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Paper Citation Record · LEDGER

Simulating the Hubbard Model with Equivariant Normalizing Flows

As of 10 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 2 inbound Pith citation observations for arXiv:2501.07371.

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

pith.paper-citation-record.v1
2501.07371 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T20:48:34.852344Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:19:44.545207Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-19T02:11:59.284972Z

Reference resolution

39 of 39 outbound references displayed

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  • verified fuzzy0
  • unresolved35
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  • malformed identifier0
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External citation measurements

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Outbound references

Observation 3f682d95-7f94-491b-a24d-68b12183a3a2 · outbound

This paper cites Avoiding Ergodicity Problems in Lattice Discretizations of the Hubbard Model.

Simulating the Hubbard Model with Equivariant Normalizing Flows Avoiding Ergodicity Problems in Lattice Discretizations of the Hubbard Model

Reference 1

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source=pdf_text observed=2026-08-10T20:48:32.054859Z digest=sha256:55015d003bd7a1e31396a8bdbe51a10c3ca6a6db7c0596356b403bea177b2184

Observation 4ad08b71-4e21-4389-8759-35e2d7f2a283 · outbound

This paper cites Overcoming Ergodicity Problems of the Hybrid Monte Carlo Method using Radial Updates.

Simulating the Hubbard Model with Equivariant Normalizing Flows Overcoming Ergodicity Problems of the Hybrid Monte Carlo Method using Radial Updates

Reference 2

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source=pdf_text observed=2026-08-10T20:48:32.160938Z digest=sha256:90b1c93dec698d011255d8b14d73f36a7747729567a42774faf09262537c5771

Observation adba8f0a-8db2-4d63-918c-203e295cfdf0 · outbound

This paper cites Variational Inference with Normalizing Flows.

Simulating the Hubbard Model with Equivariant Normalizing Flows Variational Inference with Normalizing Flows

Reference 3

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source=pdf_text observed=2026-08-10T20:48:32.203698Z digest=sha256:d6a9ecf68b6241e2a7c46f8fef6b1cb5e1b68bb9d880ab1d640b38c3631309ae

Observation c6924b14-ab1f-47e5-a8e3-ca6e4a8f08df · outbound

This paper cites Normalizing Flows: An Introduction and Review of Current Methods.

Simulating the Hubbard Model with Equivariant Normalizing Flows Normalizing Flows: An Introduction and Review of Current Methods

Reference 4

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source=pdf_text observed=2026-08-10T20:48:32.250802Z digest=sha256:89366794de6a844466efdc7340cbdb2f3d126cd7c2706709acab6e4f08a9e56e

Observation c1d837f6-ee0d-4709-b1b1-6dde1ec25850 · outbound

This paper cites Normalizing Flows for Probabilistic Modeling and Inference.

Simulating the Hubbard Model with Equivariant Normalizing Flows Normalizing Flows for Probabilistic Modeling and Inference

Reference 5

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source=pdf_text observed=2026-08-10T20:48:32.349456Z digest=sha256:c92c6f416dbdd5276fab7bad1328f5188e167d09af905d7ebc58c0d30be38d4f

Observation 69f38a58-4014-485b-9152-e918292faf6d · outbound

This paper cites Pixel Recurrent Neural Networks.

Simulating the Hubbard Model with Equivariant Normalizing Flows Pixel Recurrent Neural Networks

Reference 6

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source=pdf_text observed=2026-08-10T20:48:32.421922Z digest=sha256:cdc990d3c7a2b32dddd26c679c883285f449d4a76d5f560954c85a7b9ce6c0ef

Observation e6dc4099-2730-45b8-a75b-10d9ee8cb384 · outbound

This paper cites Conditional Image Generation with PixelCNN Decoders.

Simulating the Hubbard Model with Equivariant Normalizing Flows Conditional Image Generation with PixelCNN Decoders

Reference 7

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source=pdf_text observed=2026-08-10T20:48:32.484936Z digest=sha256:8e844fcc18ff7bc08934d646a6ec28485a5cf7197dc278463b1b8369999a509d

Observation 3343ad54-3980-493f-9835-26cd1a3ab482 · outbound

This paper cites Boltzmann Generators -- Sampling Equilibrium States of Many-Body Systems with Deep Learning.

