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Simultaneous approximation of multiple degenerate states using a single neural network quantum state

As of 16 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 0 inbound Pith citation observations for arXiv:2509.02658.

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pith.paper-citation-record.v1
2509.02658 v1

Coverage vector

measured 51 of 51 reference resolution

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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Reference resolution

51 of 51 outbound references displayed

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External citation measurements

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Outbound references

Observation cd2fe4de-b1f4-484a-9b7c-1cddbba281db · outbound

This paper cites Quantum Monte Carlo,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Quantum Monte Carlo,

Reference 1

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Observation 8930b0b1-d6bb-48d1-8f5a-93bbd38d2185 · outbound

This paper cites Quantum Monte Carlo simulations of solids,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Quantum Monte Carlo simulations of solids,

Reference 2

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Observation 4311d869-952b-4a7e-83ce-a62cca4cee0a · outbound

This paper cites Quantum Monte Carlo methods for nuclear physics.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Quantum Monte Carlo methods for nuclear physics

Reference 3

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Observation 651dfaef-59d3-4967-9eb3-1fdb05a0baf5 · outbound

This paper cites Quantum Monte Carlo Approaches for Correlated Systems,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Quantum Monte Carlo Approaches for Correlated Systems,

Reference 4

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Observation 385c893a-08a3-4715-baa4-0c306f810bbc · outbound

This paper cites A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States

Reference 5

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Observation 9fe0b261-b423-47d2-b697-330fb1891fd2 · outbound

This paper cites Mixed-State Dynamics in One-Dimensional Quantum Lattice Systems: A Time-Dependent Superoperator Renormalization Algorithm,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Mixed-State Dynamics in One-Dimensional Quantum Lattice Systems: A Time-Dependent Superoperator Renormalization Algorithm,

Reference 6

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Observation 1813e20d-df71-4e9d-a934-cb78717d726e · outbound

This paper cites Class of Highly Entangled Many-Body States that can be Efficiently Simulated,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Class of Highly Entangled Many-Body States that can be Efficiently Simulated,

Reference 7

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Observation 7600178b-8cbc-405a-b37c-e1144613fb52 · outbound

This paper cites Entanglement Renormalization,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Entanglement Renormalization,

Reference 8

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Observation 31cb7b21-862f-4571-8f94-1564cc169330 · outbound

This paper cites Classical simulation of quantum many-body systems with a tree tensor network,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Classical simulation of quantum many-body systems with a tree tensor network,

Reference 9

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Observation 6f2e30b4-4c34-4fff-a137-1b7ce7c0bc18 · outbound

This paper cites Multiscale Entanglement Renormalization Ansatz in Two Dimensions: Quantum Ising Model,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Multiscale Entanglement Renormalization Ansatz in Two Dimensions: Quantum Ising Model,

Reference 10

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Observation be353a13-a99f-49b2-b356-43cf68d029e2 · outbound

This paper cites Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions

Reference 11

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Observation 5209e072-6577-416b-b6b4-0d13dc198763 · outbound

This paper cites Matrix-product-groundstates for one-dimensional spin-1 quantum antiferromagnets.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Matrix-product-groundstates for one-dimensional spin-1 quantum antiferromagnets

Reference 12

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Observation 8808d130-771b-4b96-8b4f-70e8865c6aae · outbound

This paper cites The density-matrix renormalization group in the age of matrix product states,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state The density-matrix renormalization group in the age of matrix product states,

Reference 13

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Observation 612ec077-6303-4dd8-8270-69212b93c29b · outbound

This paper cites Density matrix formulation for quantum renormalization groups,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Density matrix formulation for quantum renormalization groups,

Reference 14

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This paper cites The density-matrix renormalization group,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state The density-matrix renormalization group,

Reference 15

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Observation 0ca8aa7e-6236-461b-94f0-29f0ac5a40e6 · outbound

This paper cites Solving the quantum many-body problem with artificial neural networks,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Solving the quantum many-body problem with artificial neural networks,

