Pith Number

pith:G5TBRIGQ

pith:2026:G5TBRIGQEERJYTKUAWTU56WN27

not attested not anchored not stored refs pending

OptMuon: Closed-Loop Orthogonalized Momentum Methods for Stochastic Optimization with Zero-Noise Optimality

Ganzhao Yuan

arxiv:2606.08783 v1 · 2026-06-07 · math.OC · cs.LG · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G5TBRIGQEERJYTKUAWTU56WN27}

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	2026-06-09T02:07:39.197596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

376618a0d021229c4d5405a74efacdd7ecd5febe07b595f76e1327af74b87dba

Aliases

arxiv: 2606.08783 · arxiv_version: 2606.08783v1 · doi: 10.48550/arxiv.2606.08783 · pith_short_12: G5TBRIGQEERJ · pith_short_16: G5TBRIGQEERJYTKU · pith_short_8: G5TBRIGQ

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/G5TBRIGQEERJYTKUAWTU56WN27 \
  | 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: 376618a0d021229c4d5405a74efacdd7ecd5febe07b595f76e1327af74b87dba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92012100f822165e2abe6ae91f9dc42df27cff29d6fc3e24e4b54a1edce44c49",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-07T18:59:24Z",
    "title_canon_sha256": "27fa46d3a8376f48943984bfeed3ae5388ca0712e51cb4ac885107c68bbb6254"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08783",
    "kind": "arxiv",
    "version": 1
  }
}