Pith Number

pith:XWW3EUGO

pith:2016:XWW3EUGO37IPWS3A7ZSZE44MVW

not attested not anchored not stored refs pending

Error bounds for approximations with deep ReLU networks

Dmitry Yarotsky

arxiv:1610.01145 v3 · 2016-10-03 · cs.LG · 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{XWW3EUGO37IPWS3A7ZSZE44MVW}

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	2026-05-18T00:45:19.896756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdadb250cedfd0fb4b60fe6592738cad91e0046c787b889a6a7a20f951e51817

Aliases

arxiv: 1610.01145 · arxiv_version: 1610.01145v3 · doi: 10.48550/arxiv.1610.01145 · pith_short_12: XWW3EUGO37IP · pith_short_16: XWW3EUGO37IPWS3A · pith_short_8: XWW3EUGO

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/XWW3EUGO37IPWS3A7ZSZE44MVW \
  | 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: bdadb250cedfd0fb4b60fe6592738cad91e0046c787b889a6a7a20f951e51817

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c4c050b5a76790cdf8a8221cf9a4f7794c9edf5963a5166a25ca567956cc113",
    "cross_cats_sorted": [
      "cs.NE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2016-10-03T23:08:22Z",
    "title_canon_sha256": "3a21172a5beb525c1d5fd280d50154d457a1880d685c0e9e636212bc96c48546"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01145",
    "kind": "arxiv",
    "version": 3
  }
}