Pith Number

pith:PAMF37TG

pith:2009:PAMF37TGUVP7KXMDHNY2Z6KQRX

not attested not anchored not stored refs pending

A-Collapsibility of Distribution Dependence and Quantile Regression Coefficients

P. Vellaisamy

arxiv:0906.5546 v4 · 2009-06-30 · stat.ME · math.ST · stat.AP · 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{PAMF37TGUVP7KXMDHNY2Z6KQRX}

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	2026-05-18T04:11:29.137962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78185dfe66a55ff55d833b71acf9508df2f6f103e4fa5eb628f5c170216f3762

Aliases

arxiv: 0906.5546 · arxiv_version: 0906.5546v4 · doi: 10.48550/arxiv.0906.5546 · pith_short_12: PAMF37TGUVP7 · pith_short_16: PAMF37TGUVP7KXMD · pith_short_8: PAMF37TG

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/PAMF37TGUVP7KXMDHNY2Z6KQRX \
  | 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: 78185dfe66a55ff55d833b71acf9508df2f6f103e4fa5eb628f5c170216f3762

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83458e55d6be118b9de04f892d706c876df0395f3152bd58843ba80385e380d1",
    "cross_cats_sorted": [
      "math.ST",
      "stat.AP",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2009-06-30T14:39:32Z",
    "title_canon_sha256": "4d127fc36061b395ff22fbcdad3a3ef62f7fa24c81c6cd04d922af3fc9357850"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.5546",
    "kind": "arxiv",
    "version": 4
  }
}