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Paper Citation Record · LEDGER

Relating the modular Hamiltonian to two-point functions

As of 18 August 2026, this Paper Citation Record lists 84 of 84 outbound references and 0 inbound Pith citation observations for arXiv:2501.09669.

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

pith.paper-citation-record.v1
2501.09669 v2

Coverage vector

measured 84 of 84 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-10T20:00:38.541256Z

measured 84 of 84 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 0 of 0 inbound itemization

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Reference resolution

84 of 84 outbound references displayed

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Outbound references

Observation e44c9b3d-68d7-4654-a0f6-cb3352a839ff · outbound

This paper cites Tomita,On canonical forms of von Neumann algebras (in Japanese), inFifth Functional Analysis Symposium, Tôhoku Univ., Sendai, (Sendai, Japan), pp.

Relating the modular Hamiltonian to two-point functions Tomita,On canonical forms of von Neumann algebras (in Japanese), inFifth Functional Analysis Symposium, Tôhoku Univ., Sendai, (Sendai, Japan), pp

Reference 1

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Observation 79eb1b1c-d8f9-49f5-8025-2bfa26dda593 · outbound

This paper cites Takesaki,Tomita’s Theory of Modular Hilbert Algebras and its Applications, vol.

Relating the modular Hamiltonian to two-point functions Takesaki,Tomita’s Theory of Modular Hilbert Algebras and its Applications, vol

Reference 2

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source=pdf_text observed=2026-08-10T20:00:38.160265Z digest=sha256:0d5888abf44870c9c183450ca7e6781d65b936d45abc0dc3ba5fd98e9f1f29aa

Observation 227086b0-d503-4499-b83a-2cc4239eafe1 · outbound

This paper cites Araki,Inequalities in von Neumann algebras, Rencontr.

Relating the modular Hamiltonian to two-point functions Araki,Inequalities in von Neumann algebras, Rencontr

Reference 3

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Observation 26d41626-37d9-46d8-bdcb-f080ff4f9bf4 · outbound

This paper cites Araki,Relative Entropy of States of von Neumann Algebras, Publ.

Relating the modular Hamiltonian to two-point functions Araki,Relative Entropy of States of von Neumann Algebras, Publ

Reference 4

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source=pdf_text observed=2026-08-10T20:00:38.170080Z digest=sha256:0091161696dfb50a4370ef50f5a9450e05b58f2d4520e75b1585d602bdeb7d9a

Observation cb2e213e-f932-4d61-b34d-0ac277cc0479 · outbound

This paper cites Uhlmann,Relative Entropy and the Wigner-Yanase-Dyson-Lieb Concavity in an Interpolation Theory, Commun.

Relating the modular Hamiltonian to two-point functions Uhlmann,Relative Entropy and the Wigner-Yanase-Dyson-Lieb Concavity in an Interpolation Theory, Commun

Reference 5

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source=pdf_text observed=2026-08-10T20:00:38.175616Z digest=sha256:18cd2f8318efb187c9b433a1b11173874e846e232e8693804355e0e083d0925c

Observation a9ac597c-c0d9-4781-8032-0427c0ea75c4 · outbound

This paper cites Bisognano and E.H.

Relating the modular Hamiltonian to two-point functions Bisognano and E.H

Reference 6

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source=pdf_text observed=2026-08-10T20:00:38.180654Z digest=sha256:5fbda53885a7e0978a8065697a20173e9b3e399a3fb581bb3810fa59d3b087f2

Observation 22053402-61db-4792-afe6-7879b6f1127e · outbound

This paper cites Bisognano and E.H.

Relating the modular Hamiltonian to two-point functions Bisognano and E.H

Reference 7

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source=pdf_text observed=2026-08-10T20:00:38.185971Z digest=sha256:1e9aad23ae5ea4d9dc57ebeb22866624074dbd9788c7f9f7ce4dcbadbb5f56c9

Observation 8f71a51c-4b48-4c46-a467-970eb089685d · outbound

This paper cites an unresolved cited work.

Relating the modular Hamiltonian to two-point functions Unresolved cited work

Reference 8

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source=pdf_text observed=2026-08-10T20:00:38.190261Z digest=sha256:c237f23eba5bfa380d4753a484fcf27b13d5fb8a139223d5ca4ffa91a5bf3697

Observation b140965e-77f2-4cd8-8bbb-f763562e2ed5 · outbound

This paper cites Hislop and R.

Relating the modular Hamiltonian to two-point functions Hislop and R

Reference 9

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source=pdf_text observed=2026-08-10T20:00:38.195030Z digest=sha256:c8d65493f3d44fe13a11eb949f46bcc756f048470b8b4d1ddf7f2899ce65fde7

Observation a510d55e-8881-4570-91d2-9a63c360b731 · outbound

This paper cites Hislop,Conformal Covariance, Modular Structure, and Duality for Local Algebras in Free Massless Quantum Field Theories, Annals Phys.185 (1988) 193.

