Pith Number

pith:LC6E5D6V

pith:2026:LC6E5D6VOE2QAZEJIBSQGORYUX

not attested not anchored not stored refs pending

Local linear convergence of gradient methods for overparameterized Gaussian mixtures

Jingxing Wang, Maryam Fazel, Vasileios Charisopoulos

arxiv:2605.30936 v1 · 2026-05-29 · cs.LG · math.OC · 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{LC6E5D6VOE2QAZEJIBSQGORYUX}

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	2026-06-01T01:03:26.728366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58bc4e8fd571350064894065033a38a5df4afc0ab3433c3ea2dc4cb8de75f405

Aliases

arxiv: 2605.30936 · arxiv_version: 2605.30936v1 · doi: 10.48550/arxiv.2605.30936 · pith_short_12: LC6E5D6VOE2Q · pith_short_16: LC6E5D6VOE2QAZEJ · pith_short_8: LC6E5D6V

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/LC6E5D6VOE2QAZEJIBSQGORYUX \
  | 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: 58bc4e8fd571350064894065033a38a5df4afc0ab3433c3ea2dc4cb8de75f405

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd0396f1c01d859f2a5849ff019d011fc3ec9d27fa79c00f4337659c9a80d31b",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-29T07:25:36Z",
    "title_canon_sha256": "139b3e9efc96ebb2ebedff9486d220e19fd30c5c09d49b23a531c8e7e7cf563c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30936",
    "kind": "arxiv",
    "version": 1
  }
}