Paper Citation Record · LEDGER

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations

As of 11 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2507.13351.

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

pith.paper-citation-record.v1
2507.13351 v1

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:30:57.772809Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

46 of 46 outbound references displayed

verified exact12
verified fuzzy25
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 05bc905a-0ffe-45e6-97c1-77b6e8468a7a · outbound

This paper cites The Stress-Energy Operator.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations The Stress-Energy Operator

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:30:59.056463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c1ea0459-32bb-4bcf-ab8c-0b7ad8afa4d5 · outbound

This paper cites Quantum Fields at Any Time.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Quantum Fields at Any Time

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:30:59.026825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 98a9de4a-321d-4ae9-b378-f9c41af79592 · outbound

This paper cites Functional Evolution of Free Quantum Fields.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Functional Evolution of Free Quantum Fields

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:30:58.884258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b418bf0a-1e8d-4c59-bba2-05bb228a129d · outbound

This paper cites A uniqueness criterion for the Fock quantization of scalar fields with time dependent mass.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations A uniqueness criterion for the Fock quantization of scalar fields with time dependent mass

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:30:58.705521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 01759fbe-31f9-4fc1-9913-0fc1c4ab174e · outbound

This paper cites Uniqueness of the Fock quantization of scalar fields under mode preserving canonical transformations varying in time.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Uniqueness of the Fock quantization of scalar fields under mode preserving canonical transformations varying in time

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:30:58.520611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 940863bc-0636-4111-a4ea-64a1e38522c2 · outbound

This paper cites Unitarity and ultraviolet regularity in cosmology.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Unitarity and ultraviolet regularity in cosmology

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T16:30:57.520780Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 58c21216-b37b-44db-b494-ab1b82f2f007 · outbound

This paper cites Bogoliubov transformation and Schr¨ odinger representation on curved space,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Bogoliubov transformation and Schr¨ odinger representation on curved space,

Reference 7

Resolution: verified exact; raw_fallback, observed 2026-08-06T16:30:58.337273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e125e14d-ea2b-4aa8-8a78-ed93c22c0323 · outbound

This paper cites Hadamard, Lectures on Cauchy’s problem in linear partial differential equations.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Hadamard, Lectures on Cauchy’s problem in linear partial differential equations

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:30:59.495925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8e15d5a9-43b4-4975-8f39-7ec4128a66a2 · outbound

This paper cites an unresolved cited work.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:30:59.479910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 27e9d80e-346b-4e5b-936b-f046c5a14b61 · outbound

This paper cites The Dynamics of General Relativity.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations The Dynamics of General Relativity

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T16:30:57.547213Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cce90b2c-5f97-40e0-9cc7-592b04d59396 · outbound

This paper cites Quantum Field Theory in Curved Spacetime (2nd Edition).

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Quantum Field Theory in Curved Spacetime (2nd Edition)

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T16:30:57.553449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00c64384-a541-459a-8eae-30c0e24a5894 · outbound

This paper cites Nonviolent unitarization: basic postulates to soft quantum structure of black holes.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Nonviolent unitarization: basic postulates to soft quantum structure of black holes

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T16:30:57.560309Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 040f07f7-4641-47f8-b291-53c0fa43c72e · outbound

This paper cites Schr\"odinger evolution of the Hawking state.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Schr\"odinger evolution of the Hawking state

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:30:58.052188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8f78511a-d2b2-4213-8790-b575fd48a6cf · outbound

This paper cites Quantum evolution of the Hawking state for black holes.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Quantum evolution of the Hawking state for black holes

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:30:58.016539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7c7972ea-b1ab-4ca9-a9b7-38163648bac8 · outbound

This paper cites Representations of the commutation relations,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Representations of the commutation relations,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:30:59.461826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation fba429a5-4d58-4144-8ca5-e4d154da9f77 · outbound

This paper cites Why Does Quantum Field Theory In Curved Spacetime Make Sense? And What Happens To The Algebra of Observables In The Thermodynamic Limit?.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Why Does Quantum Field Theory In Curved Spacetime Make Sense? And What Happens To The Algebra of Observables In The Thermodynamic Limit?

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T16:30:57.583603Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac0fa58f-ff02-4b05-b556-ea9e622f4949 · outbound

This paper cites Berndt, An introduction to symplectic geometry.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Berndt, An introduction to symplectic geometry

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:30:59.444320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2987ed20-91d7-48ae-a691-b9fa8d1e65a9 · outbound

This paper cites Quantum Fields in Curved Space-Times,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Quantum Fields in Curved Space-Times,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:30:59.428250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2948bb92-c67c-47e8-81ab-581f2628a7ae · outbound

This paper cites A curiosity concerning the role of coherent states in quantum field theory,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations A curiosity concerning the role of coherent states in quantum field theory,

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:30:59.412858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4e2eaf9a-7e01-45bb-abdf-f5951c0d1308 · outbound

This paper cites Bose Bogoliubov transformations,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Bose Bogoliubov transformations,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:30:59.397738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d44bdcf4-86be-4490-acf0-80a365bc3079 · outbound

This paper cites Recursive Construction of the Bosonic Bogoliubov Vacuum State,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Recursive Construction of the Bosonic Bogoliubov Vacuum State,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:30:59.380622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c84d6308-d5b0-4c31-85f2-b30dc6c8827f · outbound

This paper cites Existence of the S-matrix in quantum field theory in curved space-time,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Existence of the S-matrix in quantum field theory in curved space-time,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:30:59.362785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 43338569-8ef9-4b19-80f1-44ef099a7233 · outbound

This paper cites Linear Symmetries of Free Boson Fields,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Linear Symmetries of Free Boson Fields,