Relating the modular Hamiltonian to two-point functions Hislop,Conformal Covariance, Modular Structure, and Duality for Local Algebras in Free Massless Quantum Field Theories, Annals Phys.185 (1988) 193

Reference 10

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source=pdf_text observed=2026-08-10T20:00:38.199481Z digest=sha256:76c493cbfe69b63c7751f7c710e72ebe2eeabc904bd8653f75faa29310e2abcd

Observation 9087c94e-f85b-4c00-8407-b6c19f085d58 · outbound

This paper cites Analyticity properties and thermal effects for general quantum field theory on de Sitter space-time.

Relating the modular Hamiltonian to two-point functions Analyticity properties and thermal effects for general quantum field theory on de Sitter space-time

Reference 11

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source=pdf_text observed=2026-08-10T20:00:38.203535Z digest=sha256:d0821c6a6ebaf2ad81f76e4bf8f8f00ddedbdf1fdfb3ef090a5121d4dd6fa59e

Observation 2164614a-911e-4812-96da-ea1c3206456f · outbound

This paper cites Dreyer,Das Prinzip der geometrischen modularen Wirkung im de Sitter-Raum, Master’s thesis, Universität Hamburg, 1996.

Relating the modular Hamiltonian to two-point functions Dreyer,Das Prinzip der geometrischen modularen Wirkung im de Sitter-Raum, Master’s thesis, Universität Hamburg, 1996

Reference 12

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source=pdf_text observed=2026-08-10T20:00:38.208482Z digest=sha256:29ca59eb155a6e214203930b8322524528411af35b389514da8715dcd3377a39

Observation 2023756f-4944-4ad5-a408-a41318e6e06d · outbound

This paper cites Florig,Geometric modular action, Ph.D.

Relating the modular Hamiltonian to two-point functions Florig,Geometric modular action, Ph.D

Reference 13

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source=pdf_text observed=2026-08-10T20:00:38.212516Z digest=sha256:db479357ef5e1502378e0cf6438db51aa9a6d5b9c5a863f39e0e6bc835bba020

Observation 87005b25-996a-4433-a2db-84fad394f089 · outbound

This paper cites Global Properties of Vacuum States in de Sitter Space.

Relating the modular Hamiltonian to two-point functions Global Properties of Vacuum States in de Sitter Space

Reference 14

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source=pdf_text observed=2026-08-10T20:00:38.216763Z digest=sha256:7c671abe49657bd5d77f5a2b51bae63570d44a399020320bc843dd12d7ea4a29

Observation 4197fe13-08e2-4424-9b5c-41b9a95820f5 · outbound

This paper cites Geometric Modular Action and Spacetime Symmetry Groups.

Relating the modular Hamiltonian to two-point functions Geometric Modular Action and Spacetime Symmetry Groups

Reference 15

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source=pdf_text observed=2026-08-10T20:00:38.221399Z digest=sha256:de63b56678f063290dbe5736a964fb325fcb5c23391166a414ba21146dc4196e

Observation 3f2b7b9a-393a-494c-9d2b-b77e94f1fac7 · outbound

This paper cites Figari, R.

Relating the modular Hamiltonian to two-point functions Figari, R

Reference 16

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source=pdf_text observed=2026-08-10T20:00:38.226282Z digest=sha256:0a9c788771cdbff6d046d28f404e9128dc4722f57948bb22d937074237534864

Observation 55434f71-469e-4c56-90d2-68efe6366e30 · outbound

This paper cites Gibbons and S.W.

Relating the modular Hamiltonian to two-point functions Gibbons and S.W

Reference 17

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source=pdf_text observed=2026-08-10T20:00:38.231524Z digest=sha256:3c1a1fcb42952f6c38a4bde4812afd5b9c62f3088dfeccad4befeed8fdfa02ab

Observation 3c891fce-9e4e-4c95-9643-3505a657975b · outbound

This paper cites An Algebra of Observables for de Sitter Space.

Relating the modular Hamiltonian to two-point functions An Algebra of Observables for de Sitter Space

Reference 18

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source=pdf_text observed=2026-08-10T20:00:38.235791Z digest=sha256:d0b67b4e3a9696e521e727fa5f7545aab96954d58c78d4e6c631b6278c8d973a

Observation 76357130-347f-4fc1-9ac1-8891d0d322bf · outbound

This paper cites The second law of thermodynamics, TCP, and Einstein causality in anti-de Sitter space-time.

Relating the modular Hamiltonian to two-point functions The second law of thermodynamics, TCP, and Einstein causality in anti-de Sitter space-time

Reference 19

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source=pdf_text observed=2026-08-10T20:00:38.240458Z digest=sha256:348c7126f631055f0926828d9ddfdd769636aa161e24eaebd48e1e21da033d3d

Observation 9aa86cd6-04d5-4876-9b10-64b6d3b75693 · outbound

This paper cites Transplantation of Local Nets and Geometric Modular Action on Robertson-Walker Space-Times.

