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Paper Citation Record · LEDGER

Multi-State Geometry of Density Matrices and Rectification Sum Rules

As of 9 August 2026, this Paper Citation Record lists 89 of 89 outbound references and 0 inbound Pith citation observations for arXiv:2608.06326.

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

pith.paper-citation-record.v1
2608.06326 v1

Coverage vector

measured 89 of 89 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-07T05:25:45.902529Z

measured 89 of 89 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

89 of 89 outbound references displayed

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  • verified fuzzy22
  • unresolved64
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External citation measurements

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Outbound references

Observation 6cfc822f-0d0e-450c-822b-1eefc8edf883 · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 1

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Observation 864fd1bb-097c-456a-b0ee-e7f163ca4796 · outbound

This paper cites Inspired by our separation ofC σ into unper- turbed, positive, and negative frequency components in Eq.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Inspired by our separation ofC σ into unper- turbed, positive, and negative frequency components in Eq

Reference 2

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Observation 5ad9eaad-e6d3-4ab2-aa08-b0e30e06dc2f · outbound

This paper cites (B20) hints at the existence of a simpler spectral density repre- sentation.

Multi-State Geometry of Density Matrices and Rectification Sum Rules (B20) hints at the existence of a simpler spectral density repre- sentation

Reference 3

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Observation 829ceddf-5804-4d40-8a9a-e2891fe59998 · outbound

This paper cites (B26) is given by a sum of delta functions, it satisfies a general sum rule 1 π Z ∞ 0 dϖ ρσ;νλ K (ϖ) = 1 π X ωac>0 wσ;νλ ac = X ωac>0 (pa −p c) [Bν, Bσ,d]ac (Bλ)ca.

Multi-State Geometry of Density Matrices and Rectification Sum Rules (B26) is given by a sum of delta functions, it satisfies a general sum rule 1 π Z ∞ 0 dϖ ρσ;νλ K (ϖ) = 1 π X ωac>0 wσ;νλ ac = X ωac>0 (pa −p c) [Bν, Bσ,d]ac (Bλ)ca

Reference 4

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Observation 0e8334da-5f48-4f79-9d4b-31abb1e38fcc · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 5

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Observation 4db60fcc-2f6a-424c-9695-a95aa57c3a5c · outbound

This paper cites To do so, we make use of Eq.

Multi-State Geometry of Density Matrices and Rectification Sum Rules To do so, we make use of Eq

Reference 6

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Observation 37814d0d-9250-4cbc-9c97-5d2b61c87145 · outbound

This paper cites (117) for the single- particle matrix elements of the position operator in or- der to derive Eq.

Multi-State Geometry of Density Matrices and Rectification Sum Rules (117) for the single- particle matrix elements of the position operator in or- der to derive Eq

Reference 7

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Observation 936fa67e-42d0-4054-8d6a-dc3b96cc9c23 · outbound

This paper cites (126) at zero temperature.

Multi-State Geometry of Density Matrices and Rectification Sum Rules (126) at zero temperature

Reference 8

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Observation 5c6a3264-699f-4f92-91bf-6c8cacefab4a · outbound

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Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 9

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Observation ffc36dbd-5233-4b89-bfb3-b35205c286d0 · outbound

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Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 10

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Observation 6d62be0a-bbfd-4f35-8935-648e85cbca5f · outbound

This paper cites Resta, Macroscopic polarization in crystalline di- electrics: The geometric phase approach, Reviews of Modern Physics66, 899 (1994).

