Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T20:33:55.384891Z
Paper Citation Record · LEDGER
As of 8 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 1 inbound Pith citation observation for arXiv:2502.09796.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T20:33:55.384891Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-07T20:33:55.242999Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-07T20:33:55.724811Z
58 of 58 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 434fb35e-04d3-4193-b3d8-207db8294270 · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Unresolved cited work
Reference 1
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.
Observation 860e4b75-76de-4a0d-a2c4-40f439c0074a · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Unresolved cited work
Reference 2
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.
Observation ecdfd737-ab4c-48ab-80e0-2b2b60bb238d · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Conclusion 10 Acknowledgments 10 A
Reference 3
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.
Observation bc2c63d3-8a7a-40b6-853a-bc8ebbd295cc · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Unresolved cited work
Reference 4
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.
Observation 4d23972f-8794-409c-b096-f8160c23195a · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Unresolved cited work
Reference 5
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.
Observation a87516bf-768c-4130-95bb-e3258c14f96b · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory
Reference 6
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.
Observation b74230be-ed42-4141-9107-d56c0217e4ae · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory For the profile of the test function f2, we choose f2(t, x)= ⎧⎪⎪⎨⎪⎪⎩ e− 1 x2 −t2 e − 1 a2 −(x−b)2 −t2 e−(x−b)2 , (x− b)2+ t2 ≤ a2, 0, elsewhere
Reference 7
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.
Observation 7cbeffa4-d92b-4234-8b5e-a325850f5a0d · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Unresolved cited work
Reference 8
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.
Observation 439d0c42-ed49-4a29-8bc7-f6fe2a616fbc · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory It is defined as f4(t, x)= ⎧⎪⎪⎨⎪⎪⎩ e− 1 x2 −t2 e − 1 ((x2 −t2 )−β2 )((β+d)2 −(x2 −t2 )) e−(x−b)2 e−t2 , (β+ d)2 ≥ x2− t2 ≥ β2 , x ≥ ∣t∣ , 0, elsewhere
Reference 9
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.
Observation 4ce1bc54-4093-428f-9df0-777ba4e277ed · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory The field operators satisfy the canonical commutation relations: [ak, a† q]= 2π 2ωk δ(k− q), (A2) [ak, aq]= [a† k, a† q]= 0
Reference 10
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.
Observation 08cf4da4-22ca-4b97-917d-e6bb8d68a3fe · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory These are defined as: ∆P J(f, g)= ∫ d2xd2yf(x)∆P J(x− y)g(y) , H(f, g)= ∫ d2xd2yf(x)H(x− y)g(y)
Reference 11
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.
Observation 8ec52a2c-8b4d-49b2-b7a8-ae3e2969abde · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory In particular, the Pauli-Jordan distri- bution, ∆ P J(x), plays a fundamental role in encoding relativistic causality, as it vanishes outside the light cone
Reference 12
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.
Observation 3eaac08c-c1fa-4654-88de-9d9a75505476 · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Entanglement entropy: holography and renormalization group
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b023fe99-5c31-4940-a67d-92b348627f76 · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Geometric and Renormalized Entropy in Conformal Field Theory
Reference 14
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Unavailable: canonical work link unavailable.
Observation 0042a03c-0c0e-4ba4-af1c-109e956dbdee · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Entanglement Entropy and Quantum Field Theory
Reference 15
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Unavailable: canonical work link unavailable.
Observation 6d7de560-5e79-4e2d-9d1b-140a6bebc468 · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Entanglement entropy and conformal field theory
Reference 16
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Unavailable: canonical work link unavailable.
Observation 1a8b9ebc-653f-42e9-9200-a985b0b4bd43 · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Lectures on entanglement in quantum field theory
Reference 17
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Unavailable: canonical work link unavailable.
Observation c150c08a-a016-44d5-b486-84c360f3059c · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Dynamics of entanglement in expanding quantum fields
Reference 18
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Observation 5c7750d4-4f6f-4d15-83d1-4670a129cf78 · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Relative Entropy and Mutual Information in Gaussian Statistical Field Theory
Reference 19
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Unavailable: canonical work link unavailable.
Observation 9a7f784b-863f-4599-880c-962d3c4b7c16 · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Entanglement of Harmonic Systems in Squeezed States
Reference 20
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Unavailable: canonical work link unavailable.
Observation 7ab81136-7452-4ad7-9635-620e58ab7e57 · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory State-Dependent Divergences in the Entanglement Entropy
Reference 21
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Unavailable: canonical work link unavailable.
Observation d855f972-3a0c-421a-959a-9e50460fcae8 · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Finite Entanglement Entropy in Asymptotically Safe Quantum Gravity
Reference 22
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.
Observation 8e06a13c-0a1d-4fad-a82f-12ad34400285 · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Hiai and D
Reference 23
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.
Observation 4bb38e91-0d2c-406e-b203-0419f55a861c · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Relative entropy for coherent states in chiral CFT
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 64559fc9-778b-401d-b723-58c6ca567a4e · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Entropy for spherically symmetric, dynamical black holes from the relative entropy between coherent states of a scalar quantum field
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a738bb37-5136-44f6-bf28-7d770c8fad77 · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Relative entropy and curved spacetimes
Reference 26
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.
