Pith Number

pith:SNNGVZFR

pith:2025:SNNGVZFR25HLAWU6JJN3LXYIYH

not attested not anchored not stored refs pending

On the Interaction of Batch Noise, Adaptivity, and Compression, under $(L_0,L_1)$-Smoothness: An SDE Approach

Antonio Orvieto, Aurelien Lucchi, Eduard Gorbunov, Enea Monzio Compagnoni, Frank Norbert Proske, Rustem Islamov

arxiv:2506.00181 v2 · 2025-05-30 · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SNNGVZFR25HLAWU6JJN3LXYIYH}

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

Is your batch size the problem? Revisiting the Adam-SGD gap in language modeling

Receipt and verification

First computed	2026-05-26T01:02:26.834972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

935a6ae4b1d74eb05a9e4a5bb5df08c1c379f29ef6509abb8ae3233e71c8c08b

Aliases

arxiv: 2506.00181 · arxiv_version: 2506.00181v2 · doi: 10.48550/arxiv.2506.00181 · pith_short_12: SNNGVZFR25HL · pith_short_16: SNNGVZFR25HLAWU6 · pith_short_8: SNNGVZFR

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/SNNGVZFR25HLAWU6JJN3LXYIYH \
  | 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: 935a6ae4b1d74eb05a9e4a5bb5df08c1c379f29ef6509abb8ae3233e71c8c08b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ced386abf50f0930efc3f9d8857483ec916c78c5f9c604b283a508dbbf323e6",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-05-30T19:35:15Z",
    "title_canon_sha256": "41475a4af22228104210c13e3bc580f83b1e78292e14c01f3329396e5d4fad29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.00181",
    "kind": "arxiv",
    "version": 2
  }
}