Pith Number

pith:MOLNDJT6

pith:2020:MOLNDJT6ZBMVOJ3DYFB2OKLJ4E

not attested not anchored not stored refs pending

Deep Neural Networks Are Effective At Learning High-Dimensional Hilbert-Valued Functions From Limited Data

Ben Adcock, Nick Dexter, Sebastian Moraga, Simone Brugiapaglia

arxiv:2012.06081 v2 · 2020-12-11 · 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{MOLNDJT6ZBMVOJ3DYFB2OKLJ4E}

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

Beyond Universal Approximation Theorems: Algorithmic Uniform Approximation by Neural Networks Trained with Noisy Data

Receipt and verification

First computed	2026-07-05T02:20:31.252776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6396d1a67ec859572763c143a72969e1017366fdb4ec76a37957c2068b7a955a

Aliases

arxiv: 2012.06081 · arxiv_version: 2012.06081v2 · doi: 10.48550/arxiv.2012.06081 · pith_short_12: MOLNDJT6ZBMV · pith_short_16: MOLNDJT6ZBMVOJ3D · pith_short_8: MOLNDJT6

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/MOLNDJT6ZBMVOJ3DYFB2OKLJ4E \
  | 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: 6396d1a67ec859572763c143a72969e1017366fdb4ec76a37957c2068b7a955a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7cbb43e88683acf99c08eb22f9c81a6ab769bc5009dc05bb62e9843be9e1a6c",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-12-11T02:02:14Z",
    "title_canon_sha256": "964564edc2b2ddfa3aa4e47f5368a7817489731159a56185d599d6fc05cac5a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.06081",
    "kind": "arxiv",
    "version": 2
  }
}