Multi-State Geometry of Density Matrices and Rectification Sum Rules Resta, Macroscopic polarization in crystalline di- electrics: The geometric phase approach, Reviews of Modern Physics66, 899 (1994)

Reference 11

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Observation b7e93894-e972-4017-bc0f-98cd92a2d326 · outbound

This paper cites Marzari and D.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Marzari and D

Reference 12

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Observation 84eef679-347e-4d72-a825-59cd4646626b · outbound

This paper cites Souza, T.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Souza, T

Reference 13

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Observation 0120320b-2562-4aba-a690-faae40db6a35 · outbound

This paper cites Onishi and L.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Onishi and L

Reference 14

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Observation f1e34ae6-d071-406c-959f-aaaa90676cc4 · outbound

This paper cites Verma and R.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Verma and R

Reference 15

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Observation 09cfb696-4304-4451-b314-fb62e67ea0fd · outbound

This paper cites Ba lut, B.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Ba lut, B

Reference 16

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Observation eae7ee4b-c0a9-40bd-993e-17e7d1e8bd11 · outbound

This paper cites Ba lut, B.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Ba lut, B

Reference 17

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Observation 7e80a8d9-9702-4a76-9003-beebbc31d14a · outbound

This paper cites Density Matrix Geometry and Sum Rules.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Density Matrix Geometry and Sum Rules

Reference 18

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Observation 2bbaa0f8-8ba1-45cf-a420-00ed400d664a · outbound

This paper cites Chowdhury, Information, dissipation, and planck- ian optimality, arXiv preprint arXiv:2602.04953 (2026), arXiv:2602.04953.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Chowdhury, Information, dissipation, and planck- ian optimality, arXiv preprint arXiv:2602.04953 (2026), arXiv:2602.04953

Reference 19

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Observation d31884ae-e7d9-44a3-8457-a2bc1ddd57a1 · outbound

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Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 20

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Observation 88290c99-99df-4cd6-8beb-dae556e922ae · outbound

This paper cites Mendez-Valderrama, D.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Mendez-Valderrama, D

Reference 21

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Observation c078fe77-6820-4824-9d6e-1f2fd7eb6aee · outbound

This paper cites Peotta and P.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Peotta and P

Reference 22

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Observation c8601067-1d00-49a2-995e-15b01984f3b9 · outbound

This paper cites Liang, T.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Liang, T

Reference 23

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Observation 5db86d4c-240c-4ee2-9b3c-66ea835b1ad1 · outbound

This paper cites T¨ orm¨ a, S.

Multi-State Geometry of Density Matrices and Rectification Sum Rules T¨ orm¨ a, S

Reference 24

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Observation 78c097e9-b96a-4b63-9afc-af4a7adec282 · outbound

This paper cites Herzog-Arbeitman, V.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Herzog-Arbeitman, V

Reference 25

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Observation 04468bf9-8628-4055-af41-c8e7accdbd9d · outbound

This paper cites Huhtinen, J.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Huhtinen, J

Reference 26

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Observation c25f8cf2-371b-41be-9fea-16de275289e6 · outbound

This paper cites Roy, Band geometry of fractional topological insula- tors, Physical Review B90, 165139 (2014).

Multi-State Geometry of Density Matrices and Rectification Sum Rules Roy, Band geometry of fractional topological insula- tors, Physical Review B90, 165139 (2014)

Reference 27

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Observation 04337bfd-1e94-4e7b-af88-e1a437f5a382 · outbound

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Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

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Observation 1e13592f-2013-4dea-98ea-863b095b6616 · outbound

This paper cites Neupert, C.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Neupert, C

Reference 29

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Observation 2945d9b1-2d39-4f2f-a506-b43f5a0bede7 · outbound

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Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 30

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Observation bea9c489-abe0-4e62-8b9d-0b69dc59ac10 · outbound

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Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

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Observation 1fc15176-fbe8-4a9d-80bf-7832b9c470ab · outbound

This paper cites De Juan, A.

