Pith Number

pith:ZQNPQL23

pith:2026:ZQNPQL236TGFWHLFRL56JBMCQK

not attested not anchored not stored refs pending

Step-Size Stability in Stochastic Optimization: A Theoretical Perspective

Adrien Taylor, Fabian Schaipp, Robert M. Gower

arxiv:2602.09842 v2 · 2026-02-10 · 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{ZQNPQL236TGFWHLFRL56JBMCQK}

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	2026-05-27T02:05:11.803195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc1af82f5bf4cc5b1d658afbe48582828cdfc4e7b3e00b9c5eda4649fa38b07d

Aliases

arxiv: 2602.09842 · arxiv_version: 2602.09842v2 · doi: 10.48550/arxiv.2602.09842 · pith_short_12: ZQNPQL236TGF · pith_short_16: ZQNPQL236TGFWHLF · pith_short_8: ZQNPQL23

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/ZQNPQL236TGFWHLFRL56JBMCQK \
  | 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: cc1af82f5bf4cc5b1d658afbe48582828cdfc4e7b3e00b9c5eda4649fa38b07d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94482a847ac2bd3e2a81133856c854e3bbec0f27b4c15b0bf864fde0fa4ede02",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-02-10T14:46:14Z",
    "title_canon_sha256": "4893a99b60661544f75c5cb39d311b39eb2a2b64b623f3ce8a68706daa537b66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.09842",
    "kind": "arxiv",
    "version": 2
  }
}