Relating the modular Hamiltonian to two-point functions Transplantation of Local Nets and Geometric Modular Action on Robertson-Walker Space-Times

Reference 20

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source=pdf_text observed=2026-08-10T20:00:38.245284Z digest=sha256:9c7512ad95d92145e72f6c3d1a55bd7f0b20cd8e523938189c2b623eb5e2cd91

Observation 17d3fe65-cd93-47fb-8b93-d01fff724524 · outbound

This paper cites Covariant and quasi-covariant quantum dynamics in Robertson-Walker space-times.

Relating the modular Hamiltonian to two-point functions Covariant and quasi-covariant quantum dynamics in Robertson-Walker space-times

Reference 21

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source=pdf_text observed=2026-08-10T20:00:38.249994Z digest=sha256:5faf58442e740d77779388ad7a49b163cea81eefd24edefb0134636b34d0932b

Observation 8c68019a-0bdf-4f1e-b70d-c23d2338817e · outbound

This paper cites Sewell,Quantum fields on manifolds: PCT and gravitationally induced thermal states, Annals Phys.141 (1982) 201.

Relating the modular Hamiltonian to two-point functions Sewell,Quantum fields on manifolds: PCT and gravitationally induced thermal states, Annals Phys.141 (1982) 201

Reference 22

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source=pdf_text observed=2026-08-10T20:00:38.254850Z digest=sha256:a19d02a607a2228a56a039579c3a4c8a709fbb49dd8922d3709d58802e6ed864

Observation cabb03db-4f0b-4e53-8c1a-a29484556714 · outbound

This paper cites Kay,Purification of KMS States, Helv.

Relating the modular Hamiltonian to two-point functions Kay,Purification of KMS States, Helv

Reference 23

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source=pdf_text observed=2026-08-10T20:00:38.259370Z digest=sha256:c017fa898c6bb6d8188e0cbdcf5bee3768f9f0a010fb7eab7f1d5fcbd6e628fd

Observation fa49aac9-8057-4bee-8560-0f8bd5c96fa5 · outbound

This paper cites Kay,The Double Wedge Algebra for Quantum Fields on Schwarzschild and Minkowski Spacetimes, Commun.

Relating the modular Hamiltonian to two-point functions Kay,The Double Wedge Algebra for Quantum Fields on Schwarzschild and Minkowski Spacetimes, Commun

Reference 24

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source=pdf_text observed=2026-08-10T20:00:38.263918Z digest=sha256:13d1ce6f23195adb351890bfb483e9fe6d2783374cd47c13e98ef846bb02f768

Observation e496a235-7c96-4f60-b2a1-833f3f1cd3a1 · outbound

This paper cites Kay and R.M.

Relating the modular Hamiltonian to two-point functions Kay and R.M

Reference 25

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation f68735c4-92d4-4feb-a2d3-87ec89ab2070 · outbound

This paper cites Modular Hamiltonian for de Sitter diamonds.

Relating the modular Hamiltonian to two-point functions Modular Hamiltonian for de Sitter diamonds

Reference 26

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source=pdf_text observed=2026-08-10T20:00:38.273548Z digest=sha256:84db5ffc0f7a71bf43eea47d3fcc3d3efd96853daa8d0c1d5ca9d0010aaab2af

Observation fed3acc7-08c5-4b7e-9138-0dce6a9ea048 · outbound

This paper cites Modular Groups of Quantum Fields in Thermal States.

Relating the modular Hamiltonian to two-point functions Modular Groups of Quantum Fields in Thermal States

Reference 27

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source=pdf_text observed=2026-08-10T20:00:38.278985Z digest=sha256:8f331556c93769b9ed963a1446f2e01f5301f8ac3f26d65fe1e99742732e1734

Observation e1559cff-8e56-4fb4-a47f-40fb44579cad · outbound

This paper cites Calculation of reduced density matrices from correlation functions.

Relating the modular Hamiltonian to two-point functions Calculation of reduced density matrices from correlation functions

Reference 28

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source=pdf_text observed=2026-08-10T20:00:38.283553Z digest=sha256:af138e1f0f858173f415cbeeab4b7457a8ebac6fd84e37b9db7701f6325c28f8

Observation 2c91dd63-3694-43ea-a321-8598d65c025b · outbound

This paper cites Analytic results on the geometric entropy for free fields.

Relating the modular Hamiltonian to two-point functions Analytic results on the geometric entropy for free fields

Reference 29

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:38.288232Z digest=sha256:0adf96fae121a7a0f31056575f9a664559244ca53ae7c27b142314983fbb904d

Observation 3cbcd3a6-4300-47ef-8a39-60fb2eccbf43 · outbound

This paper cites Reduced density matrix and internal dynamics for multicomponent regions.

Relating the modular Hamiltonian to two-point functions Reduced density matrix and internal dynamics for multicomponent regions

Reference 30

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source=pdf_text observed=2026-08-10T20:00:38.293015Z digest=sha256:b2fe16b795f379e4941f86662c2b816ebafb74d732b389495f04f29df5d61f70

Observation 3c074f6b-98e2-4b58-99e9-e1c68bc4b834 · outbound

This paper cites Entanglement entropy in free quantum field theory.