Simulating the Hubbard Model with Equivariant Normalizing Flows Boltzmann Generators -- Sampling Equilibrium States of Many-Body Systems with Deep Learning

Reference 8

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source=pdf_text observed=2026-08-10T20:48:32.594968Z digest=sha256:ab83819eb9c4b0c5ca3b8dc27198b5ce7d58d4c8fb2741b3cd3663ac86102217

Observation df002e6f-fa76-4212-9d4c-4e16bd2f1e3b · outbound

This paper cites Flow-based generative models for Markov chain Monte Carlo in lattice field theory.

Simulating the Hubbard Model with Equivariant Normalizing Flows Flow-based generative models for Markov chain Monte Carlo in lattice field theory

Reference 9

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source=pdf_text observed=2026-08-10T20:48:32.704905Z digest=sha256:2ed5876000ac936a8c3805534eb39efdf88082bf8813cdce41a99465fbed5523

Observation a68faed3-7432-4e4d-ad06-dac4d96d43b6 · outbound

This paper cites Estimation of Thermodynamic Observables in Lattice Field Theories with Deep Generative Models.

Simulating the Hubbard Model with Equivariant Normalizing Flows Estimation of Thermodynamic Observables in Lattice Field Theories with Deep Generative Models

Reference 10

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source=pdf_text observed=2026-08-10T20:48:32.783736Z digest=sha256:5c70d93c77f590acf4a5a61e0517f2f34960d6b8f6edb715c65729aedebfca4b

Observation 6f7acd5c-fd86-4e4f-b717-6ba07a994181 · outbound

This paper cites Stochastic normalizing flows as non-equilibrium transformations.

Simulating the Hubbard Model with Equivariant Normalizing Flows Stochastic normalizing flows as non-equilibrium transformations

Reference 11

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source=pdf_text observed=2026-08-10T20:48:32.844768Z digest=sha256:385c032b9d5d111f40ff23ecb0e37f97ebeb5918c027b44e6e3e2906ccfd95f5

Observation 341bc7c5-49f8-4afb-9884-79f48b9f9d6f · outbound

This paper cites Advances in machine-learning-based sampling motivated by lattice quantum chromodynamics.

Simulating the Hubbard Model with Equivariant Normalizing Flows Advances in machine-learning-based sampling motivated by lattice quantum chromodynamics

Reference 12

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source=pdf_text observed=2026-08-10T20:48:32.924537Z digest=sha256:4d128fd39efd898d41fb6577791cbbccf7e8d5483b3b4decff2f8f3fc93ab708

Observation e13ff2a1-62ea-4c06-8583-35d26d4d9e30 · outbound

This paper cites Solving Statistical Mechanics Using Variational Autoregressive Networks.

Simulating the Hubbard Model with Equivariant Normalizing Flows Solving Statistical Mechanics Using Variational Autoregressive Networks

Reference 13

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source=pdf_text observed=2026-08-10T20:48:32.998206Z digest=sha256:f946d1375bd3cd0e835132b5c9c88cef6cbdc6385758b80c4831662f97db2052

Observation ded9d538-946f-4df0-bd3e-5205718c55d5 · outbound

This paper cites Asymptotically unbiased estimation of physical observables with neural samplers.

Simulating the Hubbard Model with Equivariant Normalizing Flows Asymptotically unbiased estimation of physical observables with neural samplers

Reference 14

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source=pdf_text observed=2026-08-10T20:48:33.065066Z digest=sha256:8ebbadcbbef4409932a2bf3fb63164013fde5860e9ea0c7e6109d2cdbc305c28

Observation 4d213c26-ebdf-4518-b7ee-49792ab17d70 · outbound

This paper cites Sampling Nambu-Goto theory using Normalizing Flows.

Simulating the Hubbard Model with Equivariant Normalizing Flows Sampling Nambu-Goto theory using Normalizing Flows

Reference 15

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source=pdf_text observed=2026-08-10T20:48:33.124161Z digest=sha256:af6adeb8e821dfa46eba5982bef950cfa9b5408af0aa7149f36c2ce713a510b9

Observation 5078abde-6b3e-47c1-a7ce-44742a9417cc · outbound

This paper cites Sampling the lattice Nambu-Goto string using Continuous Normalizing Flows.

