Paper Citation Record · LEDGER

Adaptive, Matrix-Free Low-Rank Approximation

As of 9 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2607.06758.

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

pith.paper-citation-record.v1
2607.06758 v1

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-10T21:57:20.423107Z

measured 47 of 47 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.

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measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

47 of 47 outbound references displayed

verified exact11
verified fuzzy24
unresolved10
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External citation measurements

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Outbound references

Observation b3408794-710a-4d7b-8431-16ae0456df9d · outbound

This paper cites Bebendorf , Approximation of boundary element matrices , Numerische Mathematik, 86 (2000), pp.

Adaptive, Matrix-Free Low-Rank Approximation Bebendorf , Approximation of boundary element matrices , Numerische Mathematik, 86 (2000), pp

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:57:39.724415Z

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Observation 63031e0a-7aae-4560-addd-fb7134d3732c · outbound

This paper cites Bebendorf, Hierarchical Matrices: A Means to Efficiently Solve Elliptic Boundary Value Problems, Springer.

Adaptive, Matrix-Free Low-Rank Approximation Bebendorf, Hierarchical Matrices: A Means to Efficiently Solve Elliptic Boundary Value Problems, Springer

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:57:39.823878Z

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Observation d1482fe2-935f-4356-93cb-c07ab9487fab · outbound

This paper cites Pass-Efficient Randomized Algorithms for Low-Rank Matrix Approximation Using Any Number of Views.

Adaptive, Matrix-Free Low-Rank Approximation Pass-Efficient Randomized Algorithms for Low-Rank Matrix Approximation Using Any Number of Views

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-07-10T21:57:37.140615Z

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Observation b6a6522d-1041-41b8-8ed1-f20571bf877f · outbound

This paper cites Bui-Thanh, O.

Adaptive, Matrix-Free Low-Rank Approximation Bui-Thanh, O

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:57:39.623049Z

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Observation db764e3c-59f9-4975-97e4-078c0b63feb2 · outbound

This paper cites Carrel, Randomized methods for dynamical low-rank approximation , 2024, https://arxiv.

Adaptive, Matrix-Free Low-Rank Approximation Carrel, Randomized methods for dynamical low-rank approximation , 2024, https://arxiv

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-07-10T21:57:37.171921Z

Source-reported events for the cited work

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Observation f6c279c8-daa5-450b-9869-095f76a4c243 · outbound

This paper cites Chandrasekaran, P.

Adaptive, Matrix-Free Low-Rank Approximation Chandrasekaran, P

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:57:39.844636Z

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Observation 9895dcce-82b1-4a78-b543-abe80cad4aee · outbound

This paper cites an unresolved cited work.

Adaptive, Matrix-Free Low-Rank Approximation Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-07-10T21:57:39.692524Z

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Observation 74b6b0a8-3638-4abe-a5c7-7d9d89ec53b7 · outbound

This paper cites Cheng, Z.

Adaptive, Matrix-Free Low-Rank Approximation Cheng, Z

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:57:39.800447Z

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Observation 39730e40-034b-40d1-b4f7-ee4c0547b282 · outbound

This paper cites De Lathauwer, B.

Adaptive, Matrix-Free Low-Rank Approximation De Lathauwer, B

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:57:39.862889Z

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Observation 7b4ccb09-8760-4107-97bb-c7eb6fc5057d · outbound

This paper cites an unresolved cited work.

Adaptive, Matrix-Free Low-Rank Approximation Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-07-10T21:57:39.655759Z

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Observation b85764f0-4b2d-4e12-b38b-57e5bd06038f · outbound

This paper cites an unresolved cited work.

Adaptive, Matrix-Free Low-Rank Approximation Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-07-10T21:57:39.753007Z

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Observation c9b4bab4-32b9-43f4-9ba8-861c42ba8ae0 · outbound

This paper cites an unresolved cited work.

Adaptive, Matrix-Free Low-Rank Approximation Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-07-10T21:57:40.138644Z

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Observation 69f319d9-c832-48f1-931d-75107af2409b · outbound

This paper cites Ghysels, T.

Adaptive, Matrix-Free Low-Rank Approximation Ghysels, T

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:57:39.909801Z

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Observation 482c3fbe-a81a-4026-9d3e-f8646cc3d4b8 · outbound

This paper cites Gittens and M.

Adaptive, Matrix-Free Low-Rank Approximation Gittens and M

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:57:40.305552Z

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Observation 27c49937-e2aa-4146-a854-92a0aa60c063 · outbound

This paper cites an unresolved cited work.

Adaptive, Matrix-Free Low-Rank Approximation Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-07-10T21:57:40.032450Z

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Observation 25a48ee6-c239-49e3-9d00-6cfcd3d2006d · outbound

This paper cites an unresolved cited work.