Multi-State Geometry of Density Matrices and Rectification Sum Rules De Juan, A

Reference 32

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Observation ff42b301-1819-45d3-b35a-80733d7d240e · outbound

This paper cites Flicker, F.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Flicker, F

Reference 33

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Observation 72c4fcad-a35d-4d84-b08e-8b8d844950fb · outbound

This paper cites Morimoto and N.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Morimoto and N

Reference 34

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Observation f27c9ca6-6b42-4c82-9dfb-0e40702274b9 · outbound

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Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

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Observation e160146a-6152-4f72-a2a1-ec95fa3fda61 · outbound

This paper cites Kaushik and J.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Kaushik and J

Reference 36

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Observation 1bf481a7-ffc1-4856-b0ad-f02b5c627a0a · outbound

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Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 37

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Observation ab4ea716-8a8c-4d12-99f4-6cf7ca19f798 · outbound

This paper cites Chang, S.-Y.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Chang, S.-Y

Reference 38

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Observation 619704e0-497a-43a2-83f8-5bd889d7835d · outbound

This paper cites Ahn, G.-Y.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Ahn, G.-Y

Reference 39

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source=pdf_text observed=2026-08-07T05:25:45.729676Z digest=sha256:a3473b7336e03bbf5a0b41a0b42912387b8d7abebc9dcd14ec2fcf10e649b47b

Observation 9765efef-7161-4cbc-a0a5-90181702172f · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 40

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source=pdf_text observed=2026-08-07T05:25:45.733766Z digest=sha256:cf3fb4a2c115c3fff9a3e81e29d3b6c0167b72a454fa5ad012f951277e9a993e

Observation b7d14b9f-9ad4-4684-9de7-c2aa64218949 · outbound

This paper cites Aversa and J.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Aversa and J

Reference 41

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:25:45.738142Z digest=sha256:893ad988cfde21c76bf881958a326b02500e342b8e5d2c4f0a46bf6aa1bf5af6

Observation 812c627c-37bf-4f44-b3bb-77c613ad21a3 · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 42

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source=pdf_text observed=2026-08-07T05:25:45.741640Z digest=sha256:fc93c9bbd19484628164197ee3d44d8084c685d62e6d1fe825dc36318d3dcb66

Observation 2eb26529-fff1-4b93-ac2d-4e5eac6dedcd · outbound

This paper cites Sodemann and L.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Sodemann and L

Reference 43

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source=pdf_text observed=2026-08-07T05:25:45.745179Z digest=sha256:4cbda4bfa12c82ee37e119dd145c7c47a0672b534f09cac719297520f8a51d33

Observation e4683791-85af-48f5-8296-137633fbfd91 · outbound

This paper cites Matsyshyn and I.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Matsyshyn and I

Reference 44

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source=pdf_text observed=2026-08-07T05:25:45.748624Z digest=sha256:f8405fad9b033ac90b606b7c962b0ce1c31fc5cf294b97cb548f97b568722b2e

Observation b34a3107-ea8c-44f4-9c47-32513df42180 · outbound

This paper cites Morimoto, S.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Morimoto, S

Reference 45

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verified fuzzy
raw_fallback, observed 2026-08-07T05:25:46.608559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:25:45.751732Z digest=sha256:73ccd9103d193991d177ec6c55e613c7feccb6a6d965ee756b00c69834e6911a

Observation f0b0ad99-af7d-40bb-99dd-339158e9071f · outbound

This paper cites Du, H.-Z.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Du, H.-Z

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:25:46.597690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:25:45.755021Z digest=sha256:454b1e51fabc335671caf51d9e79b1a723935ca40d58c5ccc94276412a64821f

Observation 693bcc16-7d0b-4e61-bbd0-1c4397267055 · outbound

This paper cites Ortix, Nonlinear hall effect with time-reversal symme- try: Theory and material realizations, Advanced Quan- tum Technologies4, 2100056 (2021).

