Pith Number

pith:OBQMTU4B

pith:2021:OBQMTU4BXF7V6WSDBFL5TBDNAX

not attested not anchored not stored refs pending

The Convergence Rate of SGD's Final Iterate: Analysis on Dimension Dependence

Daogao Liu, Zhou Lu

arxiv:2106.14588 v1 · 2021-06-28 · 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{OBQMTU4BXF7V6WSDBFL5TBDNAX}

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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

New Bounds for the Last Iterate of the Stochastic subGradient Method

Receipt and verification

First computed	2026-07-05T02:52:51.934392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7060c9d381b97f5f5a430957d9846d05eb00696fe748fc204f539a3d4b0eb904

Aliases

arxiv: 2106.14588 · arxiv_version: 2106.14588v1 · doi: 10.48550/arxiv.2106.14588 · pith_short_12: OBQMTU4BXF7V · pith_short_16: OBQMTU4BXF7V6WSD · pith_short_8: OBQMTU4B

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/OBQMTU4BXF7V6WSDBFL5TBDNAX \
  | 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: 7060c9d381b97f5f5a430957d9846d05eb00696fe748fc204f539a3d4b0eb904

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d0c4a5a13e02f5b593b09efe42a20b0a2c15c953607e08b105c5650f4830605",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-06-28T11:51:04Z",
    "title_canon_sha256": "4390ca00b405260df8e626ae9ffbc9519990d53150ac4ef320af45dcceec9509"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.14588",
    "kind": "arxiv",
    "version": 1
  }
}