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Paper Citation Record · LEDGER

Analytic properties of cross-click operators in passive multi-basis photodetection: monotonicity, exact convergence rates, and dimension reduction for quantum key distribution

As of 10 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 1 inbound Pith citation observation for arXiv:2607.04186.

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

pith.paper-citation-record.v1
2607.04186 v1

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T21:06:35.789638Z

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-14T10:09:54.876436Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

41 of 41 outbound references displayed

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External citation measurements

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Outbound references

Observation 6e2880cd-eb79-44a1-8b49-93fc7e28661e · outbound

This paper cites at least one party registers a cross click.

Analytic properties of cross-click operators in passive multi-basis photodetection: monotonicity, exact convergence rates, and dimension reduction for quantum key distribution at least one party registers a cross click

Reference 1

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:1d5e9286399c0c8c031f6c81031772e39cee765ac46e0e361d8d3a6f18ad0ad1

Observation 35f24fbb-312e-4030-8e54-978f738f88d7 · outbound

This paper cites Exactf (2) forM= 2.By Eq.

Analytic properties of cross-click operators in passive multi-basis photodetection: monotonicity, exact convergence rates, and dimension reduction for quantum key distribution Exactf (2) forM= 2.By Eq

Reference 2

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:2a764b068b490d5026f55d02092792aaf17f54514915aa4390045f4a79967f5c

Observation 66a24f45-d5aa-44f7-8b09-cb324b7d3d36 · outbound

This paper cites an unresolved cited work.

Analytic properties of cross-click operators in passive multi-basis photodetection: monotonicity, exact convergence rates, and dimension reduction for quantum key distribution Unresolved cited work

Reference 3

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:562fa6f980f4ef81b5d5df170edbba32581cb3380915ba2439c0a951771ef914

Observation 30c2ea92-abd9-4b3c-bbc0-67de32a3c0a0 · outbound

This paper cites Renner, Security of quantum key distribution, Int.

Analytic properties of cross-click operators in passive multi-basis photodetection: monotonicity, exact convergence rates, and dimension reduction for quantum key distribution Renner, Security of quantum key distribution, Int

Reference 4

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:9821399c789137dc24dd6f4171ee04d229863f2bc7d6c6b59084434f60fd52bf

Reference 5

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:970ca298f0587718e96c1a5c0adacad90906a36bc4cbb5a990b0694c5aa7b93c

Observation a445879a-c6d9-4430-87a5-e20c1e6e23ee · outbound

This paper cites an unresolved cited work.

Analytic properties of cross-click operators in passive multi-basis photodetection: monotonicity, exact convergence rates, and dimension reduction for quantum key distribution Unresolved cited work

Reference 6

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:da2f0b6cd190d6e725869f8b2c523fd9928ba2e82fd1e440b9e388659a6f4194

Reference 7

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Reference 8

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:b62c3aac06eacc3032c26c9e060d3a657f3eaa0166565c3c8688d362559c325c

Reference 9

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:6582eb42e27bc729d62ad0bd201fe884325790e34ebb872bb6107dd26556c398

Observation 924832ad-5a23-47c1-a558-274cf897ec43 · outbound

This paper cites L¨ utkenhaus, Security against individual attacks for realistic quantum key distribution, Phys.

Analytic properties of cross-click operators in passive multi-basis photodetection: monotonicity, exact convergence rates, and dimension reduction for quantum key distribution L¨ utkenhaus, Security against individual attacks for realistic quantum key distribution, Phys

Reference 10

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:938b4b51ae2abd6217ba9025c1e9ddd2f54470cd16d770220554fedae382c9c3

Observation 08cfb33c-7cca-4f1a-bfbd-0c360522aec9 · outbound

This paper cites Gottesman, H.-K.

Analytic properties of cross-click operators in passive multi-basis photodetection: monotonicity, exact convergence rates, and dimension reduction for quantum key distribution Gottesman, H.-K

Reference 11

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:f8aefcce0663539fc673c75335e7ace07174cf4ecca06adc5ad881f54372cee2

Observation af61d836-f46a-442c-82e1-afde20e8fcd4 · outbound

This paper cites an unresolved cited work.

Analytic properties of cross-click operators in passive multi-basis photodetection: monotonicity, exact convergence rates, and dimension reduction for quantum key distribution Unresolved cited work

Reference 12

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:a5b0d6f830570450ceff034f3a24fdc0447a0089fbf1957b693786559ef4d803

Observation d4f3b198-3ba9-4fb9-b750-9f73ff871720 · outbound

This paper cites an unresolved cited work.

