Pith Number

pith:6ULAPWET

pith:2023:6ULAPWETLZV3GEJMLVZZQRHFVP

not attested not anchored not stored refs pending

Nonlocality and Nonlinearity Implies Universality in Operator Learning

Andrew M. Stuart, Samuel Lanthaler, Zongyi Li

arxiv:2304.13221 v2 · 2023-04-26 · 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{6ULAPWETLZV3GEJMLVZZQRHFVP}

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

2 papers in Pith

Geometric Autoencoder Priors for Bayesian Inversion: Learn First Observe Later

Approximation Theory of Laplacian-Based Neural Operators for Reaction-Diffusion System

Receipt and verification

First computed	2026-07-05T08:32:08.384716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f51607d8935e6bb3112c5d739844e5abef9fe88722f5f4016b4f764781b58543

Aliases

arxiv: 2304.13221 · arxiv_version: 2304.13221v2 · doi: 10.48550/arxiv.2304.13221 · pith_short_12: 6ULAPWETLZV3 · pith_short_16: 6ULAPWETLZV3GEJM · pith_short_8: 6ULAPWET

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/6ULAPWETLZV3GEJMLVZZQRHFVP \
  | 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: f51607d8935e6bb3112c5d739844e5abef9fe88722f5f4016b4f764781b58543

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "691143d6e05c02d736c9504f9ff52af90f1a729dc760a8404b8ff7471813f97e",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2023-04-26T01:03:11Z",
    "title_canon_sha256": "c006bc2e7de669d8cdde35ed61939716d6c0017098ae03cf486f739bea54341c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.13221",
    "kind": "arxiv",
    "version": 2
  }
}