Adaptive, Matrix-Free Low-Rank Approximation Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-07-10T21:57:39.497691Z

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Observation 679192b5-0e41-453d-afd9-f0a960ccd2d3 · outbound

This paper cites Gorman, G.

Adaptive, Matrix-Free Low-Rank Approximation Gorman, G

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:57:39.978695Z

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Observation c9e644c9-670b-49d1-b8f6-cd3d2ac914af · outbound

This paper cites Gratton and D.

Adaptive, Matrix-Free Low-Rank Approximation Gratton and D

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:57:40.007855Z

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Observation 6247b167-6c58-404e-a19b-1ac8a0a902a6 · outbound

This paper cites Gu, Subspace iteration randomization and singular value problems , SIAM Journal on Sci- entific Computing, 37 (2015), pp.

Adaptive, Matrix-Free Low-Rank Approximation Gu, Subspace iteration randomization and singular value problems , SIAM Journal on Sci- entific Computing, 37 (2015), pp

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:57:40.059957Z

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Observation 183a481b-fa7c-415f-be43-4c1e1465f826 · outbound

This paper cites Gu and S.

Adaptive, Matrix-Free Low-Rank Approximation Gu and S

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:57:39.515801Z

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Observation 3c075bd9-a8cb-43aa-a7b1-c40412ebc206 · outbound

This paper cites Hackbusch, Hierarchical Matrices: Algorithms and Analysis , Springer, 2015.

Adaptive, Matrix-Free Low-Rank Approximation Hackbusch, Hierarchical Matrices: Algorithms and Analysis , Springer, 2015

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:57:39.540955Z

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Observation 366c1d93-4a9b-4bc9-b9f2-f567215704a6 · outbound

This paper cites Halko, P.-G.

Adaptive, Matrix-Free Low-Rank Approximation Halko, P.-G

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:57:40.181841Z

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Observation 7e442b8a-4243-423d-b980-959a2e9f3ec5 · outbound

This paper cites Heavner, C.

Adaptive, Matrix-Free Low-Rank Approximation Heavner, C

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:57:40.236862Z

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Observation f5de470d-d652-40d7-8411-03ef1ca604bd · outbound

This paper cites Heldring, E.

Adaptive, Matrix-Free Low-Rank Approximation Heldring, E

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:57:40.157898Z

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Observation 9880a7e3-7b6b-4eaa-aa79-66996b69056f · outbound

This paper cites Hutchinson.

Adaptive, Matrix-Free Low-Rank Approximation Hutchinson

Reference 25

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Observation 294220bd-eeec-4020-97db-8db914d57acd · outbound

This paper cites Levitt and P.-G.

Adaptive, Matrix-Free Low-Rank Approximation Levitt and P.-G

Reference 26

Resolution: verified exact; doi, observed 2026-07-10T21:57:36.492488Z

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Observation b3242d2a-429f-44e8-a7df-782d9a5e415c · outbound

This paper cites an unresolved cited work.

Adaptive, Matrix-Free Low-Rank Approximation Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-07-10T21:57:39.588066Z

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Observation bf2d620b-b6ee-4728-90cc-313db442793a · outbound

This paper cites Efficient adaptive randomized algorithms for fixed-threshold low-rank matrix approximation.

Adaptive, Matrix-Free Low-Rank Approximation Efficient adaptive randomized algorithms for fixed-threshold low-rank matrix approximation

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-07-10T21:57:37.107549Z

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Observation 13c9786b-63ed-4a39-91ae-7d36d3108f70 · outbound

This paper cites Martinsson , Compressing rank-structured matrices via randomized sampling , SIAM Journal on Scientific Computing, 38 (2016), pp.

Adaptive, Matrix-Free Low-Rank Approximation Martinsson , Compressing rank-structured matrices via randomized sampling , SIAM Journal on Scientific Computing, 38 (2016), pp

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:57:39.882272Z

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Observation 91ab4439-6dc1-4007-9319-724788a10c4e · outbound

This paper cites Martinsson, G.

Adaptive, Matrix-Free Low-Rank Approximation Martinsson, G

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:57:39.777181Z

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Observation 388b04ea-1844-4ff9-a6a0-6781609e35a5 · outbound

This paper cites Martinsson, G.

Adaptive, Matrix-Free Low-Rank Approximation Martinsson, G

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:57:39.562164Z

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Observation 4241bc28-ca8d-4e2e-a382-d7aa6c28c51f · outbound

This paper cites an unresolved cited work.

Adaptive, Matrix-Free Low-Rank Approximation Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-07-10T21:57:40.204837Z

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Observation 7c6877f4-eb81-49fb-9d62-27e748b03d47 · outbound

This paper cites Martinsson and S.