Relating the modular Hamiltonian to two-point functions Entanglement entropy in free quantum field theory

Reference 31

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source=pdf_text observed=2026-08-10T20:00:38.297623Z digest=sha256:c3308c2fe110db62d29a68ce18b166531d196517a7297f7347542a0cedea69ab

Observation 3d77124d-cf5f-4c2c-b2fe-921895a4f450 · outbound

This paper cites Geometric modular action for disjoint intervals and boundary conformal field theory.

Relating the modular Hamiltonian to two-point functions Geometric modular action for disjoint intervals and boundary conformal field theory

Reference 32

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source=pdf_text observed=2026-08-10T20:00:38.302372Z digest=sha256:8f374a82162fd637fd7a92d9557a766e0b9b7289cbb1baa20e837f471822882f

Observation 7be7af18-8792-4405-a1e6-6875fa0088fc · outbound

This paper cites Entanglement entropy for the n-sphere.

Relating the modular Hamiltonian to two-point functions Entanglement entropy for the n-sphere

Reference 33

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source=pdf_text observed=2026-08-10T20:00:38.307220Z digest=sha256:e51033d35461d61da4c28a49bd19f4a7accbd0380750eb5ce6ca5b96ed835821

Observation 2ea995c2-f3aa-420d-a25e-5457ab25bc92 · outbound

This paper cites Multilocal fermionization.

Relating the modular Hamiltonian to two-point functions Multilocal fermionization

Reference 34

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source=pdf_text observed=2026-08-10T20:00:38.311809Z digest=sha256:3380fa22603560d172623123c89bf033ad2fae12c25772a01f6e335b5465c982

Observation ba01aa86-8e08-4622-8020-7a163cf9fe3b · outbound

This paper cites Entanglement hamiltonians in two-dimensional conformal field theory.

Relating the modular Hamiltonian to two-point functions Entanglement hamiltonians in two-dimensional conformal field theory

Reference 35

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source=pdf_text observed=2026-08-10T20:00:38.316527Z digest=sha256:7d22f1df17c14d099cf8562cd688f37dc46d302410958f591be565398dfdb870

Observation 255d8209-00e0-4856-a9f0-e6b5646e13e9 · outbound

This paper cites Local temperatures and local terms in modular Hamiltonians.

Relating the modular Hamiltonian to two-point functions Local temperatures and local terms in modular Hamiltonians

Reference 36

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source=pdf_text observed=2026-08-10T20:00:38.321200Z digest=sha256:da17ac60f03c3ef6f99d8e99e8d2200434ad57c6dbac7b650fd19b170e6fe9f2

Observation 01637760-f03a-45dc-806b-291f7d7978b3 · outbound

This paper cites Modular Hamiltonians on the null plane and the Markov property of the vacuum state.

Relating the modular Hamiltonian to two-point functions Modular Hamiltonians on the null plane and the Markov property of the vacuum state

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:38.325793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:38.325793Z digest=sha256:6b0a6e60f9ce482459484f168077e564c579acdddff07e900ff0c09d4a272bc7

Observation 606db887-8480-40b9-b327-39fe08073644 · outbound

This paper cites Entanglement hamiltonian and entanglement contour in inhomogeneous 1D critical systems.

Relating the modular Hamiltonian to two-point functions Entanglement hamiltonian and entanglement contour in inhomogeneous 1D critical systems

Reference 38

Resolution
verified exact
local_arxiv, observed 2026-08-10T20:00:39.321917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:38.330658Z digest=sha256:402446d1856ea8166489b54e85b883f6fd733a29513c5ab5ee13fbd80c9861b6

Observation 0235a885-30d4-4fe9-a819-dc13e6bbb7fb · outbound

This paper cites Entropy and modular Hamiltonian for a free chiral scalar in two intervals.

Relating the modular Hamiltonian to two-point functions Entropy and modular Hamiltonian for a free chiral scalar in two intervals

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:38.335326Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:38.335326Z digest=sha256:6cddf3ff3c4edae0a995a2910432413c8bb08acc3bfe1bc7413f2f39bb6c9374

Observation 8c920b2a-a7b4-4c24-b633-081ef5b38e78 · outbound

This paper cites Properties of Modular Hamiltonians on Entanglement Plateaux.

Relating the modular Hamiltonian to two-point functions Properties of Modular Hamiltonians on Entanglement Plateaux

Reference 40

Resolution
verified exact
local_arxiv, observed 2026-08-10T20:00:39.287512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:38.340153Z digest=sha256:89f7c5951ca935d0bbd86f5c063347cd1f1c0a9d4e0c75177d391baeeeb017dc

Observation 9d9344af-c721-45b1-94c6-87e94104e229 · outbound

This paper cites On the continuum limit of the entanglement Hamiltonian.

