Pith Number

pith:PC4QTL4I

pith:2018:PC4QTL4IED54FLSQQPG3DE3SP5

not attested not anchored not stored refs pending

Optimal approximation of continuous functions by very deep ReLU networks

Dmitry Yarotsky

arxiv:1802.03620 v2 · 2018-02-10 · cs.NE

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PC4QTL4IED54FLSQQPG3DE3SP5}

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.

Receipt and verification

First computed	2026-05-18T00:14:00.324052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78b909af8820fbc2ae5083cdb193727f76eb862ef5e54d436ea7556bb4401247

Aliases

arxiv: 1802.03620 · arxiv_version: 1802.03620v2 · doi: 10.48550/arxiv.1802.03620 · pith_short_12: PC4QTL4IED54 · pith_short_16: PC4QTL4IED54FLSQ · pith_short_8: PC4QTL4I

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/PC4QTL4IED54FLSQQPG3DE3SP5 \
  | 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: 78b909af8820fbc2ae5083cdb193727f76eb862ef5e54d436ea7556bb4401247

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6934b2dc10d71d19629ab16a226479a16d69274809cbcf18f7eec56f27077ae9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NE",
    "submitted_at": "2018-02-10T17:01:08Z",
    "title_canon_sha256": "4fc96d42dbe705196815ecd87ee9d22aedfab0e781290416b0a4b3f53d9ca8e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.03620",
    "kind": "arxiv",
    "version": 2
  }
}