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Paper Citation Record · LEDGER

A mathematical analysis of the discretized IPT-DMFT equations

As of 7 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2505.21287.

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pith.paper-citation-record.v1
2505.21287 v1

Coverage vector

measured 41 of 41 reference resolution

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Reference resolution

41 of 41 outbound references displayed

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Outbound references

Observation a6029d5c-e087-4a51-9fbf-3485863c114c · outbound

This paper cites Complexity of quantum impurity problems.

A mathematical analysis of the discretized IPT-DMFT equations Complexity of quantum impurity problems

Reference 1

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Observation f6823208-98c1-434c-9482-207202b73c46 · outbound

This paper cites HomotopyContinuation.jl: A Package for Homotopy Continuation in Julia.

A mathematical analysis of the discretized IPT-DMFT equations HomotopyContinuation.jl: A Package for Homotopy Continuation in Julia

Reference 2

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Observation 3e8932cc-a805-41f3-9941-d11d353c1dbb · outbound

This paper cites Springer Science & Business Media, 2011.

A mathematical analysis of the discretized IPT-DMFT equations Springer Science & Business Media, 2011

Reference 3

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This paper cites A mathematical analysis of the GW0 method for computing electronic excited energies of molecules.Reviews in Mathematical Physics, 28(04):1650008, 2016.

A mathematical analysis of the discretized IPT-DMFT equations A mathematical analysis of the GW0 method for computing electronic excited energies of molecules.Reviews in Mathematical Physics, 28(04):1650008, 2016

Reference 4

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Observation b0b06835-417a-49d7-ad3b-abaacd2c830d · outbound

This paper cites A mathematical analysis of IPT-DMFT, June.

A mathematical analysis of the discretized IPT-DMFT equations A mathematical analysis of IPT-DMFT, June

Reference 5

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Observation 709f3f21-217b-415d-a2ce-e3e5924267eb · outbound

This paper cites Interpolation by pick functions.Monotone Matrix Functions and Analytic Continuation, pages 117–127, 1974.

A mathematical analysis of the discretized IPT-DMFT equations Interpolation by pick functions.Monotone Matrix Functions and Analytic Continuation, pages 117–127, 1974

Reference 6

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Observation 2070afe0-9672-4f16-a3fa-d09208e4391a · outbound

This paper cites Nevanlinna Analytical Continuation.Physical Review Letters, 126(5):056402, February 2021.

A mathematical analysis of the discretized IPT-DMFT equations Nevanlinna Analytical Continuation.Physical Review Letters, 126(5):056402, February 2021

Reference 7

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Observation 2f9a692e-c12e-4f8d-9765-a33ec2684281 · outbound

This paper cites Analytical continuation of matrix- valued functions: Carath´ eodory formalism.Physical Review B, 104(16):165111, 2021.

A mathematical analysis of the discretized IPT-DMFT equations Analytical continuation of matrix- valued functions: Carath´ eodory formalism.Physical Review B, 104(16):165111, 2021

Reference 8

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Observation 0cfe6653-c144-4372-80e4-5677bd0dbe82 · outbound

This paper cites Hubbard model in infinite dimensions.Physical Review B, 45(12):6479–6483, March 1992.

A mathematical analysis of the discretized IPT-DMFT equations Hubbard model in infinite dimensions.Physical Review B, 45(12):6479–6483, March 1992

Reference 9

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Observation 13406eee-fc95-46b0-bae9-b116375d6388 · outbound

This paper cites Rozenberg.

A mathematical analysis of the discretized IPT-DMFT equations Rozenberg

Reference 10

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Observation ba021f2b-5b08-41c2-930c-3ebc4e06c17d · outbound

This paper cites On Matrix–Valued Herglotz Functions.Mathematische Nachrichten, 218(1):61–138, 2000.

A mathematical analysis of the discretized IPT-DMFT equations On Matrix–Valued Herglotz Functions.Mathematische Nachrichten, 218(1):61–138, 2000

Reference 11

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Observation e464b9e0-a435-4620-b1e4-4fe4579782b7 · outbound

This paper cites Grayson and Michael E.

A mathematical analysis of the discretized IPT-DMFT equations Grayson and Michael E

Reference 12

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A mathematical analysis of the discretized IPT-DMFT equations Unresolved cited work

Reference 13

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Observation 8b93b6ec-1407-47fa-8447-1a77b558bfb6 · outbound

This paper cites Millis, Alexander I.

A mathematical analysis of the discretized IPT-DMFT equations Millis, Alexander I

Reference 14

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Observation 92137654-2635-4a5b-bbdd-d907963edf95 · outbound

This paper cites Gutzwiller.

A mathematical analysis of the discretized IPT-DMFT equations Gutzwiller

Reference 15

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Observation bdde594d-7df8-41bb-8a4f-feea232b60be · outbound

This paper cites Mott-Hubbard Metal-Insulator Transition in Paramagnetic V$ 2$O$ 3$: An LDA+DMFT (QMC) Study.Physical review letters, 86(23):5345, 2001.

