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Paper Citation Record · LEDGER

CoPE: A Lightweight Complex Positional Encoding

As of 14 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 2 inbound Pith citation observations for arXiv:2508.18308.

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

pith.paper-citation-record.v1
2508.18308 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T17:13:11.810461Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T10:25:16.975413Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-18T19:01:46.382654Z

Reference resolution

14 of 14 outbound references displayed

  • verified exact0
  • verified fuzzy1
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c569bc19-65d5-4d40-8d9d-47d35df45d1a · outbound

This paper cites BERT: Pre-training of Deep Bidirectional Transformers for Language Understanding.

CoPE: A Lightweight Complex Positional Encoding BERT: Pre-training of Deep Bidirectional Transformers for Language Understanding

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-05T17:13:11.782053Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T17:13:11.782053Z digest=sha256:51023cd2f14452e4775864effc9230776664f688374055e7350bdf1736ca5802

Observation 6cbda48f-fbd4-40ce-832a-56496e35f294 · outbound

This paper cites URL http://dx.doi.org/10.1109/ ICASSP49357.2023.10095349.

CoPE: A Lightweight Complex Positional Encoding URL http://dx.doi.org/10.1109/ ICASSP49357.2023.10095349

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-05T17:13:11.787015Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T17:13:11.787015Z digest=sha256:18eb17564553c3c00e18de928003974ba7d41c6502ff1190d3668a4da6c1c452

Observation a365dcc6-0f74-4047-a281-06d0a98e8f9b · outbound

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

CoPE: A Lightweight Complex Positional Encoding Train Short, Test Long: Attention with Linear Biases Enables Input Length Extrapolation

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-05T17:13:11.800956Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T17:13:11.800956Z digest=sha256:d8d221673ad5a0779e266a97c47f6d3d482a99b6c2e7019fbfcdc76cd336c711

Observation 5f91b387-9eb6-44da-a086-a6bd18d5e398 · outbound

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

CoPE: A Lightweight Complex Positional Encoding RoFormer: Enhanced Transformer with Rotary Position Embedding

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-05T17:13:11.807232Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T17:13:11.807232Z digest=sha256:9d7376397adb33ecd2cec67066294d08d0d0114e4e86d6969fdb91eadaf1dccc

Observation 2020e048-3afe-4f0e-9ee5-5cd33f5ad0a9 · outbound

This paper cites Attention Is All You Need.

CoPE: A Lightweight Complex Positional Encoding Attention Is All You Need

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-05T17:13:11.810461Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T17:13:11.810461Z digest=sha256:dab5761fc3cb83bd4b6e9c0aa11a6653baaaa14c69f73485e4f99dcc0bb0d708

Observation 709267eb-4a77-41ef-addf-b5b1f11f5692 · outbound

This paper cites org/CorpusID:16639476.

CoPE: A Lightweight Complex Positional Encoding org/CorpusID:16639476

Reference 2005

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:13:12.011692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T17:13:11.784543Z digest=sha256:2ffdf0ccda40fc435f24c2cb89222dea3267739a66f18bd35c05dd33db207127

Observation 8bcda834-789d-41c9-a3d2-b6bc0e561d91 · outbound

This paper cites Convolutional Sequence to Sequence Learning.

CoPE: A Lightweight Complex Positional Encoding Convolutional Sequence to Sequence Learning

Reference 2017

Resolution
unresolved
no resolver link, observed 2026-08-05T17:13:11.789856Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T17:13:11.789856Z digest=sha256:c19e23cee37650eaf840e2ccc208b5298411607d95c434e9afc827e2a67608af

Observation fb1cbab1-12e3-4618-a233-db1d697eda77 · outbound

This paper cites Self-Attention with Relative Position Representations.

CoPE: A Lightweight Complex Positional Encoding Self-Attention with Relative Position Representations

Reference 2018

Resolution
unresolved
no resolver link, observed 2026-08-05T17:13:11.803855Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T17:13:11.803855Z digest=sha256:eea3df7641df5332a207ca266a0a47b0b7f8ab8c7ab18f6cf7455bc3b45ca7c0

Observation d6be48a2-e174-48ac-8397-aed730f1b0ad · outbound

This paper cites an unresolved cited work.

