Pith Number

pith:HRUXSC5P

pith:2023:HRUXSC5PYO7RGM6BP6EXIFKMMZ

not attested not anchored not stored refs pending

Deep Operator Network Approximation Rates for Lipschitz Operators

Andreas Stein, Christoph Schwab, Jakob Zech

arxiv:2307.09835 v1 · 2023-07-19 · math.NA · cs.LG · cs.NA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HRUXSC5PYO7RGM6BP6EXIFKMMZ}

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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

Upper Approximation Bounds for Neural Oscillators

Receipt and verification

First computed	2026-07-05T06:32:47.020751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c69790bafc3bf1333c17f8974154c6652034af95a9cf0900a6f2a529f4d97eb

Aliases

arxiv: 2307.09835 · arxiv_version: 2307.09835v1 · doi: 10.48550/arxiv.2307.09835 · pith_short_12: HRUXSC5PYO7R · pith_short_16: HRUXSC5PYO7RGM6B · pith_short_8: HRUXSC5P

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/HRUXSC5PYO7RGM6BP6EXIFKMMZ \
  | 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: 3c69790bafc3bf1333c17f8974154c6652034af95a9cf0900a6f2a529f4d97eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "793f2e27a8ca167df02a5c413403daa7d8625e96ca288303ba51e2a2695c6f4b",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2023-07-19T08:46:47Z",
    "title_canon_sha256": "f42515b3542686e6ef4acbf38d05270dc28d29ab7d9d417b6bcbcd785e4e34c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.09835",
    "kind": "arxiv",
    "version": 1
  }
}