Multi-State Geometry of Density Matrices and Rectification Sum Rules Ortix, Nonlinear hall effect with time-reversal symme- try: Theory and material realizations, Advanced Quan- tum Technologies4, 2100056 (2021)

Reference 47

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source=pdf_text observed=2026-08-07T05:25:45.758045Z digest=sha256:a038bb60800dc5c50f16d97f001e5566316e87c01167c49b7d80fb4be0bafcc4

Observation 0bc7d81e-9b75-488b-baf3-2d2ab02063c1 · outbound

This paper cites Nandy and I.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Nandy and I

Reference 48

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verified fuzzy
raw_fallback, observed 2026-08-07T05:25:46.580292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:25:45.761798Z digest=sha256:c8ae66f27d38237bb4856b90236c62446a6ec515bf6261be1b2ec9c7a3f9a253

Observation 9a158176-9953-4e8e-980b-6934e6508d07 · outbound

This paper cites Ahn, G.-Y.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Ahn, G.-Y

Reference 49

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source=pdf_text observed=2026-08-07T05:25:45.764991Z digest=sha256:3ca9ff94376a04487329d142022eea0fadad5df3cb2866fae091fe14db3e961f

Observation 7704a6e2-2ed1-4b09-9b7a-5b1e1fa2ac17 · outbound

This paper cites Quantum geometry beyond projective single bands.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Quantum geometry beyond projective single bands

Reference 50

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-07T05:25:45.768263Z digest=sha256:e75e7e27d7e978677f486bf625224c7e9de6c335ffb976c2a369471d11792730

Observation 31fceff0-c981-4c07-8b3f-2476d6c97a5f · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 51

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no resolver link, observed 2026-08-07T05:25:45.771947Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-07T05:25:45.771947Z digest=sha256:650069383e63847a86651253f59dc9e6e090ef9fc5b84e04276b8413ba38c2d5

Observation dc032f9f-0adc-4dac-8f41-b93595e70828 · outbound

This paper cites Alexandradinata, Quantization of intraband and in- terband Berry phases in the shift current, Physical Re- view B110, 075159 (2024).

Multi-State Geometry of Density Matrices and Rectification Sum Rules Alexandradinata, Quantization of intraband and in- terband Berry phases in the shift current, Physical Re- view B110, 075159 (2024)

Reference 52

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no resolver link, observed 2026-08-07T05:25:45.775597Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:25:45.775597Z digest=sha256:084b498e31db49a1b5fba51ea86d2a3ec35b40ba8767a7c092353c78b40923d7

Observation 85fceae6-842c-43ef-8d97-0550454cc985 · outbound

This paper cites Zhu and A.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Zhu and A

Reference 53

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no resolver link, observed 2026-08-07T05:25:45.778888Z

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source=pdf_text observed=2026-08-07T05:25:45.778888Z digest=sha256:3d73cfab529ca374febb463b5afedcefe721fe8673227d5816f788c659ec387a

Observation a881fb53-9952-4511-a7a8-88f2c37b6d8b · outbound

This paper cites Gauge-invariant projector calculus for quantum state geometry and applications to observables in crystals.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Gauge-invariant projector calculus for quantum state geometry and applications to observables in crystals

Reference 54

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source=pdf_text observed=2026-08-07T05:25:45.782291Z digest=sha256:d61474792230a85d372ce823daaedfd72b310b6d31d11ab90cbe1b261f5b523f

Observation 2697031c-0bc9-40d4-9e41-e72dc97af96a · outbound

This paper cites Avdoshkin and F.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Avdoshkin and F

Reference 55

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:25:45.785927Z digest=sha256:d5b2dda40bf41201e25e3a64d2655f4d2ac3fb09ff54eb38e3f421ce053c5d43

Observation 6f832529-061b-4028-9eed-c6d50484877c · outbound

This paper cites The multi-state geometry of shift current and polarization.

