Pith Number

pith:TZQHSYNF

pith:2023:TZQHSYNFAJMUQQVMRVY6UHTTCD

not attested not anchored not stored refs pending

Grokking as a First Order Phase Transition in Two Layer Networks

Inbar Seroussi, Noa Rubin, Zohar Ringel

arxiv:2310.03789 v3 · 2023-10-05 · stat.ML · cond-mat.dis-nn · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZQHSYNFAJMUQQVMRVY6UHTTCD}

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.

Cited by

2 papers in Pith

What Does the Weight Norm Control in Grokking? Logit-Scale Mediation under Cross-Entropy

Model Capacity Determines Grokking through Competing Memorisation and Generalisation Speeds

Receipt and verification

First computed	2026-07-05T08:15:40.151568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e607961a502594842ac8d71ea1e7310cae2790f89e5f134f45566a1355edea8

Aliases

arxiv: 2310.03789 · arxiv_version: 2310.03789v3 · doi: 10.48550/arxiv.2310.03789 · pith_short_12: TZQHSYNFAJMU · pith_short_16: TZQHSYNFAJMUQQVM · pith_short_8: TZQHSYNF

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/TZQHSYNFAJMUQQVMRVY6UHTTCD \
  | 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: 9e607961a502594842ac8d71ea1e7310cae2790f89e5f134f45566a1355edea8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c7faf6f65bf4a6699e03ec30ee1b4eff7e30ba0140be54218505df33d4e5d95",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2023-10-05T18:00:01Z",
    "title_canon_sha256": "fbb701ba30a5d977e5cdde8adc45122b5f23556266651851d7ea7c6408fbc45a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.03789",
    "kind": "arxiv",
    "version": 3
  }
}