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Paper Citation Record · LEDGER

Transformers with Sparse Attention for Granger Causality

As of 19 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2411.13264.

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

pith.paper-citation-record.v1
2411.13264 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T16:44:59.295351Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

23 of 23 outbound references displayed

  • verified exact1
  • verified fuzzy1
  • unresolved21
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6b92bcf0-1f63-4561-97c5-055a5313278c · outbound

This paper cites an unresolved cited work.

Transformers with Sparse Attention for Granger Causality Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:44:59.612874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation f1c2c581-746b-4e94-b3fd-b674dbbdf97d · outbound

This paper cites an unresolved cited work.

Transformers with Sparse Attention for Granger Causality Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:44:59.602986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T16:44:59.220573Z digest=sha256:e47042ea16b5214b140024bfb8b713a4f1493c01431fc8f8e15ac46bc1b3742e

Observation 4ef3be6d-f3a2-46d7-875d-c69deb09bdb0 · outbound

This paper cites an unresolved cited work.

Transformers with Sparse Attention for Granger Causality Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:44:59.591976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 0084b79f-6342-432d-af16-802b795a8280 · outbound

This paper cites A Survey on Causal Discovery Methods for I.I.D. and Time Series Data.

Transformers with Sparse Attention for Granger Causality A Survey on Causal Discovery Methods for I.I.D. and Time Series Data

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-12T16:44:59.228056Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T16:44:59.228056Z digest=sha256:55641229e8b5e942be7f83457993109ab5c8eb10e7eb19fe2114d8af9cc79405

Observation 11808edc-5ed1-48e9-b1af-504ab6ac93d2 · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Transformers with Sparse Attention for Granger Causality Adam: A Method for Stochastic Optimization

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-12T16:44:59.232106Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T16:44:59.232106Z digest=sha256:ab1a6b92e019f80d391d7effefd7d8f0a2f5519b31f9891a52a7f6610f57ac52

Observation 54f2c142-a1bc-44f6-8803-8392e1577a35 · outbound

This paper cites an unresolved cited work.

Transformers with Sparse Attention for Granger Causality Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:44:59.582298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T16:44:59.236820Z digest=sha256:cfaaf0f99e909c4abbb47f7b948afe04801700b93ab252c28d062d9ccd866c6c

Observation 2a8c7430-2f72-4c3c-876f-d16d315c907c · outbound

This paper cites How Transformers Learn Causal Structure with Gradient Descent.

Transformers with Sparse Attention for Granger Causality How Transformers Learn Causal Structure with Gradient Descent

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-12T16:44:59.240801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T16:44:59.240801Z digest=sha256:cfb5b47e8e7d49bb1545d0e6e272d8341b52e786a13368c08d6e2a617ddaf08c

Observation b35e0d84-7859-49ef-8e18-5c8b8fd25a06 · outbound

This paper cites an unresolved cited work.

Transformers with Sparse Attention for Granger Causality Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:44:59.571668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T16:44:59.244446Z digest=sha256:fd808281ec0575b73ccff449dfc16de75a63e579a18bd89592f8f0d120e43902

Observation d9443e2f-d905-4e6e-89d4-6451d921109f · outbound

This paper cites an unresolved cited work.

Transformers with Sparse Attention for Granger Causality Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:44:59.559991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T16:44:59.247882Z digest=sha256:1c99c94dd142126e349ff73057527cbd08e460aa7f2a0d678ebbfa5102237742

Observation ad9d3ea5-1511-4e54-93ed-47c36b33bb1c · outbound

This paper cites an unresolved cited work.

Transformers with Sparse Attention for Granger Causality Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:44:59.549099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T16:44:59.251318Z digest=sha256:a05debe113df47e170e223c9d170b246b831efacaed7a525039c78b705fc1610

Observation 436519c0-ec7c-476c-af48-85db41494567 · outbound

This paper cites an unresolved cited work.

Transformers with Sparse Attention for Granger Causality Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:44:59.536461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T16:44:59.254580Z digest=sha256:991b0ce19788e18656d3b6798c95b2d8793eaa5e3ecd21eb393a121601066d00

Observation 0a932e71-9b8c-47ff-a515-a410e8841f47 · outbound

This paper cites an unresolved cited work.

