Pith. sign in

Paper Citation Record · LEDGER

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

As of 16 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 3 inbound Pith citation observations for arXiv:2505.02125.

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

pith.paper-citation-record.v1
2505.02125 v1

Coverage vector

measured 57 of 57 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T01:10:23.967947Z

measured 60 of 60 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:52:52.228456Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-25T07:50:28.831913Z

Reference resolution

57 of 57 outbound references displayed

  • verified exact0
  • verified fuzzy4
  • unresolved53
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8317e498-dcd3-48cf-b57e-dabef6930a8c · outbound

This paper cites Thus, as discussed in Sec.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Thus, as discussed in Sec

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:10:24.754244Z

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=2026-08-16T01:10:23.750995Z digest=sha256:7dacc87404af922484276df46db0965a4706cc4521a6c45af578db4b8c4807f5

Observation a2f09d57-4298-4572-873e-086ae14ca129 · outbound

This paper cites an unresolved cited work.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.756453Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.756453Z digest=sha256:e31be140647e3a8957cee7221b090711048b433a042c043bad608331b8090f65

Observation a4b37d02-7923-4304-86a1-79b562aae7f1 · outbound

This paper cites an unresolved cited work.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.760983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.760983Z digest=sha256:8c64587a0322fe24801d10a99ca3056bf196dd6661a722d19ee31be937e2a20a

Observation 396d7a9a-65d9-4e7f-86e1-efe49d0d502f · outbound

This paper cites Dennis, A.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Dennis, A

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.765137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.765137Z digest=sha256:b9e894643cc0b96edceae8b8b1ef46c5aab2214e590c6a5fe1909043e339ad16

Observation 8bb1681b-a03e-4244-bb63-3c2d06ad2c32 · outbound

This paper cites an unresolved cited work.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.769210Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.769210Z digest=sha256:01d13c903eef37e0982ac39c167698c1d7d98dc841321e43e028134d5a5c3104

Observation 0061a09b-a80c-4341-a5b8-de1b924acc64 · outbound

This paper cites an unresolved cited work.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.772970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.772970Z digest=sha256:299e8dc4e1f4973938b99a983a1e8716d34bf5046c7ba2a771b5509d820c2b3b

Observation 8bd7ccc5-d04d-4eea-9629-a12fa41047c1 · outbound

This paper cites Ebadi, T.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Ebadi, T

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.777382Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.777382Z digest=sha256:510c3a9451fc2e7cb612fa837139b89f0b0e97bb5a9e6b899be20d6c15256fa5

Observation db6055aa-cb30-46fc-88ad-45b4e36deedd · outbound

This paper cites Bluvstein, S.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Bluvstein, S

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.781465Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.781465Z digest=sha256:0e9808a71ac846c81a5be4eddf8362d89a339babff1ddc471af9beee3f60491e

Observation 8c5ffca6-d515-4b75-9fcd-594fdfad228d · outbound

This paper cites Bharti, A.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Bharti, A

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.785693Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.785693Z digest=sha256:e32d7db33d5bbc3cfaf6f45d3512f5ec038299a69ac36d67e7e47821923fe419

Observation cfb465c0-ba46-4026-ad26-77f1aea5923f · outbound

This paper cites Preskill, Quantum computing in the nisq era and beyond, Quantum 2, 79 (2018).

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Preskill, Quantum computing in the nisq era and beyond, Quantum 2, 79 (2018)

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.789982Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.789982Z digest=sha256:2c5319ecc6cde7e379783d106f6b51e6a7ab1dae7a3d615b765f00cf929d4fd4

Observation 79da2d2e-c99c-4857-bfe4-7d1ef6098bd2 · outbound

This paper cites Bu ˇca and T.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Bu ˇca and T

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.793676Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.793676Z digest=sha256:d04cebb282bcb2c32040cca4bbff1781c6e1f96727902ee50dbd7eb1ba4c788f

Observation 95731d1c-7a57-4838-829b-35a1ef065cb5 · outbound

This paper cites de Groot, A.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions de Groot, A

