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Paper Citation Record · LEDGER

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems

As of 22 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 1 inbound Pith citation observation for arXiv:2505.24194.

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

pith.paper-citation-record.v1
2505.24194 v1

Coverage vector

measured 53 of 53 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:40:50.738177Z

measured 54 of 54 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-09T23:32:28.932487Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-09T23:36:37.125395Z

Reference resolution

53 of 53 outbound references displayed

  • verified exact1
  • verified fuzzy18
  • unresolved33
  • parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b0b89ece-ffa9-417e-a7f8-26458d35d77e · outbound

This paper cites an unresolved cited work.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Unresolved cited work

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation b16a699a-c398-47d5-b433-576512ebec3a · outbound

This paper cites an unresolved cited work.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Unresolved cited work

Reference 2

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation fed310a6-357f-4f2f-a06d-ec02f807562d · outbound

This paper cites 2: Results of the neural network for the infinite potential well, Eq.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems 2: Results of the neural network for the infinite potential well, Eq

Reference 3

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 53d5a002-8a96-4940-a853-d9795fe2d51b · outbound

This paper cites an unresolved cited work.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Unresolved cited work

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 0c5e0993-3c7f-4c6b-bdc7-022134259d12 · outbound

This paper cites In the figure, blue solid lines represent analytical solutions, while the red dashed lines show 14 FIG.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems In the figure, blue solid lines represent analytical solutions, while the red dashed lines show 14 FIG

Reference 5

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation f399cf3b-cc47-4cd9-ac99-19aa96f6fba0 · outbound

This paper cites Gonz´ alez, Quantum chemistry and dynamics of excited states, inQuantum Chemistry and Dynamics of Excited States(2020).

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Gonz´ alez, Quantum chemistry and dynamics of excited states, inQuantum Chemistry and Dynamics of Excited States(2020)

Reference 6

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 450ea6c3-4668-453f-b620-77130370c91a · outbound

This paper cites Higgott, D.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Higgott, D

Reference 7

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:40:46.038114Z digest=sha256:9cd8f5fac51a341d985644826452e0551704a36a480bf4745ffd4403b5defa70

Observation ff541a6c-5f83-4bc8-afd7-25ad11ca4001 · outbound

This paper cites Elliott, J.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Elliott, J

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation ef6fc98b-e49d-4f1c-a8d8-c6a16e9c4aa0 · outbound

This paper cites an unresolved cited work.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Unresolved cited work

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 8ef7b205-a704-463a-a23c-de9cf00a6b48 · outbound

This paper cites Suzuki, L.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Suzuki, L

Reference 10

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 5c68a427-89c4-4816-b330-fae744083114 · outbound

This paper cites Krizhevsky, I.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Krizhevsky, I

Reference 11

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 5345d05e-981d-4a97-92b7-0889294ddd6e · outbound

This paper cites an unresolved cited work.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Unresolved cited work

Reference 12

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 8e48a51b-0860-4f6b-87c3-2425a6778805 · outbound

This paper cites an unresolved cited work.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Unresolved cited work

Reference 13

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:40:46.553284Z digest=sha256:d2f1f9ea90416af34035cc7d6e60940b5c6efe915725af338084ffe461b7c80e

Observation b5c6bd9f-5782-422c-ac86-6659f176447d · outbound

This paper cites an unresolved cited work.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Unresolved cited work

Reference 14

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation db9d9d44-6a0e-4666-9548-8f233759eec1 · outbound

This paper cites and Cybenko, Approximation by superpositions of a sigmoidal function, Mathematics of Control Signals & Systems (1989).

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems and Cybenko, Approximation by superpositions of a sigmoidal function, Mathematics of Control Signals & Systems (1989)

Reference 15

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T12:40:46.698410Z digest=sha256:7866a74c1f4443cf70d9ceda98d32c376d2c3e2a21c08298d4724b6449a27438

Observation 0eab84b5-c03d-410c-95ea-75d0f14f9915 · outbound

This paper cites Hornik, M.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Hornik, M

Reference 16

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:40:46.826471Z digest=sha256:735240b5eb73906875cfdcbdadd5b7a9fce67bbfb0c0459c4d8a9fa40bc869d4

Observation bdbe781d-843d-423d-bd5c-04795496c50c · outbound

This paper cites Mehta, M.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Mehta, M

Reference 17

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation a501c3fb-5c50-4845-85c5-b545f0505f89 · outbound

This paper cites an unresolved cited work.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Unresolved cited work

Reference 18

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation b7e72e7a-532f-411b-ae8d-d3043501327f · outbound

This paper cites an unresolved cited work.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Unresolved cited work

Reference 19

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 5abd3d84-5c31-4a3d-9161-4623a558e240 · outbound

This paper cites Torlai, G.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Torlai, G

Reference 20

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Unavailable: canonical work link unavailable.

