Pith Number

pith:PPVSXINV

pith:2006:PPVSXINVLUUL5XCJKDC77JM43N

not attested not anchored not stored refs pending

Assessing extrema of empirical principal component functions

C\'eline Vial, Peter Hall

arxiv:math/0608025 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{PPVSXINVLUUL5XCJKDC77JM43N}

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	2026-05-18T01:08:49.828480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7beb2ba1b55d28bedc4950c5ffa59cdb4b8371dbf95d9aa2b2dcbd271216a248

Aliases

arxiv: math/0608025 · arxiv_version: math/0608025v1 · doi: 10.48550/arxiv.math/0608025 · pith_short_12: PPVSXINVLUUL · pith_short_16: PPVSXINVLUUL5XCJ · pith_short_8: PPVSXINV

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/PPVSXINVLUUL5XCJKDC77JM43N \
  | 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: 7beb2ba1b55d28bedc4950c5ffa59cdb4b8371dbf95d9aa2b2dcbd271216a248

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d46321ba13c57477ab4d25ea5fdbc662f9ac106a585b519241593059bdc9bcd4",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.ST",
    "submitted_at": "2006-08-01T13:13:00Z",
    "title_canon_sha256": "42a4d84971b649b194beaef617d09269e6fd8551bad6259cdccdd526eaef297f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608025",
    "kind": "arxiv",
    "version": 1
  }
}