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.797499Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.797499Z digest=sha256:5e78358775f2898ece9e3d85795d83530a435dc5342aa8ce393dbcb70acd72be

Observation da929132-1363-44ff-a4d9-d4ad26a8d8c1 · outbound

This paper cites Ma and C.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Ma and C

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.801025Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.801025Z digest=sha256:f7222f4be7925a0532f21b88eb1b2d729e05d8b09fa2784a90269e3f4fc9ced0

Observation 4ee5725c-d18f-4682-aeff-f248cfa98673 · outbound

This paper cites Topological Phases with Average Symmetries: the Decohered, the Disordered, and the Intrinsic.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Topological Phases with Average Symmetries: the Decohered, the Disordered, and the Intrinsic

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.804573Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.804573Z digest=sha256:ec82b94791a3530201ed0ccb1dbe90d89d2bbb8e78248bec75a41ebbba04ff36

Observation 0eb9839f-9172-4405-ba9a-8e5b01d40543 · outbound

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

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Symmetry Protected Topological Phases of Mixed States in the Doubled Space

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.809116Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.809116Z digest=sha256:3c13be6af6f182138470ba69299a26b5a0776eeecb9576a17c5f8b9dfe664bbb

Observation 39e09319-1749-4b5a-b759-0fd1cca0a861 · outbound

This paper cites an unresolved cited work.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.813013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.813013Z digest=sha256:851eba0c1d1bc20e5a290665ae2ddde8df94bc737ae9b38849ac0d486e9c46b3

Observation 516a3921-4d0f-461c-ae04-cb6e049402e9 · outbound

This paper cites an unresolved cited work.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.817090Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.817090Z digest=sha256:32af571044ce1bd3be88b1f629013b32ba60cc521ce6afc4ce76620cbf984dae

Observation 5fe33f51-088a-4cc2-a724-eb3c4fa6e811 · outbound

This paper cites Diagnosing Strong-to-Weak Symmetry Breaking via Wightman Correlators.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Diagnosing Strong-to-Weak Symmetry Breaking via Wightman Correlators

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.820864Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.820864Z digest=sha256:4f1e4671c991d272e355f524aae41648d0e5c49d5233ecf43ec8710d89de2b3b

Observation ca2a290a-de6d-414a-a9dd-64bb31f8a598 · outbound

This paper cites Strong-to-weak spontaneous symmetry breaking meets average symmetry-protected topological order.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Strong-to-weak spontaneous symmetry breaking meets average symmetry-protected topological order

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.824792Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.824792Z digest=sha256:17d028d11d90adaf35feb4c8308a6af37ad1c7f5093e79fdf32e8dbe30bd32d0

Observation e54accea-3229-40b2-afed-c78edb1c9335 · outbound

This paper cites an unresolved cited work.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Unresolved cited work

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.828930Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.828930Z digest=sha256:c2fdc995f56499f04a86e344c31725f5115ef53d54dbe7355e579d1b6003120d

Observation 547a9a35-81a2-480c-881b-1f7d02b05b20 · outbound

This paper cites Efficient Detection of Strong-To-Weak Spontaneous Symmetry Breaking via the R\'enyi-1 Correlator.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Efficient Detection of Strong-To-Weak Spontaneous Symmetry Breaking via the R\'enyi-1 Correlator

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.833311Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.833311Z digest=sha256:e81d1f003fd9c61dedf1c3767b3f28927802233533ba28081c403173d3840af9

Observation cd860556-91cf-4c67-a10f-2b4344cd9344 · outbound

This paper cites an unresolved cited work.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Unresolved cited work

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.838282Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.838282Z digest=sha256:abbe2b3d2c095b569e21b44811e4cfa3ed5c94fe57ddc7e52c515f66f212adbc

Observation 0ece46dd-f277-4f63-8744-b6b31dc66060 · outbound

This paper cites Orito, Y.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Orito, Y