Reference 16

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Observation 8e02344d-7d20-431c-9779-73bf8c8097bf · outbound

This paper cites Neural tensor contractions and the expressive power of deep neural quantum states,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Neural tensor contractions and the expressive power of deep neural quantum states,

Reference 17

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Observation 5615976f-1902-4261-a626-a1d72461d336 · outbound

This paper cites Quantum Entanglement in Neural Network States,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Quantum Entanglement in Neural Network States,

Reference 18

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Observation 19b997f6-9aff-409d-9fa7-1cd4a99d0b0f · outbound

This paper cites Efficient representation of quantum many-body states with deep neural networks,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Efficient representation of quantum many-body states with deep neural networks,

Reference 19

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Observation 8232631e-62df-437e-9a3b-362bc544f745 · outbound

This paper cites Can neural quantum states learn volume-law ground states?.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Can neural quantum states learn volume-law ground states?

Reference 20

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Observation c8d683b1-80e6-4ba6-9e9b-7c88133b9276 · outbound

This paper cites Quantum Entanglement in Deep Learning Architectures,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Quantum Entanglement in Deep Learning Architectures,

Reference 21

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Observation 0a689b51-ad08-4249-bc0d-d92fb9b06588 · outbound

This paper cites Two-dimensional frustrated J1-J2 model studied with neural network quantum states,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Two-dimensional frustrated J1-J2 model studied with neural network quantum states,

Reference 22

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Observation 00e61784-0bf5-4c92-b110-a6caa62fbebb · outbound

This paper cites Gauge Invariant and Anyonic Symmetric Transformer and RNN Quantum States for Quantum Lattice Models.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Gauge Invariant and Anyonic Symmetric Transformer and RNN Quantum States for Quantum Lattice Models

Reference 23

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Observation d4138542-6d95-4880-b444-9e5e095fa492 · outbound

This paper cites Ab initio solution of the many-electron Schr¨ odinger equation with deep neural networks,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Ab initio solution of the many-electron Schr¨ odinger equation with deep neural networks,

Reference 24

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Observation 8a220dd0-b293-45c8-aeeb-e0bd079cca9e · outbound

This paper cites Deep-neural-network solution of the electronic Schr¨ odinger equation,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Deep-neural-network solution of the electronic Schr¨ odinger equation,

Reference 25

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Observation ef9257b2-5047-4d9c-8511-a8c42eec39fc · outbound

This paper cites Gauge equivariant neural networks for quantum lattice gauge theories.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Gauge equivariant neural networks for quantum lattice gauge theories

Reference 26

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Observation f7ca0b51-4d57-46ae-b310-25ea387a6e57 · outbound

This paper cites Variational Neural-Network Ansatz for Continuum Quantum Field Theory.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Variational Neural-Network Ansatz for Continuum Quantum Field Theory

Reference 27

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Observation 7bc53bbf-c574-4ef0-8cf4-8d488f5f784f · outbound

This paper cites Accurate neural quantum states for interacting lattice bosons.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Accurate neural quantum states for interacting lattice bosons

Reference 28

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Observation d53b0bfe-7d39-4c7a-8f28-6ec76a96d170 · outbound

This paper cites The sign problem in quantum Monte Carlo simulations,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state The sign problem in quantum Monte Carlo simulations,

Reference 29

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Observation 3dbb8fb8-9484-4bc0-bacb-debc8dfec7d9 · outbound

This paper cites Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations

Reference 30

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Observation af97578b-747a-4f2a-80a4-74546dd67e6b · outbound

This paper cites Towards quantum gravity with neural networks: Solving the quantum Hamilton constraint of U(1) BF theory.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Towards quantum gravity with neural networks: Solving the quantum Hamilton constraint of U(1) BF theory

Reference 31

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Observation 963cc28c-6dee-46c3-8b70-70aeb285e9f0 · outbound

This paper cites Towards quantum gravity with neural networks: Solving quantum Hamilton constraints of 3d Euclidean gravity in the weak coupling limit.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Towards quantum gravity with neural networks: Solving quantum Hamilton constraints of 3d Euclidean gravity in the weak coupling limit