Analytic properties of cross-click operators in passive multi-basis photodetection: monotonicity, exact convergence rates, and dimension reduction for quantum key distribution Unresolved cited work

Reference 13

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:507a6bd715e5a592e519ed109926c64650ec57ad02f5d9b49c17ea84872d35f6

Observation 268447df-f668-419a-b7b1-161d65a5759d · outbound

This paper cites Security of quantum key distribution with detection-efficiency mismatch in the multiphoton case.

Analytic properties of cross-click operators in passive multi-basis photodetection: monotonicity, exact convergence rates, and dimension reduction for quantum key distribution Security of quantum key distribution with detection-efficiency mismatch in the multiphoton case

Reference 14

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:4311235319256df6aa99711a8b6fbc5b3b8105013fbb531065c0431196b30bfe

Reference 15

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:6a32f95e65558c94f62be1d11d835f09c67e130eeed67150b94d27da8c77b843

Observation a0bab1dd-3e30-41c5-8101-eba42325aeeb · outbound

This paper cites Hwang, Quantum key distribution with high loss: Toward global secure communication, Phys.

Analytic properties of cross-click operators in passive multi-basis photodetection: monotonicity, exact convergence rates, and dimension reduction for quantum key distribution Hwang, Quantum key distribution with high loss: Toward global secure communication, Phys

Reference 16

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:be362e16b497b43baaab39e0cdec97fb91b353e399e55e9d0a7d442035982507

Observation 0c18ef5d-15dc-4be4-9337-a2e7dc752f7d · outbound

This paper cites an unresolved cited work.

Analytic properties of cross-click operators in passive multi-basis photodetection: monotonicity, exact convergence rates, and dimension reduction for quantum key distribution Unresolved cited work

Reference 17

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:5a8d98c8e4a57cf7d19b94e3a6f809937e52c11960c0c7ba0254b48ca5deea81

Observation 8b48ad8b-cfd1-450f-ad70-6e1e1e7b42a8 · outbound

This paper cites Wang, Beating the photon-number-splitting attack in practical quantum cryptography, Phys.

Analytic properties of cross-click operators in passive multi-basis photodetection: monotonicity, exact convergence rates, and dimension reduction for quantum key distribution Wang, Beating the photon-number-splitting attack in practical quantum cryptography, Phys

Reference 18

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:c57643193c287d19de70334cf743090fd30b2aba6ff6920eb989cecc5017e65c

Observation 6859b8a5-8d90-4ce9-9f62-8ae7019ff0f7 · outbound

This paper cites an unresolved cited work.

Analytic properties of cross-click operators in passive multi-basis photodetection: monotonicity, exact convergence rates, and dimension reduction for quantum key distribution Unresolved cited work

Reference 19

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:2589da3f66faa557a21ced84b75f76b98125449ff9c703e630f055f22e772091

Reference 20

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:80c40eb4ce7d522d9cf8b0ec830192522f88296b7b84cb97845e363cd5039ee7

Reference 21

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:b4fc0cde62347ce82e5e25de822ef97bc324ce1464d65fbc67132073df313426

Observation 6bb8f860-50d7-43b1-80c4-47952cc2023c · outbound

This paper cites an unresolved cited work.

Analytic properties of cross-click operators in passive multi-basis photodetection: monotonicity, exact convergence rates, and dimension reduction for quantum key distribution Unresolved cited work

Reference 22

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:7836319647bcebd4c6a9680925331164140497c040a6ec2788d8a7fa4db2c4bd

Observation a0b81870-3d7f-4643-a68c-b06cd51412fa · outbound

This paper cites Tsurumaru and K.

Analytic properties of cross-click operators in passive multi-basis photodetection: monotonicity, exact convergence rates, and dimension reduction for quantum key distribution Tsurumaru and K

Reference 23

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Reference 24

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:59042fbd7bb78185377f77aba20afc8eccb2ecd6e5e08382b20694fe9685c022

Reference 25

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:a767424695060ea30d581ce6939f443fe740fcb32b369e322b636491ffdfc645

Reference 26

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:82b4eaf99ae434e3ca0d9883de525eee84adcdcfdabe72d1fadde5afdceaedb6

Observation dd36b410-bf70-4293-9068-91c595dc4039 · outbound

This paper cites Ye,Research on Implementable Design and Normal- ized Security Analysis of Quantum Secure Communica- tion Protocols, Ph.D.

Analytic properties of cross-click operators in passive multi-basis photodetection: monotonicity, exact convergence rates, and dimension reduction for quantum key distribution Ye,Research on Implementable Design and Normal- ized Security Analysis of Quantum Secure Communica- tion Protocols, Ph.D

Reference 27

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Observation e352051f-b3b1-46e3-aa33-71a0125826f6 · outbound

This paper cites an unresolved cited work.