Simulating the Hubbard Model with Equivariant Normalizing Flows Sampling the lattice Nambu-Goto string using Continuous Normalizing Flows

Reference 16

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source=pdf_text observed=2026-08-10T20:48:33.184933Z digest=sha256:cadd9f21c7627b7b58da136b98fd381960a94f15ed612eef5fd3cf1721370372

Observation b5d172f1-0275-42cc-b160-51b1c2ccc7bc · outbound

This paper cites Symmetry-adapted generation of 3d point sets for the targeted discovery of molecules.

Simulating the Hubbard Model with Equivariant Normalizing Flows Symmetry-adapted generation of 3d point sets for the targeted discovery of molecules

Reference 17

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source=pdf_text observed=2026-08-10T20:48:33.244889Z digest=sha256:e3e91894407ef15e00081419e31c66d2a0cef14372d1b8cf1230a4419604c9f1

Observation 326c8cbc-78aa-4f77-a468-cfbc69f4af07 · outbound

This paper cites Gebauer, M.

Simulating the Hubbard Model with Equivariant Normalizing Flows Gebauer, M

Reference 18

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source=pdf_text observed=2026-08-10T20:48:33.331035Z digest=sha256:df49eb170201d1a651dbb756720745a094f942855b463af71583e8065e7de3f7

Observation 1482f3d1-16dd-442f-bf0e-5302cd4a26d3 · outbound

This paper cites R\'enyi entanglement entropy of spin chain with Generative Neural Networks.

Simulating the Hubbard Model with Equivariant Normalizing Flows R\'enyi entanglement entropy of spin chain with Generative Neural Networks

Reference 19

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source=pdf_text observed=2026-08-10T20:48:33.404751Z digest=sha256:5e7bad3f0c636c4b37cb7aa1287315a20dae05c9984209e76f3957826dfc4e79

Observation 7f8af51c-718e-4dcb-b645-b07450744c0c · outbound

This paper cites Flow-Based Sampling for Entanglement Entropy and the Machine Learning of Defects.

Simulating the Hubbard Model with Equivariant Normalizing Flows Flow-Based Sampling for Entanglement Entropy and the Machine Learning of Defects

Reference 20

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source=pdf_text observed=2026-08-10T20:48:33.485171Z digest=sha256:f7724b1d58f91a6c8cb1c604b7c6416a110145f51b46b6975d503a3a3773383b

Observation c153ebfb-4d74-484f-b6ac-0c331ceff414 · outbound

This paper cites Machine Learning of Thermodynamic Observables in the Presence of Mode Collapse.

Simulating the Hubbard Model with Equivariant Normalizing Flows Machine Learning of Thermodynamic Observables in the Presence of Mode Collapse

Reference 21

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local_arxiv, observed 2026-08-10T20:48:36.704754Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T20:48:33.545348Z digest=sha256:1104a9dacb2666b05ed9700a47c5f9301e6e693ad4e6a8482fa6d5d8cf4a35c5

Observation 981477e0-d829-42c5-8934-cc3d8db7951f · outbound

This paper cites Detecting and Mitigating Mode-Collapse for Flow-based Sampling of Lattice Field Theories.

Simulating the Hubbard Model with Equivariant Normalizing Flows Detecting and Mitigating Mode-Collapse for Flow-based Sampling of Lattice Field Theories

Reference 22

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source=pdf_text observed=2026-08-10T20:48:33.605527Z digest=sha256:45b02fcd4f1ce3bcd5287829e3c623e89ca00071a061407060337820f93d7c3f

Observation 26002e02-64ad-424d-b5d6-f7e584e97480 · outbound

This paper cites Equivariant flow-based sampling for lattice gauge theory.

Simulating the Hubbard Model with Equivariant Normalizing Flows Equivariant flow-based sampling for lattice gauge theory

Reference 23

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source=pdf_text observed=2026-08-10T20:48:33.694867Z digest=sha256:4ad73c88b0ba15bea57c639241a0311fd9b8956673e75e0df442fe8a3dac0583

Observation 983a0aed-15e2-4fe3-b1e9-d07083c0fd41 · outbound

This paper cites Equivariant Flows: Exact Likelihood Generative Learning for Symmetric Densities.

