Paper Citation Record · LEDGER

R\'{e}nyi and Shannon mutual information in critical and decohered critical system

As of 19 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 1 inbound Pith citation observation for arXiv:2506.18475.

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

pith.paper-citation-record.v1
2506.18475 v1

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:52:52.277466Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:07:04.213647Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T17:07:04.857242Z

Reference resolution

42 of 42 outbound references displayed

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verified fuzzy9
unresolved33
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External citation measurements

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Outbound references

Observation f5f5ac45-1408-412d-b9c1-e38ab4a0e242 · outbound

This paper cites Quantum Information Meets Quantum Matter -- From Quantum Entanglement to Topological Phase in Many-Body Systems.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system Quantum Information Meets Quantum Matter -- From Quantum Entanglement to Topological Phase in Many-Body Systems

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T18:52:52.022646Z

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Observation 71e28247-7117-446b-a594-8c168fa9266d · outbound

This paper cites Ryu and Y.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system Ryu and Y

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:52:52.775472Z

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Observation 91949be5-a867-45d6-9884-9ac4e6021cf5 · outbound

This paper cites an unresolved cited work.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system Unresolved cited work

Reference 3

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Observation 31e56039-27bf-4763-9739-c6f3c9f519de · outbound

This paper cites Kitaev and J.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system Kitaev and J

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-15T18:52:52.047421Z

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Observation 1ad1a02f-9b78-4440-af99-00868e35e7c3 · outbound

This paper cites Levin and X.-G.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system Levin and X.-G

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T18:52:52.052844Z

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Observation ecea38d2-7e5f-4af5-9fa5-9aabf6a4ee0e · outbound

This paper cites In this work, we focused on the fermionic CFT.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system In this work, we focused on the fermionic CFT

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:52:52.788378Z

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Observation 953830cc-990d-4fce-b6a8-49bf73331d7a · outbound

This paper cites Di Francesco, P.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system Di Francesco, P

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T18:52:52.057360Z

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Observation c443a28a-0f91-4d15-8c82-0dc7cbad85bf · outbound

This paper cites Calabrese and J.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system Calabrese and J

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-15T18:52:52.063472Z

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Observation 331e1cce-c98d-49dc-ac14-43fa88a55d59 · outbound

This paper cites Calabrese and J.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system Calabrese and J

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:52:52.715685Z

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Observation 13c08f29-49de-4986-a99e-08f37bea6346 · outbound

This paper cites Calabrese, J.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system Calabrese, J

Reference 10

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Observation 1413261f-1fca-4bb9-be4d-afa894aacdd1 · outbound

This paper cites Vidal, J.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system Vidal, J

Reference 11

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Observation c4ad143e-91ea-4a35-bb6c-2aa5530e7c69 · outbound

This paper cites Laflorencie, E.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system Laflorencie, E

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:52:52.674467Z

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Observation 20ebb1b9-d883-4858-93da-16c903fb1bfb · outbound

This paper cites Tagliacozzo, T.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system Tagliacozzo, T

Reference 13

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Observation 780e4cb4-6fd0-4664-b9a4-b6a205b2247d · outbound

This paper cites Evenbly and G.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system Evenbly and G

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:52:52.654015Z

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Observation cca58ce1-e6b7-4d08-99b7-e72c80f71605 · outbound

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R\'{e}nyi and Shannon mutual information in critical and decohered critical system Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:52:52.639522Z

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Observation b8947bcc-f832-4f32-ac98-bf2156a83cf2 · outbound

This paper cites an unresolved cited work.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system Unresolved cited work

Reference 16

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Observation 847a7af6-35a9-4d55-882e-489f56fdea32 · outbound

This paper cites an unresolved cited work.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system Unresolved cited work

Reference 17

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Observation fe856ba4-4166-4dd9-9c51-5330d2f63fc5 · outbound

This paper cites an unresolved cited work.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:52:52.610714Z

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Observation 26bf4c70-a2b2-4bae-9a1a-31f81fa72735 · outbound

This paper cites St ´ephan, Shannon and r´enyi mutual information in quan- tum critical spin chains, Phys.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system St ´ephan, Shannon and r´enyi mutual information in quan- tum critical spin chains, Phys

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T18:52:52.118983Z

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Observation 86845e1b-691f-4552-b60a-bab970276a57 · outbound

This paper cites an unresolved cited work.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:52:52.590708Z

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Observation 44187561-38bd-44ed-917f-e4b61cad986e · outbound

This paper cites St ´ephan, G.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system St ´ephan, G

Reference 21

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Observation 001ac3c2-60a1-49a5-aeef-e97a821190dd · outbound

This paper cites St ´ephan, S.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system St ´ephan, S

Reference 22

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Observation 32e8f741-e9c8-44b0-a166-a13cfa983a65 · outbound

This paper cites an unresolved cited work.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system Unresolved cited work

Reference 23

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Observation d5ef7599-02ab-4539-9c98-47d81818a8a6 · outbound

This paper cites an unresolved cited work.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-15T18:52:52.146907Z

