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Paper Citation Record · LEDGER

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization

As of 16 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:1908.09376.

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

pith.paper-citation-record.v1
1908.09376 v2

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:18:20.050141Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

38 of 38 outbound references displayed

  • verified exact2
  • verified fuzzy17
  • unresolved19
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 57c17eb6-87d2-42fa-9302-a05c884914f5 · outbound

This paper cites Bao and W.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Bao and W

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:18:20.901887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 5f0ba8f8-29fb-47a3-9ea6-da361ed9f6cb · outbound

This paper cites an unresolved cited work.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:18:20.888101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 2b367b7d-8d83-45b0-b5b3-c13b43eaca68 · outbound

This paper cites An algorithm for the rapid numerical evaluation of Bessel functions of real orders and arguments.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization An algorithm for the rapid numerical evaluation of Bessel functions of real orders and arguments

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:18:20.145614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 62d91547-38a9-43e4-b766-85cd77f00194 · outbound

This paper cites an unresolved cited work.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:18:20.872544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:18:19.855695Z digest=sha256:35bb46a736799f582ad9eaed7baf67228ccb9c22c8e48941e0b7667c75b9ed97

Observation d00fe913-4bc4-4a19-a8e7-9e83679d4566 · outbound

This paper cites Buchin and W.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Buchin and W

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:18:20.856586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:18:19.860831Z digest=sha256:9614b7f8204ee603f9698350e130daae56fd4d22698d1841f1a2896920df7abe

Observation 36dbd250-8a1b-4ef8-9d20-6936f626d264 · outbound

This paper cites an unresolved cited work.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:18:20.842290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 2ca1d2ea-80f8-4862-b4dd-f304496cf1d8 · outbound

This paper cites Costantin, A.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Costantin, A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:18:20.827263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:18:19.869740Z digest=sha256:cf08557887030a19de80d9a988fe75b1ecb9d4451f690ab8be361d8e937b8dbb

Observation 8f3790c5-6b70-45fd-b237-cae5a1bff92b · outbound

This paper cites an unresolved cited work.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:18:20.812444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:18:19.876035Z digest=sha256:32981e10fc455eb2bc80e572d7c3a5ffd041f3e5a8da8111b2c1a7bc59c3304f

Observation aa6d9be9-df49-424a-8cfc-16754b0363e9 · outbound

This paper cites de Berg, O.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization de Berg, O

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:18:20.798440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:18:19.880753Z digest=sha256:3f9e9fc32397f23b54f2ffadca164360de6314936202295819cb2ca6b9e25f51

Observation fb9e39b7-462c-4c5c-a3ba-98b78df48bf0 · outbound

This paper cites Demanet and L.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Demanet and L

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:18:20.783911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 331d7d4e-89b2-48e6-9980-824188bf1344 · outbound

This paper cites an unresolved cited work.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:18:20.770725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 8272f37a-6aac-44fe-a7b3-82c7768600d5 · outbound

This paper cites Engquist and L.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Engquist and L

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:18:20.757225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:18:19.893001Z digest=sha256:3dd10034f8cc64624801f6f29e00738b68f9a13b085221d1d0639b1c28756744

Observation 4063e468-2e67-47b4-aa55-05d667b6b2ba · outbound

This paper cites Greengard and J.-Y.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Greengard and J.-Y

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:18:20.744749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:18:19.898469Z digest=sha256:5b347c846880040ef1cb717e92368c9eeea1c191046d8ee1acb1c9a1299e4a95

Observation b2469ff1-2555-413b-b32c-0bbc8327c184 · outbound

This paper cites an unresolved cited work.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:18:20.729998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:18:19.903480Z digest=sha256:773e3271cfddf06bc3100618b960ab46ce53453c6c154ea1884e25a71e8f0aad

Observation 6b662879-3660-4ef9-885b-807d2ba564fa · outbound

This paper cites Halko, P.-G.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Halko, P.-G

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:18:20.716192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:18:19.909062Z digest=sha256:fc8abe7e61ff8883ad9baa945833905d056865b0e78c0b70276b36652d8a5b4e

Observation 59337a65-4aba-4822-b3aa-f8f615067d1a · outbound

This paper cites Hoffman and K.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Hoffman and K

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:18:20.702491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:18:19.913349Z digest=sha256:d8eb8f2a426c272fd4275534a50f45a554e8b6003694023f3803921a56ef8b4a

Observation f8eb8aca-39d2-4732-a19f-3007b3914bbd · outbound

This paper cites Isozaki and J.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Isozaki and J

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:18:20.688284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:18:19.917863Z digest=sha256:9da816b6e7ba7bf4eb2edc15dbc47052fc39b6d741a46a6aa8d4294f0f10531b

Observation e83e7325-163f-49c2-a344-a363b54c3ead · outbound

This paper cites Jianchun, G.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Jianchun, G

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:18:20.674546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:18:19.922480Z digest=sha256:d0203da339e50a1bec7c397c6c4ebace2f33bd0837beb8e9cb7398154095de9c

Observation a5ed4e82-4c00-4bd4-9cbf-a59ffb056233 · outbound

This paper cites an unresolved cited work.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:18:20.660784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:18:19.926936Z digest=sha256:dead0dc65941cc7cf3a6dd8e74afed2d0492809b60ac9708d7cc17ea4f3b8400

Observation b5209b37-12a7-4c5d-b2ba-77330504c212 · outbound

This paper cites Li and H.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Li and H