Simulating the Hubbard Model with Equivariant Normalizing Flows Equivariant Flows: Exact Likelihood Generative Learning for Symmetric Densities

Reference 24

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source=pdf_text observed=2026-08-10T20:48:33.784857Z digest=sha256:1bf9296fe837b51fa37b58926bd2f739748dcc4f89fec27792d7cc2185b8317c

Observation c5c00377-61a7-4708-a2c0-d06e058a4ee8 · outbound

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

Simulating the Hubbard Model with Equivariant Normalizing Flows Hubbard,Electron correlations in narrow energy bands, Proceedings of the Royal Society of London

Reference 25

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source=pdf_text observed=2026-08-10T20:48:33.834857Z digest=sha256:61e349715046cc8a30a105b9fca1e4864ffc489e199814b8b9c6302d1c8b3951

Observation 5c1c7fee-446f-4bf6-980c-3bfa1e86e80f · outbound

This paper cites The Hubbard Model.

Simulating the Hubbard Model with Equivariant Normalizing Flows The Hubbard Model

Reference 26

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source=pdf_text observed=2026-08-10T20:48:33.884850Z digest=sha256:520a3b4ec743dbf358727651d29e19dd4631c03af4a6c55590addc8949d899f4

Observation 9f0b297e-e8ad-4df4-b2ba-7e61b7f0203d · outbound

This paper cites Trotter,On the product of semi-groups of operators,Proceedings of the American Mathematical Society10(1959) 545.

Simulating the Hubbard Model with Equivariant Normalizing Flows Trotter,On the product of semi-groups of operators,Proceedings of the American Mathematical Society10(1959) 545

Reference 27

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source=pdf_text observed=2026-08-10T20:48:33.943888Z digest=sha256:40b3e690d696b8eed0a3e68720b4d3f0cd0bbc25c72a01e82a7ae32c78c4ab7c

Observation 5967c9a8-a2ff-4912-833d-7c7cd13d289c · outbound

This paper cites an unresolved cited work.

Simulating the Hubbard Model with Equivariant Normalizing Flows Unresolved cited work

Reference 28

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source=pdf_text observed=2026-08-10T20:48:34.052567Z digest=sha256:f404034043a84989c1498db9178bd9b9bdfed90edd64e7c584ee7c6551c33beb

Observation 593d6c42-7781-49fb-8461-0426f91be578 · outbound

This paper cites Hubbard,Calculation of Partition Functions, Phys.

Simulating the Hubbard Model with Equivariant Normalizing Flows Hubbard,Calculation of Partition Functions, Phys

Reference 29

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source=pdf_text observed=2026-08-10T20:48:34.095378Z digest=sha256:97b630ff5225be3b229b4dc0c9c0447c09ae3b3542a4a3582fb9dd127368ea41

Observation 90120ba6-34c5-4be6-8859-1cd4a1f9fd0a · outbound

This paper cites Hybrid Monte Carlo simulation on the graphene hexagonal lattice.

Simulating the Hubbard Model with Equivariant Normalizing Flows Hybrid Monte Carlo simulation on the graphene hexagonal lattice

Reference 30

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local_arxiv, observed 2026-08-10T20:48:35.775237Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T20:48:34.163984Z digest=sha256:df632744c0d7ae03e6c8b6ff3aeaa66171023227ab63e3ec681f80bdf545be63

Observation 158691c2-4076-4e1d-893c-decf0eecb0d1 · outbound

This paper cites Monte-Carlo study of the semimetal-insulator phase transition in monolayer graphene with realistic inter-electron interaction potential.

Simulating the Hubbard Model with Equivariant Normalizing Flows Monte-Carlo study of the semimetal-insulator phase transition in monolayer graphene with realistic inter-electron interaction potential

Reference 31

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verified exact
local_arxiv, observed 2026-08-10T20:48:35.697572Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T20:48:34.266002Z digest=sha256:a1cef14809bb1c2158b316dd5a343a0634d474c1b6315a5fdb68c8c91b4eb938

Observation adda476c-6a8d-41fd-b832-ac6b8a96d965 · outbound

This paper cites Monte-Carlo simulation of the tight-binding model of graphene with partially screened Coulomb interactions.

Simulating the Hubbard Model with Equivariant Normalizing Flows Monte-Carlo simulation of the tight-binding model of graphene with partially screened Coulomb interactions

Reference 32

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verified exact
local_arxiv, observed 2026-08-10T20:48:35.548174Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T20:48:34.292854Z digest=sha256:debe27d6dcec9615f3d1c9b374d52b56db344fa8f3eeff1a4d74a6d7d0dcd0ef

Observation 7b6c70f0-6ce1-4877-9a4e-9e44e9c57e37 · outbound

This paper cites Quantum Monte Carlo Calculations for Carbon Nanotubes.

