Pith Number

pith:65TZVNWI

pith:2026:65TZVNWIIPKGBUZZDSJYM7KU7U

not attested not anchored not stored refs pending

SGD at the Edge of Stability: Stochastic Stabilization with Large Learning Rates

Konstantinos Emmanouilidis, Lachlan MacDonald, Rene Vidal, Salma Tarmoun

arxiv:2606.30930 v1 · 2026-06-29 · stat.ML · 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{65TZVNWIIPKGBUZZDSJYM7KU7U}

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	2026-07-01T00:17:21.957947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7679ab6c843d460d3391c93867d54fd279960cb28ae6a513ff34014f10fc337

Aliases

arxiv: 2606.30930 · arxiv_version: 2606.30930v1 · doi: 10.48550/arxiv.2606.30930 · pith_short_12: 65TZVNWIIPKG · pith_short_16: 65TZVNWIIPKGBUZZ · pith_short_8: 65TZVNWI

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/65TZVNWIIPKGBUZZDSJYM7KU7U \
  | 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: f7679ab6c843d460d3391c93867d54fd279960cb28ae6a513ff34014f10fc337

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ef1c379fe235c548ecfb1e98947be48daa5bd57c38fe6749a68adf0542b4d64",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-06-29T21:32:58Z",
    "title_canon_sha256": "145cab1141751638c06d5b737eb4173e81a318b3ab9a135323cebbf827faca1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30930",
    "kind": "arxiv",
    "version": 1
  }
}