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Paper Citation Record · LEDGER

Deep learning for the semi-classical limit of the Schr\"odinger equation

As of 8 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2509.04453.

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

pith.paper-citation-record.v1
2509.04453 v1

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T18:09:36.968681Z

measured 52 of 52 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

52 of 52 outbound references displayed

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  • unresolved33
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0a45355b-1eff-45d1-b3a7-7a63a7820fed · outbound

This paper cites Guillot, J.

Deep learning for the semi-classical limit of the Schr\"odinger equation Guillot, J

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 5bfa050a-4921-484d-bd83-1696d10b1f04 · outbound

This paper cites Cingolani, S.

Deep learning for the semi-classical limit of the Schr\"odinger equation Cingolani, S

Reference 2

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation f9da90b5-4265-4b76-aeca-e3151b03ce4f · outbound

This paper cites Garashchuk, V.

Deep learning for the semi-classical limit of the Schr\"odinger equation Garashchuk, V

Reference 3

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation d268c47a-3d38-4bc6-bb44-1d8ed5067dc8 · outbound

This paper cites Lasser, C.

Deep learning for the semi-classical limit of the Schr\"odinger equation Lasser, C

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation cf0cb831-db03-43d5-b945-d3bf43fcce93 · outbound

This paper cites an unresolved cited work.

Deep learning for the semi-classical limit of the Schr\"odinger equation Unresolved cited work

Reference 5

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation f44596b2-85a8-414e-aa49-9205d29f80f3 · outbound

This paper cites Pathria, J.

Deep learning for the semi-classical limit of the Schr\"odinger equation Pathria, J

Reference 6

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 4ab46c10-853c-497b-8aa9-b4f13dfba0ac · outbound

This paper cites Descombes, M.

Deep learning for the semi-classical limit of the Schr\"odinger equation Descombes, M

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 3ebbef3c-fb0a-412d-a941-a761a4f4ab2e · outbound

This paper cites an unresolved cited work.

Deep learning for the semi-classical limit of the Schr\"odinger equation Unresolved cited work

Reference 8

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation a57fa565-284b-4f4f-a30d-f32561a6b7e4 · outbound

This paper cites an unresolved cited work.

Deep learning for the semi-classical limit of the Schr\"odinger equation Unresolved cited work

Reference 9

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 9e9d245e-2fcb-4aa9-8e97-2134ee70adfd · outbound

This paper cites an unresolved cited work.

Deep learning for the semi-classical limit of the Schr\"odinger equation Unresolved cited work

Reference 10

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation f45ae00b-f6ab-4c7c-8f90-69403a39d650 · outbound

This paper cites an unresolved cited work.

Deep learning for the semi-classical limit of the Schr\"odinger equation Unresolved cited work

Reference 11

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 7b5bb43c-7c9c-4c7e-ab67-6e3bf1d02726 · outbound

This paper cites LeCun, Y.

Deep learning for the semi-classical limit of the Schr\"odinger equation LeCun, Y

Reference 12

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation f87d2a3e-0d22-41da-9f17-7f5502b517e8 · outbound

This paper cites an unresolved cited work.

Deep learning for the semi-classical limit of the Schr\"odinger equation Unresolved cited work

Reference 13

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 30a4f0c5-d3af-466f-bf42-7b00c36dc434 · outbound

This paper cites an unresolved cited work.

Deep learning for the semi-classical limit of the Schr\"odinger equation Unresolved cited work

Reference 14

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 77ec1f3b-7578-4578-b8b7-9a925fbfaa2c · outbound

This paper cites Krizhevsky, I.

Deep learning for the semi-classical limit of the Schr\"odinger equation Krizhevsky, I

Reference 15

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 35d81206-047f-4e70-9873-33fab89cc823 · outbound

This paper cites an unresolved cited work.

