Paper Citation Record · LEDGER

Reducing Reasoning Costs: The Path of Optimization for Chain of Thought via Sparse Attention Mechanism

As of 21 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2411.09111.

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

pith.paper-citation-record.v1
2411.09111 v8

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T21:07:14.193055Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

30 of 30 outbound references displayed

verified exact2
verified fuzzy5
unresolved23
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 352ae7df-3bf0-47a9-890a-94a8268ab967 · outbound

This paper cites an unresolved cited work.

Reducing Reasoning Costs: The Path of Optimization for Chain of Thought via Sparse Attention Mechanism Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-12T21:07:14.814661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 90253eb9-2172-4bdf-99dc-7553d63169d5 · outbound

This paper cites an unresolved cited work.

Reducing Reasoning Costs: The Path of Optimization for Chain of Thought via Sparse Attention Mechanism Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-12T21:07:14.798640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 54a9ae9b-3797-440c-b52b-5c5ba5979ae3 · outbound

This paper cites Transformer Feed-Forward Layers Build Predictions by Promoting Concepts in the Vocabulary Space.

Reducing Reasoning Costs: The Path of Optimization for Chain of Thought via Sparse Attention Mechanism Transformer Feed-Forward Layers Build Predictions by Promoting Concepts in the Vocabulary Space

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-12T21:07:14.056196Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d7311ae-f99f-4f53-a133-162a92e41da0 · outbound

This paper cites Transkimmer: Transformer Learns to Layer-wise Skim.

Reducing Reasoning Costs: The Path of Optimization for Chain of Thought via Sparse Attention Mechanism Transkimmer: Transformer Learns to Layer-wise Skim

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-12T21:07:14.493124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3e082394-610d-437c-b61f-eed8904a0b7b · outbound

This paper cites The Impact of Reasoning Step Length on Large Language Models.

Reducing Reasoning Costs: The Path of Optimization for Chain of Thought via Sparse Attention Mechanism The Impact of Reasoning Step Length on Large Language Models

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-12T21:07:14.067573Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8b12c4c3-34ea-434f-aec7-403cf2d35ccd · outbound

This paper cites Decomposed Prompting: A Modular Approach for Solving Complex Tasks.

Reducing Reasoning Costs: The Path of Optimization for Chain of Thought via Sparse Attention Mechanism Decomposed Prompting: A Modular Approach for Solving Complex Tasks

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-12T21:07:14.073224Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8439da01-cccd-4fab-8051-0b0b0cdb0551 · outbound

This paper cites Reformer: The Efficient Transformer.

Reducing Reasoning Costs: The Path of Optimization for Chain of Thought via Sparse Attention Mechanism Reformer: The Efficient Transformer

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-12T21:07:14.078987Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da0585ec-5d15-4189-98f3-e3d0754549c8 · outbound

This paper cites A Survey of Graph Meets Large Language Model: Progress and Future Directions.

Reducing Reasoning Costs: The Path of Optimization for Chain of Thought via Sparse Attention Mechanism A Survey of Graph Meets Large Language Model: Progress and Future Directions

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-12T21:07:14.084389Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 55f6241f-eec1-4c19-af0d-82b21456c427 · outbound

This paper cites Chain of Thought Empowers Transformers to Solve Inherently Serial Problems.

Reducing Reasoning Costs: The Path of Optimization for Chain of Thought via Sparse Attention Mechanism Chain of Thought Empowers Transformers to Solve Inherently Serial Problems

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-12T21:07:14.089640Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 913a42e2-354e-4fdc-bd00-b7485afadd0e · outbound

This paper cites L., Ho, C.

Reducing Reasoning Costs: The Path of Optimization for Chain of Thought via Sparse Attention Mechanism L., Ho, C

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:07:14.782102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 530bc43f-f497-4dcc-91de-587a041b15e3 · outbound

This paper cites an unresolved cited work.

Reducing Reasoning Costs: The Path of Optimization for Chain of Thought via Sparse Attention Mechanism Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-12T21:07:14.764388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5a3c94ac-c37f-4fa0-84cc-bcb60a5fc33b · outbound

This paper cites an unresolved cited work.

Reducing Reasoning Costs: The Path of Optimization for Chain of Thought via Sparse Attention Mechanism Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-12T21:07:14.748410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 38c48cb2-b16f-4271-bc7b-f2152a7b2987 · outbound

This paper cites A., & Field, D.

Reducing Reasoning Costs: The Path of Optimization for Chain of Thought via Sparse Attention Mechanism A., & Field, D

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:07:14.731601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 47f0f20f-f6d4-4809-b6e1-4a7908713346 · outbound

This paper cites an unresolved cited work.

