Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T13:46:08.831541Z
Paper Citation Record · LEDGER
A mathematical analysis of the discretized IPT-DMFT equations
As of 19 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2505.21287.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
41 of 41 outbound references displayed
- verified exact1
- verified fuzzy28
- unresolved12
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
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
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T13:46:05.022684Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:46:13.342773Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
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
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T13:46:05.200708Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e187ccae-0334-40ea-8205-90b3f12da8ee · outbound
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:46:13.236826Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:46:13.113532Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:46:13.027050Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:46:12.904967Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:46:12.756977Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:46:12.655907Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 13406eee-fc95-46b0-bae9-b116375d6388 · outbound
This paper cites Rozenberg.
A mathematical analysis of the discretized IPT-DMFT equations Rozenberg
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:46:12.541115Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:46:12.424683Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
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
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T13:46:05.929714Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e02d28a5-29a5-4e67-82b8-a9b847fef3b7 · outbound
This paper cites an unresolved cited work.
A mathematical analysis of the discretized IPT-DMFT equations Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:46:12.335860Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:46:12.154186Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 92137654-2635-4a5b-bbdd-d907963edf95 · outbound
This paper cites Gutzwiller.
A mathematical analysis of the discretized IPT-DMFT equations Gutzwiller
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:46:12.101902Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:46:12.034909Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:46:11.925308Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:46:11.834324Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
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
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:46:11.735950Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:46:11.637869Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:46:11.583295Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
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
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:46:11.479116Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 83dcda65-307d-416a-abe2-77c959e0fa45 · outbound
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:46:11.367783Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:46:11.249224Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:46:11.142793Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:46:11.038687Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:46:10.914530Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:46:10.859657Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:46:10.804816Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
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
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:46:10.742335Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:46:10.671100Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
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
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:46:10.624839Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
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
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:46:10.449713Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
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 2026-08-19T06:32:44.657259+00:00.
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 2026-08-19T06:32:44.657259+00:00.
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 2026-08-19T06:32:44.657259+00:00.
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 2026-08-19T06:32:44.657259+00:00.
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 2026-08-19T06:32:44.657259+00:00.
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 2026-08-19T06:32:44.657259+00:00.
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 2026-08-19T06:32:44.657259+00:00.
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 2026-08-19T06:32:44.657259+00:00.
Pith citing papers
No inbound Pith citation observations are available.