Pith Number

pith:JOVJU5JA

pith:2024:JOVJU5JALXNBHUW4QG2ENTYSXU

not attested not anchored not stored refs pending

Transformers Provably Solve Parity Efficiently with Chain of Thought

Juno Kim, Taiji Suzuki

arxiv:2410.08633 v3 · 2024-10-11 · cs.LG · 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{JOVJU5JALXNBHUW4QG2ENTYSXU}

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

6 papers in Pith

Transformers Provably Learn to Internalize Chain-of-Thought

Agentic Transformers Provably Learn to Search via Reinforcement Learning

Learning through Internalization

Learning to Think from Multiple Thinkers

The Power of Power Law: Asymmetry Enables Compositional Reasoning

Receipt and verification

First computed	2026-07-05T10:28:24.149030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4baa9a75205dda13d2dc81b446cf12bd3c376a66a094e594c3fbf283ffed3732

Aliases

arxiv: 2410.08633 · arxiv_version: 2410.08633v3 · doi: 10.48550/arxiv.2410.08633 · pith_short_12: JOVJU5JALXNB · pith_short_16: JOVJU5JALXNBHUW4 · pith_short_8: JOVJU5JA

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/JOVJU5JALXNBHUW4QG2ENTYSXU \
  | 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: 4baa9a75205dda13d2dc81b446cf12bd3c376a66a094e594c3fbf283ffed3732

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdeb8d84d67909fa4d7ca2b803cc79e098ffbf8b1ea90b19e09ba4b6ccac8c32",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-10-11T08:55:17Z",
    "title_canon_sha256": "448b0bd0febfb18dfc84fa556aa49fdca8806ea8007219392fc5d14d9b0cb499"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.08633",
    "kind": "arxiv",
    "version": 3
  }
}