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.842702Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.842702Z digest=sha256:0b908d9faf80dbc76a8615ef00b735dee015a266f9da24fe434addf9a2cf255c

Observation b041635f-8837-460e-b354-cce76a0c0249 · 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 Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions System-environmental entanglement in critical spin systems under $ZZ$-decoherence and its relation to strong and weak symmetries

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.846402Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.846402Z digest=sha256:85ef3a65b786fa574d0ac8f1ff6a91924ae15099f2645907057171a989aa5068

Observation cc92dc72-08d0-4fac-9006-5500f13340f3 · outbound

This paper cites an unresolved cited work.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Unresolved cited work

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.850353Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.850353Z digest=sha256:d9560a9893422b5f78f61d8ed5688af5aec22c17cce6ed5aa3cbeaba5da85353

Observation 4164d6f1-df22-4fad-9537-4de42e1315af · outbound

This paper cites an unresolved cited work.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Unresolved cited work

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.854536Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.854536Z digest=sha256:7b8c415a89b585b8732fd8cae3b7e9b999117b091e987540a1251595756a8ceb

Observation abba03c3-452f-49a6-bf0f-a5f0be568be2 · outbound

This paper cites an unresolved cited work.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Unresolved cited work

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.858587Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.858587Z digest=sha256:a4af60ec85865051a229f4a9c38b075139d4db9bca557e97ed109d4a5695c849

Observation c9500144-a2b2-44dd-a855-fdc6487410bb · outbound

This paper cites an unresolved cited work.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:10:24.613265Z

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=2026-08-16T01:10:23.863241Z digest=sha256:8d84a4a00bdf69e2a83c8f6d76be310b73f2b397cf91c02ca8c1f3ad94a7ec62

Observation 05c937ed-10bf-4a3b-b612-81df1dc3e8b7 · outbound

This paper cites an unresolved cited work.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Unresolved cited work

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.866783Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.866783Z digest=sha256:e805423f8802394a291d0852e5ab603de4c6512a9aaccd26522f8bf1ea2c3076

Observation f7b72907-43ab-4905-a553-8b5da85b4a25 · outbound

This paper cites Chen and T.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Chen and T

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.870371Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.870371Z digest=sha256:9ae1992f91adda54a0e845f8528b720a194328e3f7ab77487e6a63c599a8b608

Observation 7b1cbd0b-8f7d-4cc4-89c7-5850a8090f98 · outbound

This paper cites Sohal and A.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Sohal and A

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.873756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.873756Z digest=sha256:300016b431e081e8b4922ae9cab1df566d9c70d48aa38901ab09d25c483a0f3c

Observation a8c12db7-3405-465f-8e55-e7acda08aecf · outbound

This paper cites Zhang, Y.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Zhang, Y

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.877142Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.877142Z digest=sha256:fd71681366118f4f4a079aaa57cd13238a9e788106c9cef2bc3ec4b3f9625ef8

Observation ae0b3c04-1b45-45ef-a065-e545be1084c4 · outbound

This paper cites an unresolved cited work.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Unresolved cited work

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.880598Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.880598Z digest=sha256:a115955a90db2da64c27b8b372cd195d5208574a70f9a32cd6cb7426857c15bf

Observation 279e6526-101a-4017-93ca-df30feffb2ee · outbound

This paper cites Sang and T.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Sang and T

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.884053Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.884053Z digest=sha256:2352faa9075f86678fb2d89d7c6fefa8d1d6414ac9a30df8fc6837e76b8cf83d

Observation daf6e4c8-885b-48cc-a201-a0b900a91bf0 · outbound

This paper cites Petz, Sufficiency of channels over von neumann algebras, The Quarterly Journal of Mathematics 39, 97 (1988).

