Pith Number

pith:HHQ2EBK5

pith:2022:HHQ2EBK5HXVENLZJLDHKD6WEKE

not attested not anchored not stored refs pending

Learning threshold neurons via the "edge of stability"

Felipe Suarez, Kwangjun Ahn, S\'ebastien Bubeck, Sinho Chewi, Yin Tat Lee, Yi Zhang

arxiv:2212.07469 v2 · 2022-12-14 · cs.LG · cs.AI · 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{HHQ2EBK5HXVENLZJLDHKD6WEKE}

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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

1 paper in Pith

Criteria and Bias of Parameterized Linear Regression under Edge of Stability Regime

Receipt and verification

First computed	2026-07-05T07:02:26.564221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39e1a2055d3dea46af2958cea1fac4510b2f8464ab0f645b84626c5fff1294cc

Aliases

arxiv: 2212.07469 · arxiv_version: 2212.07469v2 · doi: 10.48550/arxiv.2212.07469 · pith_short_12: HHQ2EBK5HXVE · pith_short_16: HHQ2EBK5HXVENLZJ · pith_short_8: HHQ2EBK5

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/HHQ2EBK5HXVENLZJLDHKD6WEKE \
  | 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: 39e1a2055d3dea46af2958cea1fac4510b2f8464ab0f645b84626c5fff1294cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37fab431231a41feeeae9d8f7aad504ff09e5cdbe0f1ad59580fd9e157577e25",
    "cross_cats_sorted": [
      "cs.AI",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-12-14T19:27:03Z",
    "title_canon_sha256": "fc564a6433a9067e81824bfb4712c83fcdc3b56d60548b8972066ad063f1b46f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.07469",
    "kind": "arxiv",
    "version": 2
  }
}