Paper Citation Record · LEDGER

Theoretical Analysis of Positional Encodings in Transformer Models: Impact on Expressiveness and Generalization

As of 7 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2506.06398.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.06398 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:19:32.086306Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

21 of 21 outbound references displayed

verified exact4
verified fuzzy1
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7ad8bfc7-20ff-40bd-8769-c3b653705cd5 · outbound

This paper cites Unconstrained representation of orthogonal matrices with application to common principle components.

Theoretical Analysis of Positional Encodings in Transformer Models: Impact on Expressiveness and Generalization Unconstrained representation of orthogonal matrices with application to common principle components

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:19:32.953160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b3798f3b-b609-4e96-810c-33ba724c48a3 · outbound

This paper cites and Mendelson, S.

Theoretical Analysis of Positional Encodings in Transformer Models: Impact on Expressiveness and Generalization and Mendelson, S

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:19:33.587061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation dc171fc4-10e0-47ee-b9bd-4a73c2207481 · outbound

This paper cites A Universal Law of Robustness via Isoperimetry.

Theoretical Analysis of Positional Encodings in Transformer Models: Impact on Expressiveness and Generalization A Universal Law of Robustness via Isoperimetry

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T10:19:30.332600Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c728534-3b2a-451e-b66d-0d34509433ac · outbound

This paper cites AutoFormer: Searching Transformers for Visual Recognition.

Theoretical Analysis of Positional Encodings in Transformer Models: Impact on Expressiveness and Generalization AutoFormer: Searching Transformers for Visual Recognition

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:19:32.774839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ac2c5f3c-aa08-4d11-8ea9-b037cd5082a6 · outbound

This paper cites Naturalistic audio-visual volumetric sequences dataset of sounding actions for six degree-of-freedom interaction.

Theoretical Analysis of Positional Encodings in Transformer Models: Impact on Expressiveness and Generalization Naturalistic audio-visual volumetric sequences dataset of sounding actions for six degree-of-freedom interaction

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:19:32.595687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 54ce9111-c511-4091-88f4-902a3ec13d5d · outbound

This paper cites an unresolved cited work.

Theoretical Analysis of Positional Encodings in Transformer Models: Impact on Expressiveness and Generalization Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:19:33.434175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 042b9330-00aa-4be9-8d94-0ad9898dab60 · outbound

This paper cites an unresolved cited work.

Theoretical Analysis of Positional Encodings in Transformer Models: Impact on Expressiveness and Generalization Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:19:33.304007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 10216bbe-cc0d-41a7-b5e1-4748187d990b · outbound

This paper cites an unresolved cited work.

Theoretical Analysis of Positional Encodings in Transformer Models: Impact on Expressiveness and Generalization Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:19:33.127874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d2675f38-6d3c-48e6-81bc-c3b8073fb057 · outbound

This paper cites ConvBERT: Improving BERT with Span-based Dynamic Convolution.

Theoretical Analysis of Positional Encodings in Transformer Models: Impact on Expressiveness and Generalization ConvBERT: Improving BERT with Span-based Dynamic Convolution

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:19:32.445067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b04b5812-7f82-4b0c-a0eb-1b8c113e494f · outbound

This paper cites Towards Understanding the Role of Over-Parametrization in Generalization of Neural Networks.

Theoretical Analysis of Positional Encodings in Transformer Models: Impact on Expressiveness and Generalization Towards Understanding the Role of Over-Parametrization in Generalization of Neural Networks

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T10:19:31.112025Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 509fa2d2-c090-4cfa-ae32-e654d9307da2 · outbound

This paper cites Train Short, Test Long: Attention with Linear Biases Enables Input Length Extrapolation.

Theoretical Analysis of Positional Encodings in Transformer Models: Impact on Expressiveness and Generalization Train Short, Test Long: Attention with Linear Biases Enables Input Length Extrapolation

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T10:19:31.163992Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8c9bd168-5301-482c-8fbd-2d8016df0ff0 · outbound

This paper cites Exploring the Limits of Transfer Learning with a Unified Text-to-Text Transformer.

Theoretical Analysis of Positional Encodings in Transformer Models: Impact on Expressiveness and Generalization Exploring the Limits of Transfer Learning with a Unified Text-to-Text Transformer

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T10:19:31.246860Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 006bdfb4-ff31-4941-8949-ab402362cee8 · outbound

This paper cites Self-Attention with Relative Position Representations.

Theoretical Analysis of Positional Encodings in Transformer Models: Impact on Expressiveness and Generalization Self-Attention with Relative Position Representations

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T10:19:31.342489Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 732b4608-62bf-481d-b2c4-5589b82ba0c2 · outbound

This paper cites RoFormer: Enhanced Transformer with Rotary Position Embedding.

Theoretical Analysis of Positional Encodings in Transformer Models: Impact on Expressiveness and Generalization RoFormer: Enhanced Transformer with Rotary Position Embedding

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T10:19:31.465132Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 27c16d0e-8299-4644-922a-4a85167292ac · outbound

This paper cites Fourier Features Let Networks Learn High Frequency Functions in Low Dimensional Domains.

Theoretical Analysis of Positional Encodings in Transformer Models: Impact on Expressiveness and Generalization Fourier Features Let Networks Learn High Frequency Functions in Low Dimensional Domains

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T10:19:31.558026Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 10f83ea2-3167-47af-be9d-9e55322ee048 · outbound

This paper cites Efficient Transformers: A Survey.

Theoretical Analysis of Positional Encodings in Transformer Models: Impact on Expressiveness and Generalization Efficient Transformers: A Survey

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T10:19:31.651037Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a322ae6-6cac-4d3b-ae9c-6b92d9341414 · outbound

This paper cites Attention Is All You Need.

Theoretical Analysis of Positional Encodings in Transformer Models: Impact on Expressiveness and Generalization Attention Is All You Need

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T10:19:31.725031Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4a130c54-a35d-459e-a7ab-7aa0a4cda795 · outbound

This paper cites On Layer Normalization in the Transformer Architecture.

Theoretical Analysis of Positional Encodings in Transformer Models: Impact on Expressiveness and Generalization On Layer Normalization in the Transformer Architecture

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T10:19:31.818374Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8d327d9-dd89-41f0-a37d-80218f5ed129 · outbound

This paper cites Efficient Attention: Attention with Linear Complexities.

Theoretical Analysis of Positional Encodings in Transformer Models: Impact on Expressiveness and Generalization Efficient Attention: Attention with Linear Complexities

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T10:19:31.887945Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 84a07a37-1edc-468f-b252-8735743043ca · outbound

This paper cites Are Transformers universal approximators of sequence-to-sequence functions?.

Theoretical Analysis of Positional Encodings in Transformer Models: Impact on Expressiveness and Generalization Are Transformers universal approximators of sequence-to-sequence functions?

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T10:19:31.995796Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c2e63405-5085-4b8d-b3c8-131abe7a4d76 · outbound

This paper cites Transformers without Tears: Improving the Normalization of Self-Attention.

Theoretical Analysis of Positional Encodings in Transformer Models: Impact on Expressiveness and Generalization Transformers without Tears: Improving the Normalization of Self-Attention

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T10:19:32.086306Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.