Paper Citation Record · LEDGER

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning

As of 16 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2412.10821.

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

pith.paper-citation-record.v1
2412.10821 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T15:39:03.231651Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

43 of 43 outbound references displayed

verified exact18
verified fuzzy5
unresolved19
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f13b80ed-78c6-4f2b-9a74-ac91ee29fd6a · outbound

This paper cites Lewenstein, A.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Lewenstein, A

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-11T15:39:02.981742Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b30a7952-a5a1-4f94-bf4c-a18282e8302c · outbound

This paper cites Curtarolo, W.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Curtarolo, W

Reference 2

Resolution: verified exact; doi, observed 2026-08-11T15:39:04.058481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 59cd64eb-df19-4456-a8f8-d04c62d84d57 · outbound

This paper cites an unresolved cited work.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Unresolved cited work

Reference 3

Resolution: verified exact; doi, observed 2026-08-11T15:39:04.036867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 70821d61-621a-4799-8565-300a1efd6073 · outbound

This paper cites an unresolved cited work.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Unresolved cited work

Reference 4

Resolution: verified exact; doi, observed 2026-08-11T15:39:04.017437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0ffe7f07-60bd-4aa7-a3fe-51e10cc0a88a · outbound

This paper cites an unresolved cited work.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Unresolved cited work

Reference 5

Resolution: verified exact; doi, observed 2026-08-11T15:39:04.000901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 24c1b928-835c-40dd-84fe-b5b5c14a61f4 · outbound

This paper cites an unresolved cited work.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Unresolved cited work

Reference 6

Resolution: verified exact; doi, observed 2026-08-11T15:39:03.974211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b5e33d4c-d972-4936-818c-559663025a09 · outbound

This paper cites an unresolved cited work.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:39:04.611641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c377c292-975f-4615-8ec0-83253b971836 · outbound

This paper cites Toda, Theory of Nonlinear Lattices, Springer Science & Business Media,, 2012.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Toda, Theory of Nonlinear Lattices, Springer Science & Business Media,, 2012

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:04.589312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 48ad0f10-d1db-4550-a391-5e0ab0f452fb · outbound

This paper cites an unresolved cited work.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:39:04.572645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation eb43d6e1-7916-47cf-b538-a1419d5cd1be · outbound

This paper cites an unresolved cited work.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T15:39:03.037265Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9ea4487e-36d8-46c4-8abd-c1b087b61ae1 · outbound

This paper cites Datta, D.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Datta, D

Reference 11

Resolution: verified exact; doi, observed 2026-08-11T15:39:03.937278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 48c03c0f-1b1f-4d06-bada-98cd193ea88d · outbound

This paper cites an unresolved cited work.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Unresolved cited work

Reference 12

Resolution: verified exact; doi, observed 2026-08-11T15:39:03.915752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7e7a92b7-785f-4056-b9ca-9b41995959d6 · outbound

This paper cites Teki´ c, P.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Teki´ c, P

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:04.557080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ec3a0c35-ea4f-4edd-9f7e-bc22aae4afaf · outbound

This paper cites an unresolved cited work.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-11T15:39:03.060807Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 268da267-e4d1-4939-9ba2-22898ccc9645 · outbound

This paper cites Maci´ a, Charge transfer in DNA: e ﬀective Hamiltonian approaches, Zeitschrift f¨ ur Kristallographie-Crystalline Materials 224 (1-2) (2009) 91–95.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Maci´ a, Charge transfer in DNA: e ﬀective Hamiltonian approaches, Zeitschrift f¨ ur Kristallographie-Crystalline Materials 224 (1-2) (2009) 91–95

Reference 15

Resolution: verified exact; raw_fallback, observed 2026-08-11T15:39:04.449309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c5a02272-cc02-440f-9468-7efabf332ea5 · outbound

This paper cites Saqlain, W.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Saqlain, W

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-11T15:39:03.073488Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1cbf3243-3662-483a-b7f1-308a4f59f6b3 · outbound

This paper cites Zvyagintseva, H.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Zvyagintseva, H

Reference 17

Resolution: verified exact; doi, observed 2026-08-11T15:39:03.875321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2f1280d1-d81e-45d8-9511-d5e855747400 · outbound

This paper cites an unresolved cited work.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Unresolved cited work

Reference 18

Resolution: verified exact; doi, observed 2026-08-11T15:39:03.840416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f362cfa0-159f-428e-b033-bfba8a5554a7 · outbound

This paper cites an unresolved cited work.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Unresolved cited work

Reference 19

Resolution: metadata mismatch; raw_fallback, observed 2026-08-11T15:39:04.265077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ec8ce2a1-69ff-4f1c-9c4d-86d06ec3fff0 · outbound

