Pith Number

pith:GXAACNJW

pith:2022:GXAACNJW2EMSPS5SDCZ5VWB35N

not attested not anchored not stored refs pending

High-dimensional limit theorems for SGD: Effective dynamics and critical scaling

Aukosh Jagannath, Gerard Ben Arous, Reza Gheissari

arxiv:2206.04030 v4 · 2022-06-08 · stat.ML · cs.LG · math.PR · math.ST · stat.TH

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GXAACNJW2EMSPS5SDCZ5VWB35N}

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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

4 papers in Pith

Homogenization of $\ell_2$-Adversarial Training in High-Dimensions: Exact Dynamics under Stochastic Gradient Descent

A Theory of Saddle Escape in Deep Nonlinear Networks

Receipt and verification

First computed	2026-07-05T06:42:16.676715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35c0013536d11927cbb218b3dad83beb582d176ff16b880fe5965264b6c7eb08

Aliases

arxiv: 2206.04030 · arxiv_version: 2206.04030v4 · doi: 10.48550/arxiv.2206.04030 · pith_short_12: GXAACNJW2EMS · pith_short_16: GXAACNJW2EMSPS5S · pith_short_8: GXAACNJW

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/GXAACNJW2EMSPS5SDCZ5VWB35N \
  | 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: 35c0013536d11927cbb218b3dad83beb582d176ff16b880fe5965264b6c7eb08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e60d2e18b5554bc71b469b0cc684cdcd99a439bb83dd111077a1672e1d43114",
    "cross_cats_sorted": [
      "cs.LG",
      "math.PR",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2022-06-08T17:42:18Z",
    "title_canon_sha256": "744e4c98dee997d100aeba36be5e92c8dc9e71a6f2b2606658bcd89a99fde481"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.04030",
    "kind": "arxiv",
    "version": 4
  }
}