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Observation 03803d42-7f01-41f8-a406-5ff775dea0b6 · outbound

This paper cites an unresolved cited work.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Unresolved cited work

Reference 21

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Observation 910da05a-d039-4882-bfc4-73f9b4844329 · outbound

This paper cites an unresolved cited work.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Unresolved cited work

Reference 22

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation b75bd3a8-751e-4c7c-89cf-ad60da0249fa · outbound

This paper cites an unresolved cited work.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Unresolved cited work

Reference 23

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 3c8bfce0-6f04-4468-9ad2-5c37ba324ad9 · outbound

This paper cites Calculate electronic excited states using neural networks with effective core potential.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Calculate electronic excited states using neural networks with effective core potential

Reference 24

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation d051e93e-bdb6-42fa-b798-d3182ccf3494 · outbound

This paper cites Adams, G.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Adams, G

Reference 25

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 6c18e11c-acf9-4c49-ba43-ea19b171c5a4 · outbound

This paper cites an unresolved cited work.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Unresolved cited work

Reference 26

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 5b51ab90-5c82-46ad-a0db-8885871adac9 · outbound

This paper cites an unresolved cited work.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Unresolved cited work

Reference 27

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 8ae1b7e2-6e74-4dba-806a-81d41b27c64a · outbound

This paper cites Raissi, P.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Raissi, P

Reference 28

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no resolver link, observed 2026-08-07T12:40:48.375383Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:40:48.375383Z digest=sha256:e01f64dcad124bf54d34131fcf26006969654fdbb6c86271d0c6ea1fd33cbe5f

Observation aedea807-9044-4df3-b53f-31081651e4f0 · outbound

This paper cites Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations

Reference 29

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no resolver link, observed 2026-08-07T12:40:48.507831Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:40:48.507831Z digest=sha256:6d9d77f7604a65c12c55c89100e51dfcff6a4720ecc1617eec9136a03c7126eb

Observation d1c70e2b-58c1-44c3-9b73-77483a138f48 · outbound

This paper cites Physics Informed Deep Learning (Part II): Data-driven Discovery of Nonlinear Partial Differential Equations.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Physics Informed Deep Learning (Part II): Data-driven Discovery of Nonlinear Partial Differential Equations

Reference 30

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:40:48.674293Z digest=sha256:b9567896885fa00d042ee7d88c6c850b1dc25cc3d6bcafc4fd35a827c11466ee

Observation f2ee6d33-5c2b-4b64-98f7-d09113bd7704 · outbound

This paper cites an unresolved cited work.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Unresolved cited work

Reference 31

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no resolver link, observed 2026-08-07T12:40:48.823201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:40:48.823201Z digest=sha256:6da6081393d6eb5ce7a98b838385f0178de1a9d6cc1c8676c667ec065c42f981

Observation e70979d7-72ef-4afe-97ae-2591d2f6fb0c · outbound

This paper cites Jalili, S.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Jalili, S

Reference 32

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raw_fallback, observed 2026-08-07T12:40:55.140974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation b0271d9d-2a76-44cc-ab23-91f7a720eb2b · outbound

This paper cites Sirignano and K.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Sirignano and K

Reference 33

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raw_fallback, observed 2026-08-07T12:40:54.988560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 5748529f-09d5-44ee-a362-96ec850a4685 · outbound

This paper cites Kharazmi, Z.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Kharazmi, Z

Reference 34

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raw_fallback, observed 2026-08-07T12:40:54.863516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 63405988-121f-4ae5-89c9-32b416af79a3 · outbound

This paper cites an unresolved cited work.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Unresolved cited work

Reference 35

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raw_fallback, observed 2026-08-07T12:40:54.754629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 32b426f8-ee4e-4f77-8530-184f1bffd5c5 · outbound

This paper cites an unresolved cited work.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Unresolved cited work

Reference 36

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unresolved
raw_fallback, observed 2026-08-07T12:40:54.629220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 3f01e928-f6c0-4c9e-a8f6-45ddd63c10f9 · outbound

This paper cites an unresolved cited work.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Unresolved cited work

Reference 37

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unresolved
raw_fallback, observed 2026-08-07T12:40:54.486154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 9dbf5e59-53bd-4f44-be91-13e8a7de5d31 · outbound

This paper cites Physics-informed neural networks (PINNs) for fluid mechanics: A review.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Physics-informed neural networks (PINNs) for fluid mechanics: A review

