Pith Number

pith:CTUMD433

pith:2024:CTUMD4333JF5CCIBXUUSOWENFW

not attested not anchored not stored refs pending

Unified View of Grokking, Double Descent and Emergent Abilities: A Perspective from Circuits Competition

Maosong Sun, Shengding Hu, Xu Han, Yufei Huang, Zhiyuan Liu

arxiv:2402.15175 v2 · 2024-02-23 · 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{CTUMD4333JF5CCIBXUUSOWENFW}

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

3 papers in Pith

Slower Generalization, Faster Memorization: A Sweet Spot in Algorithmic Learning

Unveiling Memorization-Generalization Coexistence: A Case Study on Arithmetic Tasks with Label Noise

Model Capacity Determines Grokking through Competing Memorisation and Generalisation Speeds

Receipt and verification

First computed	2026-07-05T07:49:18.706358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14e8c1f37bda4bd10901bd2927588d2daa1793aa0268f18314ebd36d69a2b903

Aliases

arxiv: 2402.15175 · arxiv_version: 2402.15175v2 · doi: 10.48550/arxiv.2402.15175 · pith_short_12: CTUMD4333JF5 · pith_short_16: CTUMD4333JF5CCIB · pith_short_8: CTUMD433

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/CTUMD4333JF5CCIBXUUSOWENFW \
  | 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: 14e8c1f37bda4bd10901bd2927588d2daa1793aa0268f18314ebd36d69a2b903

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbfb835eb745137b8e961b5783bc959f025989268bfe8b34514100c78803733b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-02-23T08:14:36Z",
    "title_canon_sha256": "a1a1ec83acd8df66f07615ee5fb23cee1e47d2b3c9fde1128d82a55ab131a648"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.15175",
    "kind": "arxiv",
    "version": 2
  }
}