Pith Number

pith:PII5YN5E

pith:2022:PII5YN5ERDLHYOT4CKXNL52GUG

not attested not anchored not stored refs pending

Memorization and Optimization in Deep Neural Networks with Minimum Over-parameterization

Marco Mondelli, Mohammad Hossein Amani, Simone Bombari

arxiv:2205.10217 v3 · 2022-05-20 · stat.ML · cs.IT · cs.LG · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PII5YN5ERDLHYOT4CKXNL52GUG}

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	2026-07-05T06:11:55.427525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a11dc37a488d67c3a7c12aed5f746a1a43cf4d0e2946be31083efb819b1d10e

Aliases

arxiv: 2205.10217 · arxiv_version: 2205.10217v3 · doi: 10.48550/arxiv.2205.10217 · pith_short_12: PII5YN5ERDLH · pith_short_16: PII5YN5ERDLHYOT4 · pith_short_8: PII5YN5E

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/PII5YN5ERDLHYOT4CKXNL52GUG \
  | 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: 7a11dc37a488d67c3a7c12aed5f746a1a43cf4d0e2946be31083efb819b1d10e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7480df7c887953021bcb09db3c0b9dc7e0c8f2b125b9599b6f9ed0d3258b9190",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.LG",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2022-05-20T14:50:24Z",
    "title_canon_sha256": "10ab5996b63fe207111e4856399777a529c7a2a9f667c8812616ce43bb67e816"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.10217",
    "kind": "arxiv",
    "version": 3
  }
}