Pith Number

pith:YYLUJBPA

pith:2021:YYLUJBPA6RBAI32UHZYHUE535I

not attested not anchored not stored refs pending

Asymptotic Risk of Overparameterized Likelihood Models: Double Descent Theory for Deep Neural Networks

Masaaki Imaizumi, Ryumei Nakada

arxiv:2103.00500 v2 · 2021-02-28 · stat.ML · cs.LG · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YYLUJBPA6RBAI32UHZYHUE535I}

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	2026-07-05T02:22:41.328679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6174485e0f442046f543e707a13bbea19eb3da50650a8b6fca0fd2a5947591a

Aliases

arxiv: 2103.00500 · arxiv_version: 2103.00500v2 · doi: 10.48550/arxiv.2103.00500 · pith_short_12: YYLUJBPA6RBA · pith_short_16: YYLUJBPA6RBAI32U · pith_short_8: YYLUJBPA

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/YYLUJBPA6RBAI32UHZYHUE535I \
  | 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: c6174485e0f442046f543e707a13bbea19eb3da50650a8b6fca0fd2a5947591a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93620fbc9fb1339205cbe0e244a4db4748ec85494b571922b94017736d5adaff",
    "cross_cats_sorted": [
      "cs.LG",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2021-02-28T13:02:08Z",
    "title_canon_sha256": "165dea8805d919d4882d48e18393b7310d1f3dad44c3fd46f9e4863c8e5ae67c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.00500",
    "kind": "arxiv",
    "version": 2
  }
}