Paper Citation Record · LEDGER

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities

As of 13 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2607.23240.

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

pith.paper-citation-record.v1
2607.23240 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T00:09:27.717258Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

32 of 32 outbound references displayed

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External citation measurements

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Outbound references

Observation d94a2602-5e59-4276-b286-d43217a3a7a5 · outbound

This paper cites an unresolved cited work.

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T00:09:24.630707Z

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Observation 183bd59b-adb4-468b-9ade-c07666b426aa · outbound

This paper cites an unresolved cited work.

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T00:09:24.688029Z

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Observation 669807cd-b9d6-4761-80f2-985631577270 · outbound

This paper cites the integral reduces to a Gaussian form... and can be evaluated exactly.

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities the integral reduces to a Gaussian form... and can be evaluated exactly

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T00:09:24.728558Z

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Observation 0593e7a6-bd8b-45a4-a0a6-0dc2535228c8 · outbound

This paper cites Der stetige¨Ubergang von der Mikro- zur Makromechanik,.

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities Der stetige¨Ubergang von der Mikro- zur Makromechanik,

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T00:09:24.803636Z

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Observation 30467993-0434-41c1-a483-ac40a1daa8e3 · outbound

This paper cites Continuous-representation theory. I. Postulates of continuous-representation theory,.

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities Continuous-representation theory. I. Postulates of continuous-representation theory,

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T00:09:24.848306Z

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Observation eb39e438-69ec-4613-8e10-c6ca95f25633 · outbound

This paper cites Continuous-representation theory. II. Generalized relation between quantum and classical dynamics,.

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities Continuous-representation theory. II. Generalized relation between quantum and classical dynamics,

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T00:09:25.000177Z

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Observation a62bc7cc-1e86-4bae-83bd-1478c2367dd5 · outbound

This paper cites Perelomov,Generalized Coherent States and Their Applications(Springer-Verlag, Berlin, 1986).

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities Perelomov,Generalized Coherent States and Their Applications(Springer-Verlag, Berlin, 1986)

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T00:09:25.075866Z

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Observation 900332c9-62b6-410a-84bb-48fc8518d0e1 · outbound

This paper cites The Quantum Theory of Optical Coherence,.

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities The Quantum Theory of Optical Coherence,

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T00:09:25.152487Z

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Observation a10cea48-48c6-4b1e-b53f-1f7f9138a0e7 · outbound

This paper cites Equivalence of Semiclassical and Quantum Mechanical Descriptions of Statistical Light Beams,.

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities Equivalence of Semiclassical and Quantum Mechanical Descriptions of Statistical Light Beams,

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T00:09:25.210047Z

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Observation 1591ffca-6d7e-4d78-bfc2-06a13edeff8c · outbound

This paper cites On a Hilbert space of analytic functions and an associated integral transform,.

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities On a Hilbert space of analytic functions and an associated integral transform,

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T00:09:25.285743Z

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Observation 7cb6db60-8600-4b41-87cd-6822291fa6e4 · outbound

This paper cites A century of coherent states.

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities A century of coherent states

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T00:09:25.379495Z

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Observation 9de2a50c-12c6-46e1-bf6a-20a8e8f23031 · outbound

This paper cites Representation and transformation theory in quantum mechanics developed by the Dirac’s bra–ket formalism: In the literature of non-commutative integration into bra–ket operators,.

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities Representation and transformation theory in quantum mechanics developed by the Dirac’s bra–ket formalism: In the literature of non-commutative integration into bra–ket operators,

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T00:09:25.442100Z

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Observation 32e2e32a-e9a0-4c1e-be06-4dfcf47c876f · outbound

This paper cites A new way for evaluating some integration elements in quantum optics via the IWOP technique,.

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities A new way for evaluating some integration elements in quantum optics via the IWOP technique,

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T00:09:25.594100Z

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Observation 4cda28a9-7087-47c9-ad20-7bb158d01c0f · outbound

This paper cites New approach for deriving operator identities by alternately using normally, antinormally, and Weyl ordered integration technique,.

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities New approach for deriving operator identities by alternately using normally, antinormally, and Weyl ordered integration technique,

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T00:09:25.707807Z

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Observation 42bc0c3a-26fa-4f0a-a8fa-6c71d5fa98cf · outbound

This paper cites an unresolved cited work.

