Pith Number

pith:DN5NG37G

pith:2026:DN5NG37G7L3PL7UQUDGYOCYKN3

not attested not anchored not stored refs pending

High-Probability Guarantees for Random Zeroth-Order Gradient Descent on Smooth Functions

Haishan Ye

arxiv:2605.26547 v1 · 2026-05-26 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DN5NG37G7L3PL7UQUDGYOCYKN3}

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

1 paper in Pith

High-Probability Last-Iterate Guarantees for Two-Point Gaussian Zeroth-Order Stochastic Gradient Descent

Receipt and verification

First computed	2026-05-27T01:05:25.854497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b7ad36fe6faf6f5fe90a0cd870b0a6ed933904175274c37f5867971931dd615

Aliases

arxiv: 2605.26547 · arxiv_version: 2605.26547v1 · doi: 10.48550/arxiv.2605.26547 · pith_short_12: DN5NG37G7L3P · pith_short_16: DN5NG37G7L3PL7UQ · pith_short_8: DN5NG37G

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/DN5NG37G7L3PL7UQUDGYOCYKN3 \
  | 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: 1b7ad36fe6faf6f5fe90a0cd870b0a6ed933904175274c37f5867971931dd615

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ff2c6602a29fa23c5c0ba006edbb88a3895e4290a6bd797c181127547f75aeb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-26T04:56:24Z",
    "title_canon_sha256": "877c4cd60642c7bd3d241f11f514d0e6078d47f3d41d7193afe7363174c4ad19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26547",
    "kind": "arxiv",
    "version": 1
  }
}