Relating the modular Hamiltonian to two-point functions On the continuum limit of the entanglement Hamiltonian

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:38.345101Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:38.345101Z digest=sha256:5b40acc530d8d5c14b7698b7665af73a35bba8eeab659f05b984d1c5cd7206ea

Observation a3959379-1767-4e99-9d63-88c9187be79e · outbound

This paper cites On the modular operator of mutli-component regions in chiral CFT.

Relating the modular Hamiltonian to two-point functions On the modular operator of mutli-component regions in chiral CFT

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:38.349640Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:38.349640Z digest=sha256:f84c54511e91d1221fe37c13e11ccfff4c0d4f847cd1cd824d71ca6d56dd7f37

Observation 9b1c235f-6d46-4d33-a282-bd3a97d83a05 · outbound

This paper cites Modular Hamiltonian of a chiral fermion on the torus.

Relating the modular Hamiltonian to two-point functions Modular Hamiltonian of a chiral fermion on the torus

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:38.354323Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:38.354323Z digest=sha256:ae3c177f9c26408f70c6422047c1d15bb9b435e233ca675d4a81f244f7ac76eb

Observation 03790079-52fb-49c4-be90-f940a0154734 · outbound

This paper cites The entanglement spectrum of chiral fermions on the torus.

Relating the modular Hamiltonian to two-point functions The entanglement spectrum of chiral fermions on the torus

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:38.358791Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:38.358791Z digest=sha256:5897b7f85aa5f2260afafbcd6133fd604db48cf7393e7574108d795e1610cbad

Observation d9f82fd0-324e-4345-9a43-30988f055399 · outbound

This paper cites The entanglement and relative entropy of a chiral fermion on the torus.

Relating the modular Hamiltonian to two-point functions The entanglement and relative entropy of a chiral fermion on the torus

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:38.363205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:38.363205Z digest=sha256:0cf287e18a89bc77fdd519758bf1ed6bed1641c7f30d7f75d389b37de9df5f27

Observation 9d548085-2f40-4453-a0b7-0255e800e6ec · outbound

This paper cites On entanglement hamiltonians of an interval in massless harmonic chains.

Relating the modular Hamiltonian to two-point functions On entanglement hamiltonians of an interval in massless harmonic chains

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:38.367556Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:38.367556Z digest=sha256:64b69c18d297b7fc82666cea670e92e7b89bc25b553ee29a7257714afc957fe4

Observation 45241dc9-1a09-46c7-85c4-ee4b9dd32b7b · outbound

This paper cites Entanglement Hamiltonians for non-critical quantum chains.

Relating the modular Hamiltonian to two-point functions Entanglement Hamiltonians for non-critical quantum chains

Reference 47

Resolution
verified exact
local_arxiv, observed 2026-08-10T20:00:39.183809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:38.372024Z digest=sha256:43b0fb7ea30fc1a01a2f56710e98ff05cbef5fde0ec44fc4d65d48ad5e07a79a

Observation db0b0322-3660-4855-9f66-08dbbb924e64 · outbound

This paper cites Resolving modular flow: a toolkit for free fermions.

Relating the modular Hamiltonian to two-point functions Resolving modular flow: a toolkit for free fermions

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:38.376593Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:38.376593Z digest=sha256:24154e93a31a06e02932801697bbe9f0bb69a42ee2ea01cdcde5dafd04f7fb62

Observation b3d73c69-19a4-4228-b68e-dc4d2fc7e9bb · outbound

This paper cites Modular Hamiltonians for the massless Dirac field in the presence of a boundary.

Relating the modular Hamiltonian to two-point functions Modular Hamiltonians for the massless Dirac field in the presence of a boundary

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:38.381353Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:38.381353Z digest=sha256:b793f906b3181894b37d6dee8b4cdac1325282e6298f4ef47d9cc0d826c89f14

Observation a5ff140b-5313-4e7d-b0fb-ded7ca20d883 · outbound

This paper cites Modular Hamiltonians for the massless Dirac field in the presence of a defect.

Relating the modular Hamiltonian to two-point functions Modular Hamiltonians for the massless Dirac field in the presence of a defect

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:38.385939Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:38.385939Z digest=sha256:1cb962e8a392b28ac6622ad859339b633beb8f5472da8c308d10d54422939a2a

Observation 4a526c62-9c4c-4618-a94e-07a8f55affdb · outbound

This paper cites Entanglement of two disjoint intervals in conformal field theory and the 2D Coulomb gas on a lattice.

Relating the modular Hamiltonian to two-point functions Entanglement of two disjoint intervals in conformal field theory and the 2D Coulomb gas on a lattice

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:38.390536Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:38.390536Z digest=sha256:5849938aae49e0f77110135abb0c21a37651084b11808364943b995a947fbc06

Observation 8ede062e-6938-4d3d-80d5-522a2746189c · outbound

This paper cites On the continuum limit of the entanglement Hamiltonian of a sphere for the free massless scalar field.