Adaptive, Matrix-Free Low-Rank Approximation Martinsson and S

Reference 33

Resolution: verified exact; doi, observed 2026-07-10T21:57:36.402606Z

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Observation 741a8175-abdd-47d6-863c-1905b86ba976 · outbound

This paper cites Meier and Y.

Adaptive, Matrix-Free Low-Rank Approximation Meier and Y

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:57:39.453368Z

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Observation 8de78da6-13d4-474e-ae7c-4ed4b32c29f0 · outbound

This paper cites Fast and stable randomized low-rank matrix approximation.

Adaptive, Matrix-Free Low-Rank Approximation Fast and stable randomized low-rank matrix approximation

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-07-10T21:57:37.079677Z

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Observation 2ae2076f-a8f8-49f5-b6c7-cd6574a64d5e · outbound

This paper cites an unresolved cited work.

Adaptive, Matrix-Free Low-Rank Approximation Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-07-10T21:57:39.942857Z

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Observation 8147bc6f-d6da-4e88-a802-00336bc89199 · outbound

This paper cites Pearce, C.

Adaptive, Matrix-Free Low-Rank Approximation Pearce, C

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:57:40.275166Z

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Observation 4d4451b1-fe79-4474-a34e-ee35dec0c60f · outbound

This paper cites an unresolved cited work.

Adaptive, Matrix-Free Low-Rank Approximation Unresolved cited work

Reference 38

Resolution: verified exact; arxiv_id, observed 2026-07-10T21:57:37.044095Z

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

Observation 042651c2-73ce-4f4a-b037-f5ba30aff294 · outbound

This paper cites arXiv preprint arXiv:2405.04811 , year=.

Adaptive, Matrix-Free Low-Rank Approximation arXiv preprint arXiv:2405.04811 , year=

Reference 39

Resolution: verified exact; arxiv_id, observed 2026-07-10T21:57:37.006629Z

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Observation 53258d0e-a3be-4cbf-b0d7-6236f670e503 · outbound

This paper cites Pritchard, T.

Adaptive, Matrix-Free Low-Rank Approximation Pritchard, T

Reference 40

Resolution: verified exact; arxiv_id, observed 2026-07-10T21:57:36.940989Z

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Observation 1155e7d6-8d58-49d4-a453-4c530e534bae · outbound

This paper cites Saad, Numerical Methods for Large Eigenvalue Problems , SIAM, 2011.

Adaptive, Matrix-Free Low-Rank Approximation Saad, Numerical Methods for Large Eigenvalue Problems , SIAM, 2011

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:57:40.121618Z

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Observation acc4270c-5e54-4c1b-9d73-39fec2947a73 · outbound

This paper cites an unresolved cited work.

Adaptive, Matrix-Free Low-Rank Approximation Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-07-10T21:57:39.515613Z

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Observation ca436e11-b33f-42f2-8b98-9a7ff0d12ea6 · outbound

This paper cites Vannieuwenhoven, R.

Adaptive, Matrix-Free Low-Rank Approximation Vannieuwenhoven, R

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:57:40.101170Z

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Observation 875a93d4-9a5f-4a9b-9e10-6a2ba193fce4 · outbound

This paper cites Xia, Randomized sparse direct solvers, SIAM Journal on Matrix Analysis and Applications, 34 (2013), pp.

Adaptive, Matrix-Free Low-Rank Approximation Xia, Randomized sparse direct solvers, SIAM Journal on Matrix Analysis and Applications, 34 (2013), pp

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:57:39.477686Z

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Observation 24539009-96bc-4479-b01f-6f1286ee3543 · outbound

This paper cites A Novel Adaptive Low-Rank Matrix Approximation Method for Image Compression and Reconstruction.

Adaptive, Matrix-Free Low-Rank Approximation A Novel Adaptive Low-Rank Matrix Approximation Method for Image Compression and Reconstruction

Reference 45

Resolution: verified exact; local_arxiv, observed 2026-07-10T21:57:36.968039Z

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

Observation bd5550a0-82d9-4a9a-9890-693ac4fde002 · outbound

This paper cites Yesypenko and P.-G.

Adaptive, Matrix-Free Low-Rank Approximation Yesypenko and P.-G

Reference 46

Resolution: malformed identifier; raw_fallback, observed 2026-07-10T21:57:40.082399Z

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Observation cdde334c-02fa-4e2c-9396-69fbcc55d3a4 · outbound

This paper cites an unresolved cited work.

Adaptive, Matrix-Free Low-Rank Approximation Unresolved cited work

Reference 47

Resolution: verified exact; doi, observed 2026-07-10T21:57:36.429283Z

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

Pith citing papers

No inbound Pith citation observations are available.