Pith Number

pith:XXJBPSGG

pith:2021:XXJBPSGG25634V6POF3XTSV36M

not attested not anchored not stored refs pending

Convergence of gradient descent for learning linear neural networks

Gabin Maxime Nguegnang, Holger Rauhut, Ulrich Terstiege

arxiv:2108.02040 v2 · 2021-08-04 · cs.LG · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XXJBPSGG25634V6POF3XTSV36M}

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

A Local Polyak-Lojasiewicz and Descent Lemma of Gradient Descent For Overparametrized Linear Models

Receipt and verification

First computed	2026-07-05T03:34:45.923659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdd217c8c6d77dbe57cf717779cabbf3350b7af09a4c2e6692ad1dd1321c8c97

Aliases

arxiv: 2108.02040 · arxiv_version: 2108.02040v2 · doi: 10.48550/arxiv.2108.02040 · pith_short_12: XXJBPSGG2563 · pith_short_16: XXJBPSGG25634V6P · pith_short_8: XXJBPSGG

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/XXJBPSGG25634V6POF3XTSV36M \
  | 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: bdd217c8c6d77dbe57cf717779cabbf3350b7af09a4c2e6692ad1dd1321c8c97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e11a8c68a9cb40a804cd0628c239c003dfcbf9ee36144a81b40bf717c0debaf",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-08-04T13:10:30Z",
    "title_canon_sha256": "413165efe0e78318f1cb842bbad1f30314c322788b571f262ec4ef2a08d78152"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.02040",
    "kind": "arxiv",
    "version": 2
  }
}