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Paper Citation Record · LEDGER

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models

As of 8 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2608.06047.

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

pith.paper-citation-record.v1
2608.06047 v1

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T18:52:54.745486Z

measured 38 of 38 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

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Reference resolution

38 of 38 outbound references displayed

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  • verified fuzzy8
  • unresolved26
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External citation measurements

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Outbound references

Observation 8fbdbd83-fef6-4dbc-bbd7-0009db8f6697 · outbound

This paper cites an unresolved cited work.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models Unresolved cited work

Reference 1

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source=pdf_text observed=2026-08-07T18:52:54.593978Z digest=sha256:dd20471a6adabf567a22e64641024383fb0f17a18ef6b31e267be4682d3f1ed4

Observation c7623509-23df-47b7-98e6-1f20985d7d44 · outbound

This paper cites Coleman,The fate of the false vacuum.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models Coleman,The fate of the false vacuum

Reference 2

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source=pdf_text observed=2026-08-07T18:52:54.598912Z digest=sha256:0e3b9a077e1bb280c1ca4729052acd37538ee334d6c2b98f6357432e6ced23ae

Observation fdc37d24-926c-4e2c-830f-61d04b243a9e · outbound

This paper cites Coleman,Aspects of Symmetry: Selected Erice Lectures.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models Coleman,Aspects of Symmetry: Selected Erice Lectures

Reference 3

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source=pdf_text observed=2026-08-07T18:52:54.603421Z digest=sha256:0644aa912574aeabe6c98361c539da9ba50c8dbc637db29d8987a1bf252f101b

Observation 2a48d484-4112-4474-8518-932729a94186 · outbound

This paper cites Multi-Instantons and Exact Results I: Conjectures, WKB Expansions, and Instanton Interactions.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models Multi-Instantons and Exact Results I: Conjectures, WKB Expansions, and Instanton Interactions

Reference 4

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source=pdf_text observed=2026-08-07T18:52:54.607468Z digest=sha256:a9bd183d6e95147f8eeb9811bd3332b170cc04022bcc403cd5878f7334c59aa9

Observation 3b69b1c1-26e2-4a6a-b198-a3f9c86ecc5b · outbound

This paper cites A New Look At The Path Integral Of Quantum Mechanics.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models A New Look At The Path Integral Of Quantum Mechanics

Reference 5

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source=pdf_text observed=2026-08-07T18:52:54.612082Z digest=sha256:9d149c241bbaf79b7ef23feaaa5183f85f12451aa474a6c65a954048453089aa

Observation 5f7f541a-f961-4b1e-b636-f21437fce6d7 · outbound

This paper cites On exact-WKB analysis, resurgent structure, and quantization conditions.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models On exact-WKB analysis, resurgent structure, and quantization conditions

Reference 6

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source=pdf_text observed=2026-08-07T18:52:54.616822Z digest=sha256:71dc8227611543687e3ceecd8ea775c7817498fe15b9b3430bc8035c9970acc3

Observation e589cb88-e85e-4083-b6e7-eadee9a8ab48 · outbound

This paper cites Exact-WKB, complete resurgent structure, and mixed anomaly in quantum mechanics on $S^1$.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models Exact-WKB, complete resurgent structure, and mixed anomaly in quantum mechanics on $S^1$

Reference 7

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source=pdf_text observed=2026-08-07T18:52:54.621305Z digest=sha256:c0828b4500f7e512be3543979138a7b60f773934e97e3fd8d3d3ff8070405de6

Observation 712035bf-b05f-4fad-9c52-b1740caa3796 · outbound

This paper cites Voros,The return of the quartic oscillator: The complex wkb method,Ann.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models Voros,The return of the quartic oscillator: The complex wkb method,Ann

Reference 8

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source=pdf_text observed=2026-08-07T18:52:54.625888Z digest=sha256:32981093e06c60c87f281ed2907f7402bd0d6ad71e1de34b8f9f93e323880fc3

Observation 87c5ee0a-14f7-4a17-81f5-2dba659c5ca7 · outbound

This paper cites an unresolved cited work.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models Unresolved cited work

