Pith Number

pith:AQDNLDGE

pith:2025:AQDNLDGETYDCZ2DGQSFUCIEVM3

not attested not anchored not stored refs pending

Kernel Embeddings and the Separation of Measure Phenomenon

Kartik G. Waghmare, Leonardo V. Santoro, Victor M. Panaretos

arxiv:2505.04613 v4 · 2025-05-07 · stat.ML · cs.LG · 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{AQDNLDGETYDCZ2DGQSFUCIEVM3}

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	2026-05-18T02:45:14.005341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0406d58cc49e062ce866848b41209566e196211299cdb4e2b63f1ed9624abc6a

Aliases

arxiv: 2505.04613 · arxiv_version: 2505.04613v4 · doi: 10.48550/arxiv.2505.04613 · pith_short_12: AQDNLDGETYDC · pith_short_16: AQDNLDGETYDCZ2DG · pith_short_8: AQDNLDGE

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/AQDNLDGETYDCZ2DGQSFUCIEVM3 \
  | 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: 0406d58cc49e062ce866848b41209566e196211299cdb4e2b63f1ed9624abc6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b9f9eedddcb39380f831bbd211cb135c95e7ac17c4f26a213c5a3fe970eaf7f",
    "cross_cats_sorted": [
      "cs.LG",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2025-05-07T17:56:19Z",
    "title_canon_sha256": "30eaf19d0459ffb947d92e093e9eeff9c5a45ffc8cf833ef65f5fa96d6091e33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.04613",
    "kind": "arxiv",
    "version": 4
  }
}