Pith Number

pith:BBQUBRXQ

pith:2018:BBQUBRXQREJUVAJVNOKZAYBACP

not attested not anchored not stored refs pending

On exponential convergence of SGD in non-convex over-parametrized learning

Mikhail Belkin, Raef Bassily, Siyuan Ma

arxiv:1811.02564 v1 · 2018-11-06 · math.OC · cs.LG · 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{BBQUBRXQREJUVAJVNOKZAYBACP}

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	2026-05-18T00:01:21.331516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

086140c6f089134a81356b9590602013fa436e6b2f906a63408a99b113eb13a2

Aliases

arxiv: 1811.02564 · arxiv_version: 1811.02564v1 · doi: 10.48550/arxiv.1811.02564 · pith_short_12: BBQUBRXQREJU · pith_short_16: BBQUBRXQREJUVAJV · pith_short_8: BBQUBRXQ

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/BBQUBRXQREJUVAJVNOKZAYBACP \
  | 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: 086140c6f089134a81356b9590602013fa436e6b2f906a63408a99b113eb13a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "469239f4283212000190cc6e1b26d2f0f2e6f6e64a8bfef9a2946421d3222dbc",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-11-06T00:05:00Z",
    "title_canon_sha256": "be19f9e842d0ea94c2409c70eaab45a86d023465f73684ad95dc1b1feff6f6cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.02564",
    "kind": "arxiv",
    "version": 1
  }
}