Reference 9

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source=pdf_text observed=2026-08-07T18:52:54.629586Z digest=sha256:e310e50e06e500fc03ca033e11a2d5dcabc5ba4c11271a3cac3e086d2412bcc0

Observation 33f47092-ab3c-4180-81d0-beceb00f151b · outbound

This paper cites Dillinger, E.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models Dillinger, E

Reference 10

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source=pdf_text observed=2026-08-07T18:52:54.633552Z digest=sha256:0407e73ad831935c562daa230aedc188a682166ea2c55e090b47504ae1a42004

Observation 1eb5d367-808a-49e0-8322-15f41c4c3d26 · outbound

This paper cites Delabaere, H.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models Delabaere, H

Reference 11

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source=pdf_text observed=2026-08-07T18:52:54.637522Z digest=sha256:aac4ed3618d74b54fd3ddd19d1fcce0e34dec7f1bcff4610bdc1d58ba05b1993

Observation daaf872c-e04b-4ba3-83b2-e3af3541e1d5 · outbound

This paper cites Delabaere and F.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models Delabaere and F

Reference 12

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T18:52:54.641378Z digest=sha256:eda43dd97ac8a60c7fbd83152afa547c443e5d9a2554e88d44b4bc305fec87df

Observation 3b07e98d-410f-4683-8a04-9d4ea7f40b1e · outbound

This paper cites Quantum Hamilton-Jacobi Theory, Spectral Path Integrals and Exact-WKB Analysis.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models Quantum Hamilton-Jacobi Theory, Spectral Path Integrals and Exact-WKB Analysis

Reference 13

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source=pdf_text observed=2026-08-07T18:52:54.645325Z digest=sha256:252f971a96952822a91fcdd43ddd8007dcd95464706851c49a936ae890d9a512

Observation fa476e51-a3f1-4978-b375-fa0307f697c5 · outbound

This paper cites Anharmonic oscillators, the thermodynamic Bethe ansatz, and nonlinear integral equations.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models Anharmonic oscillators, the thermodynamic Bethe ansatz, and nonlinear integral equations

Reference 14

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source=pdf_text observed=2026-08-07T18:52:54.648854Z digest=sha256:7829d5219c0d02b4edc6f648066333e99531bc2314e9ccfd73e31ef78a701a5b

Observation 44eee67c-7634-4618-a042-96dc5e84b0de · outbound

This paper cites Spectral determinants for Schroedinger equation and Q-operators of Conformal Field Theory.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models Spectral determinants for Schroedinger equation and Q-operators of Conformal Field Theory

Reference 15

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source=pdf_text observed=2026-08-07T18:52:54.652813Z digest=sha256:d9ae05b7122a8417e3703aa42c4db9cfbc3725d67d5960ac7122e08e0abe5063

Observation 826a7f25-edb3-44ad-9963-331bfb8c5f86 · outbound

This paper cites TBA equations and resurgent Quantum Mechanics.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models TBA equations and resurgent Quantum Mechanics

Reference 16

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source=pdf_text observed=2026-08-07T18:52:54.656599Z digest=sha256:6c7dfd5a5b09dc989a4e1b97b5172746b289e4f2985638ca7f21866b532f5061

Observation 70bcf30a-7bf4-4d5d-97f9-f1fb0a45836a · outbound

This paper cites Ito and H.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models Ito and H

Reference 17

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source=pdf_text observed=2026-08-07T18:52:54.660129Z digest=sha256:31f7cb36ea93d6d6c0a894bb8e6352aeba9fd352c7526614af8a70b3856e7d37

Observation 35954961-3f9e-47bd-9d3b-a1901025d503 · outbound

This paper cites TBA Equations and Quantization Conditions.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models TBA Equations and Quantization Conditions

Reference 18

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source=pdf_text observed=2026-08-07T18:52:54.663644Z digest=sha256:ca3bb211fa5535b5b93bc5c54b467c17542ba6cb9a07b562fb3cb66188282518

