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Paper Citation Record · LEDGER

Structure-preserving model reduction of Hamiltonian systems by learning a symplectic autoencoder

As of 12 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2411.13906.

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

pith.paper-citation-record.v1
2411.13906 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T15:55:27.022302Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

26 of 26 outbound references displayed

  • verified exact0
  • verified fuzzy8
  • unresolved11
  • parse uncertain0
  • malformed identifier7
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 200278ec-3cb2-4164-9045-9994618609a7 · outbound

This paper cites an unresolved cited work.

Structure-preserving model reduction of Hamiltonian systems by learning a symplectic autoencoder Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:55:27.456189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:55:26.878262Z digest=sha256:494e49b19c4702800f2ad47a927651f51ef0efd3610442e4db8476e8f037642c

Observation b8c5d856-bdb3-4090-829f-47f95e0aa125 · outbound

This paper cites an unresolved cited work.

Structure-preserving model reduction of Hamiltonian systems by learning a symplectic autoencoder Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:55:27.439033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:55:26.883459Z digest=sha256:e15f12274d6321a7eb0d9ffd2a52d83bd99c381388a377e2d16dc1b12b9b87db

Observation 4d8f2896-ff1f-44bc-b528-7c4f139ff6d2 · outbound

This paper cites an unresolved cited work.

Structure-preserving model reduction of Hamiltonian systems by learning a symplectic autoencoder Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:55:27.423743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:55:26.888013Z digest=sha256:524d963be5c7e2291686de36d607abc7142ba482d89db5538b17aee754947130

Observation 09546aa3-e6e5-41cd-958c-9a5ef5f1e8ae · outbound

This paper cites 76 2 4 6 8 10 12 14 reduced dimensi n n 0.0.

Structure-preserving model reduction of Hamiltonian systems by learning a symplectic autoencoder 76 2 4 6 8 10 12 14 reduced dimensi n n 0.0

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:55:27.409013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:55:26.892606Z digest=sha256:866418b7cc42ea85a5cd572e8b2bdecf1ea11bcf33bb4060d26f6ca410d0496a

Observation 5d0d8526-b647-45de-97a2-3bec93456312 · outbound

This paper cites an unresolved cited work.

Structure-preserving model reduction of Hamiltonian systems by learning a symplectic autoencoder Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:55:27.392754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:55:26.897550Z digest=sha256:a8a663cf3863371c575d2e91f517e76af953f238e97aef9f54871a980046ba7d

Observation fbc47dae-8539-4408-8b09-b8fe658ebf15 · outbound

This paper cites an unresolved cited work.

Structure-preserving model reduction of Hamiltonian systems by learning a symplectic autoencoder Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:55:27.377163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:55:26.902675Z digest=sha256:dbc8a415712ff51db13512a5ac16f6e31bacea751b4af805ee1039e75b7a5a58

Observation e276e7a7-76b2-4f3b-b95a-9e84903164a6 · outbound

This paper cites an unresolved cited work.

Structure-preserving model reduction of Hamiltonian systems by learning a symplectic autoencoder Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:55:27.362304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:55:26.907923Z digest=sha256:c528544fb8e06fb9c06e1e04a2c2b79e696f5ab8cfdecc93700c61c508dbe686

Observation 85222941-9b6b-448c-901d-e1f0bba670f5 · outbound

This paper cites 77 6 8 10 12 14 reduced dime sio 0.0 0.1.

Structure-preserving model reduction of Hamiltonian systems by learning a symplectic autoencoder 77 6 8 10 12 14 reduced dime sio 0.0 0.1

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:55:27.343912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:55:26.912601Z digest=sha256:f9fb56670be27407e8fb9073ae21f6fcccf9431018c59d424c9ba7fb65e8f1d5

Observation 804bf9a0-3c61-4373-b056-e17296b0863a · outbound

This paper cites an unresolved cited work.

Structure-preserving model reduction of Hamiltonian systems by learning a symplectic autoencoder Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:55:27.328390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:55:26.917480Z digest=sha256:c1155e11aa25ad81614c3bb8062805e109c21b93428bbff86aa6f020de5b946c

Observation 45492f67-634e-40ab-b18b-834aa852652b · outbound

This paper cites an unresolved cited work.

