Pith Number

pith:SAGL45HC

pith:2022:SAGL45HCVOC5WQHAO4TKU4HRL3

not attested not anchored not stored refs pending

Understanding Edge-of-Stability Training Dynamics with a Minimalist Example

Mo Zhou, Rong Ge, Xiang Wang, Xingyu Zhu, Zixuan Wang

arxiv:2210.03294 v2 · 2022-10-07 · 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{SAGL45HCVOC5WQHAO4TKU4HRL3}

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

2 papers in Pith

Gradient descent at the Edge of Stability: free energy model and kinetic description of the two-layer network

Generalization at the Edge of Stability

Receipt and verification

First computed	2026-07-05T05:43:58.428703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

900cbe74e2ab85db40e07726aa70f15edd0404f44a0babc4bcd60aa729aa34be

Aliases

arxiv: 2210.03294 · arxiv_version: 2210.03294v2 · doi: 10.48550/arxiv.2210.03294 · pith_short_12: SAGL45HCVOC5 · pith_short_16: SAGL45HCVOC5WQHA · pith_short_8: SAGL45HC

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/SAGL45HCVOC5WQHAO4TKU4HRL3 \
  | 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: 900cbe74e2ab85db40e07726aa70f15edd0404f44a0babc4bcd60aa729aa34be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c87eb24eac2e2b094854c029e075aeceb8ec7c57b5714cc9b91f47f638687481",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-10-07T02:57:05Z",
    "title_canon_sha256": "1fb93e5ce38c5074af2f99c3362460ae706d69138fb1e234a80fa99b181ed92f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.03294",
    "kind": "arxiv",
    "version": 2
  }
}