Pith Number

pith:IQ7RFFOC

pith:2025:IQ7RFFOCCLH6ERUKU2PQG4L5I3

not attested not anchored not stored refs pending

Lower Bounds for Chain-of-Thought Reasoning in Hard-Attention Transformers

Alireza Amiri, Mark Rofin, Michael Hahn, Xinting Huang

arxiv:2502.02393 v3 · 2025-02-04 · cs.LG · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IQ7RFFOCCLH6ERUKU2PQG4L5I3}

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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

Agentic Transformers Provably Learn to Search via Reinforcement Learning

On the Spatiotemporal Dynamics of Generalization in Neural Networks

Towards Reasoning Era: A Survey of Long Chain-of-Thought for Reasoning Large Language Models

Receipt and verification

First computed	2026-07-05T11:35:53.227082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

443f1295c212cfe2468aa69f03717d46f63fe112e4a92cdd69a2f1fc0b0ffb8a

Aliases

arxiv: 2502.02393 · arxiv_version: 2502.02393v3 · doi: 10.48550/arxiv.2502.02393 · pith_short_12: IQ7RFFOCCLH6 · pith_short_16: IQ7RFFOCCLH6ERUK · pith_short_8: IQ7RFFOC

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/IQ7RFFOCCLH6ERUKU2PQG4L5I3 \
  | 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: 443f1295c212cfe2468aa69f03717d46f63fe112e4a92cdd69a2f1fc0b0ffb8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c50a41e7ebf1457e0769f50b7839fede6be17617a33dd4b92c244e620be871ee",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-02-04T15:14:01Z",
    "title_canon_sha256": "d459348ff3c5616284a36c3333714f311685ee8fc502211365d7f1723136b311"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.02393",
    "kind": "arxiv",
    "version": 3
  }
}