Reference 32

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Observation a3b60f79-c2d2-47a3-a0b3-7234855e5c22 · outbound

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Simultaneous approximation of multiple degenerate states using a single neural network quantum state Variational Quantum Computation of Excited States

Reference 33

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This paper cites Excited states in variational Monte Carlo using a penalty method,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Excited states in variational Monte Carlo using a penalty method,

Reference 34

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Observation a4757932-7939-428a-8fdf-dadf726cccc9 · outbound

This paper cites Accurate Computation of Quantum Excited States with Neural Networks.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Accurate Computation of Quantum Excited States with Neural Networks

Reference 35

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Observation b805e77b-6b7b-4909-a8ee-e1ff08289c25 · outbound

This paper cites Learning eigenstates of quantum many-body Hamiltonians within the symmetric subspaces using neural network quantum states,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Learning eigenstates of quantum many-body Hamiltonians within the symmetric subspaces using neural network quantum states,

Reference 36

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Observation a2995467-d1cf-4aab-99ec-a80f61303fbe · outbound

This paper cites Symmetries and Many-Body Excita- tions with Neural-Network Quantum States,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Symmetries and Many-Body Excita- tions with Neural-Network Quantum States,

Reference 37

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Observation a296aac9-3c78-4bf0-a485-3918a8c120c7 · outbound

This paper cites Ensemble variational Monte Carlo for optimization of correlated excited state wave functions,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Ensemble variational Monte Carlo for optimization of correlated excited state wave functions,

Reference 38

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source=pdf_text observed=2026-08-15T16:44:05.069458Z digest=sha256:eb14243b32bdaff542a3d3338a52f4763e62f80d8ec18628d471829bdc816901

Observation 0b80d3af-dfa9-4267-802a-add81e85b758 · outbound

This paper cites Absorption Spectrum of the Green Fluorescent Protein Chromophore: A Difficult Case for ab Initio Methods?,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Absorption Spectrum of the Green Fluorescent Protein Chromophore: A Difficult Case for ab Initio Methods?,

Reference 39

Resolution
verified exact
doi, observed 2026-08-15T16:44:05.266388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T16:44:05.073909Z digest=sha256:0e46652b439b6ab77208c1e7bb762180234105be8dab210a08f70ef055574cb4

Observation e4453fb6-43fe-4011-996d-34ecf2114fd7 · outbound

This paper cites Efficient PINNs via multi- 24 head unimodular regularization of the solutions space,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Efficient PINNs via multi- 24 head unimodular regularization of the solutions space,

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-15T16:44:05.078531Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:44:05.078531Z digest=sha256:131b426b5bfc8903a8fe4055040efd87cc0eccb236fa99efd798e8c51b6a45a0

Observation 529f1282-f510-4932-88cf-0071d3c75421 · outbound

This paper cites Transfer Learning with Physics-Informed Neural Networks for Efficient Simulation of Branched Flows.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Transfer Learning with Physics-Informed Neural Networks for Efficient Simulation of Branched Flows

Reference 41

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no resolver link, observed 2026-08-15T16:44:05.083240Z

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source=pdf_text observed=2026-08-15T16:44:05.083240Z digest=sha256:34d1e04d05b6dc762be8eeba14b4fe82cec37fa01812e5a5b8caeec6674f4453

Observation 8fb1f634-aed3-44c9-b35d-228b66617c83 · outbound

This paper cites L-HYDRA: Multi-Head Physics-Informed Neural Networks,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state L-HYDRA: Multi-Head Physics-Informed Neural Networks,

Reference 42

Resolution
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no resolver link, observed 2026-08-15T16:44:05.088179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:44:05.088179Z digest=sha256:4a82adfe65e5d1cf9ba5b2d237d3d14b5c23a3c90c7a525d9444a08960e97913

