Pith Number

pith:EKHB24BR

pith:2025:EKHB24BRLHG4CC5QH2Q4RWFV75

not attested not anchored not stored refs pending

Learning Compositional Functions with Transformers from Easy-to-Hard Data

Alberto Bietti, Alex Damian, Daniel Hsu, Denny Wu, Eshaan Nichani, Jason D. Lee, Zixuan Wang

arxiv:2505.23683 v1 · 2025-05-29 · cs.LG

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\usepackage{pith}
\pithnumber{EKHB24BRLHG4CC5QH2Q4RWFV75}

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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

6 papers in Pith

Transformers Provably Learn to Internalize Chain-of-Thought

Deep sequence models tend to memorize geometrically; it is unclear why

Scaling Latent Reasoning via Looped Language Models

Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory

The Power of Power Law: Asymmetry Enables Compositional Reasoning

Receipt and verification

First computed	2026-07-05T11:12:12.700344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

228e1d703159cdc10bb03ea1c8d8b5ff60a096b533fd616b4b765ebe86a47add

Aliases

arxiv: 2505.23683 · arxiv_version: 2505.23683v1 · doi: 10.48550/arxiv.2505.23683 · pith_short_12: EKHB24BRLHG4 · pith_short_16: EKHB24BRLHG4CC5Q · pith_short_8: EKHB24BR

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/EKHB24BRLHG4CC5QH2Q4RWFV75 \
  | 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: 228e1d703159cdc10bb03ea1c8d8b5ff60a096b533fd616b4b765ebe86a47add

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b41f515641e59658850b62a7f503072d24699961d9598cb5c0b01453d8ffb436",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-05-29T17:22:00Z",
    "title_canon_sha256": "620625165077d758f48a4a305c6d1df918757108d70e1414a26b6ef1c6d3ecf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.23683",
    "kind": "arxiv",
    "version": 1
  }
}