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Paper Citation Record · LEDGER

Fourier Position Embedding: Enhancing Attention's Periodic Extension for Length Generalization

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 inbound Pith citation observations for arXiv:2412.17739.

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

pith.paper-citation-record.v1
2412.17739 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 10 of 10 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:45:02.940894Z

measured 1 of 1 external citation measurements

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

1
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 514b9315-dc90-411a-98be-9b81b6177aa4 · inbound

SeqPE: Transformer with Sequential Position Encoding cites this paper.

SeqPE: Transformer with Sequential Position Encoding Fourier Position Embedding: Enhancing Attention's Periodic Extension for Length Generalization

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-07T00:45:02.940894Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:45:02.940894Z digest=sha256:e69065ca0edcc344d28b32b8bc4f8c6db3f68671cc58b75979029f7b913e5cf5

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

CoPE: A Lightweight Complex Positional Encoding cites this paper.

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=sha256:97af6bba219dec7dfa2643529da36e68cf945157b4e05b0de04781d42d0fa121

Observation 4215a694-f9a7-4881-9e3d-4fc0220d2853 · inbound

Mitigating Coordinate Prediction Bias from Positional Encoding Failures cites this paper.

Mitigating Coordinate Prediction Bias from Positional Encoding Failures Fourier Position Embedding: Enhancing Attention's Periodic Extension for Length Generalization

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-05-18T05:12:23.576606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-18T05:11:30.734633Z digest=sha256:674defce5de2e21bb0f5d0ab3b37e27c8338339f41ed49e64999776c759143b4

Observation 1954f43f-480a-4efb-ba53-c9008c540c5a · inbound

Kimi Linear: An Expressive, Efficient Attention Architecture cites this paper.

Kimi Linear: An Expressive, Efficient Attention Architecture Fourier Position Embedding: Enhancing Attention's Periodic Extension for Length Generalization

Reference 42

Resolution
verified exact
arxiv_id, observed 2026-05-13T23:49:11.154378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-13T23:49:10.555255Z digest=sha256:9e7f5c57fbd902ebd638c870d8d971f9fec8f3bb60f020f8ab1b07adc4035ed4

Observation 79ff3d99-6ab9-4f86-aa36-c5d1e7382b33 · inbound

UCAN: Unified Convolutional Attention Network for Expansive Receptive Fields in Lightweight Super-Resolution cites this paper.

UCAN: Unified Convolutional Attention Network for Expansive Receptive Fields in Lightweight Super-Resolution Fourier Position Embedding: Enhancing Attention's Periodic Extension for Length Generalization

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-05-15T12:30:35.240254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-15T12:30:22.351735Z digest=sha256:4bf4532214138c9e8e88abe679d7a03b6df2a8dcc502d38c28c7fa3fb1179f78

Observation be47ecd7-e2c7-489a-b025-2e8b2378082c · inbound

Convergent Evolution: How Different Language Models Learn Similar Number Representations cites this paper.

Convergent Evolution: How Different Language Models Learn Similar Number Representations Fourier Position Embedding: Enhancing Attention's Periodic Extension for Length Generalization

Reference 7

Resolution
metadata mismatch
arxiv_id, observed 2026-05-10T00:49:48.460750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-05-10T00:47:20.963501Z digest=sha256:1a19616c4080d550626513524fa547828a3e7b53630c477777da4c81b002f599

Observation 161dcf8f-9826-479d-90a3-4cddbefb8f67 · inbound

Weierstrass Positional Encoding for Vision Transformers cites this paper.

Weierstrass Positional Encoding for Vision Transformers Fourier Position Embedding: Enhancing Attention's Periodic Extension for Length Generalization

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-05-25T05:50:23.765922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-25T05:48:36.533090Z digest=sha256:9d6075384b7913003eb9b0d8a481775cb63139f919ff7ef7a4c2195c3e244c8d

Observation bdca59fe-1cc1-4e18-bb3f-e8a47482b1de · inbound

Mix-MoE: Improving Multilingual Machine Translation of Large Language Models through Mixed MoEs cites this paper.

Mix-MoE: Improving Multilingual Machine Translation of Large Language Models through Mixed MoEs Fourier Position Embedding: Enhancing Attention's Periodic Extension for Length Generalization

Reference 43

Resolution
verified exact
arxiv_id, observed 2026-06-30T13:24:40.046732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T13:22:40.017922Z digest=sha256:1a39d5557af85610a2771a47a2751200734394b40b5f70e4eb616a1f1d311bbf

Observation 795b498e-3a38-4fde-8a3c-d59354bfb0dd · inbound

LazyAttention: Efficient Retrieval-Augmented Generation with Deferred Positional Encoding cites this paper.

LazyAttention: Efficient Retrieval-Augmented Generation with Deferred Positional Encoding Fourier Position Embedding: Enhancing Attention's Periodic Extension for Length Generalization

Reference 69

Resolution
verified exact
arxiv_id, observed 2026-06-28T07:11:45.570922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-06-28T07:04:28.959310Z digest=sha256:0b7e6ead1d32190e7ae302428561218a6df06614888de5e86b81160039785ec5

Observation 05113f2d-9de5-4c38-a7da-e196b2ea0ef4 · inbound

ClockRoPE: Random Fourier Rotations for Temporal Routine Modeling cites this paper.

ClockRoPE: Random Fourier Rotations for Temporal Routine Modeling Fourier Position Embedding: Enhancing Attention's Periodic Extension for Length Generalization

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-01T17:23:25.469076Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T17:23:25.469076Z digest=sha256:1901f155fdf8fd70f60c61062e1eeac6127479d634f4f1c4ace732600f18b0a4