Relating the modular Hamiltonian to two-point functions On the continuum limit of the entanglement Hamiltonian of a sphere for the free massless scalar field

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:38.395133Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:38.395133Z digest=sha256:4b8989de254bd9107985e81bc4004f09fafe4fe1d38e31db3966eecd624c819f

Observation 8b992199-cc3a-473c-92da-a03e45aaddf2 · outbound

This paper cites Local and non-local properties of the entanglement Hamiltonian for two disjoint intervals.

Relating the modular Hamiltonian to two-point functions Local and non-local properties of the entanglement Hamiltonian for two disjoint intervals

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:38.399645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:38.399645Z digest=sha256:3faa016459cd190e880eee1d2208be6864939aac3002c89924a6543a2aa075ad

Observation b64d90aa-346a-4747-acb5-c5bcd8d017ee · outbound

This paper cites Modular conjugations in 2D conformal field theory and holographic bit threads.

Relating the modular Hamiltonian to two-point functions Modular conjugations in 2D conformal field theory and holographic bit threads

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:38.404428Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:38.404428Z digest=sha256:19bb7685d713876c540cc3971a47f7f086519b24214146930a023090758d9102

Observation 95569b2c-3791-4ae0-bbcf-646cfe26bee8 · outbound

This paper cites Modular conjugation for multicomponent regions.

Relating the modular Hamiltonian to two-point functions Modular conjugation for multicomponent regions

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:38.409226Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:38.409226Z digest=sha256:402cb36a0c700ef98cbff1228abb14a86dcd7c6db4e37f348fc1fa8820657b6f

Observation 475c0113-a709-49c4-8597-c70aa8633a33 · outbound

This paper cites Entanglement and negativity Hamiltonians for the massless Dirac field on the half line.

Relating the modular Hamiltonian to two-point functions Entanglement and negativity Hamiltonians for the massless Dirac field on the half line

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:38.413979Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:38.413979Z digest=sha256:18b0f1b6df401b8fecd89db01139072ecd7422fd691000aa3548b6985e225bc8

Observation 2f6a5958-a7a5-4572-81e3-afd171ce551c · outbound

This paper cites Di Giulio and J.

Relating the modular Hamiltonian to two-point functions Di Giulio and J

Reference 57

Resolution
verified exact
raw_fallback, observed 2026-08-10T20:00:39.036364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:38.418816Z digest=sha256:8844d88cfe38eab7adc6dfdb257a7144905a7e782a0d1bfbfd4562d64b8319b3

Observation 99a2d5db-8abd-4a3f-a269-63bfde97a22f · outbound

This paper cites Modular Hamiltonian of the scalar field in the semi infinite line: dimensional reduction for spherically symmetric regions.

Relating the modular Hamiltonian to two-point functions Modular Hamiltonian of the scalar field in the semi infinite line: dimensional reduction for spherically symmetric regions

Reference 58

Resolution
verified exact
local_arxiv, observed 2026-08-10T20:00:38.949074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:38.423224Z digest=sha256:15571f722592a6da718c7bab511982200f5c75217304669a476a3159ba430c39

Observation 4acbb9fe-14a8-4122-a5b5-06a3e77bfcae · outbound

This paper cites Modular Hamiltonian in the semi infinite line, Part II: dimensional reduction of Dirac fermions in spherically symmetric regions.

Relating the modular Hamiltonian to two-point functions Modular Hamiltonian in the semi infinite line, Part II: dimensional reduction of Dirac fermions in spherically symmetric regions

Reference 59

Resolution
verified exact
local_arxiv, observed 2026-08-10T20:00:38.928023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:38.427859Z digest=sha256:5b314e8d7b0f36e2e253c7db0ad62bb0e6894b0dea16bf7b5f5ba7eb5a9b1262

Observation 01c38dc4-47bd-4f47-9d14-f2dc786bf467 · outbound

This paper cites Rieffel and A.

Relating the modular Hamiltonian to two-point functions Rieffel and A

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:39.795289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:38.432459Z digest=sha256:c7bf327fa3d50d76ba2dd5ac670715688b0bf89e913d01978d5639c9438088a4

Observation cdf28a91-95cb-4ac8-b38a-810f9a944ca2 · outbound

This paper cites The information in a wave.

Relating the modular Hamiltonian to two-point functions The information in a wave

Reference 61

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:38.436723Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:38.436723Z digest=sha256:048653aa5397a3c2b7946843daebeb61d03a785e7627c685a817289a76951ba3

Observation 21ea3273-b5f2-4280-a10d-c7741804b5c5 · outbound

This paper cites Bostelmann, D.

Relating the modular Hamiltonian to two-point functions Bostelmann, D

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:39.781249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:38.441080Z digest=sha256:9fd2beee970c50b6a3484b7ff4ae41b6e556ec73fed5bd36834e338852128a15

Observation 8b6d459b-d422-4d47-9bd2-08693b04452a · outbound

This paper cites Modular structure of the Weyl algebra.

