Pith Number

pith:ZSLT5S2L

pith:2021:ZSLT5S2L6KOQHBIW2VKGAJKEDF

not attested not anchored not stored refs pending

High Probability Complexity Bounds for Non-Smooth Stochastic Optimization with Heavy-Tailed Noise

Alexander Gasnikov, Eduard Gorbunov, Innokentiy Shibaev, Marina Danilova, Pavel Dvurechensky

arxiv:2106.05958 v3 · 2021-06-10 · 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{ZSLT5S2L6KOQHBIW2VKGAJKEDF}

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

2 papers in Pith

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

Stochastic Optimization and Data Science

Receipt and verification

First computed	2026-07-05T09:00:51.533764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc973ecb4bf29d038516d5546025441979c833e65dc3da0098bfc0b2e79549dc

Aliases

arxiv: 2106.05958 · arxiv_version: 2106.05958v3 · doi: 10.48550/arxiv.2106.05958 · pith_short_12: ZSLT5S2L6KOQ · pith_short_16: ZSLT5S2L6KOQHBIW · pith_short_8: ZSLT5S2L

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/ZSLT5S2L6KOQHBIW2VKGAJKEDF \
  | 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: cc973ecb4bf29d038516d5546025441979c833e65dc3da0098bfc0b2e79549dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1f387dcb7b11328b55e5b766573978a8972403c8024e22272aefaa4d1dd24b0",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-06-10T17:54:21Z",
    "title_canon_sha256": "aa99b2e351499013d03a3720cf11da2c1f23a7403c04b18cb16afa38cd9da100"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.05958",
    "kind": "arxiv",
    "version": 3
  }
}