Pith Number

pith:XYJ77XQ4

pith:2025:XYJ77XQ4HMFIVRZ5ZZU2FH3YVT

not attested not anchored not stored refs pending

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence

Ruixun Zhang, Yumin Xu, Zixi Chen

arxiv:2509.11039 v1 · 2025-09-14 · 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{XYJ77XQ4HMFIVRZ5ZZU2FH3YVT}

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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.

Receipt and verification

First computed	2026-07-05T12:11:32.411554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be13ffde1c3b0a8ac73dce69a29f78accb7def1746cfdd2d437b6ccb5c4fb829

Aliases

arxiv: 2509.11039 · arxiv_version: 2509.11039v1 · doi: 10.48550/arxiv.2509.11039 · pith_short_12: XYJ77XQ4HMFI · pith_short_16: XYJ77XQ4HMFIVRZ5 · pith_short_8: XYJ77XQ4

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/XYJ77XQ4HMFIVRZ5ZZU2FH3YVT \
  | 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: be13ffde1c3b0a8ac73dce69a29f78accb7def1746cfdd2d437b6ccb5c4fb829

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "524ea02064f9bda7f8735a83059686dd17e35c36220ef3805aea248376c7b6b9",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-09-14T02:06:15Z",
    "title_canon_sha256": "f7dfeb70e0faf3bc199c4d9ef85bce837eac8d4c7bf440777d6574462ca33b8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.11039",
    "kind": "arxiv",
    "version": 1
  }
}