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Paper Citation Record · LEDGER

A neural network-based four-body potential energy surface for parahydrogen

As of 8 August 2026, this Paper Citation Record lists 63 of 63 outbound references and 0 inbound Pith citation observations for arXiv:2506.05540.

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

pith.paper-citation-record.v1
2506.05540 v1

Coverage vector

measured 63 of 63 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:27:33.339161Z

measured 63 of 63 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

63 of 63 outbound references displayed

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  • verified fuzzy16
  • unresolved47
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 697c7b5a-2684-4464-86b1-386e37e2d103 · outbound

This paper cites an unresolved cited work.

A neural network-based four-body potential energy surface for parahydrogen Unresolved cited work

Reference 1

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Observation 936521e6-8799-408c-abf6-72297c130d8e · outbound

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A neural network-based four-body potential energy surface for parahydrogen Unresolved cited work

Reference 2

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Observation ff8dbea9-bbdc-4922-a448-bf5c105567de · outbound

This paper cites Alkan, P.

A neural network-based four-body potential energy surface for parahydrogen Alkan, P

Reference 3

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Observation ced4de41-04f0-44b5-b11e-355454baa191 · outbound

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A neural network-based four-body potential energy surface for parahydrogen Unresolved cited work

Reference 4

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Observation 7a9fd06a-ae04-4f72-b4a2-b74521a48903 · outbound

This paper cites an unresolved cited work.

A neural network-based four-body potential energy surface for parahydrogen Unresolved cited work

Reference 5

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Observation 669f7e4c-4dbb-4dfd-b939-10f03bef5145 · outbound

This paper cites an unresolved cited work.

A neural network-based four-body potential energy surface for parahydrogen Unresolved cited work

Reference 6

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Observation 6fe08084-3afa-45da-8769-196844997fb2 · outbound

This paper cites an unresolved cited work.

A neural network-based four-body potential energy surface for parahydrogen Unresolved cited work

Reference 7

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Observation 015ecba0-bea5-48bf-9e81-318b2fade7c9 · outbound

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A neural network-based four-body potential energy surface for parahydrogen Unresolved cited work

Reference 8

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Observation 3ac39425-7fad-4bc2-8f36-a8a24a1c8156 · outbound

This paper cites Bostanjoglo and R.

A neural network-based four-body potential energy surface for parahydrogen Bostanjoglo and R

Reference 9

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Observation 668bfc15-3336-4440-bc36-41aa0eae9dad · outbound

This paper cites van Kranendonk, Solid hydrogen: T heory of the properties of solid H _2 , H D , and D _2.

A neural network-based four-body potential energy surface for parahydrogen van Kranendonk, Solid hydrogen: T heory of the properties of solid H _2 , H D , and D _2

Reference 10

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Observation da2f760b-f063-4382-8297-53beca64ec7b · outbound

This paper cites Fernandez-Alonso, C.

A neural network-based four-body potential energy surface for parahydrogen Fernandez-Alonso, C

Reference 11

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Observation 45b83f51-4df8-4521-bef4-aa5c3f68359f · outbound

This paper cites Dusseault and M.

A neural network-based four-body potential energy surface for parahydrogen Dusseault and M

Reference 12

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Observation f9644051-5ee1-46fd-9bcf-ae97b6e2c0b0 · outbound

This paper cites an unresolved cited work.

A neural network-based four-body potential energy surface for parahydrogen Unresolved cited work

Reference 13

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Observation 50c88458-d4f4-4457-919b-db9cc4bd0fcc · outbound

This paper cites Zoppi and M.

A neural network-based four-body potential energy surface for parahydrogen Zoppi and M

Reference 14

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Observation cbb37d71-552d-4fbb-bcd4-f21c54058715 · outbound

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A neural network-based four-body potential energy surface for parahydrogen Unresolved cited work

Reference 15

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Observation 57b2bf3c-c159-42fd-b2f8-22a6aa27f02f · outbound

This paper cites Wind and I.