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:30:59.340611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4f3b6f9c-3808-4734-8282-c5417c7a6a23 · outbound

This paper cites On Quantum Field Theory in Gravitational Background,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations On Quantum Field Theory in Gravitational Background,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:30:59.324011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c53a3603-1d56-44f1-90c8-7d36668d577d · outbound

This paper cites Generally Covariant Quantum Field Theory and Scaling Limits,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Generally Covariant Quantum Field Theory and Scaling Limits,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:30:59.309200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 92fbf584-595d-46af-bb9a-516657deb160 · outbound

This paper cites On the Derivation of Hawking Radiation Associated With the Formation of a Black Hole,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations On the Derivation of Hawking Radiation Associated With the Formation of a Black Hole,

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:30:59.294482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation bb6c82a0-c017-4612-a800-2e377b9bea97 · outbound

This paper cites Micro-local approach to the Hadamard condition in quantum field theory on curved space-time,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Micro-local approach to the Hadamard condition in quantum field theory on curved space-time,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:30:59.279673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 24e33a45-06e3-4c17-b4a4-27fb45f3ce94 · outbound

This paper cites Weinberg, The quantum theory of fields , vol.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Weinberg, The quantum theory of fields , vol

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:30:59.264133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1abf3efe-faf4-4714-924a-faf9ef48c9b3 · outbound

This paper cites Hadamard renormalization of the stress-energy tensor for a quantized scalar field in a general spacetime of arbitrary dimension,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Hadamard renormalization of the stress-energy tensor for a quantized scalar field in a general spacetime of arbitrary dimension,

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:30:59.248566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 17c35e25-ff57-43fa-b54c-691411b132e4 · outbound

This paper cites Quantum Field Theory in Curved Spacetime.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Quantum Field Theory in Curved Spacetime

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-06T16:30:57.665176Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e46f8ff7-5737-46e3-b521-a48e6300b871 · outbound

This paper cites Can Locally Hadamard Quantum States Have Nonlocal Singularities?,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Can Locally Hadamard Quantum States Have Nonlocal Singularities?,

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:30:59.232101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3b34d55b-902f-4e8a-a314-ab9a66367a85 · outbound

This paper cites Radzikowski, The Hadamard Condition and Kay’s Conjecture in (axiomatic) Quantum Field Theory on Curved Space-Time.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Radzikowski, The Hadamard Condition and Kay’s Conjecture in (axiomatic) Quantum Field Theory on Curved Space-Time

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:30:59.216034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3ad34fbc-4a52-426f-af04-e996c44f3045 · outbound

This paper cites Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate Killing horizon,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate Killing horizon,

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:30:59.201678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f93a592f-313c-4450-80ae-efdb609b8ddb · outbound

This paper cites Singularity structure of the two-point function in quantum field theory in curved spacetime, II,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Singularity structure of the two-point function in quantum field theory in curved spacetime, II,

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:30:59.184335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1dd657f5-e6b4-4483-845c-104f6566c6db · outbound

This paper cites Singularity Structure of the Two Point Function in Quantum Field Theory in Curved Space-Time,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Singularity Structure of the Two Point Function in Quantum Field Theory in Curved Space-Time,

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:30:59.168435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 255c56b1-71c2-4443-b182-1477c5db91dc · outbound

This paper cites The Formulation of Quantum Field Theory in Curved Spacetime.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations The Formulation of Quantum Field Theory in Curved Spacetime

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:30:57.943826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0bff7523-f1a6-4e85-bf36-81c4fcae033a · outbound

This paper cites Parker and D.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Parker and D

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:30:59.151480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e4d3508e-7f94-457b-9cd0-7054647e72c6 · outbound

This paper cites Adiabatic invariant of the harmonic oscillator,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Adiabatic invariant of the harmonic oscillator,

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:30:59.135200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d11aaf83-16c8-44fc-b39a-5f57b0434bb8 · outbound

This paper cites Particle Creation by Black Holes,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Particle Creation by Black Holes,

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:30:59.112304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d75d9499-2bdd-409c-bf36-0681b5fc17b1 · outbound

This paper cites On Particle Creation by Black Holes,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations On Particle Creation by Black Holes,

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:30:59.095023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 41933a40-f03e-4865-97e4-5b1cfcb71366 · outbound

This paper cites Perturbative quantum evolution of the gravitational state and dressing in general backgrounds.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Perturbative quantum evolution of the gravitational state and dressing in general backgrounds

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-06T16:30:57.742154Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f95a9af-85c7-4a75-9521-ef991d96cc3b · outbound

This paper cites Schr\"odinger evolution of two-dimensional black holes.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Schr\"odinger evolution of two-dimensional black holes

Reference 42

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:30:57.900036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3e6a0eed-a2fa-47e4-977a-855d03b5e01b · outbound

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

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Complex Structures for Klein-Gordon Theory on Globally Hyperbolic Spacetimes

Reference 43

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:30:57.873003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 33a0298d-556d-4904-b718-beecbba5a7b2 · outbound

This paper cites Haag, Local quantum physics: Fields, particles, algebras.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Haag, Local quantum physics: Fields, particles, algebras

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:30:59.075093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e2234c63-3db7-477d-9ad5-bf389446c918 · outbound

This paper cites Diffeomorphism-invariant observables and their nonlocal algebra.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Diffeomorphism-invariant observables and their nonlocal algebra

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-06T16:30:57.766983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1d1d4fcd-668e-4d9d-a696-3d9c74afaeea · outbound

This paper cites The information paradox and the locality bound.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations The information paradox and the locality bound

Reference 46

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:30:57.827471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

No inbound Pith citation observations are available.