Pith Number

pith:R7KUQSP3

pith:2025:R7KUQSP3X7L3VNSYAC7NPGB5X3

not attested not anchored not stored refs pending

Transformers Learn to Implement Multi-step Gradient Descent with Chain of Thought

Jason D. Lee, Jianhao Huang, Zixuan Wang

arxiv:2502.21212 v1 · 2025-02-28 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R7KUQSP3X7L3VNSYAC7NPGB5X3}

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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

Transformers Provably Learn to Internalize Chain-of-Thought

Scaling Latent Reasoning via Looped Language Models

The Power of Power Law: Asymmetry Enables Compositional Reasoning

Receipt and verification

First computed	2026-07-05T10:21:46.290865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fd54849fbbfd7bab65800bed7983dbee1b98b9afce8dfbd05f7c56d6e703267

Aliases

arxiv: 2502.21212 · arxiv_version: 2502.21212v1 · doi: 10.48550/arxiv.2502.21212 · pith_short_12: R7KUQSP3X7L3 · pith_short_16: R7KUQSP3X7L3VNSY · pith_short_8: R7KUQSP3

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/R7KUQSP3X7L3VNSYAC7NPGB5X3 \
  | 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: 8fd54849fbbfd7bab65800bed7983dbee1b98b9afce8dfbd05f7c56d6e703267

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eff0ee39ad03c5432db0ae491039b332c2a335ceefdad577db0734c80bf68d03",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-02-28T16:40:38Z",
    "title_canon_sha256": "ad4adb0996e864286319e16f79b019652988432cbdf063c5a60497ce19a06f10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.21212",
    "kind": "arxiv",
    "version": 1
  }
}