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Observation afdfa5f1-d9f2-4ec2-8cc9-924a5e525eee · outbound

This paper cites Ashida, S.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system Ashida, S

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-15T18:52:52.152233Z

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Observation beb8f2c9-7ff1-446b-90a4-9f77217a30fd · outbound

This paper cites Hauschild and F.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system Hauschild and F

Reference 27

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Observation 84d95eef-3c6b-4e95-a30c-a9ee4f5de1e0 · outbound

This paper cites Tensor Network Python (TeNPy) version 1.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system Tensor Network Python (TeNPy) version 1

Reference 28

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Observation 2c9fedb6-58ee-4742-a1ee-7b70294ead65 · outbound

This paper cites Giamarchi, Quantum Physics in One Dimension (Oxford University Press, 2003).

R\'{e}nyi and Shannon mutual information in critical and decohered critical system Giamarchi, Quantum Physics in One Dimension (Oxford University Press, 2003)

Reference 29

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Observation 68cbc75e-c0fc-4784-96f7-6a751a3300b7 · outbound

This paper cites St ´ephan, G.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system St ´ephan, G

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:52:52.519024Z

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Observation 01d5ff04-f65a-4048-8ba9-70174a659228 · outbound

This paper cites Lecture Notes on the Theory of Open Quantum Systems.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system Lecture Notes on the Theory of Open Quantum Systems

Reference 31

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Observation b2d2ae26-080e-4ac5-b890-3bbd404dc63a · outbound

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R\'{e}nyi and Shannon mutual information in critical and decohered critical system Unresolved cited work

Reference 32

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Observation 84c08c64-ae24-4b6a-9140-923bfe09b254 · outbound

This paper cites Choi, Completely positive linear maps on complex ma- trices, Lin.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system Choi, Completely positive linear maps on complex ma- trices, Lin

Reference 33

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Observation f3887722-1347-48f3-b8f5-85301db3b1b9 · outbound

This paper cites Jamiołkowski, Linear transformations which preserve trace and positive semidefiniteness of operators, Rep.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system Jamiołkowski, Linear transformations which preserve trace and positive semidefiniteness of operators, Rep

Reference 34

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Observation 9f2c3ba5-52ca-44f7-bdfe-d08b3166285b · outbound

This paper cites R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-15T18:52:52.228456Z

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Observation a88580f4-5f84-4198-8edb-4e4e22f93e27 · outbound

This paper cites Universal Properties of Critical Mixed States from Measurement and Feedback.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system Universal Properties of Critical Mixed States from Measurement and Feedback

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-15T18:52:52.233216Z

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Observation c74dcd4f-6e0c-4517-96d0-faaece94b597 · outbound

This paper cites an unresolved cited work.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system Unresolved cited work

Reference 37

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Observation a2d00c61-638c-4fa4-95ae-f4dd81908fc5 · outbound

This paper cites Symmetry Protected Topological Phases of Mixed States in the Doubled Space.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system Symmetry Protected Topological Phases of Mixed States in the Doubled Space

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-15T18:52:52.244155Z

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Observation 85f5e400-97da-46c2-8fa4-36e296d4afaa · outbound

This paper cites Orito, Y.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system Orito, Y

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-15T18:52:52.252216Z

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Observation cc174622-636f-49f9-824e-f91f00e6325e · outbound

This paper cites System-environmental entanglement in critical spin systems under $ZZ$-decoherence and its relation to strong and weak symmetries.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system System-environmental entanglement in critical spin systems under $ZZ$-decoherence and its relation to strong and weak symmetries

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-15T18:52:52.258257Z

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Observation 21abeffb-09a9-4161-85cd-48d9af268c44 · outbound

This paper cites an unresolved cited work.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-15T18:52:52.266128Z

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Observation ce941015-6bb5-4605-9d6d-37c7bd4b8d82 · outbound

This paper cites St ´ephan, Emptiness formation probability, toeplitz deter- minants, and conformal field theory, Journal of Statistical Me- chanics: Theory and Experiment 2014, P05010 (2014).

R\'{e}nyi and Shannon mutual information in critical and decohered critical system St ´ephan, Emptiness formation probability, toeplitz deter- minants, and conformal field theory, Journal of Statistical Me- chanics: Theory and Experiment 2014, P05010 (2014)

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:52:52.458515Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6feab8d6-4a2a-458f-9301-3b95ec2f5f71 · outbound

This paper cites an unresolved cited work.

R\'{e}nyi and Shannon mutual information in critical and decohered critical system Unresolved cited work

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-15T18:52:52.277466Z

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Pith citing papers

Observation 2e1fc466-52f6-498e-b9f1-bf7a3652a451 · inbound

Succession of Ising criticality and its threshold in critical quantum Ising model subject to symmetric decoherence cites this paper.

Succession of Ising criticality and its threshold in critical quantum Ising model subject to symmetric decoherence R\'{e}nyi and Shannon mutual information in critical and decohered critical system

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:07:04.868872Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.