A neural network-based four-body potential energy surface for parahydrogen Wind and I

Reference 16

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Observation dda2f68f-12a6-4a03-a1b4-e5dec9c046ad · outbound

This paper cites an unresolved cited work.

A neural network-based four-body potential energy surface for parahydrogen Unresolved cited work

Reference 17

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Observation 517bf120-8245-4fe1-b8b2-51c05ff5e9b1 · outbound

This paper cites Manzhos, K.

A neural network-based four-body potential energy surface for parahydrogen Manzhos, K

Reference 18

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Observation 091db7e4-11e9-4463-abf5-22386e834787 · outbound

This paper cites Ibrahim and P.-N.

A neural network-based four-body potential energy surface for parahydrogen Ibrahim and P.-N

Reference 19

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Observation ca537c1d-dfda-4ab1-ac33-e5b8506e7136 · outbound

This paper cites Paszke, S.

A neural network-based four-body potential energy surface for parahydrogen Paszke, S

Reference 20

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Observation 19c239ce-0d4d-4e16-b186-5853668a8cf2 · outbound

This paper cites Abadi, A.

A neural network-based four-body potential energy surface for parahydrogen Abadi, A

Reference 21

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A neural network-based four-body potential energy surface for parahydrogen Unresolved cited work

Reference 22

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Observation 0f3f62e8-9431-40aa-a884-042e4a1999db · outbound

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A neural network-based four-body potential energy surface for parahydrogen Unresolved cited work

Reference 23

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A neural network-based four-body potential energy surface for parahydrogen Unresolved cited work

Reference 24

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Observation 573b436a-457a-4306-824e-82649f1e4ffd · outbound

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A neural network-based four-body potential energy surface for parahydrogen Unresolved cited work

Reference 25

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Observation 98dd917a-35fc-44c2-a3a1-121cc69a76e4 · outbound

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A neural network-based four-body potential energy surface for parahydrogen Unresolved cited work

Reference 26

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A neural network-based four-body potential energy surface for parahydrogen Unresolved cited work

Reference 27

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Observation 2d036ec6-54a9-48c0-8217-6d50c8d99291 · outbound

This paper cites Diep and J.

A neural network-based four-body potential energy surface for parahydrogen Diep and J

Reference 28

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A neural network-based four-body potential energy surface for parahydrogen Unresolved cited work

Reference 29

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Observation b88f0c3d-bcb0-4a39-b345-a1534bd170e5 · outbound

This paper cites Patkowski, W.

A neural network-based four-body potential energy surface for parahydrogen Patkowski, W

Reference 30

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Observation 0ebd3890-0ca0-40d4-b04c-2be37e376774 · outbound

This paper cites Faruk, M.

A neural network-based four-body potential energy surface for parahydrogen Faruk, M

Reference 31

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Observation d4267dae-bb37-4835-8d90-fc51469c712d · outbound

This paper cites Omiyinka and M.

A neural network-based four-body potential energy surface for parahydrogen Omiyinka and M

Reference 32

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Observation dabed18b-c6a5-4a8c-aec8-4f2ed9762da4 · outbound

This paper cites Operetto and F.

A neural network-based four-body potential energy surface for parahydrogen Operetto and F

Reference 33

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A neural network-based four-body potential energy surface for parahydrogen Unresolved cited work

Reference 34

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Source-reported events for the cited work

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Observation 785163a5-7dcb-41b4-a78c-2dafbeccdadd · outbound

This paper cites Muto, ``Force between nonpolar molecules,'' J.\ Phys.\ Math.\ Soc.\ Jpn.

A neural network-based four-body potential energy surface for parahydrogen Muto, ``Force between nonpolar molecules,'' J.\ Phys.\ Math.\ Soc.\ Jpn

Reference 35

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Observation cc8c2ad3-cd83-43e1-95e9-5dd7deafc48c · outbound

This paper cites Tao and Y.-K.

