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Paper Citation Record · LEDGER

A recursive butterfly factorization with optimality guarantees

As of 8 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 0 inbound Pith citation observations for arXiv:2607.29361.

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

pith.paper-citation-record.v1
2607.29361 v1

Coverage vector

measured 67 of 67 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T08:40:00.522043Z

measured 67 of 67 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

67 of 67 outbound references displayed

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  • verified fuzzy0
  • unresolved45
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5f5e888d-24c5-43bd-a799-e44cf6922e0e · outbound

This paper cites Quasi-optimal hierarchically semi-separable matrix approximation.

A recursive butterfly factorization with optimality guarantees Quasi-optimal hierarchically semi-separable matrix approximation

Reference 1

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Observation 98ba39ba-a4fc-40d3-be31-bacd85719021 · outbound

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A recursive butterfly factorization with optimality guarantees Unresolved cited work

Reference 2

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Observation e57b1fe1-85d5-4cf4-8442-3b29871b61b9 · outbound

This paper cites and Ho, Kenneth L.

A recursive butterfly factorization with optimality guarantees and Ho, Kenneth L

Reference 3

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Observation e3c3ccd2-b2d2-4135-b6cf-059a6392d21e · outbound

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A recursive butterfly factorization with optimality guarantees and Ho, Kenneth L

Reference 4

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Observation 098baa91-ab9a-4ce6-be8b-1e5f1fbcd420 · outbound

This paper cites Proceedings of the 2025.

A recursive butterfly factorization with optimality guarantees Proceedings of the 2025

Reference 5

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Observation 579b4fdd-f670-43f5-8ec7-1064e0c77938 · outbound

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A recursive butterfly factorization with optimality guarantees Unresolved cited work

Reference 6

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A recursive butterfly factorization with optimality guarantees Unresolved cited work

Reference 7

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Observation ec405bae-a59c-4f4f-98c6-1f2893a6cdba · outbound

This paper cites and Martinsson, P.

A recursive butterfly factorization with optimality guarantees and Martinsson, P

Reference 8

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Observation 36b94663-cda6-4828-b6e2-6b4be226c613 · outbound

This paper cites and Yang, Haizhao , TITLE =.

A recursive butterfly factorization with optimality guarantees and Yang, Haizhao , TITLE =

Reference 10

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Observation 29f7b9ca-712e-4e73-aea5-51633b83b122 · outbound

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A recursive butterfly factorization with optimality guarantees and Dewilde, P

Reference 11

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A recursive butterfly factorization with optimality guarantees Unresolved cited work

Reference 12

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Observation dd2b6ada-4e92-4898-9331-9ba0cb2d658b · outbound

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A recursive butterfly factorization with optimality guarantees and Martinsson, Per-Gunnar , TITLE =

Reference 13

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Observation f0d61928-7e2e-43a8-8265-25a5c8520807 · outbound

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A recursive butterfly factorization with optimality guarantees Unresolved cited work

Reference 14

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Observation 47aab406-f0df-4953-a5ed-285635e9db96 · outbound

This paper cites Query Efficient Structured Matrix Learning.

A recursive butterfly factorization with optimality guarantees Query Efficient Structured Matrix Learning

Reference 15

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A recursive butterfly factorization with optimality guarantees Unresolved cited work

Reference 17

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Observation 90f34e5e-d0d7-4f45-aef2-988ce68f53d8 · outbound

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A recursive butterfly factorization with optimality guarantees Fast and stable randomized low-rank matrix approximation

Reference 18

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Observation 68ded9f5-083d-4f5a-a697-a28d294f9066 · outbound

This paper cites Projection-Cost-Preserving Sketches: Proof Strategies and Constructions.