Observation 3e17255c-0898-44ec-bb51-1ec3f073af55 · outbound

This paper cites Excited state non-adiabatic dynamics of large photoswitchable molecules using a chemically transferable machine learning potential,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Excited state non-adiabatic dynamics of large photoswitchable molecules using a chemically transferable machine learning potential,

Reference 43

Resolution
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no resolver link, observed 2026-08-15T16:44:05.092836Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:44:05.092836Z digest=sha256:6419e0c932f723d048ca65c2ac7bfe7f195d041c618d895a99b658105d29259e

Observation 0335dcf8-4c7a-43eb-bdcb-f86efbd4cf0b · outbound

This paper cites Antiferromagnetic model with known ground state,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Antiferromagnetic model with known ground state,

Reference 44

Resolution
verified exact
doi, observed 2026-08-15T16:44:05.231391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T16:44:05.098201Z digest=sha256:7e668d7e7c186cefa7622eaa0d360ecad7bbaad0ec944904429e09652c2b4afd

Observation f5ec4beb-4eb7-46bb-8394-936d39301eb2 · outbound

This paper cites On Next-Nearest-Neighbor Interaction in Linear Chain. I,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state On Next-Nearest-Neighbor Interaction in Linear Chain. I,

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-15T16:44:05.102996Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:44:05.102996Z digest=sha256:fa3a269ebee9f44d3e625273b150beef2f6a3343bb1c125a1318acc72ba58b53

Observation 3784c27c-abe2-4b38-a609-3b90d88a56a0 · outbound

This paper cites On Next-Nearest-Neighbor Interaction in Linear Chain. II,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state On Next-Nearest-Neighbor Interaction in Linear Chain. II,

Reference 46

Resolution
verified exact
doi, observed 2026-08-15T16:44:05.204964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T16:44:05.107732Z digest=sha256:82c945e7503d7e33d6fe46902543ff0a0017804dbfdaa99fd97e4a27075d00ad

Observation 63a8edd0-24a9-47f3-b54d-d7976b7a941c · outbound

This paper cites From Architectures to Applications: A Review of Neural Quantum States.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state From Architectures to Applications: A Review of Neural Quantum States

Reference 47

Resolution
malformed identifier
no resolver link, observed 2026-08-15T16:44:05.112318Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:44:05.112318Z digest=sha256:8ecc95467c19bc2a302c2660e33d9e20a2724fcc9d75bcf39a9bb176499bd1e4

Observation 1ece840a-8241-4a26-9410-b7a422d57aa3 · outbound

This paper cites Recurrent neural network wave functions,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Recurrent neural network wave functions,

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-15T16:44:05.117488Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:44:05.117488Z digest=sha256:9b4c664b7227820ea7c9b63a334eaaea6d631dd07e3dd5d79ae1a67f69be4f2d

Observation 21630a6c-2543-49ab-a641-c1177e886bb0 · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Adam: A Method for Stochastic Optimization

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-15T16:44:05.122197Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:44:05.122197Z digest=sha256:0351ce42d1aa6fcf784175b53d49e79a0a0675f3adf8974c785d8ff823104fca

Observation 6702a5b1-92f7-409d-a6d1-6b688bf782e3 · outbound

This paper cites Equation of State Calculations by Fast Computing Machines,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Equation of State Calculations by Fast Computing Machines,

Reference 50

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:44:05.127269Z digest=sha256:1ee9578f6bb9e4236efe43797ac700d55e2b56aaac3257110f066c490973cf25

Observation c753b332-9916-4b4e-9d10-11ec44e0e059 · outbound

This paper cites Foundation neural-networks quantum states as a unified Ansatz for multiple hamiltonians,.

Simultaneous approximation of multiple degenerate states using a single neural network quantum state Foundation neural-networks quantum states as a unified Ansatz for multiple hamiltonians,

Reference 51

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unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:44:05.132406Z digest=sha256:68e6b8bf17e5a8f11eec8cffaaae936b297008873bbc03e88ddf4edc5a47ef0f

Pith citing papers

No inbound Pith citation observations are available.