Deep learning for the semi-classical limit of the Schr\"odinger equation Unresolved cited work

Reference 16

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation f20a03a7-9da7-4e36-b229-587d28b96ef3 · outbound

This paper cites Raissi, P.

Deep learning for the semi-classical limit of the Schr\"odinger equation Raissi, P

Reference 17

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 4dfea2d5-cf6d-463f-ad1c-85f462b4d709 · outbound

This paper cites Yu, et al., The deep Ritz method: A deep learning-based numerical algorithm for solving variational problems, Communications in Mathematics and Statistics, 6 (2018), 1–12.

Deep learning for the semi-classical limit of the Schr\"odinger equation Yu, et al., The deep Ritz method: A deep learning-based numerical algorithm for solving variational problems, Communications in Mathematics and Statistics, 6 (2018), 1–12

Reference 18

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation e71a24cc-d8ee-44d0-8c5e-16b1e3cdc22f · outbound

This paper cites an unresolved cited work.

Deep learning for the semi-classical limit of the Schr\"odinger equation Unresolved cited work

Reference 19

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Source-reported events for the cited work

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Observation 299240c5-25f9-4299-8d59-b520d922ae06 · outbound

This paper cites an unresolved cited work.

Deep learning for the semi-classical limit of the Schr\"odinger equation Unresolved cited work

Reference 20

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Source-reported events for the cited work

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Observation c16e531e-409d-4b7a-a082-b1a4a45da262 · outbound

This paper cites an unresolved cited work.

Deep learning for the semi-classical limit of the Schr\"odinger equation Unresolved cited work

Reference 21

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 150c199b-ba08-4232-b89a-d302e6fbc52b · outbound

This paper cites an unresolved cited work.

Deep learning for the semi-classical limit of the Schr\"odinger equation Unresolved cited work

Reference 22

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Source-reported events for the cited work

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Observation ad195cc2-2e82-4e5b-af1d-114160b333ca · outbound

This paper cites an unresolved cited work.

Deep learning for the semi-classical limit of the Schr\"odinger equation Unresolved cited work

Reference 23

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 27e1044c-0f58-47f8-89e9-a5788bc9d9b9 · outbound

This paper cites an unresolved cited work.

Deep learning for the semi-classical limit of the Schr\"odinger equation Unresolved cited work

Reference 24

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 46fdb592-6d63-4497-b518-5652224cae3d · outbound

This paper cites an unresolved cited work.

Deep learning for the semi-classical limit of the Schr\"odinger equation Unresolved cited work

Reference 25

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 9ffc5480-ee2f-4b9b-b068-013dd4ff744f · outbound

This paper cites an unresolved cited work.

Deep learning for the semi-classical limit of the Schr\"odinger equation 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 2026-08-08T06:32:00.761636+00:00.

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Observation 8dcc3f94-2986-475e-b606-96d9079f5912 · outbound

This paper cites Rahaman, A.

Deep learning for the semi-classical limit of the Schr\"odinger equation Rahaman, A

Reference 27

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 8696f900-e08c-436e-8b64-780dec07c9ca · outbound

This paper cites an unresolved cited work.

Deep learning for the semi-classical limit of the Schr\"odinger equation Unresolved cited work

Reference 28

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation b297208d-3250-4464-b67b-5f87e42588b1 · outbound

This paper cites Explicitizing an Implicit Bias of the Frequency Principle in Two-layer Neural Networks.

Deep learning for the semi-classical limit of the Schr\"odinger equation Explicitizing an Implicit Bias of the Frequency Principle in Two-layer Neural Networks

Reference 29

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation ce482a45-fb85-4bd5-938c-874dd9442ed5 · outbound

This paper cites Understanding training and generalization in deep learning by Fourier analysis.

Deep learning for the semi-classical limit of the Schr\"odinger equation Understanding training and generalization in deep learning by Fourier analysis

Reference 30

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation d5fe037f-cdc5-4585-9c7d-bbc7b2ceae20 · outbound

This paper cites an unresolved cited work.