Relating the modular Hamiltonian to two-point functions Modular structure of the Weyl algebra

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:38.445415Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:38.445415Z digest=sha256:14b8250fa8bb9f3d461dc81e33e52c67a5478c8f6afbfbd1d9b4e6381998f0a5

Observation 76c95b36-ad60-4a51-af08-6ea3f0f56f69 · outbound

This paper cites On the mass dependence of the modular operator for a double cone.

Relating the modular Hamiltonian to two-point functions On the mass dependence of the modular operator for a double cone

Reference 64

Resolution
verified exact
local_arxiv, observed 2026-08-10T20:00:38.878856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:38.450242Z digest=sha256:a1fdfb35b213bd673228c051913df9be2d320478b6c6ccc2260bf358e61b2bf9

Observation 249cb010-d79b-4a26-8474-4800838cae4e · outbound

This paper cites Modular Hamiltonian for fermions of small mass.

Relating the modular Hamiltonian to two-point functions Modular Hamiltonian for fermions of small mass

Reference 65

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:38.455060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:38.455060Z digest=sha256:7e141e203a19e09317f8587db147b1ca1299a2c98c9b5cbb15a2a98b4f9191f7

Observation f9bacb07-5fee-4ace-9d36-2aa85b426ab6 · outbound

This paper cites Entanglement of a chiral fermion on the torus.

Relating the modular Hamiltonian to two-point functions Entanglement of a chiral fermion on the torus

Reference 66

Resolution
verified exact
local_arxiv, observed 2026-08-10T20:00:38.844831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:38.459622Z digest=sha256:b2c547eb30d4b8292e573189c29e317214c68c9e0e6798365b86751236137244

Observation 8f1e8288-e1a9-4979-a855-d5513ac9cd72 · outbound

This paper cites Modular Hamiltonian and modular flow of massless fermions on a cylinder.

Relating the modular Hamiltonian to two-point functions Modular Hamiltonian and modular flow of massless fermions on a cylinder

Reference 67

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:38.464124Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:38.464124Z digest=sha256:f990464b8da549ec678fd7a97f13fd1b496e0dd0767741628a4890594917cd88

Observation e50e2006-433b-4b34-95a2-4f145ff211e0 · outbound

This paper cites Entanglement in $(1+1)$-dimensional Free Scalar Field Theory: Tiptoeing between Continuum and Discrete Formulations.

Relating the modular Hamiltonian to two-point functions Entanglement in $(1+1)$-dimensional Free Scalar Field Theory: Tiptoeing between Continuum and Discrete Formulations

Reference 68

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:38.468964Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:38.468964Z digest=sha256:62ab9ef08b5c34485220e5c15303451610f1930a5af05a694403b5680990984e

Observation 7d0cc29c-2161-4bd8-8981-cb3ce283dbc0 · outbound

This paper cites Petz,An Invitation to the Algebra of Canonical Commutation Relations, vol.

Relating the modular Hamiltonian to two-point functions Petz,An Invitation to the Algebra of Canonical Commutation Relations, vol

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:39.766910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:38.473868Z digest=sha256:915708e478b215902b7def9a2b8f6ac14acff0a94cb7fe0b4e9d379346538cad

Observation 58683794-3a35-4d9e-b3ed-43c7fad86083 · outbound

This paper cites The massive Feynman propagator on asymptotically Minkowski spacetimes II.

Relating the modular Hamiltonian to two-point functions The massive Feynman propagator on asymptotically Minkowski spacetimes II

Reference 70

Resolution
verified exact
local_arxiv, observed 2026-08-10T20:00:38.795855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:38.478016Z digest=sha256:22e6daf3c8bca8077b2be0d57134b386aed9f272601a02cb35132247cd1e9f81

Observation abe85851-e5de-4ce8-b8d7-96042c67fabc · outbound

This paper cites Complex Structures for Klein-Gordon Theory on Globally Hyperbolic Spacetimes.

Relating the modular Hamiltonian to two-point functions Complex Structures for Klein-Gordon Theory on Globally Hyperbolic Spacetimes

Reference 71

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:38.482720Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:38.482720Z digest=sha256:2afebd025a7f0207026f1eae9d6fc35aaeeee439c1addf13c9c1420f04909d27

Observation aba388be-f2e0-405b-a060-3efa875c9c28 · outbound

This paper cites Adiabatic Ground States in Non-Smooth Spacetimes.

Relating the modular Hamiltonian to two-point functions Adiabatic Ground States in Non-Smooth Spacetimes

Reference 72

Resolution
metadata mismatch
local_arxiv, observed 2026-08-10T20:00:38.760987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:38.487475Z digest=sha256:aa1fbf243c7165244ba7ac0d00fec8bd6dd47c0383895d4ad0f20ce80aae266a

Observation 6bd8838a-7cb7-494a-b7a1-0faa889987bd · outbound

This paper cites On microlocalisation and the construction of Feynman Propagators for normally hyperbolic operators.

