Pith Number

pith:SRU6RG4W

pith:2023:SRU6RG4WUW63WLRE4IQOWPQ32V

not attested not anchored not stored refs pending

Uniform-in-Time Wasserstein Stability Bounds for (Noisy) Stochastic Gradient Descent

Anant Raj, Lingjiong Zhu, Mert Gurbuzbalaban, Umut Simsekli

arxiv:2305.12056 v2 · 2023-05-20 · stat.ML · 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{SRU6RG4WUW63WLRE4IQOWPQ32V}

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	2026-07-05T07:06:27.276574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9469e89b96a5bdbb2e24e220eb3e1bd56ea45313a9bcdad0b0876ad4097206ad

Aliases

arxiv: 2305.12056 · arxiv_version: 2305.12056v2 · doi: 10.48550/arxiv.2305.12056 · pith_short_12: SRU6RG4WUW63 · pith_short_16: SRU6RG4WUW63WLRE · pith_short_8: SRU6RG4W

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/SRU6RG4WUW63WLRE4IQOWPQ32V \
  | 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: 9469e89b96a5bdbb2e24e220eb3e1bd56ea45313a9bcdad0b0876ad4097206ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdfb5cbab1b1acaa301f7e30a4e362c57b9286af110825976be42bb114f31c47",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2023-05-20T01:49:58Z",
    "title_canon_sha256": "c0ef76c43b5ec3181f68c566e56c15e49c55d65f2eab3bb92ad8874fee14a6e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.12056",
    "kind": "arxiv",
    "version": 2
  }
}