Pith Number

pith:BRGD5OAS

pith:2023:BRGD5OASOPAGUWAJAVEBFOQ52X

not attested not anchored not stored refs pending

What Algorithms can Transformers Learn? A Study in Length Generalization

Arwen Bradley, Etai Littwin, Hattie Zhou, Josh Susskind, Noam Razin, Omid Saremi, Preetum Nakkiran, Samy Bengio

arxiv:2310.16028 v1 · 2023-10-24 · cs.LG · cs.AI · cs.CL · 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{BRGD5OASOPAGUWAJAVEBFOQ52X}

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

12 papers in Pith

A Verifiable Search Is Not a Learnable Chain-of-Thought

Stabilizing Extrapolation in Looped Transformers via Learned Stochastic Stopping

Agentic Transformers Provably Learn to Search via Reinforcement Learning

FoNE: Precise Single-Token Number Embeddings via Fourier Features

The Serial Scaling Hypothesis

Receipt and verification

First computed	2026-07-05T07:04:33.998741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c4c3eb81273c06a5809054812ba1dd5e2dd65fa34d61fe936503ab3f544c637

Aliases

arxiv: 2310.16028 · arxiv_version: 2310.16028v1 · doi: 10.48550/arxiv.2310.16028 · pith_short_12: BRGD5OASOPAG · pith_short_16: BRGD5OASOPAGUWAJ · pith_short_8: BRGD5OAS

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/BRGD5OASOPAGUWAJAVEBFOQ52X \
  | 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: 0c4c3eb81273c06a5809054812ba1dd5e2dd65fa34d61fe936503ab3f544c637

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a65f630f9d8a5c6e5e4344dbfe6ca016fa4b54a9e0613f4ef415fce542e2ede2",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CL",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-10-24T17:43:29Z",
    "title_canon_sha256": "3723b60a77a7ba3d7830c537583b740330cf519531a5a06abb45d43d896ab75a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.16028",
    "kind": "arxiv",
    "version": 1
  }
}