Pith Number

pith:5T5WPHL4

pith:2021:5T5WPHL4XV55S26SVEYR2NQWFE

not attested not anchored not stored refs pending

Learning through atypical "phase transitions" in overparameterized neural networks

Carlo Baldassi, Clarissa Lauditi, Enrico M. Malatesta, Gabriele Perugini, Riccardo Zecchina, Rosalba Pacelli

arxiv:2110.00683 v2 · 2021-10-01 · cs.LG · cond-mat.dis-nn · math.PR · 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{5T5WPHL4XV55S26SVEYR2NQWFE}

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	2026-07-05T04:43:34.744969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecfb679d7cbd7bd96bd2a9311d3616290dfd25d4266051430e4270ea0434272a

Aliases

arxiv: 2110.00683 · arxiv_version: 2110.00683v2 · doi: 10.48550/arxiv.2110.00683 · pith_short_12: 5T5WPHL4XV55 · pith_short_16: 5T5WPHL4XV55S26S · pith_short_8: 5T5WPHL4

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/5T5WPHL4XV55S26SVEYR2NQWFE \
  | 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: ecfb679d7cbd7bd96bd2a9311d3616290dfd25d4266051430e4270ea0434272a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8a8a36a9f89153df676b5fe7caa343659d92e4851b29cd5c7aa324a32b53fc0",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math.PR",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-10-01T23:28:07Z",
    "title_canon_sha256": "e9314069280827d7d383ae4eccf91636a06c5ac5ce24744b56a06e392903fd0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.00683",
    "kind": "arxiv",
    "version": 2
  }
}