Observation 6db9b00f-5484-46f1-8776-6a99e3206569 · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Relative Entropy of Fermion Excitation States on the CAR Algebra
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c7107098-570c-43be-82d2-7f8bd5378088 · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Relative entropy of an interval for a massless boson at finite temperature
Reference 28
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.
Observation 96cb3b79-6c01-4331-94bb-e11e2867e231 · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Thermodynamics from relative entropy
Reference 29
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.
Observation 53ae285e-660d-411d-b6a7-0f1100ab1844 · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Second law of thermodynamics for relativistic fluids formulated with relative entropy
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a4160066-7b4c-4717-ac55-02a0fe157c90 · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory The Gravity Duals of Modular Hamiltonians
Reference 31
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Unavailable: canonical work link unavailable.
Observation a5401d3e-d431-4244-9bf2-f624b361bbbd · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Relative entropy equals bulk relative entropy
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7fbd9d91-d2eb-4542-a0bb-092c85768a34 · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Spacetime Fluctuations in AdS/CFT
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cfa083b5-8996-4d42-a054-1191159f9b0a · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Gravity Dual of Connes Cocycle Flow
Reference 34
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.
Observation 153284f9-26a3-4d40-a3ee-a3e99a99d261 · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Tomita, Fifth Functional Analysis Sympos (Tˆ ohoku Univ., Sendai, 1967), Math
Reference 35
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.
Observation 84779360-0d81-42d0-aeed-3d49dbefa512 · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Takesaki, Tomita’s Theory of Modular Hilbert Algebras and its Applications , Lecture Notes in Mathematics (Springer- Verlag, 1970)
Reference 36
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.
Observation 098a13fa-b336-4157-87b1-df6f789cbb67 · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Araki, Publ
Reference 37
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.
Observation 2dd7d9c9-9a75-4064-abc9-6c2e9209c42b · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Uhlmann, Commun
Reference 38
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.
Observation 15d0c92f-3ea2-48b6-ba19-206d5f82b505 · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Notes on Some Entanglement Properties of Quantum Field Theory
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 005b7764-0cbc-4dc1-be13-fe430f60a1a1 · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Modular Hamiltonians on the null plane and the Markov property of the vacuum state
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bf97acff-a4e4-4f92-8d2a-ae196ce5326c · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory News vs Information
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation df136323-4aca-4118-ae32-297d699fa6eb · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Relative entropy for coherent states from Araki formula
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6b9b35f3-e40e-4569-9de6-b115d4d335fb · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Entropy of Coherent Excitations
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 43a208f4-4d29-475a-9efa-8a2ac3864cee · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Modular operator for null plane algebras in free fields
Reference 44
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Unavailable: canonical work link unavailable.
Observation 502c3740-5b15-4e83-9571-f303318d595e · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory The entropic $g$-theorem in general spacetime dimension
Reference 45
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Unavailable: canonical work link unavailable.
Observation 8f3e6c25-34a9-4f09-a57f-8ec75ff835ed · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Entropy-area law and temperature of de Sitter horizons from modular theory
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cfb24aca-1b17-475e-b9a5-2946f258c017 · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Relative Entropy in de Sitter is a Noether Charge
Reference 47
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Observation 88e51f7d-3349-473c-ba78-a01fa91fc167 · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Entanglement in $(1+1)$-dimensional Free Scalar Field Theory: Tiptoeing between Continuum and Discrete Formulations
Reference 48
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Unavailable: canonical work link unavailable.
Observation ff775c77-fe29-40e2-86e7-16fe5aa0eda5 · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Quantum information and the C-theorem in de Sitter
Reference 49
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Unavailable: canonical work link unavailable.
Observation 88c5dddd-026f-4f95-8c12-039018a38ef6 · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory An entropy bound due to symmetries
Reference 50
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.
Observation 627e8f87-88cc-4d3a-867d-33436d493bd7 · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory The information in a wave
Reference 51
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Unavailable: canonical work link unavailable.
Observation 4d755da3-c13d-4bbd-a063-63436e33f4f5 · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Petz-R\'enyi relative entropy in QFT from modular theory
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 47a443e8-7077-46a5-ba33-e3c869ab270e · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Unresolved cited work
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8ceb23b2-1afb-48f2-a453-3650ff9420c7 · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Investigation of the Bell-CHSH inequality in diamond regions
Reference 54
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Unavailable: canonical work link unavailable.
Observation e04f8a47-78e0-4996-8796-79821e1259b3 · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Bell and Mermin inequalities in Quantum Field Theory from vacuum projectors and Weyl operators
Reference 55
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ee345ded-32fa-48f4-adc0-c257951c2f99 · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Coleman, Physical Review D 11, 2088 (1975)
Reference 56
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.
Observation ce7c6e83-5643-4470-89fc-9791df41df8a · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Thermal bosonisation in the sine-Gordon and massive Thirring models
Reference 57
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.
Observation e26ecc15-34ee-480e-a580-252d1b86502c · outbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory Haag, Local quantum physics: Fields, particles, algebras (1992)
Reference 58
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.
Observation a87516bf-768c-4130-95bb-e3258c14f96b · inbound
A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory
Reference 6
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.