Analytic properties of cross-click operators in passive multi-basis photodetection: monotonicity, exact convergence rates, and dimension reduction for quantum key distribution Unresolved cited work

Reference 28

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:e777642fe110cdb804cf2e4ef43451369f3afa59a230e17bfc1772377eb9a0bb

Observation 10b896d0-d101-4944-b1fd-864274fda934 · outbound

This paper cites an unresolved cited work.

Analytic properties of cross-click operators in passive multi-basis photodetection: monotonicity, exact convergence rates, and dimension reduction for quantum key distribution Unresolved cited work

Reference 29

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:3b2359becd1c6b157554156e4a6950ecb88e3b6aab82c4872de961efe73bcb8c

Reference 30

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Reference 31

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:941e9c9c75f3cc0e6dcc24fd6fa4f1db7684b1700bc4cc9cef5b29e0ef14c183

Observation 80cc8115-4357-4c1b-99ed-a57e50e9619c · outbound

This paper cites an unresolved cited work.

Analytic properties of cross-click operators in passive multi-basis photodetection: monotonicity, exact convergence rates, and dimension reduction for quantum key distribution Unresolved cited work

Reference 32

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:aded6b890971bf5080aba86728933c94d6b455ccb779e46ac5786050fa3a8e22

Reference 33

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:66f6c40b7d0135950e7ae8dce243c4ab7bb3cc2b374b2d6bda04a335a014510f

Observation 5eba7b65-1f29-49d5-a9fa-a0ed4d5e8092 · outbound

This paper cites Bruß, Optimal eavesdropping in quantum cryptogra- phy with six states, Phys.

Analytic properties of cross-click operators in passive multi-basis photodetection: monotonicity, exact convergence rates, and dimension reduction for quantum key distribution Bruß, Optimal eavesdropping in quantum cryptogra- phy with six states, Phys

Reference 34

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:9664e73e64cfed3f8688352e11ce1f4558a74da865934dff683aa9e57470d9ab

Observation 1038a640-732f-40f7-9b0c-0873c90d5d17 · outbound

This paper cites Bechmann-Pasquinucci and N.

Analytic properties of cross-click operators in passive multi-basis photodetection: monotonicity, exact convergence rates, and dimension reduction for quantum key distribution Bechmann-Pasquinucci and N

Reference 35

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Reference 36

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Observation 6f0dc56d-9589-45fd-a965-ec1e50c5ee41 · outbound

This paper cites an unresolved cited work.

Analytic properties of cross-click operators in passive multi-basis photodetection: monotonicity, exact convergence rates, and dimension reduction for quantum key distribution Unresolved cited work

Reference 37

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:2426c8208c46a1e6042d2a00dad230c7686b71f9c67613f6b575aa4f39f4aab8

Observation e05b767d-7a30-4082-8fe9-cdd7d128f4ec · outbound

This paper cites an unresolved cited work.

Analytic properties of cross-click operators in passive multi-basis photodetection: monotonicity, exact convergence rates, and dimension reduction for quantum key distribution Unresolved cited work

Reference 38

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:4f4ce0001b7f90c2908ad20de5fe7ae4bbabfcc57d42449f9b0528e9b9247ad5

Reference 39

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:c2ad464555495ca71cb06cd63439bf90fee7ff5ac11838afe11ef03e756576e3

Observation f9cc88f4-b335-48f5-99eb-1bdbfdb1c1d9 · outbound

This paper cites an unresolved cited work.

Analytic properties of cross-click operators in passive multi-basis photodetection: monotonicity, exact convergence rates, and dimension reduction for quantum key distribution Unresolved cited work

Reference 40

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:943e63e62822061e440ce48a169b517e1f52ab994a19122c02008d5fb78db90c

Observation 3f0fd8c9-4545-4424-bd15-2dc06fc33259 · outbound

This paper cites an unresolved cited work.

Analytic properties of cross-click operators in passive multi-basis photodetection: monotonicity, exact convergence rates, and dimension reduction for quantum key distribution Unresolved cited work

Reference 41

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source=pdf_text observed=2026-07-11T21:06:35.789638Z digest=sha256:ffaa4071ec42b7bfc6e51e93230b5b787a01c479e8382132e52d457598455d7d

Pith citing papers

Reference 44

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source=pdf_text observed=2026-07-14T10:09:54.876436Z digest=sha256:0d0c64bd41c8a81e8b35fc4897b05a788618199bee69551da253bcb4b65b1e85