Pith Number

pith:CSRRTJ2Z

pith:2026:CSRRTJ2ZIZXTML7NTAV23U7EQ4

not attested not anchored not stored refs pending

PCA of probability measures: Sparse and Dense sampling regimes

Elsa Cazelles, Gachon Erell, J\'er\'emie Bigot

arxiv:2602.02190 v2 · 2026-02-02 · stat.ML · cs.LG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CSRRTJ2ZIZXTML7NTAV23U7EQ4}

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	2026-07-07T02:18:33.923344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14a319a759466f362fed982badd3e48727adcf199d24daf5ec709de4f260363f

Aliases

arxiv: 2602.02190 · arxiv_version: 2602.02190v2 · doi: 10.48550/arxiv.2602.02190 · pith_short_12: CSRRTJ2ZIZXT · pith_short_16: CSRRTJ2ZIZXTML7N · pith_short_8: CSRRTJ2Z

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/CSRRTJ2ZIZXTML7NTAV23U7EQ4 \
  | 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: 14a319a759466f362fed982badd3e48727adcf199d24daf5ec709de4f260363f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6ddc5ea32cbb5f23eed8812d2983a8c19153bc0964adfce6b1ded0b3bc3e697",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-02-02T14:56:58Z",
    "title_canon_sha256": "63d32ba623176300dfe4ab9ac2e34cac0a2eb2dc86f82f9b62ea95327ac1b1b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.02190",
    "kind": "arxiv",
    "version": 2
  }
}