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Paper Citation Record · LEDGER

A Discrete Cumulative Distribution Transform via Optimal Transport

As of 9 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:2606.12131.

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

pith.paper-citation-record.v1
2606.12131 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T07:48:25.326741Z

measured 21 of 21 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T19:16:44.805922Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

20 of 20 outbound references displayed

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  • verified fuzzy0
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 31c6351b-5e98-4210-b1f8-0e14d321f9cf · outbound

This paper cites Rohde, and Sumati Thareja.

A Discrete Cumulative Distribution Transform via Optimal Transport Rohde, and Sumati Thareja

Reference 1

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source=pdf_text observed=2026-06-27T07:48:25.326741Z digest=sha256:3015a9a42bdaef04dfe19e10f3fbe529d34f9610f25f9aed4b1814a85b48593c

Observation 06581250-b312-4526-a2e6-684b7cd45f21 · outbound

This paper cites Springer, 2005.

A Discrete Cumulative Distribution Transform via Optimal Transport Springer, 2005

Reference 2

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source=pdf_text observed=2026-06-27T07:48:25.326741Z digest=sha256:2684b509ae97338d5a53e2d05600e233f8ea3fe61f2d65eada3c7e10b7dca930

Observation 4628892a-ee62-417d-824b-625a9682a6ae · outbound

This paper cites Optimal mass transport: Signal processing and machine-learning applications.IEEE signal processing magazine, 34(4):43–59, 2017.

A Discrete Cumulative Distribution Transform via Optimal Transport Optimal mass transport: Signal processing and machine-learning applications.IEEE signal processing magazine, 34(4):43–59, 2017

Reference 3

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source=pdf_text observed=2026-06-27T07:48:25.326741Z digest=sha256:f0fc635394b9aae575c53b06a1766616ed9c6ed7978ca5c3fcffe59390356a78

Observation a1b4edfc-bcc3-4831-935f-3bc8e5b8afa0 · outbound

This paper cites Corrosion detection from ir thermal images in signed cumulative distribution transform domain.NDT & E International, 154:103390, 2025.

A Discrete Cumulative Distribution Transform via Optimal Transport Corrosion detection from ir thermal images in signed cumulative distribution transform domain.NDT & E International, 154:103390, 2025

Reference 4

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source=pdf_text observed=2026-06-27T07:48:25.326741Z digest=sha256:73d785f93a868edab50c12d43705a3d8ab01319d0e442d7beb5802473f85fab7

Observation 3bc3fbea-bef0-4025-a91a-e65e8a7657a5 · outbound

This paper cites Transport-based pattern recognition versus deep neural networks in underwater oam communications.Journal of the Optical Society of America A, 38(7):954–962, 2021.

A Discrete Cumulative Distribution Transform via Optimal Transport Transport-based pattern recognition versus deep neural networks in underwater oam communications.Journal of the Optical Society of America A, 38(7):954–962, 2021

Reference 5

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T07:48:25.326741Z digest=sha256:f862bd5b31dd3b3f2a43850bde6ddb17fec197b3d250f86590c01c1ff8c39112

Observation aeb88ab4-5d44-47cc-816b-61f413bdac0e · outbound

This paper cites Time delay estimation via wasserstein distance minimization.IEEE Signal Processing Letters, 26(6):908–912, 2019.

A Discrete Cumulative Distribution Transform via Optimal Transport Time delay estimation via wasserstein distance minimization.IEEE Signal Processing Letters, 26(6):908–912, 2019

Reference 6

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source=pdf_text observed=2026-06-27T07:48:25.326741Z digest=sha256:11d6b8ff6b3dc2f184813a1ebb209228b28e2362a0cef29b57f7a70cffe95c4a

Observation 0df8cce1-79fb-4ae8-ba31-7a22087efe5b · outbound

This paper cites an unresolved cited work.

A Discrete Cumulative Distribution Transform via Optimal Transport Unresolved cited work

Reference 7

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source=pdf_text observed=2026-06-27T07:48:25.326741Z digest=sha256:eb5ab0f54575d522019cc63965fbb931d21c485ec1c9736c64f537a0b5e9b38b

Observation 7420ad90-40d8-4486-9a89-746707d7571c · outbound

This paper cites an unresolved cited work.

A Discrete Cumulative Distribution Transform via Optimal Transport Unresolved cited work

Reference 8

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source=pdf_text observed=2026-06-27T07:48:25.326741Z digest=sha256:8b8e5073e787ad3be18755f55837fdf6685447884de457eac8568c1117bfb6d8

Observation 5bddf311-74cf-4126-b188-ce704615a136 · outbound

This paper cites De-multiplexing vortex modes in optical communications using transport-based pattern recognition.

A Discrete Cumulative Distribution Transform via Optimal Transport De-multiplexing vortex modes in optical communications using transport-based pattern recognition

Reference 9

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T07:48:25.326741Z digest=sha256:2217d4a3ded8c1c04750d76c777bec8e7d955087074a56634db98f243dc63d4e

Observation 92bb6706-cedc-41b0-84d5-0ac60ee3d748 · outbound

This paper cites The cumulative distribution transform and linear pattern classification.Applied and computational harmonic analysis, 45(3):616– 641, 2018.

A Discrete Cumulative Distribution Transform via Optimal Transport The cumulative distribution transform and linear pattern classification.Applied and computational harmonic analysis, 45(3):616– 641, 2018

Reference 10

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source=pdf_text observed=2026-06-27T07:48:25.326741Z digest=sha256:75018cbafbec3251b5f8978b5e6481d56f0d8839e495f58d9d71f7c7c13405bd

Observation 72944e99-42b5-4487-a282-ffea900da078 · outbound

This paper cites Now Foundations and Trends, 2019.

