Pith Number

pith:KODZOQYP

pith:2021:KODZOQYPCWNKGFHRTRBMWJFQYB

not attested not anchored not stored refs pending

On the Role of Optimization in Double Descent: A Least Squares Study

Amal Rannen-Triki, Csaba Szepesv\'ari, Ilja Kuzborskij, Omar Rivasplata, Razvan Pascanu

arxiv:2107.12685 v1 · 2021-07-27 · 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{KODZOQYPCWNKGFHRTRBMWJFQYB}

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	2026-07-05T03:00:59.631537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

538797430f159aa314f19c42cb24b0c065f9372a148f1e06f87ba1aad05dbcae

Aliases

arxiv: 2107.12685 · arxiv_version: 2107.12685v1 · doi: 10.48550/arxiv.2107.12685 · pith_short_12: KODZOQYPCWNK · pith_short_16: KODZOQYPCWNKGFHR · pith_short_8: KODZOQYP

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/KODZOQYPCWNKGFHRTRBMWJFQYB \
  | 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: 538797430f159aa314f19c42cb24b0c065f9372a148f1e06f87ba1aad05dbcae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb5033cf645f4d8c517812ab773f6db6c8c547f72bce01ff130860380b9d0d57",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-07-27T09:13:11Z",
    "title_canon_sha256": "a647a63e47e3f3c4545bd6a5f7ddcca3554a17a248f7cffad60d09416868fabc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.12685",
    "kind": "arxiv",
    "version": 1
  }
}