A neural network-based four-body potential energy surface for parahydrogen Tao and Y.-K

Reference 36

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

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Observation 6a3ef0bd-dac5-4f7a-8ef3-13199c9b0b30 · outbound

This paper cites Hollebeek, T.-S.

A neural network-based four-body potential energy surface for parahydrogen Hollebeek, T.-S

Reference 37

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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 e7983215-5fca-492d-9951-7d44fd8603f5 · outbound

This paper cites Ho and H.

A neural network-based four-body potential energy surface for parahydrogen Ho and H

Reference 38

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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 28a757fe-f41f-43d9-913e-3bd17113c3b4 · outbound

This paper cites an unresolved cited work.

A neural network-based four-body potential energy surface for parahydrogen Unresolved cited work

Reference 39

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raw_fallback, observed 2026-08-07T10:27:33.657641Z

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=arxiv_source observed=2026-08-07T10:27:33.246961Z digest=sha256:59f9bb07ea22fc36e3950e742fd2953f612a9a829f32b48551789ebb4be772a5

Observation 1e6c3ed5-c45c-44c1-a25c-c7ecd5f5553d · outbound

This paper cites u tt, A. Tkatchenko, and K.-R. M \.

A neural network-based four-body potential energy surface for parahydrogen u tt, A. Tkatchenko, and K.-R. M \

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-07T10:27:33.251254Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:27:33.251254Z digest=sha256:7afc40f277d680decfddf18c0b2e6ea443aa4f36e981793b5e7bcae0d373054f

Observation 194a80fd-457f-48b4-9549-da1cc5f978c8 · outbound

This paper cites Ibrahim and P.-N.

A neural network-based four-body potential energy surface for parahydrogen Ibrahim and P.-N

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-07T10:27:33.255085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:27:33.255085Z digest=sha256:b1548f6a8e18de8b62090a1bc8d0499eeb76c2284a366f428e74eaae3cda1ea9

Observation d6eb5d42-c1c8-4691-90c0-a498fd4d2738 · outbound

This paper cites Ibrahim, L.

A neural network-based four-body potential energy surface for parahydrogen Ibrahim, L

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-07T10:27:33.259014Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:27:33.259014Z digest=sha256:0d2690a4c2a08c176859e46506aec34cc5a5eb17e54ee138874f4a70cf369937

Observation a8f17b8f-4e12-46b4-bdaa-a00c082539b3 · outbound

This paper cites an unresolved cited work.

A neural network-based four-body potential energy surface for parahydrogen Unresolved cited work

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-07T10:27:33.262666Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:27:33.262666Z digest=sha256:793aad8e837fdb79731792aed1b6649b1fad406b4f75ff4ab874cd4a12e198b0

Observation 6f544eb9-e23e-4e68-a110-0325709158cb · outbound

This paper cites an unresolved cited work.

A neural network-based four-body potential energy surface for parahydrogen Unresolved cited work

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-07T10:27:33.266620Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:27:33.266620Z digest=sha256:8b59e024f5b93c652ee4dfc4becaaecd32c0ef4165454f655d9f208ecdb19181

Observation 00c42606-6efc-4f5a-8352-8d91318736f1 · outbound

This paper cites an unresolved cited work.

A neural network-based four-body potential energy surface for parahydrogen Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:27:33.598982Z

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=arxiv_source observed=2026-08-07T10:27:33.270526Z digest=sha256:8e6e5d2a0acfb0e68ae1fc8b85743fa135034f8fa423f6f565e7fc986e3397e4

Observation ba3eed07-3d3d-4906-8a8a-be08fc40598b · outbound

This paper cites an unresolved cited work.

A neural network-based four-body potential energy surface for parahydrogen Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:27:33.586140Z

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=arxiv_source observed=2026-08-07T10:27:33.274255Z digest=sha256:d89ee221b08ce378d896e5ad1ec909f56daa1aec4b7f9a5bb0658dc159c8c109

Observation 13c011b4-da73-4248-ba16-d5af0f2b44cf · outbound

This paper cites an unresolved cited work.