Transformers with Sparse Attention for Granger Causality Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:44:59.525712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T16:44:59.257984Z digest=sha256:06a812ec3014ce2aa7d9f616905222ae2053b84cfc6a976e80e281cf8ad447f5

Observation 3edfb6e8-a733-4fce-b3d5-4e7053e7525c · outbound

This paper cites an unresolved cited work.

Transformers with Sparse Attention for Granger Causality Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:44:59.515251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T16:44:59.261200Z digest=sha256:3300c60be4706b448fd949a800175e4f7c8a96628a33551d2e0f471aeafd935b

Observation ce513756-f8f8-457f-a1de-e9d75a582008 · outbound

This paper cites an unresolved cited work.

Transformers with Sparse Attention for Granger Causality Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-12T16:44:59.264874Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T16:44:59.264874Z digest=sha256:360ac9042939acd67fe4745c8e5c03938ae299af2c8fbbe2c53294c8e1ab7096

Observation 9eae650b-a827-450f-80ce-4123605455e2 · outbound

This paper cites an unresolved cited work.

Transformers with Sparse Attention for Granger Causality Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:44:59.497956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T16:44:59.268141Z digest=sha256:6794519f41b7f80b194f8b62f0f742ddef795395d6507c90e0530d029fc39129

Observation b143ead5-14f6-4594-8948-80cb212fb927 · outbound

This paper cites an unresolved cited work.

Transformers with Sparse Attention for Granger Causality Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:44:59.487810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T16:44:59.271462Z digest=sha256:6a19419d5a91a6b7415240d38c9ef1aa7d8d796c78cf4d1331917b1ba872b23f

Observation c618900c-6db2-4463-8bb7-72b906ff7fc4 · outbound

This paper cites an unresolved cited work.

Transformers with Sparse Attention for Granger Causality Unresolved cited work

Reference 17

Resolution
verified exact
raw_fallback, observed 2026-08-12T16:44:59.387648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T16:44:59.274842Z digest=sha256:997db548e2c9bfe0bc9c1ab0fa4c59c07a43f99c21844628afb0bc93a066b9d3

Observation 2b2466d3-d2d5-485d-91e6-042b6a13296a · outbound

This paper cites an unresolved cited work.

Transformers with Sparse Attention for Granger Causality Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:44:59.476995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 0e1dd451-9251-48ed-afee-7c9564428605 · outbound

This paper cites an unresolved cited work.

Transformers with Sparse Attention for Granger Causality Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:44:59.466600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 51ad1347-9234-459a-9fb5-bb3650576642 · outbound

This paper cites an unresolved cited work.

Transformers with Sparse Attention for Granger Causality Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:44:59.445575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T16:44:59.288278Z digest=sha256:efefcb413f84da3bfc785c5a5c0bde88a17adf7c6bad237bedaf68762fb95a39

Observation dc795cca-a41e-4db7-9b81-3a704d2df650 · outbound

This paper cites an unresolved cited work.

Transformers with Sparse Attention for Granger Causality Unresolved cited work

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-12T16:44:59.291979Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T16:44:59.291979Z digest=sha256:8883086147bde6cd7c8ed23c52591779fd217fb187652475a09a81863426eb59

Observation ccf7bc21-b6c6-4c8b-8169-b87622b3e36f · outbound

This paper cites an unresolved cited work.

Transformers with Sparse Attention for Granger Causality Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:44:59.429244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T16:44:59.295351Z digest=sha256:df25a89f3bf1199fc7bb7e83a14bde9e8806bc14bec682c22c196a8c7d52aa09

Observation 90e3a4ac-9e65-42dd-a843-8c54a9b5b5be · outbound

This paper cites In International Conference on Machine Learning.

Transformers with Sparse Attention for Granger Causality In International Conference on Machine Learning

Reference 2020

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:44:59.456419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T16:44:59.285015Z digest=sha256:a6ecb1a78cbeaabe2781423c0f7dc649e6249ace343bcf116ce53e92e9e485cd

Pith citing papers

No inbound Pith citation observations are available.