Reference 38

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Observation 9ac97275-2578-41a8-80e0-5bee46d0dedd · outbound

This paper cites an unresolved cited work.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Unresolved cited work

Reference 39

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation d642a020-2fb7-4cc8-8141-684029e43550 · outbound

This paper cites Mechanism of feature learning in deep fully connected networks and kernel machines that recursively learn features.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Mechanism of feature learning in deep fully connected networks and kernel machines that recursively learn features

Reference 40

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Observation f2c6ee0f-215e-4d55-b485-848069089c1f · outbound

This paper cites an unresolved cited work.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Unresolved cited work

Reference 41

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 59cecbf3-acb0-4068-80a9-12f98ec8cc61 · outbound

This paper cites LeCun, Y.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems LeCun, Y

Reference 42

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation f6a6e78e-f121-4f2b-a69f-1f61c82348f9 · outbound

This paper cites an unresolved cited work.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Unresolved cited work

Reference 43

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Observation dd6ea735-3758-423a-a6b6-6a9ba700b51e · outbound

This paper cites Resnet in Resnet: Generalizing Residual Architectures.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Resnet in Resnet: Generalizing Residual Architectures

Reference 44

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unresolved
no resolver link, observed 2026-08-07T12:40:50.024758Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-07T12:40:50.024758Z digest=sha256:979150768af1dfdc5c5595bfd6c056b55e18a36d9c0111167a9de0675f293798

Observation 5316920d-8669-4381-a9d4-3265c3b3c8df · outbound

This paper cites Isola, J.-Y.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Isola, J.-Y

Reference 45

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T12:40:50.128565Z digest=sha256:c78499f739f905cd91b1c464033768db93fecf71cf02f677a80ca534483753e3

Observation 0cdff4e0-1192-4f3f-8948-4cf3cc34bca0 · outbound

This paper cites Or´ us, Tensor networks for complex quantum systems, Nature Reviews Physics1, 538 (2019).

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Or´ us, Tensor networks for complex quantum systems, Nature Reviews Physics1, 538 (2019)

Reference 46

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Observation 3353545c-4c44-4515-a314-c64cb6b042e7 · outbound

This paper cites Toselli and O.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Toselli and O

Reference 47

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 340a0a3b-6ddc-45d2-b39c-cbbdc259c005 · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Adam: A Method for Stochastic Optimization

Reference 48

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no resolver link, observed 2026-08-07T12:40:50.369561Z

Source-reported events for the cited work

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Observation c589167d-2e7f-4b25-9c74-a5c1fc0d938c · outbound

This paper cites an unresolved cited work.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Unresolved cited work

Reference 49

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation d11fa64f-93a3-4cd7-98df-95389882d05a · outbound

This paper cites Prechelt, Early stopping — but when?, inNeural Networks: Tricks of the Trade: Second Edition, edited by G.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Prechelt, Early stopping — but when?, inNeural Networks: Tricks of the Trade: Second Edition, edited by G

Reference 50

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 906e1804-919c-456c-b9d4-f8654c9b5693 · outbound

This paper cites Heaton, Ian goodfellow, yoshua bengio, and aaron courville: Deep learning, Genetic Pro- gramming and Evolvable Machines19, 305 (2018).

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Heaton, Ian goodfellow, yoshua bengio, and aaron courville: Deep learning, Genetic Pro- gramming and Evolvable Machines19, 305 (2018)

Reference 51

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T12:40:50.587576Z digest=sha256:e8ebf6694b3590b9729b96c9a4e321d65279ebcc2fe142afcbb78a92cda55662

Observation 6ee7cd5d-cbac-4534-8332-5b02df49bb5c · outbound

This paper cites Pu, H.-L.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Pu, H.-L

Reference 52

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 9c7cc7da-4a7e-4899-a7ae-af8064efb12b · outbound

This paper cites an unresolved cited work.

Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems Unresolved cited work

Reference 53

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unresolved
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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Pith citing papers

Observation ec8417dc-d6f6-4ad1-b019-f97e56bff1c4 · inbound

Machine learning the impact parameter in heavy-ion collisions at $\sqrt{s_{\rm NN}}$ = 4 and 11 GeV: a cross-check study with UrQMD, AMPT, and JAM cites this paper.

Machine learning the impact parameter in heavy-ion collisions at $\sqrt{s_{\rm NN}}$ = 4 and 11 GeV: a cross-check study with UrQMD, AMPT, and JAM Energy-Embedded Neural Solvers for One-Dimensional Quantum Systems

Reference 41

Resolution
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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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