A recursive butterfly factorization with optimality guarantees Projection-Cost-Preserving Sketches: Proof Strategies and Constructions

Reference 19

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Observation 68e01c86-2fbb-4228-9537-580bf1241625 · outbound

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A recursive butterfly factorization with optimality guarantees and Woodruff, David P

Reference 20

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Observation 8e09df4e-dae9-48a0-a011-5d84408ee440 · outbound

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A recursive butterfly factorization with optimality guarantees Krylov Methods are (nearly) Optimal for Low-Rank Approximation , url =

Reference 21

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Observation c485621b-1250-4b43-a380-6ab0620c1c09 · outbound

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A recursive butterfly factorization with optimality guarantees 2018 , ISBN =

Reference 22

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Observation e32433a1-5b1a-4b76-b11e-8003f1d7038d · outbound

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A recursive butterfly factorization with optimality guarantees 2026 , eprint=

Reference 23

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This paper cites Nearly Instance Optimal Sparse Matrix Approximation from Matrix-Vector Products.

A recursive butterfly factorization with optimality guarantees Nearly Instance Optimal Sparse Matrix Approximation from Matrix-Vector Products

Reference 24

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Observation 067e7fee-dccf-4750-85ce-c5810d2c5ef8 · outbound

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A recursive butterfly factorization with optimality guarantees SIAM Journal on Matrix Analysis and Applications , volume =

Reference 25

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A recursive butterfly factorization with optimality guarantees Unresolved cited work

Reference 26

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A recursive butterfly factorization with optimality guarantees Unresolved cited work

Reference 28

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A recursive butterfly factorization with optimality guarantees , TITLE =

Reference 29

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A recursive butterfly factorization with optimality guarantees Recovery of Sparse Matrices via Matrix Sketching

Reference 30

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A recursive butterfly factorization with optimality guarantees Unresolved cited work

Reference 31

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A recursive butterfly factorization with optimality guarantees and Mor\'e, Jorge J

Reference 33

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A recursive butterfly factorization with optimality guarantees and Cai, Jin-Yi , TITLE =

Reference 34

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A recursive butterfly factorization with optimality guarantees Unresolved cited work

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Observation d5827c93-75fa-46e6-813d-18b24afcf159 · outbound

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A recursive butterfly factorization with optimality guarantees Stochastic diagonal estimation: probabilistic bounds and an improved algorithm

Reference 36

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A recursive butterfly factorization with optimality guarantees and Saad, Yousef , TITLE =

Reference 37

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Observation 79c3fb51-7cfc-458c-9787-be6176b26367 · outbound

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A recursive butterfly factorization with optimality guarantees and Kokiopoulou, E

Reference 38

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Observation 548dc181-9364-4a1e-94ba-6d9cb35593c2 · outbound

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A recursive butterfly factorization with optimality guarantees Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA) , pages=

Reference 39

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Observation a8485707-625c-4b46-9aee-92c176f28419 · outbound

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A recursive butterfly factorization with optimality guarantees Proceedings of the 2023

Reference 40

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Observation fa9d4e2f-f53c-4195-a541-d0603a3dbfd6 · outbound

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A recursive butterfly factorization with optimality guarantees A Butterfly-Based Direct Integral-Equation Solver Using Hierarchical

Reference 41

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Observation 8506c66a-fbda-4aee-977b-a998e1e7cdbd · outbound

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A recursive butterfly factorization with optimality guarantees Unresolved cited work

Reference 42

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A recursive butterfly factorization with optimality guarantees Unresolved cited work

Reference 43

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Observation 0397205f-6269-4d1a-81df-026765f0cbe4 · outbound

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A recursive butterfly factorization with optimality guarantees Unresolved cited work

Reference 44

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T08:39:58.572767Z digest=sha256:555d402780f9f21de55d025fbeb095c39a2c8ad169849835ea08b450791a72ce

Observation faf8c1bb-e915-40ed-bee6-27cdc791fea5 · outbound

This paper cites A Butterfly-Accelerated Manifold Harmonic Transform.

