Pith Number

pith:PXHSQZ6K

pith:2026:PXHSQZ6KHTV7FOSFR4OG5MTANT

not attested not anchored not stored refs pending

Kernel-based Operator Learning: Error Analysis, Budget Allocation, and a Physics-Informed Extension

R\"udiger Kempf

arxiv:2607.06287 v1 · 2026-07-07 · math.NA · cs.LG · cs.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{PXHSQZ6KHTV7FOSFR4OG5MTANT}

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	2026-07-08T01:19:20.010853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dcf2867ca3cebf2ba458f1c6eb2606cc420ba825eaaddec52459fa92c5971df

Aliases

arxiv: 2607.06287 · arxiv_version: 2607.06287v1 · doi: 10.48550/arxiv.2607.06287 · pith_short_12: PXHSQZ6KHTV7 · pith_short_16: PXHSQZ6KHTV7FOSF · pith_short_8: PXHSQZ6K

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/PXHSQZ6KHTV7FOSFR4OG5MTANT \
  | 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: 7dcf2867ca3cebf2ba458f1c6eb2606cc420ba825eaaddec52459fa92c5971df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a79aa79c79c962f8fa9e740462f86eeabf54235346ebb76be8a3985d9cad17b0",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-07-07T13:56:20Z",
    "title_canon_sha256": "c89e8f40fbd6b3a865153519041a29bc53ae3171673aea742243fb75c4632331"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06287",
    "kind": "arxiv",
    "version": 1
  }
}