Structure-preserving model reduction of Hamiltonian systems by learning a symplectic autoencoder Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:55:27.313420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:55:26.922093Z digest=sha256:5474fe62ccd42bc68d188d00c6a863af85a211c4e3091d8e194ec2deb64756e0

Observation 8aa49fd6-3edb-4a46-979c-c295c9f36255 · outbound

This paper cites an unresolved cited work.

Structure-preserving model reduction of Hamiltonian systems by learning a symplectic autoencoder Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:55:27.295785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:55:26.926752Z digest=sha256:8143b3efca8ee212e5ec0fbd7a1f64ea514b1cf4c23dfba64be07487b2a532de

Observation 90220e9a-ee44-4327-9627-ed73f6b1eef0 · outbound

This paper cites 78 0 25 50 75 100 epoch 0.0.

Structure-preserving model reduction of Hamiltonian systems by learning a symplectic autoencoder 78 0 25 50 75 100 epoch 0.0

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:55:27.279692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:55:26.931897Z digest=sha256:a77dea42b01ae6ab89ed19bda2cc0dbdb0902b9367966bf04282398e42bb3d04

Observation 2336bdf3-b76c-4a2e-8bea-9db7a287bb6e · outbound

This paper cites 0 10 20 30 40 50 epoch 0.0.

Structure-preserving model reduction of Hamiltonian systems by learning a symplectic autoencoder 0 10 20 30 40 50 epoch 0.0

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:55:27.263861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:55:26.937240Z digest=sha256:73b1d104d53416b709c7518af2c9056654ab2eff839b10e81a6ae3256c7c3569

Observation 73ae5629-4d0f-45f0-9657-e7528c2ba5df · outbound

This paper cites 79 10.0 12.5 15.0 17.5 20.0 reduced dimensi n n 0.0.

Structure-preserving model reduction of Hamiltonian systems by learning a symplectic autoencoder 79 10.0 12.5 15.0 17.5 20.0 reduced dimensi n n 0.0

Reference 14

Resolution
malformed identifier
raw_fallback, observed 2026-08-12T15:55:27.249998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:55:26.941900Z digest=sha256:5f50d49dc5652aa696c792613d85d35cffc74d8a4afdc6354ea334d84cdcd765

Observation 7f22b883-b2cd-42e2-85fe-f71f1b2b6cf8 · outbound

This paper cites an unresolved cited work.

Structure-preserving model reduction of Hamiltonian systems by learning a symplectic autoencoder Unresolved cited work

Reference 15

Resolution
malformed identifier
raw_fallback, observed 2026-08-12T15:55:27.235842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:55:26.946348Z digest=sha256:b9ea0375381a2a4f1253e100abf9ca0729ad0b68f3eaa6d8fae2e5ab85cf41c5

Observation b49775c6-10d7-40f9-a1d5-dec6f794fb87 · outbound

This paper cites an unresolved cited work.

Structure-preserving model reduction of Hamiltonian systems by learning a symplectic autoencoder Unresolved cited work

Reference 16

Resolution
malformed identifier
raw_fallback, observed 2026-08-12T15:55:27.220990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:55:26.951388Z digest=sha256:7993a753c7abd52ca469847f0134061458361d850fbc494ac2a8b54dcc3ce395

Observation 5910da96-3567-4bca-a13d-ad9779bd9b9b · outbound

This paper cites an unresolved cited work.

Structure-preserving model reduction of Hamiltonian systems by learning a symplectic autoencoder Unresolved cited work

Reference 17

Resolution
malformed identifier
raw_fallback, observed 2026-08-12T15:55:27.206246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:55:26.955799Z digest=sha256:0e19a568a7f168d4a9db64bf886e1edf96982caecfefdb0e4d319c5b33ea1b6b

Observation 4468f924-5295-4445-ae12-0c34bc34c249 · outbound

This paper cites 80 −0.50 −0.25 0.00 0.25 0.50 ξ 0.0 0.2 0.4 0.6 0.8 1.0 t 0.00 0.25 0.50.