Deep learning for the semi-classical limit of the Schr\"odinger equation Unresolved cited work

Reference 31

Resolution
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raw_fallback, observed 2026-08-05T18:09:42.328951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 86adf456-cd37-45bb-a797-41c198c640e6 · outbound

This paper cites Multi-scale Deep Neural Networks for Solving High Dimensional PDEs.

Deep learning for the semi-classical limit of the Schr\"odinger equation Multi-scale Deep Neural Networks for Solving High Dimensional PDEs

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-05T18:09:34.747221Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation b511b8db-0e3a-4bcb-811f-58db21e9725a · outbound

This paper cites an unresolved cited work.

Deep learning for the semi-classical limit of the Schr\"odinger equation Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-05T18:09:42.066703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation e322ddd3-88c5-49d9-9799-aad470f1db7e · outbound

This paper cites Li, Z.-Q.

Deep learning for the semi-classical limit of the Schr\"odinger equation Li, Z.-Q

Reference 34

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 8ce6572d-7759-43c1-b1d2-ce2bfe835c07 · outbound

This paper cites Li, Z.-Q.

Deep learning for the semi-classical limit of the Schr\"odinger equation Li, Z.-Q

Reference 35

Resolution
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raw_fallback, observed 2026-08-05T18:09:41.637353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 2a839dd4-f666-4f74-b8cf-d9324170100b · outbound

This paper cites Huang, R.

Deep learning for the semi-classical limit of the Schr\"odinger equation Huang, R

Reference 36

Resolution
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raw_fallback, observed 2026-08-05T18:09:41.441874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 202ddf03-4df3-4e99-b133-3fea090edc8a · outbound

This paper cites an unresolved cited work.

Deep learning for the semi-classical limit of the Schr\"odinger equation Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-05T18:09:41.263705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T18:09:35.231822Z digest=sha256:294a3b6e86fbd8b7bb44795b625ac3f94987c1a2a2f99ce7ba0dfa399a4728b4

Observation 6794a8b6-14c0-47fd-a7b7-4faa7055028a · outbound

This paper cites an unresolved cited work.

Deep learning for the semi-classical limit of the Schr\"odinger equation Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-05T18:09:41.063575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T18:09:35.370673Z digest=sha256:9cc7ed97e431ff96cf586035c7851439f1415c128d26a215e200da7bd0496e91

Observation a827de59-8b86-4626-8533-f148e65b8899 · outbound

This paper cites an unresolved cited work.

Deep learning for the semi-classical limit of the Schr\"odinger equation Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-05T18:09:40.782749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T18:09:35.476538Z digest=sha256:98042777176bbd532d96b7886c671f482d0ee328fa48ad2e00f387b73c47f4d3

Observation d240fb40-ffac-4de2-b10a-f3228d305d76 · outbound

This paper cites Russo, P.

Deep learning for the semi-classical limit of the Schr\"odinger equation Russo, P

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:09:40.502688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T18:09:35.581954Z digest=sha256:5370123bb369c0e94e7219277222131d94d3ddf1ac3606bb1017ad10edc113f5

Observation 2fbead2c-ae03-416e-aa0d-98b2a70145ff · outbound

This paper cites an unresolved cited work.

Deep learning for the semi-classical limit of the Schr\"odinger equation Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-05T18:09:40.198282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T18:09:35.642105Z digest=sha256:969985f74c292a7ad2129351e2d9e36ec2db83cd9aee7ba0dfb6416117d88420

Observation f1709ea1-8121-4db0-b72a-c6e4ad925a8b · outbound

This paper cites Wu, X.-B.

Deep learning for the semi-classical limit of the Schr\"odinger equation Wu, X.-B

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:09:39.960263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T18:09:35.748786Z digest=sha256:2373c578e0ea0392ef240d127ecb5e0355d0ec00d5d1ac7730be684ea28a35f7

Observation 85bd8fa1-ca4f-4b96-bee6-c38c287eb5d2 · outbound

This paper cites an unresolved cited work.