Multi-State Geometry of Density Matrices and Rectification Sum Rules The multi-state geometry of shift current and polarization

Reference 56

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:25:45.789189Z digest=sha256:753e9bc92cb5e009962655a3a9240395212b8995f489222c6204015b5b3e9b71

Observation 64e9dedd-1cd9-4369-a3db-8b93de964faf · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 57

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source=pdf_text observed=2026-08-07T05:25:45.792665Z digest=sha256:0406c0509e861dd177f13f134a2608a9b111ebaa467bc793c3477a26dcdf3cb8

Observation 552e7b3e-6fe7-4356-8aec-dad1b5fd1d1c · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 58

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:25:46.535954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:25:45.796737Z digest=sha256:5f68438495094df620bdaf3f1b84b07fa39e4bae6410c614d664d850c2c2883b

Observation 454d619a-316f-4de7-9133-21242a65b1f2 · outbound

This paper cites Guan and B.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Guan and B

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:25:46.525005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:25:45.799961Z digest=sha256:de45a4e1ad79d75a90ab160188d9ab00364dab74db7f4483a52c22c6967f1422

Observation 0e54b187-4d66-4ae2-b9ec-a582b0ab8ad2 · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 60

Resolution
verified exact
raw_fallback, observed 2026-08-07T05:25:46.043533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:25:45.803386Z digest=sha256:0c26870cb366bce80f614470d948e696b630a256c6832248cee46f51830bb8af

Observation 1b110f3e-1ddf-40a2-9885-e71e01b13887 · outbound

This paper cites Vortex-enhanced photovoltaic current in disordered topological materials.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Vortex-enhanced photovoltaic current in disordered topological materials

Reference 61

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:25:45.958974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:25:45.806736Z digest=sha256:541f25f95983c7edb43ed1d0c8c38bda4756518578aafd8133be1c33b299efd2

Observation e8526639-3faf-43ea-b9ce-7f6d37279519 · outbound

This paper cites Het´ enyi and P.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Het´ enyi and P

Reference 62

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-07T05:25:45.810435Z digest=sha256:84c66d1acd215b46bfe620a4c7f219ea013bbf581231c29bf42fda1d6bf42de1

Observation b258a5e6-16ab-4398-b38e-0de8ccc420f4 · outbound

This paper cites Amari and H.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Amari and H

Reference 63

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:25:45.814495Z digest=sha256:27ac05ca1d708605036b2064f43f038c17fb01136ae1ba0bab09c2ee125a54ec

Observation 9fc242ce-4b8d-4efe-9bb6-0055eb7f4a8e · outbound

This paper cites Hasegawa,α-divergence of the non-commutative in- formation geometry, Reports on Mathematical Physics 33, 87 (1993).

Multi-State Geometry of Density Matrices and Rectification Sum Rules Hasegawa,α-divergence of the non-commutative in- formation geometry, Reports on Mathematical Physics 33, 87 (1993)

Reference 64

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verified fuzzy
raw_fallback, observed 2026-08-07T05:25:46.495781Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:25:45.817672Z digest=sha256:68499cf4722287957e6dc088638fce1ba9f374c0bb2775365a8bc67739a65b4d

Observation f1cf02c1-dfed-4d39-91ab-b1494eb8ae4a · outbound

This paper cites Hasegawa and D.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Hasegawa and D

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:25:46.484850Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-07T05:25:45.821003Z digest=sha256:b1ace419cfd2c212bce6be46a1344e2fbccdaf9c2c41545c7f73e620847d5ea6

Observation dc2878ea-991f-43cb-82dc-1ae693040073 · outbound

This paper cites Nagaoka, Differential geometrical aspects of quantum state estimation and relative entropy, inQuantum Com- munications and Measurement, edited by V.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Nagaoka, Differential geometrical aspects of quantum state estimation and relative entropy, inQuantum Com- munications and Measurement, edited by V

Reference 66

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verified fuzzy
raw_fallback, observed 2026-08-07T05:25:46.474331Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:25:45.825154Z digest=sha256:2908fcb2e3d18b806cc213305886e2a7e4261c329d073b31ca6604ba59800c52

Observation 96a51cf7-ce1d-4e93-86d3-9f1b43701072 · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 67

