Pith Number

pith:2JZ5MTG3

pith:2025:2JZ5MTG3EP6RQBZTXK7SVFOT3F

not attested not anchored not stored refs pending

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters

Mathukumalli Vidyasagar

arxiv:2506.11904 v2 · 2025-06-13 · 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{2JZ5MTG3EP6RQBZTXK7SVFOT3F}

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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

On the Provable Suboptimality of Momentum SGD in Nonstationary Stochastic Optimization

Receipt and verification

First computed	2026-07-05T12:07:38.876749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d273d64cdb23fd180733babf2a95d3d9747bddaaa16b9d6f6849915597855e52

Aliases

arxiv: 2506.11904 · arxiv_version: 2506.11904v2 · doi: 10.48550/arxiv.2506.11904 · pith_short_12: 2JZ5MTG3EP6R · pith_short_16: 2JZ5MTG3EP6RQBZT · pith_short_8: 2JZ5MTG3

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/2JZ5MTG3EP6RQBZTXK7SVFOT3F \
  | 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: d273d64cdb23fd180733babf2a95d3d9747bddaaa16b9d6f6849915597855e52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ba3f045c8f8cb7b2e733aea17f6f490a1d4f148f08e24a4de9f516cb43f6acc",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-13T15:53:17Z",
    "title_canon_sha256": "d7ac8453f108be1755892a7335fa506015ea50e2d660a39ac6a34b29db1a3f6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.11904",
    "kind": "arxiv",
    "version": 2
  }
}