Pith Number

pith:YHRKOBKM

pith:2026:YHRKOBKMCFL32H44WNFKU3Z6HE

not attested not anchored not stored refs pending

Kernel Methods for Learning Operators with Multiple Inputs and Outputs

Adrien Weihs, Chunyang Liao, Hayden Schaeffer, Jingmin Sun

arxiv:2608.11831 v1 · 2026-08-12 · cs.LG · math.ST · stat.ML · 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{YHRKOBKMCFL32H44WNFKU3Z6HE}

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	2026-08-13T01:28:22.027589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1e2a7054c1157bd1f9cb34aaa6f3e39180d1c4814bbdaccb85d8ca126c727b9

Aliases

arxiv: 2608.11831 · arxiv_version: 2608.11831v1 · doi: 10.48550/arxiv.2608.11831 · pith_short_12: YHRKOBKMCFL3 · pith_short_16: YHRKOBKMCFL32H44 · pith_short_8: YHRKOBKM

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/YHRKOBKMCFL32H44WNFKU3Z6HE \
  | 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: c1e2a7054c1157bd1f9cb34aaa6f3e39180d1c4814bbdaccb85d8ca126c727b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f8f5dbf0dc6061ff6d60e95732af523a7458695f89b1742e23d38c1ab4dfc9c",
    "cross_cats_sorted": [
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-08-12T09:15:20Z",
    "title_canon_sha256": "0a65605416a2fb81f5bbb84584c32ecf2df1a33241ad924ac747736be4118524"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.11831",
    "kind": "arxiv",
    "version": 1
  }
}