CoPE: A Lightweight Complex Positional Encoding Unresolved cited work

Reference 2019

Resolution
unresolved
raw_fallback, observed 2026-08-05T17:13:12.018427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T17:13:11.779736Z digest=sha256:f42f04e00caec5ae02732e9cb9d09fd5d75e894e968539a03cba7e93cf397ebf

Observation 649afe02-d5e8-4843-955d-ec2e0b8132e5 · outbound

This paper cites ALBERT: A Lite BERT for Self-supervised Learning of Language Representations.

CoPE: A Lightweight Complex Positional Encoding ALBERT: A Lite BERT for Self-supervised Learning of Language Representations

Reference 2020

Resolution
unresolved
no resolver link, observed 2026-08-05T17:13:11.795212Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T17:13:11.795212Z digest=sha256:32e8a7d24f48bec7e594c8c5bcaf4a7ed4bc09e315ccae53f5d9d069249992e9

Observation bc65aab2-39dd-469e-b9c5-7346137b2244 · outbound

This paper cites A Survey of Complex-Valued Neural Networks.

CoPE: A Lightweight Complex Positional Encoding A Survey of Complex-Valued Neural Networks

Reference 2021

Resolution
unresolved
no resolver link, observed 2026-08-05T17:13:11.773000Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T17:13:11.773000Z digest=sha256:c95a2ce0d6277e88faf0d2447e92da2bda1756cc98aa8396627d348fe9ba7fba

Observation 15b76234-33eb-4e96-9eee-e54bbb2f2fc7 · outbound

This paper cites Yang Leng, Qingfeng Lin, Long-Yin Yung, Jingreng Lei, Yang Li, and Yik-Chung Wu.

CoPE: A Lightweight Complex Positional Encoding Yang Leng, Qingfeng Lin, Long-Yin Yung, Jingreng Lei, Yang Li, and Yik-Chung Wu

Reference 2022

Resolution
metadata mismatch
raw_fallback, observed 2026-08-05T17:13:11.905257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T17:13:11.798242Z digest=sha256:52e2252f6f20298398e18f22b5d1240c8f8c3dd4a668d1f56c71b751d918be20

Observation 38c2ff56-6dd6-4526-84fb-d3c22f7b6628 · outbound

This paper cites Conditional Positional Encodings for Vision Transformers.

CoPE: A Lightweight Complex Positional Encoding Conditional Positional Encodings for Vision Transformers

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-05T17:13:11.776775Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T17:13:11.776775Z digest=sha256:be7f51d2dccea3e3189282f8c0cb178657dbf60e334ec43594878ddd2b940f5c

Observation 07e30fac-3258-49cd-973e-f123b46b2a41 · outbound

This paper cites Fourier Position Embedding: Enhancing Attention's Periodic Extension for Length Generalization.

CoPE: A Lightweight Complex Positional Encoding Fourier Position Embedding: Enhancing Attention's Periodic Extension for Length Generalization

Reference 2025

Resolution
unresolved
no resolver link, observed 2026-08-05T17:13:11.792545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T17:13:11.792545Z digest=sha256:8d102b6d6e1767c65ce543332918e6dd850a0b5cbedffb6f4110c808ceb31707

Pith citing papers

Observation 22d56c68-d129-4d8b-9002-515c810679b9 · inbound

Robust Filter Attention: Self-Attention as Precision-Weighted State Estimation cites this paper.

Robust Filter Attention: Self-Attention as Precision-Weighted State Estimation CoPE: A Lightweight Complex Positional Encoding

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-05-18T19:01:46.384958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-05-18T18:56:48.722344Z digest=sha256:f4437968ba019916e4df046774ea56575bfa26375e7beade8304facafe96c179

Observation 266fc2f5-6d95-41e5-b93a-57154f915fb8 · inbound

Robust Filter Attention: Self-Attention as Precision-Weighted State Estimation cites this paper.

Robust Filter Attention: Self-Attention as Precision-Weighted State Estimation CoPE: A Lightweight Complex Positional Encoding

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-05T10:25:16.975413Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:25:16.975413Z digest=sha256:2ccfc81a0c02c8d4280f47a1b063cedb8d7ce9d078478e0bd6d0947ccd32a0f0