Pith Number

pith:632R7P5R

pith:2025:632R7P5R64S2MLESS2UIUZAQEG

not attested not anchored not stored refs pending

Fast Last-Iterate Convergence of SGD in the Smooth Interpolation Regime

Amit Attia, Matan Schliserman, Tomer Koren, Uri Sherman

arxiv:2507.11274 v2 · 2025-07-15 · cs.LG · math.OC · 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{632R7P5R64S2MLESS2UIUZAQEG}

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

3 papers in Pith

Perfect Parallelization in Mini-Batch SGD with Classical Momentum Acceleration

Last-Iterate Convergence of Randomized Kaczmarz and SGD with Greedy Step Size

Gradient Descent's Last Iterate is Often (slightly) Suboptimal

Receipt and verification

First computed	2026-07-05T11:44:08.957262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6f51fbfb1f725a62c9296a88a6410218161fa0970a423284229f357ee7dd46c

Aliases

arxiv: 2507.11274 · arxiv_version: 2507.11274v2 · doi: 10.48550/arxiv.2507.11274 · pith_short_12: 632R7P5R64S2 · pith_short_16: 632R7P5R64S2MLES · pith_short_8: 632R7P5R

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/632R7P5R64S2MLESS2UIUZAQEG \
  | 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: f6f51fbfb1f725a62c9296a88a6410218161fa0970a423284229f357ee7dd46c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc0a4e2333f3fcc385ee307536c943251b9f978b215164383a247af90f7c848b",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-15T12:52:47Z",
    "title_canon_sha256": "be6ece8e1e13d109f682480f4ffa7a26934f550d571d7584661f7b739f806315"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.11274",
    "kind": "arxiv",
    "version": 2
  }
}