Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-04T18:58:52.621541Z
Paper Citation Record · LEDGER
Optimal symmetry operators
As of 20 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2509.09670.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
48 of 48 outbound references displayed
- verified exact1
- verified fuzzy0
- unresolved47
- parse uncertain0
- malformed identifier0
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation d7cec100-761f-4742-808b-dd7aa6997d9e · outbound
This paper cites Some properties of modular conjugation operator of von neumann algebras and a non-commutative radon-nikodym theorem with a chain rule,.
Optimal symmetry operators Some properties of modular conjugation operator of von neumann algebras and a non-commutative radon-nikodym theorem with a chain rule,
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:46.591611Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 455acfc6-d6ea-4101-8985-41f451ae6bde · outbound
This paper cites The Transition Probability in the State Space of a* Algebra,.
Optimal symmetry operators The Transition Probability in the State Space of a* Algebra,
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:46.683708Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fd6e954a-fd34-4cb2-9dd2-a5175455416e · outbound
This paper cites Entropic order parameters for the phases of qft,.
Optimal symmetry operators Entropic order parameters for the phases of qft,
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:46.844314Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 85a6727c-8771-4e9b-8c95-83c6163e6fe0 · outbound
This paper cites Entropic order parameters in weakly coupled gauge theories.
Optimal symmetry operators Entropic order parameters in weakly coupled gauge theories
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:46.935637Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7523b32f-6835-4f11-bded-22b4be44ed8a · outbound
This paper cites Form factors of branch-point twist fields in quantum integrable models and entanglement entropy.
Optimal symmetry operators Form factors of branch-point twist fields in quantum integrable models and entanglement entropy
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:47.107323Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c9b099ec-c515-4e29-81f7-cda5b515ced5 · outbound
This paper cites Local aspects of superselection rules,.
Optimal symmetry operators Local aspects of superselection rules,
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:47.239573Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 74e0d930-058e-4463-a7a5-63020de631ac · outbound
This paper cites Local aspects of superselection rules. II,.
Optimal symmetry operators Local aspects of superselection rules. II,
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:47.345776Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4da46cea-ae0e-491c-9dfb-63bb9a1135cb · outbound
This paper cites Standard and split inclusions of von neumann algebras,.
Optimal symmetry operators Standard and split inclusions of von neumann algebras,
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:47.454485Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 862cf457-986c-4f31-96dd-685791625d6c · outbound
This paper cites On noether’s theorem in quantum field theory,.
Optimal symmetry operators On noether’s theorem in quantum field theory,
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:47.589844Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 23815b6b-b555-4720-b87f-8f63cecce5b5 · outbound
This paper cites A canonical purification for the entanglement wedge cross-section,.
Optimal symmetry operators A canonical purification for the entanglement wedge cross-section,
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:47.700384Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d2999e49-6a7f-4b27-8d4b-887caee19400 · outbound
This paper cites The entanglement of purification.
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:47.794942Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c5a71c00-1fea-4aec-ad55-4afb06b491b5 · outbound
This paper cites Entanglement of purification: from spin chains to holography.
Optimal symmetry operators Entanglement of purification: from spin chains to holography
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:47.867202Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 48b8da94-0229-417a-b888-40a25bc8fe4c · outbound
This paper cites Entanglement of purification through holographic duality,.
Optimal symmetry operators Entanglement of purification through holographic duality,
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:48.023268Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d980d4a9-7216-4719-9750-353d291ff946 · outbound
This paper cites Haag,Local quantum physics: Fields, particles, algebras.
Optimal symmetry operators Haag,Local quantum physics: Fields, particles, algebras
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:48.177224Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 99fbcb2c-cdb4-45ce-9be3-fbf55f9d8891 · outbound
This paper cites Bratteli and D.
Optimal symmetry operators Bratteli and D
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:48.273405Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 733cec95-e710-467f-826e-7f716e599507 · outbound
This paper cites Positive cones associated with a von neumann algebra,.
Optimal symmetry operators Positive cones associated with a von neumann algebra,
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:48.474945Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0692c6e6-985d-411a-9597-d89aaf8c1bfe · outbound
This paper cites A note on the transition probability over C*-algebras,.