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unresolved
raw_fallback, observed 2026-08-07T05:25:46.391392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:25:45.859544Z digest=sha256:6608f7ef4437783721ec983441a34301e3e4023182edd4f554ae0c896128ab02

Observation 8ddcc70b-b9db-4be5-bbcb-17f76b35f767 · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 68

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no resolver link, observed 2026-08-07T05:25:45.832445Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:25:45.832445Z digest=sha256:fe1d0c197fa5616c3c38aadbf913826344dfd9025a52d42e7aa4f114ad54bd48

Observation da01c8e5-f12a-4b5e-99c1-7e52fecbb09d · outbound

This paper cites Provost and G.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Provost and G

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:25:46.445571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:25:45.835941Z digest=sha256:520da8f204fd0e58c9fcfb7626da4adf8526a3f2bf3110590c01287069997dda

Observation 98b5d821-7528-4d73-8722-ed0d71a3cdde · outbound

This paper cites Verma, P.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Verma, P

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:25:46.433875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:25:45.839454Z digest=sha256:a08edaddaf44d9107ea09597aad04066518f9caab7abf81b567a455642f1cf02

Observation 28345146-c3eb-435d-a7cc-3e4a73606a7b · outbound

This paper cites Bengtsson and K.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Bengtsson and K

Reference 71

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no resolver link, observed 2026-08-07T05:25:45.842727Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:25:45.842727Z digest=sha256:c984459a60eb8ea7c0dd818e05c716989d1a24a3f9f8069e395ee2d86a83cc42

Observation be365b3f-a44d-432e-9f45-bd2bce14d33b · outbound

This paper cites Uhlmann, The metric of Bures and the geometric phase, Quantum groups and related topics , 267 (1992).

Multi-State Geometry of Density Matrices and Rectification Sum Rules Uhlmann, The metric of Bures and the geometric phase, Quantum groups and related topics , 267 (1992)

Reference 72

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:25:45.845955Z digest=sha256:5a5b10138f4d456ebf8898950ce76efca6c185e5f47bd32debcbe9cb3761e8d2

Observation d3c8c87b-3636-4159-9f61-0519bb639a0d · outbound

This paper cites Uhlmann, Geometric phases and related structures, Reports on Mathematical Physics36, 461 (1995).

Multi-State Geometry of Density Matrices and Rectification Sum Rules Uhlmann, Geometric phases and related structures, Reports on Mathematical Physics36, 461 (1995)

Reference 73

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:25:45.849079Z digest=sha256:a2828fb4ce7f7b4053e99ac6f83895827f7985d72db706fdd3f1154d10af66c0

Observation 7c6bb791-2a92-4a70-b3a3-b317061da61e · outbound

This paper cites Carollo, D.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Carollo, D

Reference 74

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-07T05:25:45.852345Z digest=sha256:5652ee168bf84926eb1fa4290854d1454d48f3c7409e26cc77cb41effc81c4f5

Observation c9c7fe19-2983-4579-8a84-45353ceba8fd · outbound

This paper cites Nakahara,Geometry, topology and physics(CRC press, 2018).

Multi-State Geometry of Density Matrices and Rectification Sum Rules Nakahara,Geometry, topology and physics(CRC press, 2018)

Reference 75

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:25:45.855573Z digest=sha256:4a8bdebfe03a75c79c57180e99d0c58e8cfac88ff0eba278a09877dbbc8902aa

Observation af1848a9-e37e-4339-aafa-bb43d9006b05 · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 76

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:25:46.317197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:25:45.888553Z digest=sha256:fff61f7fb1b0447370a35ff6bcda23dd30fb113fdbee380ba76345d16915c044

Observation 1076fe8d-01f3-4877-968b-6cc6c2cfce6f · outbound

This paper cites Shimada, K.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Shimada, K

Reference 77

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raw_fallback, observed 2026-08-07T05:25:46.381891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 3032433c-239c-46b0-9987-fd94ecb30262 · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 78

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:25:46.372211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 3e079e8c-31fa-40b4-bec2-19b78dd80f94 · outbound

