Pith Number

pith:22Q4326B

pith:2022:22Q4326B4MDBIJCJQHGJ6G3QE3

not attested not anchored not stored refs pending

Phase diagram of Stochastic Gradient Descent in high-dimensional two-layer neural networks

Bruno Loureiro, Florent Krzakala, Lenka Zdeborov\'a, Ludovic Stephan, Rodrigo Veiga

arxiv:2202.00293 v4 · 2022-02-01 · stat.ML · cond-mat.dis-nn · cs.LG

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\usepackage{pith}
\pithnumber{22Q4326B4MDBIJCJQHGJ6G3QE3}

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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

1 paper in Pith

Limit Theorems for Stochastic Gradient Descent in High-Dimensional Single-Layer Networks

Receipt and verification

First computed	2026-07-05T06:20:34.299692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6a1cdebc1e30614244981cc9f1b7026f7ea8305ef2d44c77ac9ae36001b9086

Aliases

arxiv: 2202.00293 · arxiv_version: 2202.00293v4 · doi: 10.48550/arxiv.2202.00293 · pith_short_12: 22Q4326B4MDB · pith_short_16: 22Q4326B4MDBIJCJ · pith_short_8: 22Q4326B

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/22Q4326B4MDBIJCJQHGJ6G3QE3 \
  | 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: d6a1cdebc1e30614244981cc9f1b7026f7ea8305ef2d44c77ac9ae36001b9086

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40b9ac1da4584dc74fe9259c5f17aa19ebedb22c5d1f0cd768255c3565de505b",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2022-02-01T09:45:07Z",
    "title_canon_sha256": "2ff6a5277b6309f1bdb19f802af601e0c379f7e3dc837b9932564c2b225a7995"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.00293",
    "kind": "arxiv",
    "version": 4
  }
}