Relating the modular Hamiltonian to two-point functions On microlocalisation and the construction of Feynman Propagators for normally hyperbolic operators

Reference 73

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:38.492337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:38.492337Z digest=sha256:7b156967ffa6d91a3f299af02dc46cdc4f27033a5e073488522b27f21ac6c218

Observation 5c5da702-a2e8-4891-893d-7be6728b76bb · outbound

This paper cites Dereziński and C.

Relating the modular Hamiltonian to two-point functions Dereziński and C

Reference 74

Resolution
verified exact
raw_fallback, observed 2026-08-10T20:00:38.722669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:38.496885Z digest=sha256:7dab029ecc2f6990dce6d9415311f5586d404e4d0eba325d3a0da4d9e7469053

Observation dbad1c7b-406e-4e55-aa4f-ca4cb405d2ca · outbound

This paper cites Dixmier,Position relative de deux variétés linéaires fermées dans un espace de Hilbert, Rev.

Relating the modular Hamiltonian to two-point functions Dixmier,Position relative de deux variétés linéaires fermées dans un espace de Hilbert, Rev

Reference 75

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:39.752074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:38.501514Z digest=sha256:c8c09f517b888d1602ce84ce98d51abd0871d8b2712f4de565cbfc76906ddc25

Observation e98a6923-2f4b-402a-9002-77751ca590e6 · outbound

This paper cites Halmos,Two subspaces, Trans.

Relating the modular Hamiltonian to two-point functions Halmos,Two subspaces, Trans

Reference 76

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:39.737509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:38.505871Z digest=sha256:984c2b89dea644cb830079aa3eafbd9b7696b8be484105540bc519db9a21f6d7

Observation 00a99bc9-9b62-492e-814d-f1e7cb02a424 · outbound

This paper cites Segal and R.W.

Relating the modular Hamiltonian to two-point functions Segal and R.W

Reference 77

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:39.722430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:38.510260Z digest=sha256:c7b3f54249fbe822b0cbf5e8f38c456aef69d89e6c885062de826192c6aa33c5

Observation e74ecb7e-b1a9-463f-bc1f-fb38927f5324 · outbound

This paper cites Masuda,Anti-Locality of the One-half Power of Elliptic Differential Operators, Publ.

Relating the modular Hamiltonian to two-point functions Masuda,Anti-Locality of the One-half Power of Elliptic Differential Operators, Publ

Reference 78

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:39.707420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:38.514750Z digest=sha256:4478658a9b15f07250af5126073f7c7f603e247b565a4bd0287c7d381fee8997

Observation 0572a76f-16c3-4e6c-a99b-6178d7264433 · outbound

This paper cites Murata,Anti-locality of certain functions of the Laplace operator, J.

Relating the modular Hamiltonian to two-point functions Murata,Anti-locality of certain functions of the Laplace operator, J

Reference 79

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:39.691202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:38.519394Z digest=sha256:3dd095667d9c1a53803200b66cdab4a58cadda3ecb1baf2a2a0591c9ef700b29

Observation a1aa8d2d-a4df-478c-af32-556e55e28775 · outbound

This paper cites Figliolini and D.

Relating the modular Hamiltonian to two-point functions Figliolini and D

Reference 80

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:39.676378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:38.523566Z digest=sha256:55b4dd3b3f83b140d200e35bf1baa85148765749bb80e6dfe4afd8dbd6aa1377

Observation 4be1a248-d978-4022-8ec5-c2a4072430b6 · outbound

This paper cites Figliolini and D.

Relating the modular Hamiltonian to two-point functions Figliolini and D

Reference 81

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:39.662015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:38.528379Z digest=sha256:011f7aceb2d021a3998ce1f8e10d5c1def725bbd89cf2ba6c93e5bc27154bbc7

Observation be7dc917-d847-486e-b268-b14b0657d768 · outbound

This paper cites Schmüdgen,Unbounded Self-adjoint Operators on Hilbert Space, vol.

Relating the modular Hamiltonian to two-point functions Schmüdgen,Unbounded Self-adjoint Operators on Hilbert Space, vol

Reference 82

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:38.532831Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:38.532831Z digest=sha256:28230a90d67abaf451515d299670c97cbca03889c13e4a8b4cd898ce42984522

Observation 97631385-98d2-4e3b-a24e-e6d5b0af5461 · outbound

This paper cites Araki,On Quasifree States of the Canonical Commutation Relations (II), Publ.

Relating the modular Hamiltonian to two-point functions Araki,On Quasifree States of the Canonical Commutation Relations (II), Publ

Reference 83

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:39.647605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:38.537224Z digest=sha256:742a61aa1612df1f7d650c404015a29398e5587775a5d61858873c04fb4221c6

Observation 77fb8a6b-4998-46b2-863c-98948a9025a4 · outbound

This paper cites Wigner,On weakly positive matrices, Can.

Relating the modular Hamiltonian to two-point functions Wigner,On weakly positive matrices, Can

Reference 84

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:39.633353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:38.541256Z digest=sha256:da5b22823b3c0c052b9923775581715c73f5651214d4793a084c716efc5adebd

Pith citing papers

No inbound Pith citation observations are available.