Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Attention is a smoothed cubic spline
As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:2408.09624.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-10T16:15:39.436829Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z
Reference resolution
0 of 0 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z
Outbound references
No outbound reference observations are available for this paper version.
Pith citing papers
Observation 091da57e-2e0a-4363-b48f-e25ec83a1946 · inbound
Softplus Attention with Re-weighting Boosts Length Extrapolation in Large Language Models cites this paper.
Softplus Attention with Re-weighting Boosts Length Extrapolation in Large Language Models Attention is a smoothed cubic spline
Reference 38
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T16:15:39.436829Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6f9181a1-86c4-4125-90b1-6f48d9bb1ddb · inbound
Transformers for Learning on Noisy and Task-Level Manifolds: Approximation and Generalization Insights cites this paper.
Transformers for Learning on Noisy and Task-Level Manifolds: Approximation and Generalization Insights Attention is a smoothed cubic spline
Reference 8
- Resolution
- verified exact
- arxiv_id, observed 2026-05-22T16:01:46.066399Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3ecffe69-52db-4b94-b579-a19911882c7e · inbound
Pierce-Birkhoff conjecture is true for splines cites this paper.
Pierce-Birkhoff conjecture is true for splines Attention is a smoothed cubic spline
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T18:42:39.402921Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation afab02ad-efe8-46ac-a57f-73e3fe6cac0c · inbound
A Mathematical Explanation of Transformers cites this paper.
A Mathematical Explanation of Transformers Attention is a smoothed cubic spline
Reference 24
- Resolution
- verified exact
- arxiv_id, observed 2026-05-18T10:11:13.766867Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9e829141-4cc3-45de-a1eb-2d33be292f76 · inbound
Algebraic Invariants of Lightning Self-Attention cites this paper.
Algebraic Invariants of Lightning Self-Attention Attention is a smoothed cubic spline
Reference 26
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T08:22:37.079434Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 8f615668-8d01-43d5-b44d-eaf0952ad929 · inbound
Copositive Matrices with Ordered Off-Diagonal Entries cites this paper.
Copositive Matrices with Ordered Off-Diagonal Entries Attention is a smoothed cubic spline
Reference 208
- Resolution
- verified exact
- arxiv_id, observed 2026-05-20T17:23:36.163530Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.