A recursive butterfly factorization with optimality guarantees A Butterfly-Accelerated Manifold Harmonic Transform

Reference 45

Resolution
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no resolver link, observed 2026-08-03T08:39:58.735834Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T08:39:58.735834Z digest=sha256:99eeb21ebaf59f4299118da31a8d724e17e3ef34da49858e49deeff3d34c3683

Observation cf1b5127-64cb-4036-bec7-cdb152c8267a · outbound

This paper cites an unresolved cited work.

A recursive butterfly factorization with optimality guarantees Unresolved cited work

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-03T08:39:58.850507Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T08:39:58.850507Z digest=sha256:e428faa0ddfe8808acfed308301f4a2db65049112bbad1077d9ba35ff5c51b61

Observation c5cd5acf-3a6e-4feb-9233-d199c89ab1f9 · outbound

This paper cites an unresolved cited work.

A recursive butterfly factorization with optimality guarantees Unresolved cited work

Reference 47

Resolution
verified exact
doi, observed 2026-08-03T08:43:26.120510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-03T08:39:58.973748Z digest=sha256:9fdb2ef84351bf0f8d1be37e1f067636f7ff67371557b5ad6d06e054492929ed

Observation 587e299c-853d-446b-a8c2-44316fcf4d1c · outbound

This paper cites an unresolved cited work.

A recursive butterfly factorization with optimality guarantees Unresolved cited work

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-03T08:39:59.080982Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T08:39:59.080982Z digest=sha256:b0d8314e2a9b142b20b85e4656d2c0bab611ba463b99e4153fae363547136661

Observation aa789758-de41-47d4-9c37-50c17736f778 · outbound

This paper cites an unresolved cited work.

A recursive butterfly factorization with optimality guarantees Unresolved cited work

Reference 49

Resolution
verified exact
doi, observed 2026-08-03T08:43:26.016220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-03T08:39:59.192079Z digest=sha256:f19544d72141779f4884bfe0af015466c7d6aaa6db88ff782fa88f6255e77749

Observation afbf4fe2-52dc-4d34-bc2a-177b0c0c8526 · outbound

This paper cites 2009 , publisher=.

A recursive butterfly factorization with optimality guarantees 2009 , publisher=

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-03T08:39:59.349160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T08:39:59.349160Z digest=sha256:5905ddc037ef39891e5f0358d932b3c59cea1751fdf08fc9cf6bf9c31094261d

Observation 29337b93-30ce-49f3-9232-8d4c4185e9af · outbound

This paper cites Multiscale Model.

A recursive butterfly factorization with optimality guarantees Multiscale Model

Reference 51

Resolution
verified exact
doi, observed 2026-08-03T08:43:25.948081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-03T08:39:59.514272Z digest=sha256:d83ba5d04571758941397a28fa5a3b0c5b6665aa8d787cfbfcd165b86b162e50

Observation 32e9b301-d75d-4df6-9f93-1df0e25df18c · outbound

This paper cites 2010 , publisher=.

A recursive butterfly factorization with optimality guarantees 2010 , publisher=

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-03T08:39:59.638823Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T08:39:59.638823Z digest=sha256:8d7463f75847ff5db225035f695c26bec92e925af3628fc9167eadc60977d5b6

Observation a567ee76-0f8f-4e2c-9f07-b83b9ef4299a · outbound

This paper cites an unresolved cited work.

A recursive butterfly factorization with optimality guarantees Unresolved cited work

Reference 53

Resolution
verified exact
doi, observed 2026-08-03T08:43:25.855016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-03T08:39:59.725033Z digest=sha256:15316ebfdfbda57e5e1761c9f544faf2f46d9b96b1714ade40ba60977dbedde2

Observation baea2680-32d8-425e-8bef-c27f3fcf05cc · outbound

This paper cites 2012 , publisher=.

A recursive butterfly factorization with optimality guarantees 2012 , publisher=

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-03T08:39:59.872718Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T08:39:59.872718Z digest=sha256:6427acb3a256cb47245e951bcb2b6e3b62a4415b43aa5ce6137a9a67612df68c

Observation 69430e72-958f-49d0-beea-2daf3ad87261 · outbound

This paper cites an unresolved cited work.

