Pith Number

pith:ODUSAXQJ

pith:2025:ODUSAXQJRQSQZ7TR7LVJTVSX3Z

not attested not anchored not stored refs pending

Non-Euclidean SGD for Structured Optimization: Unified Analysis and Improved Rates

Dmitry Kovalev, Ekaterina Borodich

arxiv:2511.11466 v2 · 2025-11-14 · math.OC · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ODUSAXQJRQSQZ7TR7LVJTVSX3Z}

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

Symmetry-Compatible Principle for Optimizer Design: Embeddings, LM Heads, SwiGLU MLPs, and MoE Routers

Stochastic Non-Smooth Convex Optimization with Unbounded Gradients

Communication-Efficient Gluon in Federated Learning

Receipt and verification

First computed	2026-06-23T03:13:51.282210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70e9205e098c250cfe71faea99d657de5e4caa572abc3460d88a739cb491e6b7

Aliases

arxiv: 2511.11466 · arxiv_version: 2511.11466v2 · doi: 10.48550/arxiv.2511.11466 · pith_short_12: ODUSAXQJRQSQ · pith_short_16: ODUSAXQJRQSQZ7TR · pith_short_8: ODUSAXQJ

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/ODUSAXQJRQSQZ7TR7LVJTVSX3Z \
  | 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: 70e9205e098c250cfe71faea99d657de5e4caa572abc3460d88a739cb491e6b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b97e2782ec59d14a6f2b4ca78ab43b806f7450b8923c46ad94d26e247b97fad9",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-11-14T16:38:15Z",
    "title_canon_sha256": "7a3db3070d7be116d8ad76d8f69b76b44b610cf44725387be9c4c6cfcb94f870"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.11466",
    "kind": "arxiv",
    "version": 2
  }
}