This paper cites an unresolved cited work.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-11T15:39:03.102986Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ddc7c3ce-749b-4c8a-8d42-7d5fc9d463ac · outbound

This paper cites Quantum Graph Neural Networks.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Quantum Graph Neural Networks

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T15:39:03.108079Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 39543aef-6365-47ac-8224-382f2d8c6373 · outbound

This paper cites Kochkov, T.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Kochkov, T

Reference 22

Resolution: verified exact; doi, observed 2026-08-11T15:39:03.777442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a03e4638-0825-4f7e-9931-c72d6b5557b3 · outbound

This paper cites Bishnoi, R.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Bishnoi, R

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:04.528881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7ea6c09f-c8f6-4b7e-94e8-5e8ce7e468fc · outbound

This paper cites Hamiltonian Graph Networks with ODE Integrators.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Hamiltonian Graph Networks with ODE Integrators

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-11T15:39:03.125491Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30e4a7a9-b5d0-45d5-b60d-77003987cfaa · outbound

This paper cites an unresolved cited work.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:39:04.510952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation fc5d0d0c-5589-46f2-9a7b-1609956117a3 · outbound

This paper cites V eliˇ ckovi´ c, G.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning V eliˇ ckovi´ c, G

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:04.488665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation afaf56c7-9a61-4c44-ba59-16994c17ef1a · outbound

This paper cites Semi-Supervised Classification with Graph Convolutional Networks.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Semi-Supervised Classification with Graph Convolutional Networks

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-11T15:39:03.147519Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e1f63235-b5a1-4cb1-93a2-50bdbb47fa21 · outbound

This paper cites an unresolved cited work.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-11T15:39:03.153566Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b16a43b4-5036-4349-b286-76dff479e0eb · outbound

This paper cites Penati, V.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Penati, V

Reference 29

Resolution: verified exact; doi, observed 2026-08-11T15:39:03.548371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 74df4f07-6321-4cf8-8118-781fce55e4b4 · outbound

This paper cites Koukouloyannis, P.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Koukouloyannis, P

Reference 30

Resolution: verified exact; doi, observed 2026-08-11T15:39:03.524147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e6e27bc7-4e16-483f-b1bb-3f6451d66e82 · outbound

This paper cites an unresolved cited work.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Unresolved cited work

Reference 31

Resolution: verified exact; doi, observed 2026-08-11T15:39:03.502501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0653f45f-d288-4163-9e73-64b3afd099d3 · outbound

This paper cites Dauxois, R.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Dauxois, R

Reference 32

Resolution: verified exact; doi, observed 2026-08-11T15:39:03.478671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2970a1bc-d017-4d92-824b-4ebc91bc3a0e · outbound

This paper cites KP-II approximation for a scalar FPU system on a 2D square lattice.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning KP-II approximation for a scalar FPU system on a 2D square lattice

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-11T15:39:03.458068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 051bee38-3afe-4d1a-ade6-2222a9eaff82 · outbound

This paper cites an unresolved cited work.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Unresolved cited work

Reference 34

Resolution: verified exact; doi, observed 2026-08-11T15:39:03.422021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ab36bc11-6b98-4475-a0d2-2b11e616441f · outbound

This paper cites Montavon, G.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Montavon, G

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-11T15:39:03.191046Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a330996b-28a1-42f1-8824-e7b80799203f · outbound

This paper cites Popescu, V.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Popescu, V

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:39:04.466456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 164838b0-b876-4da0-9a9a-485434c07b82 · outbound

This paper cites Hamiltonian Neural Networks.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Hamiltonian Neural Networks

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-11T15:39:03.200717Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0169fffa-9df1-49be-8fdf-ab843850c27c · outbound

This paper cites an unresolved cited work.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-11T15:39:03.206060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation af163b4b-f09b-4c0d-9976-ff53d8cdd5e4 · outbound

This paper cites Chmiela, A.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Chmiela, A

Reference 39

Resolution: verified exact; doi, observed 2026-08-11T15:39:03.347364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4eee087d-b36a-4861-a7e9-e8ea13ce2072 · outbound

This paper cites Chmiela, V.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Chmiela, V

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-11T15:39:03.216882Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bc2ace9f-1324-4e05-8f7f-55a710bee7b4 · outbound

This paper cites an unresolved cited work.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-11T15:39:03.221846Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2bb93dd6-be1b-45b7-8a08-51f5defed2e3 · outbound

This paper cites an unresolved cited work.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Unresolved cited work

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-11T15:39:03.226960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d0c65b17-0974-4c48-b7ac-b196435860b4 · outbound

This paper cites Chmiela, H.

Graph Attention Hamiltonian Neural Networks: A Lattice System Analysis Model Based on Structural Learning Chmiela, H

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-11T15:39:03.231651Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.