Pith Number

pith:APWY3XO6

pith:2023:APWY3XO675ZRPR24A6MWBQ25ZR

not attested not anchored not stored refs pending

On Learning Gaussian Multi-index Models with Gradient Flow

Alberto Bietti, Joan Bruna, Loucas Pillaud-Vivien

arxiv:2310.19793 v2 · 2023-10-30 · stat.ML · cs.LG · math.OC

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\usepackage{pith}
\pithnumber{APWY3XO675ZRPR24A6MWBQ25ZR}

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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

6 papers in Pith

Incremental Learning in Mirror Flows

Learning Sparse Compositional Functions with Norm-Constrained Neural Networks

Uniform-in-Time Weak Propagation-of-Chaos in Shallow Neural Networks

Average Gradient Outer Product in kernel regression provably recovers the central subspace for multi-index models

Scaling Laws from Sequential Feature Recovery: A Solvable Hierarchical Model

Receipt and verification

First computed	2026-07-05T07:08:13.853377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03ed8ddddeff7317c75c079960c35dcc42ecd47c673a844fde99059f856d0773

Aliases

arxiv: 2310.19793 · arxiv_version: 2310.19793v2 · doi: 10.48550/arxiv.2310.19793 · pith_short_12: APWY3XO675ZR · pith_short_16: APWY3XO675ZRPR24 · pith_short_8: APWY3XO6

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/APWY3XO675ZRPR24A6MWBQ25ZR \
  | 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: 03ed8ddddeff7317c75c079960c35dcc42ecd47c673a844fde99059f856d0773

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52c478084dca5140a0b0cf72542291c6125a9fb43e307d1a4cf0bb2e3c5d7422",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2023-10-30T17:55:28Z",
    "title_canon_sha256": "80551ca997cfddc7fd7a8293d034c812009498d059456be16e35719ce8a5823d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.19793",
    "kind": "arxiv",
    "version": 2
  }
}