Pith Number

pith:QPSNL726

pith:2006:QPSNL726ENZWC6YNOJGFLJZADX

not attested not anchored not stored refs pending

Properties of principal component methods for functional and longitudinal data analysis

Hans-Georg M\"uller, Jane-Ling Wang, Peter Hall

arxiv:math/0608022 v1 · 2006-08-01 · 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{QPSNL726ENZWC6YNOJGFLJZADX}

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	2026-05-18T01:08:49.835169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83e4d5ff5e2373617b0d724c55a7201dcbe8b8f982fdc28d1bf9749d161a4dc6

Aliases

arxiv: math/0608022 · arxiv_version: math/0608022v1 · doi: 10.48550/arxiv.math/0608022 · pith_short_12: QPSNL726ENZW · pith_short_16: QPSNL726ENZWC6YN · pith_short_8: QPSNL726

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/QPSNL726ENZWC6YNOJGFLJZADX \
  | 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: 83e4d5ff5e2373617b0d724c55a7201dcbe8b8f982fdc28d1bf9749d161a4dc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8bd78c741d12ff758a2c6fb5e7305dccd6e0a6deb0c6a77a720baa6d9cd3675",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.ST",
    "submitted_at": "2006-08-01T12:16:25Z",
    "title_canon_sha256": "a0a1493c244c85ae1ffbd86041a60d1f78ed0406c4ede14685c7c337336b6715"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608022",
    "kind": "arxiv",
    "version": 1
  }
}