Deep learning for the semi-classical limit of the Schr\"odinger equation Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-05T18:09:39.658186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T18:09:35.852903Z digest=sha256:d4f20f09a4003a93fa05cff781bc7cbb9f3f326d71106e07c05915fa1e3d606c

Observation 728f04a0-7645-4921-af25-da614668fa00 · outbound

This paper cites Leung, J.

Deep learning for the semi-classical limit of the Schr\"odinger equation Leung, J

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:09:39.396539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T18:09:35.985878Z digest=sha256:e8ace0a9e6314a3434f338a9bc6f91317299d5f4e0a5099801c30cd6de206734

Observation 2f17b4dd-24fd-46d7-bb32-3eaa3a2fe00b · outbound

This paper cites an unresolved cited work.

Deep learning for the semi-classical limit of the Schr\"odinger equation Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-05T18:09:39.040306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T18:09:36.096406Z digest=sha256:da29549e4026c999867a36bc90806a96322f0682b2ab134fb07ce2a9dedb9765

Observation d5f33d96-180b-48e7-acbe-0165bf1ef19c · outbound

This paper cites an unresolved cited work.

Deep learning for the semi-classical limit of the Schr\"odinger equation Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-05T18:09:38.871934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T18:09:36.194245Z digest=sha256:ffecb47cec2a9cf0b17b4eaa317ec0cf40bc4ce28530896698f23790315e54b8

Observation e2e6365b-8446-49ab-8e54-1481669f9ed3 · outbound

This paper cites Russo, P.

Deep learning for the semi-classical limit of the Schr\"odinger equation Russo, P

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:09:38.559778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T18:09:36.284071Z digest=sha256:691857a0450c6dfbaa95e4db4cfe09d12678a1e477a30cdfd47896daeac25ae9

Observation 0b650d26-1ac0-4606-abaf-136cdc2d1cf0 · outbound

This paper cites an unresolved cited work.

Deep learning for the semi-classical limit of the Schr\"odinger equation Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-05T18:09:38.301570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T18:09:36.489432Z digest=sha256:b452d80e5dbb71e0b2aec2c07c9d9ed2fd81cdba4368c7881c032bc1ab12cdf5

Observation 307ea46b-7978-41e1-a96b-62300f3a56d4 · outbound

This paper cites Glorot, Y.

Deep learning for the semi-classical limit of the Schr\"odinger equation Glorot, Y

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:09:38.085028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T18:09:36.576976Z digest=sha256:21ee032ddb765020806d9cb7742d6b0c99d9604ee561a998202a167f900f7308

Observation 05ed24bc-0fb9-434c-85c8-8053e63d308e · outbound

This paper cites an unresolved cited work.

Deep learning for the semi-classical limit of the Schr\"odinger equation Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-05T18:09:37.857678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T18:09:36.704870Z digest=sha256:37cc46fbd4bd75a5dc5936d7c66e18c7cfa0c8e813dbd713f14535198e872346

Observation 93e50b85-37ed-4c52-94c6-6a74f4617bd9 · outbound

This paper cites an unresolved cited work.

Deep learning for the semi-classical limit of the Schr\"odinger equation Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-05T18:09:37.657429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T18:09:36.832362Z digest=sha256:128ca7a6893eb3c5cfc5c0e1b5a698135c1250657512794519fb40f969ab1f36

Observation e43892e3-ec4a-4714-b9e0-7c3fca6f8616 · outbound

This paper cites Molinaro, Y.

Deep learning for the semi-classical limit of the Schr\"odinger equation Molinaro, Y

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T18:09:37.362085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T18:09:36.968681Z digest=sha256:8b5c2fe4420b3e1a1ae8daad10355f1911fdda3bc0b96c6bde696c92ca574777

Pith citing papers

No inbound Pith citation observations are available.