Optimal symmetry operators A note on the transition probability over C*-algebras,
Reference 17
- Resolution
- verified exact
- doi, observed 2026-08-04T19:03:40.827360Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 1f18d9f7-2845-46b8-995c-f32d44c9f69b · outbound
This paper cites Positive Cones andL p-Spaces for von Neumann Algebras,.
Optimal symmetry operators Positive Cones andL p-Spaces for von Neumann Algebras,
Reference 18
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- unresolved
- no resolver link, observed 2026-08-04T18:58:48.745937Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 850e9ba4-1c2c-4876-9d2e-0ae619f98e80 · outbound
This paper cites Positive cones and l p -spaces associated with a von neumann algebra,.
Optimal symmetry operators Positive cones and l p -spaces associated with a von neumann algebra,
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:48.814274Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f0945d85-1146-48a2-99c2-ed0cf4aee048 · outbound
This paper cites Takesaki,Tomita’s Theory of Modular Hilbert Algebras and its Applications.
Optimal symmetry operators Takesaki,Tomita’s Theory of Modular Hilbert Algebras and its Applications
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:48.929853Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f3151f8d-a09c-4e36-bfa3-10c7afa38359 · outbound
This paper cites On noether’s theorem in quantum field theory,.
Optimal symmetry operators On noether’s theorem in quantum field theory,
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:49.117336Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 82d36655-d21e-46bd-ab7a-180e8929c8cb · outbound
This paper cites Variational approach to relative entropies (with application to QFT).
Optimal symmetry operators Variational approach to relative entropies (with application to QFT)
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:49.226203Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 39f26a48-244d-4811-920f-1b27ee99f5e1 · outbound
This paper cites Approximate recovery and relative entropy I. general von Neumann subalgebras.
Optimal symmetry operators Approximate recovery and relative entropy I. general von Neumann subalgebras
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:49.363723Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 16f808f1-4f84-4632-bb96-716ea6fa5449 · outbound
This paper cites Remarks on positive cones associated with a von Neumann algebra,.
Optimal symmetry operators Remarks on positive cones associated with a von Neumann algebra,
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:49.507523Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bd47a98d-39b1-4a2c-b64a-35aaf596c944 · outbound
This paper cites Watrous,The Theory of Quantum Information.
Optimal symmetry operators Watrous,The Theory of Quantum Information
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:49.615380Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6dfd7fbc-8252-4b5d-8efe-3bc85f2d7c28 · outbound
This paper cites Notes on Some Entanglement Properties of Quantum Field Theory.
Optimal symmetry operators Notes on Some Entanglement Properties of Quantum Field Theory
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:49.723282Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 440858ab-f20e-4f8c-ba62-45a6c4388532 · outbound
This paper cites Zsid´ o,Lectures on von Neumann algebras.
Optimal symmetry operators Zsid´ o,Lectures on von Neumann algebras
Reference 27
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:49.850719Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7fc00d04-6fb2-4f62-98c6-9832a0a9ea20 · outbound
This paper cites an unresolved cited work.
Optimal symmetry operators Unresolved cited work
Reference 28
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:49.954700Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0460a0b5-4038-4822-90af-be455efaee1a · outbound
This paper cites an unresolved cited work.
Optimal symmetry operators Unresolved cited work
Reference 29
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:50.139899Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 51d6dd20-3de3-423f-9b1d-897e51043f72 · outbound
This paper cites On bures distance and*-algebraic transition probability between inner derived positive linear forms over w*-algebras,.
Optimal symmetry operators On bures distance and*-algebraic transition probability between inner derived positive linear forms over w*-algebras,
Reference 30
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:50.322455Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 974bb92b-01de-49b2-8ad8-310f819b18fe · outbound
This paper cites Bures distance function and a generalization of sakai’s non-commutative radon–nikodym theorem,.
Optimal symmetry operators Bures distance function and a generalization of sakai’s non-commutative radon–nikodym theorem,
Reference 31
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:50.468478Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 93f2e728-3466-4df2-b0e9-50988b52b474 · outbound
This paper cites Von neumann algebras of local observables for free scalar field,.
Optimal symmetry operators Von neumann algebras of local observables for free scalar field,
Reference 32
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:50.636023Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 27825e18-469c-401b-a8f5-e91d14a3709c · outbound
This paper cites A Lattice of Von Neumann Algebras Associated with the Quantum Theory of a Free Bose Field,.