This paper cites Iosifidis and K.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Iosifidis and K

Reference 79

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 0164dbbb-6c07-4389-b10e-6c6238e0c3c7 · outbound

This paper cites Bradlyn and P.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Bradlyn and P

Reference 80

Resolution
unresolved
no resolver link, observed 2026-08-07T05:25:45.872457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 994cb572-30ad-494d-ab33-e776ff65a84f · outbound

This paper cites Resta, Geometrical theory of the shift current in pres- ence of disorder and interaction, Physical Review Letters 133, 206903 (2024).

Multi-State Geometry of Density Matrices and Rectification Sum Rules Resta, Geometrical theory of the shift current in pres- ence of disorder and interaction, Physical Review Letters 133, 206903 (2024)

Reference 81

Resolution
unresolved
no resolver link, observed 2026-08-07T05:25:45.875566Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation c2676c74-5d08-4f0a-8ab9-9b574fc1c515 · outbound

This paper cites von Baltz and W.

Multi-State Geometry of Density Matrices and Rectification Sum Rules von Baltz and W

Reference 82

Resolution
unresolved
no resolver link, observed 2026-08-07T05:25:45.878608Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:25:45.878608Z digest=sha256:fc0cabeefe54e1af39056fdcffc05cd682fec88559b95a8a1a30dd4062962c05

Observation b0b7cd1c-a663-4f1e-8e0c-75916c12bf03 · outbound

This paper cites Nastos and J.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Nastos and J

Reference 83

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:25:46.333295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 0d77938c-5369-4dfa-b961-1c83fc2c7914 · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 84

Resolution
unresolved
no resolver link, observed 2026-08-07T05:25:45.885352Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:25:45.885352Z digest=sha256:2c1194eb84e4990db14c4fe131b78b9d072725f4f7a299b45e631f1c5d395541

Observation 96b9bd8c-e469-454f-9170-98538d9e22c9 · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 86

Resolution
unresolved
no resolver link, observed 2026-08-07T05:25:45.892085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:25:45.892085Z digest=sha256:ac8883c2d9b3d42aac71512ec15daaa4818865910ad747e6714bed875f90ae8b

Observation 6d1d9f34-e2cf-42f6-a687-3b595656eb77 · outbound

This paper cites Spin Hall conductivity in insulators with non-conserved spin.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Spin Hall conductivity in insulators with non-conserved spin

Reference 87

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:25:45.941604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation abc89671-51c3-4a6b-bceb-f1fc503d9f02 · outbound

This paper cites Souza, R.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Souza, R

Reference 88

Resolution
unresolved
no resolver link, observed 2026-08-07T05:25:45.899038Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:25:45.899038Z digest=sha256:a0fe841228fdc980c3201627e2b73a1db2cdca355395d2be037a77d5fb46d1a5

Observation 603b60e7-9c3b-49e1-8da4-c14b3a72fb0e · outbound

This paper cites Patankar, L.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Patankar, L

Reference 89

Resolution
unresolved
no resolver link, observed 2026-08-07T05:25:45.902529Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:25:45.902529Z digest=sha256:8dba416861c00cb44dbee9171c5e54bbb5ea09e978db3aac531971cf971575a0

Observation e02de30f-1e0c-4207-8133-834ce3ffd50e · outbound

This paper cites 449–452, extended version: METR 94-14, De- partment of Mathematical Engineering and Instrumen- tation Physics, University of Tokyo.

Multi-State Geometry of Density Matrices and Rectification Sum Rules 449–452, extended version: METR 94-14, De- partment of Mathematical Engineering and Instrumen- tation Physics, University of Tokyo

Reference 1995

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:25:46.463427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:25:45.828598Z digest=sha256:1e3c5ee0f47b300fcaa822966d8a346859e1d1260a0626add251c1f653a9dde1

Pith citing papers

No inbound Pith citation observations are available.