Pith Number

pith:XM6DTJRU

pith:2019:XM6DTJRUNBNJPWQR3DEV7GRSHY

not attested not anchored not stored refs pending

Deep Neural Network Approximation Theory

Dennis Elbr\"achter, Dmytro Perekrestenko, Helmut B\"olcskei, Philipp Grohs

arxiv:1901.02220 v4 · 2019-01-08 · cs.LG · cs.IT · math.IT · 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{XM6DTJRUNBNJPWQR3DEV7GRSHY}

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

Robust and Resource Efficient Identification of Two Hidden Layer Neural Networks

Receipt and verification

First computed	2026-07-05T02:22:20.567438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb3c39a634685a97da11d8c95f9a323e016f8b2179ac14495a8c1ae3334503b3

Aliases

arxiv: 1901.02220 · arxiv_version: 1901.02220v4 · doi: 10.48550/arxiv.1901.02220 · pith_short_12: XM6DTJRUNBNJ · pith_short_16: XM6DTJRUNBNJPWQR · pith_short_8: XM6DTJRU

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/XM6DTJRUNBNJPWQR3DEV7GRSHY \
  | 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: bb3c39a634685a97da11d8c95f9a323e016f8b2179ac14495a8c1ae3334503b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79b54fb7bc902d83f09bb15d2d7880fa7c26d4d81f73a84f9d56ad18445621b8",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-01-08T09:41:27Z",
    "title_canon_sha256": "d425fe1bafc61e1eb3233e8e561f01f816091e5b1c223d301e2512a74e0008bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.02220",
    "kind": "arxiv",
    "version": 4
  }
}