Optimal symmetry operators A Lattice of Von Neumann Algebras Associated with the Quantum Theory of a Free Bose Field,
Reference 33
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:50.766584Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ed5008bc-8d50-415b-8456-c75b9d24f1dd · outbound
This paper cites Relative entropy for coherent states from Araki formula.
Optimal symmetry operators Relative entropy for coherent states from Araki formula
Reference 34
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:50.922018Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 49e183eb-cea4-43fa-ac38-7c2887ca357b · outbound
This paper cites Modular Hamiltonian of the scalar field in the semi infinite line: dimensional reduction for spherically symmetric regions.
Optimal symmetry operators Modular Hamiltonian of the scalar field in the semi infinite line: dimensional reduction for spherically symmetric regions
Reference 35
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:51.014757Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 353ce9ce-92f1-483a-ad87-2804d075c675 · outbound
This paper cites Entropy and Area.
Reference 36
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:51.109640Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ed70b63b-e93e-4b67-a764-91b9ea6faf13 · outbound
This paper cites Modular Structure of the Local Algebras Associated With the Free Massless Scalar Field Theory,.
Optimal symmetry operators Modular Structure of the Local Algebras Associated With the Free Massless Scalar Field Theory,
Reference 37
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:51.240448Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 429cade2-a810-45f7-a21b-8e713a68d4ac · outbound
This paper cites Towards a derivation of holographic entanglement entropy.
Optimal symmetry operators Towards a derivation of holographic entanglement entropy
Reference 38
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:51.383136Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 99b40ee1-ff1a-403b-b9c1-2fe2e17411d4 · outbound
This paper cites an unresolved cited work.
Optimal symmetry operators Unresolved cited work
Reference 39
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:51.529148Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 07980ffd-8fbe-4380-b7bc-370f86928ac2 · outbound
This paper cites Entanglement of Purification in Random Tensor Networks.
Optimal symmetry operators Entanglement of Purification in Random Tensor Networks
Reference 40
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:51.635909Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 18724242-4f82-4a48-9734-75ba3db8458e · outbound
This paper cites R\'enyi Entanglement of Purification and Half R\'enyi Reflected Entropy in Free Scalar Theory.
Optimal symmetry operators R\'enyi Entanglement of Purification and Half R\'enyi Reflected Entropy in Free Scalar Theory
Reference 41
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:51.743890Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cb1ced76-5ea0-46e2-94f4-f4c4274af6f8 · outbound
This paper cites A canonical purification for the entanglement wedge cross-section.
Optimal symmetry operators A canonical purification for the entanglement wedge cross-section
Reference 42
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:51.914015Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a4b7ac57-93b7-4c1d-bc95-1a272447c2e8 · outbound
This paper cites Holographic Entanglement of Purification from Conformal Field Theories.
Optimal symmetry operators Holographic Entanglement of Purification from Conformal Field Theories
Reference 43
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:52.072208Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a74610db-920c-427a-b373-b621f19dc886 · outbound
This paper cites Towards Entanglement of Purification for Conformal Field Theories.
Optimal symmetry operators Towards Entanglement of Purification for Conformal Field Theories
Reference 44
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:52.220259Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 30d082ba-e2b3-4f15-b182-ba2830ae7037 · outbound
This paper cites Alternative to purification in conformal field theory,.
Optimal symmetry operators Alternative to purification in conformal field theory,
Reference 45
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:52.368253Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 63bf6224-3b15-4766-9cc3-f15d76f7785e · outbound
This paper cites Realization of "ER=EPR".
Reference 46
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:52.495490Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4ce8fe70-4704-4607-b849-2ba5e71a4772 · outbound
This paper cites Entanglement entropy in free quantum field theory.
Optimal symmetry operators Entanglement entropy in free quantum field theory
Reference 47
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:52.557601Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b5a0660d-818d-40de-a5dd-8d933d06cf8d · outbound
This paper cites Nonunitary bogoliubov transformations and extension of Wick’s theorem,.
Optimal symmetry operators Nonunitary bogoliubov transformations and extension of Wick’s theorem,
Reference 48
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:52.621541Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.