Pith Number

pith:I72LLOEL

pith:2024:I72LLOELDI2PWU25U2RCYRRT27

not attested not anchored not stored refs pending

Unveiling Induction Heads: Provable Training Dynamics and Feature Learning in Transformers

Heejune Sheen, Siyu Chen, Tianhao Wang, Zhuoran Yang

arxiv:2409.10559 v1 · 2024-09-09 · cs.LG · cs.AI · cs.CL · math.OC · 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{I72LLOELDI2PWU25U2RCYRRT27}

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

Why Muon Outperforms Adam: A Curvature Perspective

Agentic Transformers Provably Learn to Search via Reinforcement Learning

Receipt and verification

First computed	2026-07-05T09:07:52.818177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47f4b5b88b1a34fb535da6a22c4633d7e28b40c6973dd5b166021504557023aa

Aliases

arxiv: 2409.10559 · arxiv_version: 2409.10559v1 · doi: 10.48550/arxiv.2409.10559 · pith_short_12: I72LLOELDI2P · pith_short_16: I72LLOELDI2PWU25 · pith_short_8: I72LLOEL

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/I72LLOELDI2PWU25U2RCYRRT27 \
  | 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: 47f4b5b88b1a34fb535da6a22c4633d7e28b40c6973dd5b166021504557023aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12749c24f61ddc876537809119d4bc00e9896fc7480b14d0fbac190824e64183",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CL",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-09-09T18:10:26Z",
    "title_canon_sha256": "57f286603fd1b1b0913b6fd21f4ab05695b1d2d12c6e57817288e9e4f001b1be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.10559",
    "kind": "arxiv",
    "version": 1
  }
}