Pith Number

pith:P52R7XUG

pith:2024:P52R7XUGMRGNCALNBFVTZAB3DW

not attested not anchored not stored refs pending

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

Amin Karbasi, Peiyuan Zhang

arxiv:2412.08025 v1 · 2024-12-11 · math.OC · cs.LG · 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{P52R7XUGMRGNCALNBFVTZAB3DW}

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	2026-07-05T09:47:43.235386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f751fde86644cd1016d096b3c803b1dba201a0684a7297d27f9d58e41bd95c9

Aliases

arxiv: 2412.08025 · arxiv_version: 2412.08025v1 · doi: 10.48550/arxiv.2412.08025 · pith_short_12: P52R7XUGMRGN · pith_short_16: P52R7XUGMRGNCALN · pith_short_8: P52R7XUG

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/P52R7XUGMRGNCALNBFVTZAB3DW \
  | 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: 7f751fde86644cd1016d096b3c803b1dba201a0684a7297d27f9d58e41bd95c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9dc1b88f6e31bf290d67af8ca30581024ebad49f43cd8539ce3d19d56923c76",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-12-11T02:07:37Z",
    "title_canon_sha256": "62fd9ea22cdfc076f38f027fdee587a6da0c1a85b4fa8995cf6e477edd44d556"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.08025",
    "kind": "arxiv",
    "version": 1
  }
}