Pith Number

pith:GOXKPYJZ

pith:2023:GOXKPYJZRFIGUVT2WI34F3W2G7

not attested not anchored not stored refs pending

Operator learning with PCA-Net: upper and lower complexity bounds

Samuel Lanthaler

arxiv:2303.16317 v5 · 2023-03-28 · cs.LG · cs.NA · math.NA · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GOXKPYJZRFIGUVT2WI34F3W2G7}

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

1 paper in Pith

From inverse problems to neural operators: prediction, mechanism, and generalization of data-driven models

Receipt and verification

First computed	2026-07-05T07:00:44.179598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33aea7e13989506a567ab237c2eeda37f410bad7d6280d070f39c9d517dfd779

Aliases

arxiv: 2303.16317 · arxiv_version: 2303.16317v5 · doi: 10.48550/arxiv.2303.16317 · pith_short_12: GOXKPYJZRFIG · pith_short_16: GOXKPYJZRFIGUVT2 · pith_short_8: GOXKPYJZ

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/GOXKPYJZRFIGUVT2WI34F3W2G7 \
  | 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: 33aea7e13989506a567ab237c2eeda37f410bad7d6280d070f39c9d517dfd779

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "017fa8b36352c561e7777a2f74b6992dd15302b2b57d452b2d1791840dfe1a1a",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-03-28T21:27:36Z",
    "title_canon_sha256": "bafd110499b3c3eed7db22cf17eaa567c12706033d2277dc93410121b687c8f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.16317",
    "kind": "arxiv",
    "version": 5
  }
}