Pith Number

pith:JMPDEDUJ

pith:2023:JMPDEDUJEJHZK5NLY7U4ZCXI2C

not attested not anchored not stored refs pending

The Parametric Complexity of Operator Learning

Andrew M. Stuart, Samuel Lanthaler

arxiv:2306.15924 v4 · 2023-06-28 · cs.LG · cs.NA · math.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{JMPDEDUJEJHZK5NLY7U4ZCXI2C}

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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

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

Receipt and verification

First computed	2026-07-05T10:27:04.742234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b1e320e89224f9575abc7e9cc8ae8d0bcf59982de8a2355be5f019274b6f3b3

Aliases

arxiv: 2306.15924 · arxiv_version: 2306.15924v4 · doi: 10.48550/arxiv.2306.15924 · pith_short_12: JMPDEDUJEJHZ · pith_short_16: JMPDEDUJEJHZK5NL · pith_short_8: JMPDEDUJ

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/JMPDEDUJEJHZK5NLY7U4ZCXI2C \
  | 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: 4b1e320e89224f9575abc7e9cc8ae8d0bcf59982de8a2355be5f019274b6f3b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3f59afcb603a06be9939f13d81830e2c44a210b4038a98f7713327786c83f6e",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-06-28T05:02:03Z",
    "title_canon_sha256": "625316be4ab88c6c1f7c4d99ed00c4465270550a39f374590d027174e4db4d5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.15924",
    "kind": "arxiv",
    "version": 4
  }
}