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Paper Citation Record · LEDGER

Transformers with Sparse Attention for Granger Causality

As of 13 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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+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:e6174d97df3a14e8964ac4c97f41e3bebb335ca638a112c65e331c31d9551301

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=sha256:3663f4f9f3b87f4c6b05d2c225136a50e57723c03e79606c174eb6b29dd553e9

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:44:59.236820Z digest=sha256:179e77553a5f55428ce536ccb4c90933e33929432a774402be2c31307f28e656

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:eb928038cd51246f524242b95e20bde0be54072c064559888bc656ff7d914e38

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:44:59.244446Z digest=sha256:9d5c731aed686a4dc97dc48e8e9ac38913af3d6e2fdac1c968e1080f7c65fed7

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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:44:59.254580Z digest=sha256:2ce2614b420012932eca3729edeaf4ca11d62ed04fa8b7e74643a41b26ed36ca

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:44:59.257984Z digest=sha256:6674a23afc6fc5800484e116cc6237fe6ec5c60f74d14fad0072fc968054b3d3

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:44:59.261200Z digest=sha256:4e6293c8b08b9e60d66d59f2bf419b12edf0206e3081ae76ee4bae75c6ee21c1

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:bde73929e41761be2b486497500a4c307d17357f2c64f5492007e3bb36cf9dc6

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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:44:59.271462Z digest=sha256:ef8890e0a4dd3a45417cabfcc0db23aaa0eb33d88e3ef58383759c8a78aefe74

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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:44:59.288278Z digest=sha256:6e2d51c29762fb6d116936b02cc94386fe9bee7a49e00bac410d3a602f5c2a05

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:a3d90d0705653fa061e06dfb088eb46bcceec9f548c7ee234f1b0917a32201b6

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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

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Pith citing papers

No inbound Pith citation observations are available.