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:18:20.647373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:18:19.933842Z digest=sha256:3bd45591bab3529d70ab3d00ee343d2af2f0789041197570d505152f26f30a26

Observation 4b6ffecd-af16-4ffb-8a4b-4e9236c10779 · outbound

This paper cites an unresolved cited work.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:18:20.528668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation cecb6377-587a-4625-a8a5-a1690ea40901 · outbound

This paper cites an unresolved cited work.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:18:20.516018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 7032c062-27f1-44f0-8015-df5c3c6c0454 · outbound

This paper cites an unresolved cited work.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:18:20.503054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:18:19.958247Z digest=sha256:051ccd519bed73ef5455b302d85db699430499a6f91299d5517f32f850ab804d

Observation 41b2a385-a5d5-40e6-bf4d-d99a1a3374aa · outbound

This paper cites an unresolved cited work.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:18:20.488952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:18:19.965768Z digest=sha256:b7fb4cfe2eaade3129ff9558418ee3bc13494d95f776ce1d8415f988eb8423a2

Observation 21f9da05-edde-4d5d-85ca-41e7f2140bb5 · outbound

This paper cites Michielssen and A.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Michielssen and A

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:18:20.475863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:18:19.972890Z digest=sha256:632b4907e272dca8a4556e5026b7039c307fed7b2d1a8a78f3325ab9a6e290e9

Observation a4c2d8f8-c1d2-4a44-b22d-0b1dbfcb6622 · outbound

This paper cites an unresolved cited work.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:18:20.462924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:18:19.978569Z digest=sha256:7ecd4619d4b883774bc65b87063622144dae4e5d7df7974061f381b2cd6ea57c

Observation eb342d11-a92b-428c-9c2f-50064d0e959f · outbound

This paper cites O’Neil, F.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization O’Neil, F

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:18:20.448231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:18:19.987559Z digest=sha256:be8d5b30df2bc64c8b1e83df7d7538d3929fed9891c2e7f7cc0431d42258abff

Observation f777af0a-59f2-4a6e-aead-02e719d68630 · outbound

This paper cites Interpolative Decomposition Butterfly Factorization.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Interpolative Decomposition Butterfly Factorization

Reference 28

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:18:20.097303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:18:19.992714Z digest=sha256:653b61dd4be8f45fcae72ba57b96312feb3ddc3f40f4fc698fb35266a547e188

Observation ef456993-c90a-48c9-a86f-dc8dabbea03b · outbound

This paper cites an unresolved cited work.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:18:20.430314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:18:19.998769Z digest=sha256:33ea260a59a9d388443794b8c3bab26ef87524ab1e6e926345ef86cb00a7eb1e

Observation 2aebccfa-e2b2-451d-9fd1-c97301c57e45 · outbound

This paper cites an unresolved cited work.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:18:20.397400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:18:20.004209Z digest=sha256:deba8a67b29ecec511de0c494d2c23cffee17e5fe38a24cb0b0d4136a2a65e48

Observation c6911e00-7c0f-4fb9-9489-bf73fbf6efa0 · outbound

This paper cites an unresolved cited work.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:18:20.382989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:18:20.009708Z digest=sha256:1347680e5dcb8cba38aee1e17cd170c4d445df59423eeab48f033ea70dafb767

Observation 9d7e5f95-636e-4eac-8c46-6b814e9d1bd3 · outbound

This paper cites Ruiz-Antoln and A.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Ruiz-Antoln and A

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:18:20.365632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:18:20.017619Z digest=sha256:180cbfa305fd50b5fa9ae013ac1be0f99a2530ed516c27a0b8400fb516652290

Observation ad643eb4-447c-4d56-9b39-9361c9feb937 · outbound

This paper cites an unresolved cited work.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:18:20.336509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:18:20.022493Z digest=sha256:b98c51acd12b4434c6aea10d4214fdc41c4005adae8237832e3f5779b707b239

Observation f795a72a-eb6e-434f-9351-fcb35d77ff10 · outbound

This paper cites Trouv´ e, J.-M.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Trouv´ e, J.-M

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:18:20.294207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:18:20.031291Z digest=sha256:c9bef384b402cbd046bbe650860e93612f76a30cb5340c3b4ffcb91302a63646

Observation afae689b-e124-414e-b363-552b690d9205 · outbound

This paper cites an unresolved cited work.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:18:20.278495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:18:20.036055Z digest=sha256:5cb0c86a6e8d388045bf172e87a6fe4f1dd51de660f9415fac610b754c6d767a

Observation 2760776b-31c1-4c5d-b72a-fb75dac32f8c · outbound

This paper cites Van Loan.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Van Loan

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:18:20.207772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:18:20.040965Z digest=sha256:1c0f6a405dc2f5cba402f2b08634fa6a722bae3c3d6451b76ac08a7efae2bdf5

Observation 73af2301-0fa6-40c5-91e9-7790fc99913a · outbound

This paper cites an unresolved cited work.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:18:20.174651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:18:20.045992Z digest=sha256:ae32046cec987fe631c0f8c25cfe49721d559b4dd6a21c5a977ca424dce01a7f

Observation d3b7f02e-35c3-40b5-97a6-53e5c6af3855 · outbound

This paper cites an unresolved cited work.

Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:18:20.160146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:18:20.050141Z digest=sha256:8de8eb03efe659ffaec17f91124cec611fb8e08bef8b6558d2ae4e3148cbf1a1

Pith citing papers

No inbound Pith citation observations are available.