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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 2026-08-07T06:34:17.273281+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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Source: cited_works

Reference resolution

38 of 38 outbound references displayed

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  • verified fuzzy8
  • unresolved26
  • parse uncertain0
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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:a9368fcb0f8f93a0d1df12982472d4c37e33ca564b00597464db8dda5743dad5

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:eff996a0c5f6fe90660e220956cfe8ecc53cdec23130bc6401f69106d30b6116

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=sha256:006bf476408e10c081ae4a9e2ceb54345d6891b160c25c023b727d1729a6a259

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=sha256:6687b7a4511412bcd5745741e9697cd5e581e6fef53a3e2a194fa08aca7a4980

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:e1ac5f5d8f0cb03d765c16537d509f4274e21ceccce1ff817a1e34f25c13281b

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=sha256:51ae88378b75cd42e2e0f41559f02eaf104a2d46a94ecc1287250db166054ee1

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:ace334cd76008e513f51e2076189912daf0b39b842b0243ddc549bc5dc125e18

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=sha256:5532feae8b13a17d146404f388108dc68a2ee353513f6bf14e1a3a854253f885

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=sha256:894458606d8c13ce9a339c66bc0bc1af9ba31aad6485075e1689660665abcd36

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:e914a08273787f4fe75dd328a4826938acfd6a3f3cd4bf135c6fdf12e8f13cba

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=sha256:87e40eb76103b1451f9e684e093671269da7afca94a4a76462167f33cd0c5f01

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T18:52:54.641378Z digest=sha256:9aabff9c8218f7ceb57a42fee90f08b6172a4b13aec887d7a4eef17f13405599

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=sha256:9c8e216253033cfa41cdb3e3a5866da7e048281ff77f18eb8d43e0d1fe824274

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=sha256:6f7c64589fdeb97588e6b58ad8b0120f702fa4c05e06509a8a10401bfa9d6cc0

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=sha256:0a444aba3be3d066859c60a52ebc34b82ea175912a99af995de60dcecb730134

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=sha256:8c59687da279a787c3e46c4f8d5eab7cc27526924420e09c4446d2a8f7986f82

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=sha256:66b5207ee877e2719a78b99955f4e44afa750373b7abb64a183191dd341da0ee

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=sha256:1e4ff03120419b61500ee09e6dae26a7fc4926f1fcac67c5d29ea185d3f348bf

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:d536f4d717f9499d2528834321cfb06a337db2dddb35ab6cbc379ec90bb1e547

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T18:52:54.672022Z digest=sha256:8467e2809af96852a8c06a036af69a6bb7034d82c6af4f660c12a057368587cb

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=sha256:13eba50c9fa2cf71d27aeaf8655e14dd01c163c310e91afb4a867642c5e0bda9

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=sha256:315c6624db9eda6cdfb4677ade15128fab57240df319163d4cce5eb79d4eaa81

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:adf3459c7fe8895eceb8c38ee44713e3e70696af26c6f7a1772b4050d9c25d7d

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

This paper cites an unresolved cited work.

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:d3f3ee0754cb5759a828045ea6483fb4799a3eae8a094d7c2340011359d54c5d

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

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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:f4aa0f8334e6d37a5748609845c949e662c8c48d943e7d9909e70b0989df9348

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:d799c0f7e027fec7c5293f4eb77954f070b3d1eb05682d2731ab751aaddae6f6

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=sha256:5bb41d98cd6105dccc7671765d1c7648b37ce49629421a3b5fcee3af9f438bdb

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=sha256:33f71a5085238610950821ec19ec090cabc431b086da25d67d32668dc22f7c6a

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T18:52:54.709571Z digest=sha256:04a496fc81bc84fb3aa2ad69672e6091abf88df21e8b7b999fed7085e30cd87a

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:f13ff14b896a78570a6a6160f75cdfc0358d44589b8f79857ef98228030028d5

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T18:52:54.717804Z digest=sha256:4b23fc714578ce8980d112754a3d5ec4b21432ab0f0391a7b66da77c4c02de86

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:d4a24cce28e397c47de86221ad9b651c3bc6fb7cba02b6e02676e2cde69705ef

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:eb7b80fb61cb251be84f1cb856d6d52860a47defc02cec5c78c7b2637034fa23

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=sha256:0582e71b1ab10684b2c2eef313b39c440e5439412b51a579ec98f73b1adf69a5

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:e51490e59ed65b4f3ba0c67b77e251fd0ffc687ac8703497d6627f5a0d4a4b66

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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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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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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source=pdf_text observed=2026-08-07T18:52:54.741847Z digest=sha256:a1013b6a4475c7762bfc51434e3404a538d8065c7820a670807fd6b752038c1d

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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source=pdf_text observed=2026-08-07T18:52:54.745486Z digest=sha256:16a754867aa01b9fcebce5c70c89e6a5cb85f4c3c807699c4c749a862162967b

Pith citing papers

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