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Paper Citation Record · LEDGER

Deep variational free energy prediction of dense hydrogen solid at 1200K

As of 14 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 1 inbound Pith citation observation for arXiv:2501.09590.

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

pith.paper-citation-record.v1
2501.09590 v2

Coverage vector

measured 57 of 57 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T19:56:32.627050Z

measured 58 of 58 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-22T20:08:33.775905Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-22T20:12:03.608025Z

Reference resolution

57 of 57 outbound references displayed

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External citation measurements

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Outbound references

Observation 076ac61f-3c1c-4488-8da1-f5557428442b · outbound

This paper cites f(Ξ) = f(Ξ + s), (A1) f(..., ξα,.

Deep variational free energy prediction of dense hydrogen solid at 1200K f(Ξ) = f(Ξ + s), (A1) f(..., ξα,

Reference 1

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Observation c8964ab3-8359-4c61-8583-173279d84000 · outbound

This paper cites dense layer.

Deep variational free energy prediction of dense hydrogen solid at 1200K dense layer

Reference 2

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Observation 8a525d32-d22b-4cc3-baa5-819d6151311d · outbound

This paper cites 1: ϕδ i, hα← orbitals(ξα, tα, w, rs) ▷ Algorithm 3 2: eδ i← envelope(hI, riI, rs) ▷ Eq.

Deep variational free energy prediction of dense hydrogen solid at 1200K 1: ϕδ i, hα← orbitals(ξα, tα, w, rs) ▷ Algorithm 3 2: eδ i← envelope(hI, riI, rs) ▷ Eq

Reference 3

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Observation 5cd13652-613f-4a6d-ad19-cac39f926f62 · outbound

This paper cites Mao and R.

Deep variational free energy prediction of dense hydrogen solid at 1200K Mao and R

Reference 4

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Observation 7d3b6216-7ada-4eb1-b1c2-0cd2ec3a3187 · outbound

This paper cites an unresolved cited work.

Deep variational free energy prediction of dense hydrogen solid at 1200K Unresolved cited work

Reference 5

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Observation 5acac488-7858-4377-bb38-f295cd512f85 · outbound

This paper cites Loubeyre, R.

Deep variational free energy prediction of dense hydrogen solid at 1200K Loubeyre, R

Reference 6

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Observation a7fb1b0c-cba1-4aec-8a28-e49729748968 · outbound

This paper cites Akahama, M.

Deep variational free energy prediction of dense hydrogen solid at 1200K Akahama, M

Reference 7

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Observation 711ec461-4018-4a51-a799-cea75af75fcc · outbound

This paper cites an unresolved cited work.

Deep variational free energy prediction of dense hydrogen solid at 1200K Unresolved cited work

Reference 8

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Observation c77e1f7f-028f-4af4-857c-2d7921314794 · outbound

This paper cites an unresolved cited work.

Deep variational free energy prediction of dense hydrogen solid at 1200K Unresolved cited work

Reference 9

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Observation 3c9059a9-78a9-4ac7-b7ce-77c1a73b074a · outbound

This paper cites Li, High-pressure structures of solid hydrogen: Insights from ab initio molecular dynamics simulations, The Journal of Chemical Physics 160 (2024).

Deep variational free energy prediction of dense hydrogen solid at 1200K Li, High-pressure structures of solid hydrogen: Insights from ab initio molecular dynamics simulations, The Journal of Chemical Physics 160 (2024)

Reference 10

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Observation b4fa9386-71ad-4b0a-ad41-409d4476f645 · outbound

This paper cites Wigner and H.

Deep variational free energy prediction of dense hydrogen solid at 1200K Wigner and H

Reference 11

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Observation e5f99baa-71ce-4398-8f06-a7c332caa772 · outbound

This paper cites Landau and Y.

Deep variational free energy prediction of dense hydrogen solid at 1200K Landau and Y

Reference 12

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Observation 88a1e88c-c0ee-412b-a666-c29d2a734272 · outbound

This paper cites an unresolved cited work.

Deep variational free energy prediction of dense hydrogen solid at 1200K Unresolved cited work

Reference 13

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Deep variational free energy prediction of dense hydrogen solid at 1200K Unresolved cited work

Reference 14

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Observation 7c291054-1922-4265-9a20-861df3fb1f6e · outbound

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Deep variational free energy prediction of dense hydrogen solid at 1200K Unresolved cited work

Reference 15

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Observation 5d4fd5cf-8afa-4edd-8c05-ab02a6c201ba · outbound

This paper cites Zaghoo and I.

Deep variational free energy prediction of dense hydrogen solid at 1200K Zaghoo and I

Reference 16

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Observation 50165795-0f4d-4270-b2a6-05568692a857 · outbound

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Deep variational free energy prediction of dense hydrogen solid at 1200K Unresolved cited work

Reference 17

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Observation bcb4ee73-becc-4df0-8482-bddfaac145d3 · outbound

This paper cites Lorenzen, B.