A recursive butterfly factorization with optimality guarantees Unresolved cited work

Reference 55

Resolution
verified exact
doi, observed 2026-08-03T08:43:25.736897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-03T08:39:59.985255Z digest=sha256:36681d8cd8c7f3014ed7abf8dbda50a7c687fa5db745eead83ea9efa85394138

Observation 02e27d09-76e2-45d7-a8db-c4c268354cdf · outbound

This paper cites an unresolved cited work.

A recursive butterfly factorization with optimality guarantees Unresolved cited work

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-03T08:40:00.144386Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T08:40:00.144386Z digest=sha256:588119b9b7f7fd80285bf79d5d3cde0cb088e77908396bd870feb60104720399

Observation 88706be9-0bb7-46db-a21b-3dc20759fe36 · outbound

This paper cites IEEE Transactions on Antennas and Propagation , volume=.

A recursive butterfly factorization with optimality guarantees IEEE Transactions on Antennas and Propagation , volume=

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-03T08:40:00.342024Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T08:40:00.342024Z digest=sha256:93d13c54b91c6944738769db6ef471ba5ca3c6ac96d7318180d401f0ec6b552b

Observation 1c5df84b-6dbd-4397-938d-08219ce9a73c · outbound

This paper cites and Boag, A.

A recursive butterfly factorization with optimality guarantees and Boag, A

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-03T08:40:00.413834Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T08:40:00.413834Z digest=sha256:39947ef113f82a8fc8adaa49e403281d5ea44d2d00fce1faf068d0b5b233b815

Observation 245ca023-cd3b-474b-8670-1886595ee6bb · outbound

This paper cites International conference on machine learning , pages=.

A recursive butterfly factorization with optimality guarantees International conference on machine learning , pages=

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-03T08:40:00.419895Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T08:40:00.419895Z digest=sha256:f74c867116d9ded0a90dfd4fbb937fe89ab8a0b10222547d384e294f3a5e032d

Observation 987db674-d226-4afd-86b0-7fe37fe94a16 · outbound

This paper cites Proceedings of the 36th International Conference on Machine Learning , pages =.

A recursive butterfly factorization with optimality guarantees Proceedings of the 36th International Conference on Machine Learning , pages =

Reference 60

Resolution
unresolved
no resolver link, observed 2026-08-03T08:40:00.425090Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T08:40:00.425090Z digest=sha256:3edad5e3f2d5970330d872c5c5841696adea6526927e1db878d5429bfdc581bc

Observation 096f4b15-b844-4692-bb5f-1ac6817f92ac · outbound

This paper cites International Conference on Learning Representations , volume=.

A recursive butterfly factorization with optimality guarantees International Conference on Learning Representations , volume=

Reference 61

Resolution
unresolved
no resolver link, observed 2026-08-03T08:40:00.430051Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T08:40:00.430051Z digest=sha256:091cb7b396ba72b903c96d962c2631b2fd332bf3741b4afceec4c507d4a73e86

Observation 6de411ba-c4d3-41a5-89fa-8db28728b4d4 · outbound

This paper cites Parameter-Efficient Orthogonal Finetuning via Butterfly Factorization , url =.

A recursive butterfly factorization with optimality guarantees Parameter-Efficient Orthogonal Finetuning via Butterfly Factorization , url =

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-03T08:40:00.435026Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T08:40:00.435026Z digest=sha256:1bc2f634e304f6597403d8ef285be82a8966ad9efed3be750aedd43a7b835da6

Observation 1bf8378e-aa04-404b-8ecf-a7063ce856ca · outbound

This paper cites SIAM Journal on Mathematics of Data Science , volume=.

A recursive butterfly factorization with optimality guarantees SIAM Journal on Mathematics of Data Science , volume=

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-03T08:40:00.440937Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T08:40:00.440937Z digest=sha256:2a1fd5df6edda6af4d90291b9a4e8f1fac822cdd63c7c5188a1fb3aac9c8095f

Observation fbfd31b7-6aa3-4bd0-ac88-a3ae2e9e7c57 · outbound

This paper cites an unresolved cited work.

