Pith Number

pith:CLFJ6F2R

pith:2021:CLFJ6F2RIMKI6LPE6S6NGZJKAN

not attested not anchored not stored refs pending

Conditional Independence Testing in Hilbert Spaces with Applications to Functional Data Analysis

Anton Rask Lundborg, Jonas Peters, Rajen D. Shah

arxiv:2101.07108 v3 · 2021-01-18 · math.ST · stat.ME · 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{CLFJ6F2RIMKI6LPE6S6NGZJKAN}

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	2026-07-05T06:54:10.876991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12ca9f175143148f2de4f4bcd3652a036bdede67daabe482b8beecbab269c3f0

Aliases

arxiv: 2101.07108 · arxiv_version: 2101.07108v3 · doi: 10.48550/arxiv.2101.07108 · pith_short_12: CLFJ6F2RIMKI · pith_short_16: CLFJ6F2RIMKI6LPE · pith_short_8: CLFJ6F2R

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/CLFJ6F2RIMKI6LPE6S6NGZJKAN \
  | 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: 12ca9f175143148f2de4f4bcd3652a036bdede67daabe482b8beecbab269c3f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70e486fabd39b0d057e871fd1fc33e417d51828b3a9d7910b259eca772158ce6",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2021-01-18T15:10:15Z",
    "title_canon_sha256": "d85a2042de9e6d5086dffa41f551a330b7653c3119f5e12d330629c55d341a0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.07108",
    "kind": "arxiv",
    "version": 3
  }
}