A mathematical analysis of the discretized IPT-DMFT equations Mott-Hubbard Metal-Insulator Transition in Paramagnetic V$ 2$O$ 3$: An LDA+DMFT (QMC) Study.Physical review letters, 86(23):5345, 2001

Reference 16

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Observation 1c34b1d6-30a8-4a00-9a4e-28854b06e485 · outbound

This paper cites Robust analytic continuation of Green’s functions via projection, pole estimation, and semidefinite relaxation.Physical Review B, 107(7):075151, February.

A mathematical analysis of the discretized IPT-DMFT equations Robust analytic continuation of Green’s functions via projection, pole estimation, and semidefinite relaxation.Physical Review B, 107(7):075151, February

Reference 17

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Observation d6782b58-f738-4e95-afcc-686b73bf2ad8 · outbound

This paper cites Electron correlations in narrow energy bands.Proceedings of the Royal Society of London.

A mathematical analysis of the discretized IPT-DMFT equations Electron correlations in narrow energy bands.Proceedings of the Royal Society of London

Reference 18

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Observation 51714e92-3872-4f0d-9926-62cdce90b735 · outbound

This paper cites an unresolved cited work.

A mathematical analysis of the discretized IPT-DMFT equations Unresolved cited work

Reference 19

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Observation 3c4ba417-c8fb-4fbb-a82b-5bee6f5e36d9 · outbound

This paper cites Electron Correlation and Ferromagnetism of Transition Metals.Progress of Theoretical Physics, 30(3):275–289, 1963.

A mathematical analysis of the discretized IPT-DMFT equations Electron Correlation and Ferromagnetism of Transition Metals.Progress of Theoretical Physics, 30(3):275–289, 1963

Reference 20

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Observation 4198b56b-c558-4080-ba92-ba75c4d05009 · outbound

This paper cites Interaction-expansion inchworm Monte Carlo solver for lattice and impurity models.Physical Review B, 105(16):165133, 2022.

A mathematical analysis of the discretized IPT-DMFT equations Interaction-expansion inchworm Monte Carlo solver for lattice and impurity models.Physical Review B, 105(16):165133, 2022

Reference 21

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Observation 14eab768-c192-41ca-a22c-de18ee2bc60a · outbound

This paper cites an unresolved cited work.

A mathematical analysis of the discretized IPT-DMFT equations Unresolved cited work

Reference 22

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This paper cites Sparsity Pattern of the Self-energy for Classical and Quantum Impurity Problems.Annales Henri Poincar´ e, 21(7):2219–2257, 2020.

A mathematical analysis of the discretized IPT-DMFT equations Sparsity Pattern of the Self-energy for Classical and Quantum Impurity Problems.Annales Henri Poincar´ e, 21(7):2219–2257, 2020

Reference 23

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Observation 96098d6c-c6aa-41ad-bbe8-f94bbe842f49 · outbound

This paper cites Martin, Lucia Reining, and David M.

A mathematical analysis of the discretized IPT-DMFT equations Martin, Lucia Reining, and David M

Reference 24

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Observation e681d108-7d5e-474e-9fd6-e5af152fab2d · outbound

This paper cites Correlated Lattice Fermions in d =$\infty$Dimensions.

A mathematical analysis of the discretized IPT-DMFT equations Correlated Lattice Fermions in d =$\infty$Dimensions

Reference 25

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Observation bb418784-7766-478b-92bc-a1631becb21e · outbound

This paper cites Uber beschrankte Funktionen, die in gegeben Punkten vorgeschrieben Werte an- nehmen.Ann.

A mathematical analysis of the discretized IPT-DMFT equations Uber beschrankte Funktionen, die in gegeben Punkten vorgeschrieben Werte an- nehmen.Ann

Reference 26

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Observation c5aa42e4-bf9d-43ef-b3f8-e57ac9136d67 · outbound

This paper cites Interpolating Blaschke products solving Pick-Nevanlinna problems.Journal d’Analyse Mathematique, 62(1):199–224, December 1994.

A mathematical analysis of the discretized IPT-DMFT equations Interpolating Blaschke products solving Pick-Nevanlinna problems.Journal d’Analyse Mathematique, 62(1):199–224, December 1994

Reference 27

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Observation 70f67c5b-624c-4b95-9c73-867b786fdee2 · outbound

This paper cites The Nevanlinna-Pick Interpolation Problem.

A mathematical analysis of the discretized IPT-DMFT equations The Nevanlinna-Pick Interpolation Problem

Reference 28

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Observation 4e6ae7d9-4e94-40bc-bf24-6b47fc535447 · outbound

This paper cites TRIQS: A toolbox for research on interacting quantum systems.Computer Physics Communications, 196:398–415, 2015.

A mathematical analysis of the discretized IPT-DMFT equations TRIQS: A toolbox for research on interacting quantum systems.Computer Physics Communications, 196:398–415, 2015

Reference 29

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Observation c8f481d2-997b-487f-9f5f-eebed30a350a · outbound

This paper cites an unresolved cited work.

