808af4d6c5b55f1ede317a00ff76c45221075

Aliases

arxiv: 1306.6179 · arxiv_version: 1306.6179v3 · doi: 10.48550/arxiv.1306.6179 · pith_short_12: GGRPAW4NTBMB · pith_short_16: GGRPAW4NTBMBSMIE · pith_short_8: GGRPAW4N

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/GGRPAW4NTBMBSMIEI5X2CGAIV5 \
  | 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: 31a2f05b8d9858193104476fa11808af4d6c5b55f1ede317a00ff76c45221075

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "219149f039b1e5ee6ec5549bb6274c3b23007bdea5ad0162e8ff1cb9cb5d95c9",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-06-26T09:30:02Z",
    "title_canon_sha256": "8f3e1af1ad1310b86360d6b475d3fa8052d32a9d592adad3278a0fca87ff43d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6179",
    "kind": "arxiv",
    "version": 3
  }
}