A neural network-based four-body potential energy surface for parahydrogen Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:27:33.573630Z

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=arxiv_source observed=2026-08-07T10:27:33.278063Z digest=sha256:eb50852271e1e5463d744c8c0b49eb88ed3f47fd64e3579e17f165aa394ae310

Observation ce9b890e-95de-473e-9c3b-c8a2d9e82e49 · outbound

This paper cites Rolik, L.

A neural network-based four-body potential energy surface for parahydrogen Rolik, L

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:27:33.561574Z

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=arxiv_source observed=2026-08-07T10:27:33.281831Z digest=sha256:0352a462d8a5e6e72beab09073df956985084a1c3f5303df906b179b0ccea883

Observation 7e4416d4-798e-4e30-86eb-0a1918368268 · outbound

This paper cites Raghavachari, G.

A neural network-based four-body potential energy surface for parahydrogen Raghavachari, G

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:27:33.548032Z

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=arxiv_source observed=2026-08-07T10:27:33.285704Z digest=sha256:d059ac6ed9d3d3b045c95fd1d0fe249b6ee58884e2d582b2b461d4543e3ec037

Observation 3e87c227-7b67-4ff4-be12-18294e2d077a · outbound

This paper cites an unresolved cited work.

A neural network-based four-body potential energy surface for parahydrogen Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:27:33.534768Z

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=arxiv_source observed=2026-08-07T10:27:33.289534Z digest=sha256:7165cb779ae82b41e4661a2699ea3bb74f2076c6c8547a4015b9562ccdcb043b

Observation e8fc2eac-a8b3-4396-aacc-c59123e34799 · outbound

This paper cites an unresolved cited work.

A neural network-based four-body potential energy surface for parahydrogen Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:27:33.521696Z

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=arxiv_source observed=2026-08-07T10:27:33.293180Z digest=sha256:8e6cce0b01df3484e2aed1ea9ed664b725823ed98b2dcbdd05e8f60561012299

Observation 6cd2e2cc-86f0-449e-8b21-407f75028282 · outbound

This paper cites Wang and T.

A neural network-based four-body potential energy surface for parahydrogen Wang and T

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:27:33.508731Z

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=arxiv_source observed=2026-08-07T10:27:33.296797Z digest=sha256:a478cf388ce8aed986ea043c387fd5fc084f16ed3e951149e8f6c93da7f13fdc

Observation fffea4bc-c888-47dd-a9fa-fbae94a42ac0 · outbound

This paper cites Garberoglio, ``On the contribution of non-additive three-body interactions to the third virial coefficient of para-hydrogen,'' Chem.\ Phys.\ Lett.

A neural network-based four-body potential energy surface for parahydrogen Garberoglio, ``On the contribution of non-additive three-body interactions to the third virial coefficient of para-hydrogen,'' Chem.\ Phys.\ Lett

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:27:33.495231Z

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=arxiv_source observed=2026-08-07T10:27:33.300671Z digest=sha256:e9da423f0ef65991db7d1dd3c7ef65b4ad3a42c5d681a07285af34e2ebb93dee

Observation f2f9b551-9119-48d0-92a3-2296d9e51ee8 · outbound

This paper cites an unresolved cited work.

A neural network-based four-body potential energy surface for parahydrogen Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:27:33.479798Z

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=arxiv_source observed=2026-08-07T10:27:33.304509Z digest=sha256:594d51a2aea807a4896b80b6e867e42d3b66cf8b9ae7114277e6f1e2d146e38a

Observation b6dce185-853e-4edc-a6e6-43739db7c39e · outbound

This paper cites Fukushima, ``Cognitron: A self-organizing multilayered neural network,'' Biol.\ Cybernetics , vol.

