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Pith Number

pith:MMDTBHGD

pith:2024:MMDTBHGDOAV65BI5ZGZCDWOE4N
not attested not anchored not stored refs pending

A Formal Framework for Understanding Length Generalization in Transformers

Andreas Krebs, Andy Yang, Hattie Zhou, Michael Hahn, Preetum Nakkiran, Satwik Bhattamishra, Xinting Huang, Yash Sarrof

arxiv:2410.02140 v3 · 2024-10-03 · cs.LG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?
Add to your LaTeX paper 
\usepackage{pith}
\pithnumber{MMDTBHGDOAV65BI5ZGZCDWOE4N}

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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
On the Mirage of Long-Range Dependency, with an Application to Integer Multiplication
Receipt and verification
First computed 2026-07-05T10:56:09.333440Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6307309cc3702bee851dc9b221d9c4e375fbb9e007f00c94e583b24430729d4c

Aliases

arxiv: 2410.02140 · arxiv_version: 2410.02140v3 · doi: 10.48550/arxiv.2410.02140 · pith_short_12: MMDTBHGDOAV6 · pith_short_16: MMDTBHGDOAV65BI5 · pith_short_8: MMDTBHGD
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/MMDTBHGDOAV65BI5ZGZCDWOE4N \
  | 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: 6307309cc3702bee851dc9b221d9c4e375fbb9e007f00c94e583b24430729d4c
Canonical record JSON 
{
  "metadata": {
    "abstract_canon_sha256": "d0aeab13ec97c6e94bcd6404106c6ebe3bfd99d17521ae688b699d82a0c51db4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-10-03T01:52:01Z",
    "title_canon_sha256": "388d2dc772090d614cfa0fe2cf199c7d972118eac7ea9361068b001c21a4fdab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.02140",
    "kind": "arxiv",
    "version": 3
  }
}