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T00:09:25.829358Z

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Observation 0a895929-a170-4ad6-acab-545dc3dfba24 · outbound

This paper cites an unresolved cited work.

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T00:09:25.913985Z

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Observation 679911b6-d85b-4710-8077-773af9116858 · outbound

This paper cites Coherent states for infinite homogeneous waveguide arrays: Cauchy coherent states forE(2),.

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities Coherent states for infinite homogeneous waveguide arrays: Cauchy coherent states forE(2),

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T00:09:26.008220Z

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Observation 43a750e2-7e5a-4eb9-baf0-b9d3496752d2 · outbound

This paper cites Coherent states on spheres,.

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities Coherent states on spheres,

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T00:09:26.122774Z

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Observation ffe8b826-2165-47d7-9c38-2f997903557f · outbound

This paper cites Comment on ‘Coherent states on spheres’ [J. Math. Phys.43, 1211 (2002)],.

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities Comment on ‘Coherent states on spheres’ [J. Math. Phys.43, 1211 (2002)],

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T00:09:26.250381Z

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Observation dba8c429-d5f1-4f0b-9544-d095231fa409 · outbound

This paper cites On completeness of coherent states in noncommutative spaces with generalised uncertainty principle,.

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities On completeness of coherent states in noncommutative spaces with generalised uncertainty principle,

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T00:09:26.392055Z

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Observation 598a7725-f6ec-4e4a-bd87-e0880d80b7ae · outbound

This paper cites Nonlinear canonical transformations in classical and quantum mechanics,.

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities Nonlinear canonical transformations in classical and quantum mechanics,

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T00:09:26.540554Z

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Observation a730f2a3-cee5-4dd5-92dd-6ccc222162e8 · outbound

This paper cites Some integral identities and inequalities for entire functions and their application to the coherent state transform,.

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities Some integral identities and inequalities for entire functions and their application to the coherent state transform,

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T00:09:26.690953Z

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Observation 420a4f9d-5710-4881-b260-a76704c18906 · outbound

This paper cites The Resolution of the Identity as a Generator of Exact Integral Identities: A Coherent-State Approach.

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities The Resolution of the Identity as a Generator of Exact Integral Identities: A Coherent-State Approach

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T00:09:26.835081Z

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Observation 3c2ef682-31c4-437c-8a48-e9bb46c82772 · outbound

This paper cites Observation of quantum state collapse and revival due to the single-photon Kerr effect,.

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities Observation of quantum state collapse and revival due to the single-photon Kerr effect,

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T00:09:26.966832Z

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Observation e17e5ce8-c080-43cc-a3a1-916322006f6d · outbound

This paper cites Engineering the quantum states of light in a Kerr-nonlinear resonator by two-photon driving,.

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities Engineering the quantum states of light in a Kerr-nonlinear resonator by two-photon driving,

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T00:09:27.123300Z

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Observation 108606ff-2955-4c1f-86ac-98a26c97bf3f · outbound

This paper cites Quantum computational advantage with a programmable photonic processor,.

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities Quantum computational advantage with a programmable photonic processor,

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T00:09:27.266313Z

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Observation 522a6360-7329-4858-83c2-92843f0db790 · outbound

This paper cites Diestel and J.

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities Diestel and J

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T00:09:27.370002Z

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Observation 8b612c52-b7b6-4462-b48b-5830d34d07e1 · outbound

This paper cites Hille and R.

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities Hille and R

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T00:09:27.455104Z

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Observation a552ec45-fb0b-47d1-bb8c-4d261054dd09 · outbound

This paper cites Two-photon coherent states of the radiation field,.

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities Two-photon coherent states of the radiation field,

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T00:09:27.516559Z

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Observation cd847394-aff8-4571-a620-04c7eb2e777e · outbound

This paper cites an unresolved cited work.

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-01T00:09:27.582129Z

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Observation 29e2239b-40e8-485a-b95d-013f92344746 · outbound

This paper cites New formalism for two-photon quantum optics. I. Quadrature phases and squeezed states,.

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities New formalism for two-photon quantum optics. I. Quadrature phases and squeezed states,

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T00:09:27.653336Z

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Observation b1e923a6-a316-4860-9aa8-c0843c775ec6 · outbound

This paper cites New formalism for two-photon quantum optics. II. Mathematical foundation and compact notation,.

Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities New formalism for two-photon quantum optics. II. Mathematical foundation and compact notation,

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-01T00:09:27.717258Z

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