A Discrete Cumulative Distribution Transform via Optimal Transport Now Foundations and Trends, 2019

Reference 11

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source=pdf_text observed=2026-06-27T07:48:25.326741Z digest=sha256:885cdd758e591b4e6260257381b3ae78ffb84533ddd13ea39eaa2c9681372b36

Observation 18116e83-a3bc-433f-8453-39393432073e · outbound

This paper cites Model reduction of traveling-wave problems via radon cumulative distribution transform.Physical Review Fluids, 6(8):L082501, 2021.

A Discrete Cumulative Distribution Transform via Optimal Transport Model reduction of traveling-wave problems via radon cumulative distribution transform.Physical Review Fluids, 6(8):L082501, 2021

Reference 12

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T07:48:25.326741Z digest=sha256:afd17498027debf1b992ceca370a7e08df6a9189adfc5d62fec0cd8cc3295370

Observation a04351b0-40c7-4129-a737-18d7144fe14b · outbound

This paper cites an unresolved cited work.

A Discrete Cumulative Distribution Transform via Optimal Transport Unresolved cited work

Reference 13

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source=pdf_text observed=2026-06-27T07:48:25.326741Z digest=sha256:e0f12545fe67475eb2ee8b0557ab60643f4548b3d045f3c930de634f17027a4b

Observation 3b18073b-96c2-4315-84b1-eeaf248f62ec · outbound

This paper cites Parametric signal estimation using the cumulative distribution transform.IEEE Transactions on Signal Processing, 68:3312–3324, 2020.

A Discrete Cumulative Distribution Transform via Optimal Transport Parametric signal estimation using the cumulative distribution transform.IEEE Transactions on Signal Processing, 68:3312–3324, 2020

Reference 14

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source=pdf_text observed=2026-06-27T07:48:25.326741Z digest=sha256:2e1fcba0f4d267d32e5bb1e50a7a6f66fd945486e3db1f45a4af0fa8624b5a0b

Observation 45aacf61-783d-43ed-8de8-a18c82dc84ea · outbound

This paper cites End-to-end signal classification in signed cumulative distribution transform space.IEEE Transactions on Pattern Analysis and Machine Intelligence, 46(9):5936–5950, 2024.

A Discrete Cumulative Distribution Transform via Optimal Transport End-to-end signal classification in signed cumulative distribution transform space.IEEE Transactions on Pattern Analysis and Machine Intelligence, 46(9):5936–5950, 2024

Reference 15

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source=pdf_text observed=2026-06-27T07:48:25.326741Z digest=sha256:71bc308e8d6d7af03cceafaf67d488e1051024be90310295331d76ad067349fa

Observation fb091410-303d-4af2-9f41-d1d1cf449a77 · outbound

This paper cites an unresolved cited work.

A Discrete Cumulative Distribution Transform via Optimal Transport Unresolved cited work

Reference 16

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source=pdf_text observed=2026-06-27T07:48:25.326741Z digest=sha256:3af72faa20bf07a867e93daa9cac585a2a1d4a0072c6bb460a66156c0422c840

Observation 3066c8fb-81b4-47fa-966f-97983d948042 · outbound

This paper cites Birkh¨ auser/Springer, Cham, 2015.

A Discrete Cumulative Distribution Transform via Optimal Transport Birkh¨ auser/Springer, Cham, 2015

Reference 17

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source=pdf_text observed=2026-06-27T07:48:25.326741Z digest=sha256:bbe236cc0ac9537949aaa28453447d5af32a157712e93e94976501cc88d02943

Observation 683b9dfc-e8e1-453a-8a58-60548cdeb7db · outbound

This paper cites American Mathematical Soc., 2021.

A Discrete Cumulative Distribution Transform via Optimal Transport American Mathematical Soc., 2021

Reference 18

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source=pdf_text observed=2026-06-27T07:48:25.326741Z digest=sha256:a30806a5e8ed4f3fea7c3b513bd24f403b566d907c8fa4d649b372266195d841

Observation babfcfca-f15b-48b5-b916-cfa292b0c09a · outbound

This paper cites Fault detection based on optimal transport theory.

A Discrete Cumulative Distribution Transform via Optimal Transport Fault detection based on optimal transport theory

Reference 19

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source=pdf_text observed=2026-06-27T07:48:25.326741Z digest=sha256:c204a3b76439c94ee1a0e3ddb9a4c1f9f27368cc2320ccd594a8203f6bbbff49

Observation d4484045-a8ab-4fd9-b223-6ea602549760 · outbound

This paper cites Combining deep learning with r-cdt for solar defect recog- nition.

A Discrete Cumulative Distribution Transform via Optimal Transport Combining deep learning with r-cdt for solar defect recog- nition

Reference 20

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source=pdf_text observed=2026-06-27T07:48:25.326741Z digest=sha256:dc861a3480c71ebb4d109f8eb6b27414a108ec9aa08c3c3f387e4c945a236d4f

Pith citing papers

Observation 1b4c2389-382a-43e4-b9b1-0114096c9cdd · inbound

Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform cites this paper.

Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform A Discrete Cumulative Distribution Transform via Optimal Transport

Reference 56

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source=pdf_text observed=2026-08-01T19:16:44.805922Z digest=sha256:a2cd9dd89533ae92ab5d423c74f0e44c7142ccbcbd883b39fa56b4d61ff88e9d