Pith Number

pith:UL5TR2TO

pith:2025:UL5TR2TOGEJNFZX7SRX2QXOGK6

not attested not anchored not stored refs pending

Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces

Alejandro N. Diaz, Irina K. Tezaur, Jacob T. Needels, Patrick J. Blonigan

arxiv:2509.00224 v1 · 2025-08-29 · cs.CE · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UL5TR2TOGEJNFZX7SRX2QXOGK6}

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	2026-07-05T12:02:11.738904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2fb38ea6e3112d2e6ff946fa85dc657965beb8ddd68a99802616fec97e640a5

Aliases

arxiv: 2509.00224 · arxiv_version: 2509.00224v1 · doi: 10.48550/arxiv.2509.00224 · pith_short_12: UL5TR2TOGEJN · pith_short_16: UL5TR2TOGEJNFZX7 · pith_short_8: UL5TR2TO

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/UL5TR2TOGEJNFZX7SRX2QXOGK6 \
  | 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: a2fb38ea6e3112d2e6ff946fa85dc657965beb8ddd68a99802616fec97e640a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62497842540d40e39712b0bca2e41612e7cb03fc64316b922f224835ad7755c6",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CE",
    "submitted_at": "2025-08-29T20:25:18Z",
    "title_canon_sha256": "163335e78be346d4943671c63e52010f16e46c8bda2988e61e8dd40f233c601e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.00224",
    "kind": "arxiv",
    "version": 1
  }
}