Pith Number

pith:HIOQY2MQ

pith:2022:HIOQY2MQK7IJHZCQAEX2GI3FB6

not attested not anchored not stored refs pending

On Feature Learning in Neural Networks with Global Convergence Guarantees

Eric Vanden-Eijnden, Joan Bruna, Zhengdao Chen

arxiv:2204.10782 v1 · 2022-04-22 · cs.LG · math.OC · 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{HIOQY2MQK7IJHZCQAEX2GI3FB6}

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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

2 papers in Pith

Convergence of Gradient Descent for General Neural Network Architectures Beyond the NTK Regime

Gradient flow dynamics of shallow ReLU networks for square loss and orthogonal inputs

Receipt and verification

First computed	2026-07-05T04:17:01.051107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a1d0c699057d093e450012fa323650f98763b6460d135e7619ae936a2b1b76d

Aliases

arxiv: 2204.10782 · arxiv_version: 2204.10782v1 · doi: 10.48550/arxiv.2204.10782 · pith_short_12: HIOQY2MQK7IJ · pith_short_16: HIOQY2MQK7IJHZCQ · pith_short_8: HIOQY2MQ

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/HIOQY2MQK7IJHZCQAEX2GI3FB6 \
  | 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: 3a1d0c699057d093e450012fa323650f98763b6460d135e7619ae936a2b1b76d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e2d65eb604fdc11e9c8d6dd14b69356b4d6c62e1a1457b28e0abdf459596d4b",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-04-22T15:56:43Z",
    "title_canon_sha256": "15ba5bcc2ef2b2adc6dd1619d13c17823e219ab349a2691801361fb269e42912"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.10782",
    "kind": "arxiv",
    "version": 1
  }
}