Deep variational free energy prediction of dense hydrogen solid at 1200K Lorenzen, B

Reference 18

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Observation 4068a096-fcdd-47a8-a9ad-3cdc4f7389bf · outbound

This paper cites an unresolved cited work.

Deep variational free energy prediction of dense hydrogen solid at 1200K Unresolved cited work

Reference 19

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Observation e2a20ac8-69ac-4fdb-93ef-56c3143e4af8 · outbound

This paper cites van de Bund, H.

Deep variational free energy prediction of dense hydrogen solid at 1200K van de Bund, H

Reference 20

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Deep variational free energy prediction of dense hydrogen solid at 1200K Unresolved cited work

Reference 22

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Observation 5f432409-a969-4053-995d-252efe32adae · outbound

This paper cites Pierleoni, M.

Deep variational free energy prediction of dense hydrogen solid at 1200K Pierleoni, M

Reference 23

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Deep variational free energy prediction of dense hydrogen solid at 1200K Unresolved cited work

Reference 24

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Observation a2c0deb4-3279-42f2-8deb-d181f81596c2 · outbound

This paper cites Mazzola, S.

Deep variational free energy prediction of dense hydrogen solid at 1200K Mazzola, S

Reference 25

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Observation 5bc6b7bd-2209-4955-94b9-a0f1a0d531b3 · outbound

This paper cites Cheng, G.

Deep variational free energy prediction of dense hydrogen solid at 1200K Cheng, G

Reference 26

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Observation 999fb6c6-a987-480d-906e-5b0837c3fa1a · outbound

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Deep variational free energy prediction of dense hydrogen solid at 1200K Unresolved cited work

Reference 27

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Observation 178f30b0-eecb-49f0-b5fc-06b9b8c0f131 · outbound

This paper cites Tirelli, G.

Deep variational free energy prediction of dense hydrogen solid at 1200K Tirelli, G

Reference 28

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Source-reported events for the cited work

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Observation 374e5ed2-d4da-4004-84b2-4c45dd37b17d · outbound

This paper cites The liquid-liquid phase transition of hydrogen and its critical point: Analysis from ab initio simulation and a machine-learned potential.

Deep variational free energy prediction of dense hydrogen solid at 1200K The liquid-liquid phase transition of hydrogen and its critical point: Analysis from ab initio simulation and a machine-learned potential

Reference 29

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Source-reported events for the cited work

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Observation 822117a7-91a1-4f62-8259-0d5eb9f0d0f0 · outbound

This paper cites an unresolved cited work.

Deep variational free energy prediction of dense hydrogen solid at 1200K Unresolved cited work

Reference 30

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Source-reported events for the cited work

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Observation 2f878c53-cc35-40be-83f9-023dd183f5cb · outbound

This paper cites High temperature melting of dense molecular hydrogen from machine-learning interatomic potentials trained on quantum Monte Carlo.

Deep variational free energy prediction of dense hydrogen solid at 1200K High temperature melting of dense molecular hydrogen from machine-learning interatomic potentials trained on quantum Monte Carlo

Reference 31

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 16aa78fb-6120-4e1c-b925-241066548be0 · outbound

This paper cites Xie, Z.-H.

Deep variational free energy prediction of dense hydrogen solid at 1200K Xie, Z.-H

Reference 32

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 2c1c3f68-6250-4019-98da-d16115b8da2b · outbound

This paper cites Pierleoni, D.

Deep variational free energy prediction of dense hydrogen solid at 1200K Pierleoni, D

Reference 33

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation a64335cf-dab9-4306-a8bb-3b473ec94661 · outbound

This paper cites Attaccalite and S.

Deep variational free energy prediction of dense hydrogen solid at 1200K Attaccalite and S

Reference 34

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 2863a2ef-5998-4696-a768-b1f703547345 · outbound

This paper cites Azadi and W.

Deep variational free energy prediction of dense hydrogen solid at 1200K Azadi and W

Reference 35

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 7ccb8e4b-4b78-44fe-9afc-7513ca0027a2 · outbound

This paper cites an unresolved cited work.

Deep variational free energy prediction of dense hydrogen solid at 1200K Unresolved cited work

Reference 36

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation f466f7ba-9874-4c18-be82-8e22e6b3747a · outbound

This paper cites Goodfellow, Y.

Deep variational free energy prediction of dense hydrogen solid at 1200K Goodfellow, Y

Reference 37

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 36c0ad9e-df96-4a8f-b9fc-648c7a997201 · outbound

This paper cites Li and L.

Deep variational free energy prediction of dense hydrogen solid at 1200K Li and L

Reference 38

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 73dd9a7f-f4dc-4adb-bb23-19e116f0a2fe · outbound

This paper cites an unresolved cited work.

Deep variational free energy prediction of dense hydrogen solid at 1200K Unresolved cited work

Reference 39

Resolution
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no resolver link, observed 2026-08-10T19:56:32.545217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation dcf8aef8-a0cf-4bab-8509-c3b9353d5998 · outbound

This paper cites Zhang, J.

