Pith Number

pith:LAZA5ELY

pith:2021:LAZA5ELYDC7U64MPMEUC2KBR6K

not attested not anchored not stored refs pending

Non-Asymptotic Analysis of Online Multiplicative Stochastic Gradient Descent

Riddhiman Bhattacharya, Tiefeng Jiang

arxiv:2112.07110 v9 · 2021-12-14 · stat.ML · cs.LG · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LAZA5ELYDC7U64MPMEUC2KBR6K}

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	2026-07-05T05:47:01.452267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58320e917818bf4f718f61282d2831f2a1b928aabd63063caf21d792dd9cbd6b

Aliases

arxiv: 2112.07110 · arxiv_version: 2112.07110v9 · doi: 10.48550/arxiv.2112.07110 · pith_short_12: LAZA5ELYDC7U · pith_short_16: LAZA5ELYDC7U64MP · pith_short_8: LAZA5ELY

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/LAZA5ELYDC7U64MPMEUC2KBR6K \
  | 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: 58320e917818bf4f718f61282d2831f2a1b928aabd63063caf21d792dd9cbd6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52b43c7b475df01c682db6b41e125ad66a96f8c6b003e564641f77118a91ef1a",
    "cross_cats_sorted": [
      "cs.LG",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2021-12-14T02:25:43Z",
    "title_canon_sha256": "e378684c3810af76b21e734251afe1fe7efe3c1c3c6677f13350aa1135f9bd91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.07110",
    "kind": "arxiv",
    "version": 9
  }
}