Reducing Reasoning Costs: The Path of Optimization for Chain of Thought via Sparse Attention Mechanism Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-12T21:07:14.715749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ecd6bb61-094a-4d96-b4c5-d4a5fe9caab6 · outbound

This paper cites an unresolved cited work.

Reducing Reasoning Costs: The Path of Optimization for Chain of Thought via Sparse Attention Mechanism Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-12T21:07:14.699401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b33cd817-1a5e-4253-9d83-09c888bc1136 · outbound

This paper cites an unresolved cited work.

Reducing Reasoning Costs: The Path of Optimization for Chain of Thought via Sparse Attention Mechanism Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-12T21:07:14.124249Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 203fe581-cec9-4456-94ec-252a57482b52 · outbound

This paper cites GPT-4 Jailbreaks Itself with Near-Perfect Success Using Self-Explanation.

Reducing Reasoning Costs: The Path of Optimization for Chain of Thought via Sparse Attention Mechanism GPT-4 Jailbreaks Itself with Near-Perfect Success Using Self-Explanation

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-12T21:07:14.129310Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 39450b38-91ef-4db0-9cff-f80c05c8b0f5 · outbound

This paper cites an unresolved cited work.

Reducing Reasoning Costs: The Path of Optimization for Chain of Thought via Sparse Attention Mechanism Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-12T21:07:14.670223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 252946ae-4f9b-4ff8-a62e-5e8f114532fb · outbound

This paper cites Predicting Attention Sparsity in Transformers.

Reducing Reasoning Costs: The Path of Optimization for Chain of Thought via Sparse Attention Mechanism Predicting Attention Sparsity in Transformers

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-12T21:07:14.139019Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 45f91695-6e69-4cc7-8fa2-7f53ab78e055 · outbound

This paper cites an unresolved cited work.

Reducing Reasoning Costs: The Path of Optimization for Chain of Thought via Sparse Attention Mechanism Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-12T21:07:14.144033Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac7aaffe-a4eb-480c-b23f-ba3ac3a081e5 · outbound

This paper cites & Zhou, D.

Reducing Reasoning Costs: The Path of Optimization for Chain of Thought via Sparse Attention Mechanism & Zhou, D

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-12T21:07:14.148579Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7aa8b0d-0661-4451-9131-7be57a11dd6b · outbound

This paper cites an unresolved cited work.

Reducing Reasoning Costs: The Path of Optimization for Chain of Thought via Sparse Attention Mechanism Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-12T21:07:14.632752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7d936c12-6224-4649-887c-c3b7da10e383 · outbound

This paper cites Focus on the Core: Efficient Attention via Pruned Token Compression for Document Classification.

Reducing Reasoning Costs: The Path of Optimization for Chain of Thought via Sparse Attention Mechanism Focus on the Core: Efficient Attention via Pruned Token Compression for Document Classification

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-12T21:07:14.348904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b912cc97-2479-45c8-9ccb-b4bb413b9374 · outbound

This paper cites an unresolved cited work.

Reducing Reasoning Costs: The Path of Optimization for Chain of Thought via Sparse Attention Mechanism Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-12T21:07:14.614507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7cc4c017-d2a7-45d2-92af-af663accc241 · outbound

This paper cites an unresolved cited work.

Reducing Reasoning Costs: The Path of Optimization for Chain of Thought via Sparse Attention Mechanism Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-12T21:07:14.595468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2b327d4a-3c11-472f-9db0-e8ed57c6af77 · outbound

This paper cites & Liu, T.

Reducing Reasoning Costs: The Path of Optimization for Chain of Thought via Sparse Attention Mechanism & Liu, T

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-12T21:07:14.172580Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5247c691-4832-4028-9ff3-7c23a3ffcb8a · outbound

This paper cites an unresolved cited work.

Reducing Reasoning Costs: The Path of Optimization for Chain of Thought via Sparse Attention Mechanism Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-12T21:07:14.578386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c02ba5dd-279a-4e3e-9c7a-9eab965afaf7 · outbound

This paper cites All combinations of the four columns.

Reducing Reasoning Costs: The Path of Optimization for Chain of Thought via Sparse Attention Mechanism All combinations of the four columns

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:07:14.561896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f1fbee70-bcba-426b-9cfa-ff87a292701a · outbound

This paper cites Then the equation Ax = b (always / sometimes but not always) has (a unique solution / many solutions / no solution).

Reducing Reasoning Costs: The Path of Optimization for Chain of Thought via Sparse Attention Mechanism Then the equation Ax = b (always / sometimes but not always) has (a unique solution / many solutions / no solution)

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:07:14.545221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fa0a6a13-31ff-4f2c-af56-457d43e380d2 · outbound

This paper cites All combinations of the four columns.

Reducing Reasoning Costs: The Path of Optimization for Chain of Thought via Sparse Attention Mechanism All combinations of the four columns

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:07:14.527909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

No inbound Pith citation observations are available.