A recursive butterfly factorization with optimality guarantees Unresolved cited work

Reference 64

Resolution
verified exact
doi, observed 2026-08-03T08:43:25.567848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-03T08:40:00.447326Z digest=sha256:6d7a18cdb300d8c66dd8f95dbdbf17150f1740558187c0490f1393986febf6b0

Observation 811c42fe-4594-4787-88f6-ee712018874c · outbound

This paper cites SIAM Journal on Scientific Computing , volume=.

A recursive butterfly factorization with optimality guarantees SIAM Journal on Scientific Computing , volume=

Reference 65

Resolution
unresolved
no resolver link, observed 2026-08-03T08:40:00.452912Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T08:40:00.452912Z digest=sha256:423606eb37b77057b19ebecc45b42c667ba0d3a34d8a993f0a524d9137deab26

Observation 3f010cef-bfac-4a3a-ac03-79d7244a9c56 · outbound

This paper cites an unresolved cited work.

A recursive butterfly factorization with optimality guarantees Unresolved cited work

Reference 66

Resolution
verified exact
doi, observed 2026-08-03T08:43:25.396750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-03T08:40:00.460446Z digest=sha256:8aa23740463277e9fdde083ef1ef0a31351112d8e0493761db5eaf3d919e76c0

Observation 4beb3509-bbdf-4d96-98a5-36f93972a089 · outbound

This paper cites A parallel nonuniform fast.

A recursive butterfly factorization with optimality guarantees A parallel nonuniform fast

Reference 67

Resolution
unresolved
no resolver link, observed 2026-08-03T08:40:00.471084Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T08:40:00.471084Z digest=sha256:4a50fa191b00814651def12c17f0db6c752fbe828770b54956498c9ae7e2809b

Observation 84465575-8ceb-49fd-b734-05b79bc52638 · outbound

This paper cites and Magland, Jeremy and af Klinteberg, Ludvig , TITLE =.

A recursive butterfly factorization with optimality guarantees and Magland, Jeremy and af Klinteberg, Ludvig , TITLE =

Reference 68

Resolution
unresolved
no resolver link, observed 2026-08-03T08:40:00.491681Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T08:40:00.491681Z digest=sha256:edec54717532020761b3f2811ef99220c5f1efc5d2bda040ddfe377ba2510b51

Observation 906e777f-b41c-4976-ae66-8d0dcd591a1e · outbound

This paper cites A Nonuniform Fast.

A recursive butterfly factorization with optimality guarantees A Nonuniform Fast

Reference 69

Resolution
unresolved
no resolver link, observed 2026-08-03T08:40:00.501372Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T08:40:00.501372Z digest=sha256:df05b8a2cae5f423104632fc1f8130d4a1b84ffafc3681edf4758847c42fc6c3

Observation 27173907-95d6-4a2e-84e7-49357a3caa61 · outbound

This paper cites and O'Neil, Michael , TITLE =.

A recursive butterfly factorization with optimality guarantees and O'Neil, Michael , TITLE =

Reference 70

Resolution
verified exact
doi, observed 2026-08-03T08:43:25.272075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-03T08:40:00.513536Z digest=sha256:963cc1e814504e38a23ad9f37ee36d4cc680e2dbd8e7e1d3e78204c6dfcf3dd5

Observation 803ad9a9-dfad-4d4e-98b6-9c6505750544 · outbound

This paper cites Proceedings of Thirty Ninth Conference on Learning Theory , pages =.

A recursive butterfly factorization with optimality guarantees Proceedings of Thirty Ninth Conference on Learning Theory , pages =

Reference 71

Resolution
unresolved
no resolver link, observed 2026-08-03T08:40:00.522043Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T08:40:00.522043Z digest=sha256:d0dc315a7e03fef75d01d9b5e9d393e3db15105fa28da55cf236f7ee1f9a8492

Pith citing papers

No inbound Pith citation observations are available.