Pith Number

pith:B7MLTWPV

pith:2021:B7MLTWPVTNPKN3KNXMPAI6IBDY

not attested not anchored not stored refs pending

Convergence rates for shallow neural networks learned by gradient descent

Alina Braun, Harro Walk, Michael Kohler, Sophie Langer

arxiv:2107.09550 v2 · 2021-07-20 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B7MLTWPVTNPKN3KNXMPAI6IBDY}

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	2026-07-05T06:42:15.262900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fd8b9d9f59b5ea6ed4dbb1e0479011e10311977f3c3474fcc5b7d10be7c2601

Aliases

arxiv: 2107.09550 · arxiv_version: 2107.09550v2 · doi: 10.48550/arxiv.2107.09550 · pith_short_12: B7MLTWPVTNPK · pith_short_16: B7MLTWPVTNPKN3KN · pith_short_8: B7MLTWPV

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/B7MLTWPVTNPKN3KNXMPAI6IBDY \
  | 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: 0fd8b9d9f59b5ea6ed4dbb1e0479011e10311977f3c3474fcc5b7d10be7c2601

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c521431331dec8b29d13c69867fa7027a7b4867156a94abfcdeddbd1d2b373de",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2021-07-20T15:10:03Z",
    "title_canon_sha256": "a7b09de511c50e3ed1296d44e4158ef1c5fe8a4a9609e31d0f69a36da69d69db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.09550",
    "kind": "arxiv",
    "version": 2
  }
}