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Petz, Sufficiency of channels over von neumann algebras, The Quarterly Journal of Mathematics 39, 97 (1988)

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:10:24.564909Z

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=2026-08-16T01:10:23.887421Z digest=sha256:da7bbdd93b69e436b03f972f5ff5b00eddcc373b09e37413004ae7292c288801

Observation b58d10f6-c754-4dda-bc99-8a621bc37647 · outbound

This paper cites Junge, R.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Junge, R

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:10:24.552004Z

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=2026-08-16T01:10:23.891068Z digest=sha256:15af6f7f1d234d6f1ad54079ca45d427e1a114f8ab354f04f4f4314d2e9687e8

Observation f839dd5e-e49b-4f42-bb87-a0387483f513 · outbound

This paper cites Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.894616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.894616Z digest=sha256:35552e396161e4c3543407357fdeb8ebd6df774d58277f06a2166ada5fb6de80

Observation 85228ac3-ef98-43fb-b624-f158cabdfbc2 · outbound

This paper cites Hauschild and F.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Hauschild and F

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.898020Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.898020Z digest=sha256:a667e5b8fff517f131180fdb6329b32bad719a1267fb1ab28829f2d9bb17b5d4

Observation 5305f0ae-ecfc-484e-bbde-d8bbf37d28cd · outbound

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

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Tensor Network Python (TeNPy) version 1

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.901202Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.901202Z digest=sha256:70e07d987b5c1e2431ffb5dbdd8025a89670ea8481787ec31296f5ff7187b67a

Observation a8a08c91-abc8-4944-93c0-40a63744813b · outbound

This paper cites an unresolved cited work.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Unresolved cited work

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.904615Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.904615Z digest=sha256:485c5d7377c00e81c910aa6809d0b047e202c5b267dca6c8a27bc2ad62995f6b

Observation 6e199050-3ef8-4656-b697-f4dd69547573 · outbound

This paper cites Zabalo, M.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Zabalo, M

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.907997Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.907997Z digest=sha256:826f09bb6092467bc4b2b894142433ababf55549b3d642dc324d67266e77aa97

Observation 64d68765-9373-4ebf-aa6f-7d2144091cd0 · outbound

This paper cites Micallo, V.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Micallo, V

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.911677Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.911677Z digest=sha256:66c41d765dac618b15165376362a1ba2a1a126a3ba80639c99c4df48b815af92

Observation a2ab2eb7-0f50-4835-8923-da0e9183a442 · outbound

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

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Choi, Completely positive linear maps on complex ma- trices, Lin

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.915506Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.915506Z digest=sha256:fd58ea91a1f1391979d9fe72720d326987f5de0ab7b4c8d163b7a1517c85b422

Observation fe93ceac-9b66-4b11-971f-406293d2046a · outbound

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

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Jamiołkowski, Linear transformations which preserve trace and positive semidefiniteness of operators, Rep

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.919766Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.919766Z digest=sha256:4c7c759a701fa543b9c6136ea6f372d04fd99193748260fa918d67f2610ae7ec

Observation 0e6d41ad-8371-4471-8e31-081358f0a756 · outbound

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

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Universal Properties of Critical Mixed States from Measurement and Feedback

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.923117Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.923117Z digest=sha256:0d4ece83e21f90e80836c7a82ae8ea0b23d65ba103324a034cb1be90dd2aae02

Observation 7a2fd220-4e3b-4b16-a2a1-fbd47e5eb9eb · outbound

This paper cites an unresolved cited work.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Unresolved cited work

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.926746Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.926746Z digest=sha256:c8a96f916f32a44b0955db2a4cff341698b15f04c219483fb11d0abe29ccf3c3

Observation e1c1f2bd-c919-4bbe-a071-d16e730c72ee · outbound

This paper cites Raussendorf and H.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Raussendorf and H

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.930113Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.930113Z digest=sha256:bcd8490aabdc24169d2ca970005227b17c152fed37bf3aa8acf49b1191a77ef2

Observation 826f84e9-02ac-4433-aa27-d98bd7e3443f · outbound

This paper cites an unresolved cited work.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:10:24.485675Z

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=2026-08-16T01:10:23.933387Z digest=sha256:19957cd4a6923f717e8c14b839c950cb37fa7e03a4f06305581aceac69679baa