Deep variational free energy prediction of dense hydrogen solid at 1200K Zhang, J

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-10T19:56:32.550308Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 49d1f28e-08e1-43fa-abec-6311883540ae · outbound

This paper cites Gao and S.

Deep variational free energy prediction of dense hydrogen solid at 1200K Gao and S

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:56:32.903205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation eb7f880e-e26e-44d0-aa16-e18aa0378b7c · outbound

This paper cites Scherbela, R.

Deep variational free energy prediction of dense hydrogen solid at 1200K Scherbela, R

Reference 42

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 8ff7390a-ee8e-4e71-90b2-2b754e15dfc2 · outbound

This paper cites an unresolved cited work.

Deep variational free energy prediction of dense hydrogen solid at 1200K Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:56:32.881065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 69586f6e-4c6a-4d68-8a00-fa6df24bd239 · outbound

This paper cites an unresolved cited work.

Deep variational free energy prediction of dense hydrogen solid at 1200K Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:56:32.869111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 58b99cea-6fbb-483f-8275-6dd1ae040564 · outbound

This paper cites an unresolved cited work.

Deep variational free energy prediction of dense hydrogen solid at 1200K Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:56:32.855740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 1c353aa6-b65d-4a69-a6fc-68390981f876 · outbound

This paper cites Mazzola, R.

Deep variational free energy prediction of dense hydrogen solid at 1200K Mazzola, R

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:56:32.843021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation b5eee25c-c89f-4cce-ba5e-5f70941a3d70 · outbound

This paper cites an unresolved cited work.

Deep variational free energy prediction of dense hydrogen solid at 1200K Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:56:32.830388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 3389587e-96ef-4c61-8443-7e30c424f52a · outbound

This paper cites an unresolved cited work.

Deep variational free energy prediction of dense hydrogen solid at 1200K Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:56:32.818315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation c762bd65-c8fd-4e76-a724-c2ab83bb34f9 · outbound

This paper cites Zhang, R.-S.

Deep variational free energy prediction of dense hydrogen solid at 1200K Zhang, R.-S

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:56:32.805325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 7fe67bd2-783d-4142-aad6-b5128c0eda23 · outbound

This paper cites an unresolved cited work.

Deep variational free energy prediction of dense hydrogen solid at 1200K Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:56:32.791886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation a7937968-7bf6-49f5-9337-e7b0e2914c45 · outbound

This paper cites Casula and S.

Deep variational free energy prediction of dense hydrogen solid at 1200K Casula and S

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:56:32.778649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation b6e6d02d-d5c2-45a7-86b0-d52675ae0575 · outbound

This paper cites Jumper, R.

Deep variational free energy prediction of dense hydrogen solid at 1200K Jumper, R

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:56:32.764612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 0addd711-51f1-403d-a063-6bdf2f642b20 · outbound

This paper cites Zhang, H.

Deep variational free energy prediction of dense hydrogen solid at 1200K Zhang, H

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:56:32.749995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 12c8982f-42e7-48b8-80ba-41bdfb3ccde9 · outbound

This paper cites an unresolved cited work.

Deep variational free energy prediction of dense hydrogen solid at 1200K Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:56:32.736352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 53aa892a-4ea7-4cbb-bce6-39cd140bfdb6 · outbound

This paper cites an unresolved cited work.

Deep variational free energy prediction of dense hydrogen solid at 1200K Unresolved cited work

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-10T19:56:32.614890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T19:56:32.614890Z digest=sha256:93ab9ef77ff20d02104850b2b71d4c079eff4ebb3e649be68a741ba7e5bb6190

Observation 983ca458-d2a7-4834-b5a0-c48d6529467f · outbound

This paper cites an unresolved cited work.

Deep variational free energy prediction of dense hydrogen solid at 1200K Unresolved cited work

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-10T19:56:32.618881Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T19:56:32.618881Z digest=sha256:69cdc41594a6889c68d0362d9ac2f5c6fdd828e5a90cf2e682d0f17458c9a81d

Observation 92efd328-457a-4fa4-ab34-22b315d49efc · outbound

This paper cites Zhang, J.

Deep variational free energy prediction of dense hydrogen solid at 1200K Zhang, J

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:56:32.707658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation dcdb09a9-5bb7-44a6-8be6-a6091f4f63ad · outbound

This paper cites Wirnsberger, G.

Deep variational free energy prediction of dense hydrogen solid at 1200K Wirnsberger, G

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:56:32.693981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T19:56:32.627050Z digest=sha256:c3566a6c22e3493aa46d0ec782859085e437dfc2315c4be8d49559e7ca4c3bc5

Pith citing papers

Observation 871513e3-f1a7-4efa-89a2-9f23bb3774b6 · inbound

Neural Wave Functions for High-Pressure Atomic Hydrogen cites this paper.

Neural Wave Functions for High-Pressure Atomic Hydrogen Deep variational free energy prediction of dense hydrogen solid at 1200K

Reference 22

Resolution
verified exact
arxiv_id, observed 2026-05-22T20:12:03.610643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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