Pith Number

pith:WSDVWHG2

pith:2024:WSDVWHG23FJTRVT46DZGX2SZPI

not attested not anchored not stored refs pending

What is the long-run distribution of stochastic gradient descent? A large deviations analysis

Franck Iutzeler, J\'er\^ome Malick, Panayotis Mertikopoulos, Wa\"iss Azizian

arxiv:2406.09241 v3 · 2024-06-13 · math.OC · cs.LG · math.PR · 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{WSDVWHG23FJTRVT46DZGX2SZPI}

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

Shuffling the Data, Stretching the Step-size: Sharper Bias in constant step-size SGD

Receipt and verification

First computed	2026-05-20T00:04:04.615168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4875b1cdad95338d67cf0f26bea597a28dfff713115a42afa01198af44de4f1

Aliases

arxiv: 2406.09241 · arxiv_version: 2406.09241v3 · doi: 10.48550/arxiv.2406.09241 · pith_short_12: WSDVWHG23FJT · pith_short_16: WSDVWHG23FJTRVT4 · pith_short_8: WSDVWHG2

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/WSDVWHG23FJTRVT46DZGX2SZPI \
  | 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: b4875b1cdad95338d67cf0f26bea597a28dfff713115a42afa01198af44de4f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bde8b4acee36ab3df3a62bb1602805d5dae410468a2e67588a169d06b188ce2",
    "cross_cats_sorted": [
      "cs.LG",
      "math.PR",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-06-13T15:44:23Z",
    "title_canon_sha256": "a3073db43dec8a99d684ad40268f7e8ce62d66e3cd0ba2258b1b01fb93f7722d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.09241",
    "kind": "arxiv",
    "version": 3
  }
}