Pith Number

pith:4QE4GTWH

pith:2006:4QE4GTWHN5ELKGAM5EBP5Y65KC

not attested not anchored not stored refs pending

Functional linear regression analysis for longitudinal data

Fang Yao, Hans-Georg M\"uller, Jane-Ling Wang

arxiv:math/0603132 v1 · 2006-03-06 · 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{4QE4GTWHN5ELKGAM5EBP5Y65KC}

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	2026-05-18T01:08:50.460964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e409c34ec76f48b5180ce902fee3dd509eea7e1ee1d7c37e5bf1fb1528a57392

Aliases

arxiv: math/0603132 · arxiv_version: math/0603132v1 · doi: 10.48550/arxiv.math/0603132 · pith_short_12: 4QE4GTWHN5EL · pith_short_16: 4QE4GTWHN5ELKGAM · pith_short_8: 4QE4GTWH

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/4QE4GTWHN5ELKGAM5EBP5Y65KC \
  | 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: e409c34ec76f48b5180ce902fee3dd509eea7e1ee1d7c37e5bf1fb1528a57392

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c04fc09f488da10f8334429f39062324836c9418f78309411a96eeff3365961e",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.ST",
    "submitted_at": "2006-03-06T08:09:42Z",
    "title_canon_sha256": "25ba4c9ff1a7823cde58b58f492b798ced8440d8990622538488ac3c5ba5760f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0603132",
    "kind": "arxiv",
    "version": 1
  }
}