Simulating the Hubbard Model with Equivariant Normalizing Flows Quantum Monte Carlo Calculations for Carbon Nanotubes

Reference 33

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source=pdf_text observed=2026-08-10T20:48:34.314865Z digest=sha256:25cc9b8a999e6b26c7f2a727311052a9d823d3ad125d319ba94659ced9e706c0

Observation 246d131d-3d70-4722-8b75-be37dcc34f2c · outbound

This paper cites Duane, A.D.

Simulating the Hubbard Model with Equivariant Normalizing Flows Duane, A.D

Reference 34

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source=pdf_text observed=2026-08-10T20:48:34.488237Z digest=sha256:7034f4b6a7f21d97997da938b0b41ee39ed1305e06e6052726a38cd8f7f251e8

Observation bf4cd771-46fb-44f2-982a-a9c3dc67dd21 · outbound

This paper cites NICE: Non-linear Independent Components Estimation.

Simulating the Hubbard Model with Equivariant Normalizing Flows NICE: Non-linear Independent Components Estimation

Reference 35

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source=pdf_text observed=2026-08-10T20:48:34.544761Z digest=sha256:669a2296791630c36180ce8fca69fc6432d5ed21e8991b2a5e8a6da64b02fa0f

Observation fa9f8bb0-2e9d-44f6-839e-1aac46773fa4 · outbound

This paper cites Density estimation using Real NVP.

Simulating the Hubbard Model with Equivariant Normalizing Flows Density estimation using Real NVP

Reference 36

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source=pdf_text observed=2026-08-10T20:48:34.571230Z digest=sha256:83682212bd84282ccfb021d15f286c80ec4fe921329f4830c32a23e36149a5b5

Observation ec27c0f3-ee1f-41db-b620-e5373d141526 · outbound

This paper cites Kullback and R.A.

Simulating the Hubbard Model with Equivariant Normalizing Flows Kullback and R.A

Reference 37

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source=pdf_text observed=2026-08-10T20:48:34.766767Z digest=sha256:5631597860b6cd199b7536716db7d66afb58ac3f12179a37b98b0f58b2f88603

Observation 66fbc065-2b22-49fe-9896-c38f05343cef · outbound

This paper cites Sampling using $SU(N)$ gauge equivariant flows.

Simulating the Hubbard Model with Equivariant Normalizing Flows Sampling using $SU(N)$ gauge equivariant flows

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-10T20:48:34.806658Z

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source=pdf_text observed=2026-08-10T20:48:34.806658Z digest=sha256:37223dfc6bb77875b08e4c3e579940911a1260378ca66f1c6cc26cc2f27019a0

Observation 1e76e2a6-c79e-4875-b8c2-c1bd237364de · outbound

This paper cites Nicoli, C.J.

Simulating the Hubbard Model with Equivariant Normalizing Flows Nicoli, C.J

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-10T20:48:34.852344Z

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source=pdf_text observed=2026-08-10T20:48:34.852344Z digest=sha256:484d5c498ac69e3f3cdf3cc018ac39ca405aca751e4141b7e82eb1f29b2c94c7

Pith citing papers

Observation 850e0c19-6239-4a11-8fdf-0901aab8e2d0 · inbound

SESaMo: Symmetry-Enforcing Stochastic Modulation for Normalizing Flows cites this paper.

SESaMo: Symmetry-Enforcing Stochastic Modulation for Normalizing Flows Simulating the Hubbard Model with Equivariant Normalizing Flows

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-07T14:19:44.545207Z

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source=pdf_text observed=2026-08-07T14:19:44.545207Z digest=sha256:a0b28004e3c3c73b80fdfd31dc48a72dced29dfe354dfc0be7647f0477c6f0c8

Observation c2030065-863d-47ff-844d-9bc69e9820e2 · inbound

Applying the Worldvolume Hybrid Monte Carlo method to the Hubbard model away from half filling cites this paper.

Applying the Worldvolume Hybrid Monte Carlo method to the Hubbard model away from half filling Simulating the Hubbard Model with Equivariant Normalizing Flows

Reference 36

Resolution
verified exact
arxiv_id, observed 2026-05-19T02:11:59.287152Z

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source=pdf_text observed=2026-05-19T02:10:44.624977Z digest=sha256:e24c011d51db3e9d297245325934a561e504829798c342d5d4b8efb8fc6d2ba0