Observation b29ea184-0b5e-47d6-958e-d5036897d052 · outbound

This paper cites an unresolved cited work.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:10:24.472616Z

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=2026-08-16T01:10:23.937074Z digest=sha256:ad4f640f144653c2a337dde4a73c6dec294988691e8d6659d62e86289ed2ba78

Observation a2cb1afb-1259-4400-80d6-2048bde80a7d · outbound

This paper cites an unresolved cited work.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:10:24.457638Z

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=2026-08-16T01:10:23.940527Z digest=sha256:ff6914671cf0e0ec79a807ad7609add8465c8097d59dc0a34173d6685d5b2bf6

Observation 458379ad-ea08-42be-9ce4-da10d78c0ced · outbound

This paper cites an unresolved cited work.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Unresolved cited work

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.944428Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.944428Z digest=sha256:30be9ab735e460fc4af1b5786a6e948fde98bb8032d2a27e1362aa9c78192d33

Observation b49ca052-97cd-4d84-9db3-ee51c23b76ca · outbound

This paper cites an unresolved cited work.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-16T01:10:24.438809Z

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=2026-08-16T01:10:23.948520Z digest=sha256:01f913d0471d852ae28c2a7f71591812223b8bf964a8ae9ceef049b1b013e613

Observation 187f232f-67c3-41a2-90e6-ffd0117c09e3 · outbound

This paper cites an unresolved cited work.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Unresolved cited work

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.952491Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.952491Z digest=sha256:0f2fc821f9e00d0554d829be7e025aeebecbbfbb4007a13dd9098579d378bf66

Observation 30ba0e21-57d5-484d-b80e-b76a08170f3e · outbound

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

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Lecture Notes on the Theory of Open Quantum Systems

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.956160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.956160Z digest=sha256:d4f1974c0b72e5730a84bfbb0650d359b747c3b34218a717485368449b8a63f4

Observation e0146948-983e-4978-b946-80c6af5727f1 · outbound

This paper cites Ashida, S.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Ashida, S

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.960106Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.960106Z digest=sha256:39532a422afbc4eb490bd141a714bba5f3029616618ca38affb46847470ef84f

Observation 895df6f7-3c1f-4e62-9bf0-57d6e3806f0f · outbound

This paper cites Weinstein, Y.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Weinstein, Y

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T01:10:24.412157Z

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=2026-08-16T01:10:23.963603Z digest=sha256:384c2095c85875b6fea11155b7b9fefc8878b801b5100688b170a2674ffd4754

Observation e1d017e5-f817-4591-917c-91a9251ca042 · outbound

This paper cites Entanglement negativity at the critical point of measurement-driven transition.

R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Entanglement negativity at the critical point of measurement-driven transition

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-16T01:10:23.967947Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T01:10:23.967947Z digest=sha256:6866e0d3cd1e406453378c637f64a0dfc55246a2e9284ec901181992407c181e

Pith citing papers

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

R\'{e}nyi and Shannon mutual information in critical and decohered critical system cites this paper.

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:52:52.228456Z digest=sha256:f543cc75380acb28d671531273e5f121c8d70414625c0a9cdd569a02ba66bb0d

Observation ecab2227-b7cf-4d29-b386-09c5d500d511 · 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 Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-15T17:07:04.534171Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:07:04.534171Z digest=sha256:0d31bd07be13422e2e43c718c9e0455f2446650be1410fd30e4ff21a6df58bf9

Observation 7963df86-75ba-4061-835e-379d27734e33 · inbound

Krylov Complexity and Mixed-State Phase Transition cites this paper.

Krylov Complexity and Mixed-State Phase Transition R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions

Reference 70

Resolution
verified exact
arxiv_id, observed 2026-05-25T07:50:28.835245Z

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=2026-05-25T07:50:05.277937Z digest=sha256:de27a961d9ccc9ff69e888f094f9ebc156045606190bc65f30c6bf586a6346f7