Pith Number

pith:TGZGZKQN

pith:2025:TGZGZKQNNVV66TFODLAQ3ENCHT

not attested not anchored not stored refs pending

From Sublinear to Linear: Local Convergence in Finite-Width Networks via Locally Polyak-Lojasiewicz Regions

Agnideep Aich, Ashit Baran Aich, Bruce Wade

arxiv:2507.21429 v3 · 2025-07-29 · stat.ML · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TGZGZKQNNVV66TFODLAQ3ENCHT}

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.

Receipt and verification

First computed	2026-05-29T01:04:54.571476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99b26caa0d6d6bef4cae1ac10d91a23cd1a151fb71c90340d95ae5a844c2fc2a

Aliases

arxiv: 2507.21429 · arxiv_version: 2507.21429v3 · doi: 10.48550/arxiv.2507.21429 · pith_short_12: TGZGZKQNNVV6 · pith_short_16: TGZGZKQNNVV66TFO · pith_short_8: TGZGZKQN

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/TGZGZKQNNVV66TFODLAQ3ENCHT \
  | 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: 99b26caa0d6d6bef4cae1ac10d91a23cd1a151fb71c90340d95ae5a844c2fc2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a402b2a4124e3db192e2c03e3ac95e0745be0aeb6483185111a3d63a95dbc5e0",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2025-07-29T01:49:16Z",
    "title_canon_sha256": "6572468d4c832e3fe1ee7c898fa5a8df5345efee3d54f56c255da2e1ad032f56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.21429",
    "kind": "arxiv",
    "version": 3
  }
}