Observation 75db4197-9f7c-4523-8235-7fcf7fd4fc3f · outbound

This paper cites Exact WKB Analysis and TBA Equations for the Stark Effect.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models Exact WKB Analysis and TBA Equations for the Stark Effect

Reference 19

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source=pdf_text observed=2026-08-07T18:52:54.667837Z digest=sha256:c3e7620782aaea30dd64bf6c461ca018258cb204b9c88b01d3d3daea23d68c75

Observation 037e85ed-f49b-4be3-89a3-2f16b3f723a8 · outbound

This paper cites New Approach to Thermal Bethe Ansatz.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models New Approach to Thermal Bethe Ansatz

Reference 20

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local_arxiv, observed 2026-08-07T18:52:55.142291Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T18:52:54.672022Z digest=sha256:b1543218c0e3eded1f853e2079ac693d48176f6f19e5b991e38c5a8f42122023

Observation 286660c4-fd89-4953-8598-b5faef9ef301 · outbound

This paper cites Integrable Structure of Conformal Field Theory II. Q-operator and DDV equation.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models Integrable Structure of Conformal Field Theory II. Q-operator and DDV equation

Reference 21

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source=pdf_text observed=2026-08-07T18:52:54.676435Z digest=sha256:7599344742456c4325792d9d23e262c42a65358a5fdd69051a9cd163cfa1755d

Observation ba3dca3d-b4ba-4f59-a8b4-9f360a777e9a · outbound

This paper cites On the relation between Stokes multipliers and the T-Q systems of conformal field theory.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models On the relation between Stokes multipliers and the T-Q systems of conformal field theory

Reference 22

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source=pdf_text observed=2026-08-07T18:52:54.680566Z digest=sha256:1af00743c615e363c5f730bf58a68731746b846a9dfb55e2b8a4a0f6c74075b1

Observation 63b57127-78e3-4034-a753-bc926f8f6d82 · outbound

This paper cites The ODE/IM Correspondence.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models The ODE/IM Correspondence

Reference 23

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source=pdf_text observed=2026-08-07T18:52:54.684736Z digest=sha256:e348f584b8bd540c72d44da5099958fb55b9a8f8b47d22c058a283c78bebd076

Observation db418362-e658-4cbf-a7af-c494f961252f · outbound

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Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models Unresolved cited work

Reference 24

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source=pdf_text observed=2026-08-07T18:52:54.688898Z digest=sha256:7afc3c0e6e507a88de7d8e5939b66e81a07c7c8b874f8a40e0585b99ca27567d

Observation 087d9d86-11f2-4f3e-be85-6ff48b8e4b0e · outbound

This paper cites an unresolved cited work.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models Unresolved cited work

Reference 25

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source=pdf_text observed=2026-08-07T18:52:54.693101Z digest=sha256:8a4630d069a7944bfadfb8c5d7c17258b57af05d4f8317539a16ccaa5249028e

Observation 1d263a36-734d-4a29-b378-609648c95def · outbound

This paper cites Path-integral approach to the Wigner-Kirkwood expansion.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models Path-integral approach to the Wigner-Kirkwood expansion

Reference 26

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source=pdf_text observed=2026-08-07T18:52:54.696792Z digest=sha256:6fadf8a5546ece1ee577fc7e57fda60987de9600338f129c76ada82c4872df31

Observation 0c938f3f-4ab6-4712-8a38-42aec92d7597 · outbound

This paper cites Voros,THE ZETA FUNCTION OF THE QUARTIC OSCILLATOR,Nucl.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models Voros,THE ZETA FUNCTION OF THE QUARTIC OSCILLATOR,Nucl

Reference 27

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source=pdf_text observed=2026-08-07T18:52:54.701521Z digest=sha256:09fbd80095682a8c7762aaaccb4d4cd5b77fb7b9d1d3052873ff91ecd0981694

Observation 27fd49c4-c291-4f44-aca4-95a3566c80c5 · outbound

This paper cites Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry

Reference 28

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source=pdf_text observed=2026-08-07T18:52:54.705240Z digest=sha256:707b46caa1fce5066bd1450f1f66aa41cf3f5763308c01213aabc14c498beb6c

