Pith Number

pith:HBL6P5YY

pith:2022:HBL6P5YYPIWT3QEIQ7C273LRNS

not attested not anchored not stored refs pending

Learning linear operators: Infinite-dimensional regression as a well-behaved non-compact inverse problem

Mattes Mollenhauer, Nicole M\"ucke, T. J. Sullivan

arxiv:2211.08875 v3 · 2022-11-16 · math.ST · math.FA · math.PR · 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{HBL6P5YYPIWT3QEIQ7C273LRNS}

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.

Cited by

4 papers in Pith

Is Zero-Shot Super-Resolution Possible in Operator Learning?

Concentration Inequalities for Sample Cross-Covariances

Operator Learning for Schr\"{o}dinger Equation: Unitarity, Error Bounds, and Time Generalization

Safety Certification is Classification

Receipt and verification

First computed	2026-07-05T08:41:58.240953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3857e7f7187a2d3dc08887c5afed716c93a305d7b920f714fa05d84c834df295

Aliases

arxiv: 2211.08875 · arxiv_version: 2211.08875v3 · doi: 10.48550/arxiv.2211.08875 · pith_short_12: HBL6P5YYPIWT · pith_short_16: HBL6P5YYPIWT3QEI · pith_short_8: HBL6P5YY

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/HBL6P5YYPIWT3QEIQ7C273LRNS \
  | 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: 3857e7f7187a2d3dc08887c5afed716c93a305d7b920f714fa05d84c834df295

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47d233f1d013d6752c180299def97ef97797770c06ea1811e79dd8a8f8978de7",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2022-11-16T12:33:01Z",
    "title_canon_sha256": "131c6dccd286026cadd8840c871a63e3cbe48313bfc0759a1a6049499f7e0603"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.08875",
    "kind": "arxiv",
    "version": 3
  }
}