A mathematical analysis of the discretized IPT-DMFT equations Unresolved cited work

Reference 30

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Observation 773b5950-2b28-4493-b46b-cf8003981088 · outbound

This paper cites ¨Uber die Beschr¨ ankungen analytischer Funktionen, welche durch vorgegebene Funk- tionswerte bewirkt werden.Mathematische Annalen, 77(1):7–23, March 1915.

A mathematical analysis of the discretized IPT-DMFT equations ¨Uber die Beschr¨ ankungen analytischer Funktionen, welche durch vorgegebene Funk- tionswerte bewirkt werden.Mathematische Annalen, 77(1):7–23, March 1915

Reference 31

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Observation 9d1a13a0-94be-4e77-8b9e-049c1f31b6a2 · outbound

This paper cites an unresolved cited work.

A mathematical analysis of the discretized IPT-DMFT equations Unresolved cited work

Reference 32

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Observation 0b184d70-1725-4842-a460-bcbfbe777966 · outbound

This paper cites an unresolved cited work.

A mathematical analysis of the discretized IPT-DMFT equations Unresolved cited work

Reference 33

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 15ba2dfc-54d3-40c4-aee6-c08d8c901933 · outbound

This paper cites TRIQS/CTHYB: A continuous- time quantum Monte Carlo hybridisation expansion solver for quantum impurity problems.Computer Physics Communications, 200:274–284, 2016.

A mathematical analysis of the discretized IPT-DMFT equations TRIQS/CTHYB: A continuous- time quantum Monte Carlo hybridisation expansion solver for quantum impurity problems.Computer Physics Communications, 200:274–284, 2016

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:46:10.228759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:46:08.229835Z digest=sha256:f93235f2c2d22dc8c7f906bae7d7e11aab621b001cc1e2dc69876ff7f20aa6de

Observation 264d5f05-27e1-4320-867d-838abc0d9160 · outbound

This paper cites Shapiro.A Fixed-Point Farrago.

A mathematical analysis of the discretized IPT-DMFT equations Shapiro.A Fixed-Point Farrago

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:46:10.036969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:46:08.302345Z digest=sha256:90d78fc7771ef7f28a55dac1d5952afb8e4780ddbc89311bd66829976fe28818

Observation 7bd1cf30-9df3-44c6-92e8-217707f70f31 · outbound

This paper cites Extended dynamical mean-field theory and GW method.Physical Review B, 66(8):085120, 2002.

A mathematical analysis of the discretized IPT-DMFT equations Extended dynamical mean-field theory and GW method.Physical Review B, 66(8):085120, 2002

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:46:09.891543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:46:08.428347Z digest=sha256:c608564f1f150e544c73c06f390464bcb23b5903fee34ca07ec3a20a622308a3

Observation 97c5f16c-2679-44dc-9ca9-f5ca15597019 · outbound

This paper cites Doping a Wigner- Mott insulator: Exotic charge orders in transition metal dichalcogenide moir´ e heterobilayers.Physical Review Research, 5(4):043190, 2023.

A mathematical analysis of the discretized IPT-DMFT equations Doping a Wigner- Mott insulator: Exotic charge orders in transition metal dichalcogenide moir´ e heterobilayers.Physical Review Research, 5(4):043190, 2023

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:46:09.681214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:46:08.535326Z digest=sha256:8dfddae6af39eacfc759ec7e97323cc6707889d8c74e987e0a4a7addef2cf336

Observation 162a9273-3469-444b-8d16-e6157df300e8 · outbound

This paper cites an unresolved cited work.

A mathematical analysis of the discretized IPT-DMFT equations Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:46:09.543705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:46:08.648503Z digest=sha256:06e3e7be963af8aaf7822e44d0dd12af585b6883a04967509d38bb0ca9935710

Observation 03671795-af41-42e0-bbd5-d0e818bf63c9 · outbound

This paper cites an unresolved cited work.

A mathematical analysis of the discretized IPT-DMFT equations Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:46:09.301525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:46:08.740515Z digest=sha256:28c25a33d791aadc86ebd6ddaac5a063d72ee01468f0709a52cb68d8cb89a2a8

Observation 0e5fc92a-7a66-42cc-89a6-1c128d60766a · outbound

This paper cites an unresolved cited work.

A mathematical analysis of the discretized IPT-DMFT equations Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:46:09.192312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:46:08.831541Z digest=sha256:2e58bbf6bfa96203f3cd28be5b122f06ad61464416f67ac24045f0c92628b572

Observation 5e79c3fe-f4a9-41c6-bc85-bded1b1cf085 · outbound

This paper cites Robust analytic continuation of Green's functions via projection, pole estimation, and semidefinite relaxation.

A mathematical analysis of the discretized IPT-DMFT equations Robust analytic continuation of Green's functions via projection, pole estimation, and semidefinite relaxation

Reference 2023

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:46:09.036202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:46:06.372599Z digest=sha256:6c26dc73ca4736f344ca77111822aae984b9a87cd152823b992c9b9a5755a18a

Pith citing papers

No inbound Pith citation observations are available.