Pith Number

pith:XORUO7RH

pith:2024:XORUO7RHA7YZO6BECWZIZS6PEI

not attested not anchored not stored refs pending

The Sample Complexity of Gradient Descent in Stochastic Convex Optimization

Roi Livni

arxiv:2404.04931 v2 · 2024-04-07 · cs.LG · 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{XORUO7RHA7YZO6BECWZIZS6PEI}

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

Mirror Descent Beyond Euclidean Stability: An Exponential Separation in Initialization Sensitivity

Receipt and verification

First computed	2026-07-05T08:06:48.311992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bba3477e2707f197782415b28ccbcf222421da5b0cca1db4f718face4aeb3ca7

Aliases

arxiv: 2404.04931 · arxiv_version: 2404.04931v2 · doi: 10.48550/arxiv.2404.04931 · pith_short_12: XORUO7RHA7YZ · pith_short_16: XORUO7RHA7YZO6BE · pith_short_8: XORUO7RH

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/XORUO7RHA7YZO6BECWZIZS6PEI \
  | 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: bba3477e2707f197782415b28ccbcf222421da5b0cca1db4f718face4aeb3ca7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf47c04afcbc8b4d2cd8a4afd20acdd8d86bf272725f2e696a064307f528680e",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-04-07T12:07:33Z",
    "title_canon_sha256": "881067d502118d9ae5fe3b3e832a55ad817bd7c15ec4bd84d5a157395c399289"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.04931",
    "kind": "arxiv",
    "version": 2
  }
}