Pith Number

pith:WJXU74SU

pith:2023:WJXU74SUC7CVVVFCW67MNW2ASG

not attested not anchored not stored refs pending

An Approximation Theory for Metric Space-Valued Functions With A View Towards Deep Learning

Anastasis Kratsios, Chong Liu, Ivan Dokmani\'c, Maarten V. de Hoop, Matti Lassas

arxiv:2304.12231 v2 · 2023-04-24 · cs.LG · cs.NA · cs.NE · math.NA · math.PR · 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{WJXU74SUC7CVVVFCW67MNW2ASG}

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

Weighted universal approximation of differentiable maps on infinite-dimensional manifolds

Receipt and verification

First computed	2026-07-05T06:33:45.199490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b26f4ff25417c55ad4a2b7bec6db4091bae89e40d17e95a9412d8b837dd60d21

Aliases

arxiv: 2304.12231 · arxiv_version: 2304.12231v2 · doi: 10.48550/arxiv.2304.12231 · pith_short_12: WJXU74SUC7CV · pith_short_16: WJXU74SUC7CVVVFC · pith_short_8: WJXU74SU

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/WJXU74SUC7CVVVFCW67MNW2ASG \
  | 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: b26f4ff25417c55ad4a2b7bec6db4091bae89e40d17e95a9412d8b837dd60d21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e1476d50c7228864f0516b146716a2209edbab4632a55083df5ec91e013a695",
    "cross_cats_sorted": [
      "cs.NA",
      "cs.NE",
      "math.NA",
      "math.PR",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-04-24T16:18:22Z",
    "title_canon_sha256": "8623abad6a39500f0a6a3b66ce6b272e16934814238c2decd3d1ad6489440c45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.12231",
    "kind": "arxiv",
    "version": 2
  }
}