Pith Number

pith:TOXC37LU

pith:2023:TOXC37LUO2QWLVWYUCTMZEIMSG

not attested not anchored not stored refs pending

Adaptive quadratures for nonlinear approximation of low-dimensional PDEs using smooth neural networks

Alexandre Magueresse, Santiago Badia

arxiv:2303.11617 v3 · 2023-03-21 · math.NA · 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{TOXC37LUO2QWLVWYUCTMZEIMSG}

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

Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples

Receipt and verification

First computed	2026-07-05T07:29:26.081499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bae2dfd7476a165d6d8a0a6cc910c91a96828a7711a0ea4eb64a8f92b6267e0

Aliases

arxiv: 2303.11617 · arxiv_version: 2303.11617v3 · doi: 10.48550/arxiv.2303.11617 · pith_short_12: TOXC37LUO2QW · pith_short_16: TOXC37LUO2QWLVWY · pith_short_8: TOXC37LU

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/TOXC37LUO2QWLVWYUCTMZEIMSG \
  | 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: 9bae2dfd7476a165d6d8a0a6cc910c91a96828a7711a0ea4eb64a8f92b6267e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddfa35febae522c276e5d6fe0ed3f51f244573a772b914343bccae776858e933",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2023-03-21T06:26:19Z",
    "title_canon_sha256": "943b23c7f9e42c10f29e33da545d51ee1f4e1592237c3907620a9d29be7b8660"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.11617",
    "kind": "arxiv",
    "version": 3
  }
}