A neural network-based four-body potential energy surface for parahydrogen Fukushima, ``Cognitron: A self-organizing multilayered neural network,'' Biol.\ Cybernetics , vol

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:27:33.465770Z

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=arxiv_source observed=2026-08-07T10:27:33.308169Z digest=sha256:e5d71153217b048e706f9abb1183bceacc5ffb62e750475f1ce850c128bb21fd

Observation d1cc71ea-61fc-4f07-9570-5d5d516aa532 · outbound

This paper cites u tt, H. E. Sauceda, P.-J. Kindermans, A. Tkatchenko, and K.-R. M \.

A neural network-based four-body potential energy surface for parahydrogen u tt, H. E. Sauceda, P.-J. Kindermans, A. Tkatchenko, and K.-R. M \

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:27:33.452222Z

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=arxiv_source observed=2026-08-07T10:27:33.312038Z digest=sha256:b8bfe7190b784e5d20afa8cd92a1445649a1d60570b734bcf1e23b0b77b6b6a3

Observation f8980941-f1d9-4674-b942-05e337fb07d3 · outbound

This paper cites LeNail, `` N N - S V G : P ublication-ready neural network architecture schematics,'' J.\ Open\ Source\ Softw.

A neural network-based four-body potential energy surface for parahydrogen LeNail, `` N N - S V G : P ublication-ready neural network architecture schematics,'' J.\ Open\ Source\ Softw

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:27:33.438868Z

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=arxiv_source observed=2026-08-07T10:27:33.315865Z digest=sha256:34e4eaf47fb9baf03089decc9941a45775065dec59e534b3660caba6f55a88a4

Observation 5c822111-0d6a-4a2e-a180-a15936cc1d9c · outbound

This paper cites Midzuno and T.

A neural network-based four-body potential energy surface for parahydrogen Midzuno and T

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:27:33.424886Z

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=arxiv_source observed=2026-08-07T10:27:33.319544Z digest=sha256:9a6ab3e5cebb8f0a7a546bf5933e89d7378b3f36e539fc902ae2195723551d64

Observation 732ff229-2c86-40dd-93d2-fb5dbc5db598 · outbound

This paper cites Schmidt, J.

A neural network-based four-body potential energy surface for parahydrogen Schmidt, J

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-07T10:27:33.323576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:27:33.323576Z digest=sha256:2db3051b4b36e9df143f8b2c99c69dff024b5ebbfc488d08d62e39ab27529441

Observation 2642fe37-71cf-4e2b-bdd8-f8dd3dc6ee17 · outbound

This paper cites an unresolved cited work.

A neural network-based four-body potential energy surface for parahydrogen Unresolved cited work

Reference 60

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:27:33.402687Z

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=arxiv_source observed=2026-08-07T10:27:33.327367Z digest=sha256:6418a94114b483e8b4bb62b05b1adb03e4d5b1761f6b8f80e5205d7bafba45b1

Observation d8c8dfd0-8cec-4dc3-ac77-52bde80b4550 · outbound

This paper cites Tian, F.-S.

A neural network-based four-body potential energy surface for parahydrogen Tian, F.-S

Reference 61

Resolution
unresolved
no resolver link, observed 2026-08-07T10:27:33.331684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:27:33.331684Z digest=sha256:1ec3fbe25c662080dbc947fe5e48a42434089d1e4206e8b29d696d92bd26c7ee

Observation 1d514056-fd80-4a04-aaf9-232b90d11e3d · outbound

This paper cites an unresolved cited work.

A neural network-based four-body potential energy surface for parahydrogen Unresolved cited work

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-07T10:27:33.335299Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:27:33.335299Z digest=sha256:50e84de718775d70eaeead0d834d77d06c8cee19fad84c8ae821680cc7e9c0e6

Observation be514b51-b493-485a-a5d0-1bf760c42ffc · outbound

This paper cites Ro\' s ciszewski, B.

A neural network-based four-body potential energy surface for parahydrogen Ro\' s ciszewski, B

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-07T10:27:33.339161Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:27:33.339161Z digest=sha256:2e25861f9a1092e688ad10856cd7c73b447a810052dd3e125b6ac4e12765be96

Pith citing papers

No inbound Pith citation observations are available.