Observation e2102d8e-92bf-4eaa-b765-1db52e0263db · outbound

This paper cites Beyond the WKB approximation in PT-symmetric quantum mechanics.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models Beyond the WKB approximation in PT-symmetric quantum mechanics

Reference 29

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verified exact
local_arxiv, observed 2026-08-07T18:52:55.064603Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T18:52:54.709571Z digest=sha256:7b6fc876812f0f617c7c678d2f2702f33eb10ffbb1457504c7321dc045218e2f

Observation 6f196875-58ef-4422-a8ea-8ca574595b4e · outbound

This paper cites Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics

Reference 30

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source=pdf_text observed=2026-08-07T18:52:54.713804Z digest=sha256:395647b1a48e767cf7b416e11428dbf5fa4d71fad4a22197afb12cfe692d329a

Observation 87188787-40d8-4c36-8550-d35907f394fa · outbound

This paper cites Some properties of eigenvalues and eigenfunctions of the cubic oscillator with imaginary coupling constant.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models Some properties of eigenvalues and eigenfunctions of the cubic oscillator with imaginary coupling constant

Reference 31

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verified exact
local_arxiv, observed 2026-08-07T18:52:55.033918Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T18:52:54.717804Z digest=sha256:56adc39f5e777646a369edb9c17d121ba424275d55df78766d16b6ec96a214bf

Observation 999a077a-3034-4b5f-ac8f-4a90e34b6b8f · outbound

This paper cites Spectral zeta functions of a 1D Schr\"odinger problem.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models Spectral zeta functions of a 1D Schr\"odinger problem

Reference 32

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source=pdf_text observed=2026-08-07T18:52:54.721829Z digest=sha256:2fb235f569c44aa2aaddb47b89e8fbe64ff39d4d6ec090d9dffe14ea07429bc2

Observation 4cb70454-2ffb-42bc-b9cf-4123e7d49043 · outbound

This paper cites Exact sum rules for spectral zeta functions of homogeneous 1D quantum oscillators, revisited.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models Exact sum rules for spectral zeta functions of homogeneous 1D quantum oscillators, revisited

Reference 33

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source=pdf_text observed=2026-08-07T18:52:54.726010Z digest=sha256:8809cabc68787842e43b9dc6fa78d812754c48078233f6a2bc17e5be0fda13b0

Observation 45764847-258d-4340-8892-40ba9c922447 · outbound

This paper cites Kamata,Exact Sum Rules and Zeta Generating Formulas from the ODE/IM correspondence, 2508.06366.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models Kamata,Exact Sum Rules and Zeta Generating Formulas from the ODE/IM correspondence, 2508.06366

Reference 34

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source=pdf_text observed=2026-08-07T18:52:54.729990Z digest=sha256:6d8bb43517a8e4acc1af5c71b85cfd0ed377be5a68e292e4538d579a56add118

Observation f8daa875-c869-4414-9f65-0eae4610e257 · outbound

This paper cites Y-System and Deformed Thermodynamic Bethe Ansatz.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models Y-System and Deformed Thermodynamic Bethe Ansatz

Reference 35

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source=pdf_text observed=2026-08-07T18:52:54.734200Z digest=sha256:3a378362469120a34d40da00b9bfd76ae67a9bc7809bc5f0c3005b7e8b05f1c9

Observation ce5d9f17-591c-4e5b-88e4-1e2d186572c9 · outbound

This paper cites $QQ$-system and non-linear integral equations for scattering amplitudes at strong coupling.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models $QQ$-system and non-linear integral equations for scattering amplitudes at strong coupling

Reference 36

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Observation 4ab8c4dd-26ee-46e2-8406-4d5a1c40e0fb · outbound

This paper cites Exact instanton transseries for quantum mechanics.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models Exact instanton transseries for quantum mechanics

Reference 37

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Observation 15a717ca-0258-4955-9001-0e4091516b38 · outbound

This paper cites Fioravanti, M.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models Fioravanti, M

Reference 38

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