Structure-preserving model reduction of Hamiltonian systems by learning a symplectic autoencoder 80 −0.50 −0.25 0.00 0.25 0.50 ξ 0.0 0.2 0.4 0.6 0.8 1.0 t 0.00 0.25 0.50

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:55:27.191287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:55:26.960576Z digest=sha256:5af889b46de1063a67aec303540dee5998da792012aab099fc6587e7e2fe931f

Observation 82dfaca3-87f8-446a-8566-2694c7328123 · outbound

This paper cites −0.50 −0.25 0.00 0.25 0.50 ξ 0.0 0.2 0.4 0.6 0.8 1.0 t 0.00 0.25 0.50.

Structure-preserving model reduction of Hamiltonian systems by learning a symplectic autoencoder −0.50 −0.25 0.00 0.25 0.50 ξ 0.0 0.2 0.4 0.6 0.8 1.0 t 0.00 0.25 0.50

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:55:27.158028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:55:26.970748Z digest=sha256:042758ccf829432ac44aed059bf57d9bf14d3ee85c3e783cb6f1bc7989870e9a

Observation eaad58cf-169c-4f01-b702-5c9d6ac610aa · outbound

This paper cites −0.50 −0.25 0.00 0.25 0.50 ξ 0.0 0.2 0.4 0.6 0.8 1.0 t 0.00 0.25 0.50.

Structure-preserving model reduction of Hamiltonian systems by learning a symplectic autoencoder −0.50 −0.25 0.00 0.25 0.50 ξ 0.0 0.2 0.4 0.6 0.8 1.0 t 0.00 0.25 0.50

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:55:27.141878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:55:26.981645Z digest=sha256:4d4d5df539480da16547c8b1814e5990373e276c3b071badf62a99ee312089ba

Observation 3576c595-0e66-4ed8-91b4-4fe54ce54525 · outbound

This paper cites −0.50 −0.25 0.00 0.25 0.50 ξ 0.0 0.2 0.4 0.6 0.8 1.0 t 0.00 0.25 0.50.

Structure-preserving model reduction of Hamiltonian systems by learning a symplectic autoencoder −0.50 −0.25 0.00 0.25 0.50 ξ 0.0 0.2 0.4 0.6 0.8 1.0 t 0.00 0.25 0.50

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:55:27.126006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:55:26.992191Z digest=sha256:45ead56740f50b13999738cead81d90e98f0c8cd6aef2d536544bd7aa66cea88

Observation cf2e6277-3b06-4d98-8253-611d296ca35b · outbound

This paper cites an unresolved cited work.

Structure-preserving model reduction of Hamiltonian systems by learning a symplectic autoencoder Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:55:27.174839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:55:26.997314Z digest=sha256:205f608d91a84e428578d10898b1d0e179ccbaedeac63b9a2e977af936a91285

Observation 625a7ac8-477e-47b8-8b5b-8b411173706f · outbound

This paper cites an unresolved cited work.

Structure-preserving model reduction of Hamiltonian systems by learning a symplectic autoencoder Unresolved cited work

Reference 26

Resolution
malformed identifier
raw_fallback, observed 2026-08-12T15:55:27.110938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:55:27.002697Z digest=sha256:b8f0b23cc32e058f8a0b4eaabfd0d1e2fa256dace9199584554aa4cb13b0a78e

Observation 0670e556-716a-45ee-8577-1b542dfd8c5d · outbound

This paper cites an unresolved cited work.

Structure-preserving model reduction of Hamiltonian systems by learning a symplectic autoencoder Unresolved cited work

Reference 28

Resolution
malformed identifier
raw_fallback, observed 2026-08-12T15:55:27.079342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:55:27.012444Z digest=sha256:1a602e91cc6f4adf445c4c9647f51793296921ce20a7fc54368853d5aeffb684

Observation bf0e6cc6-0b6d-49b6-b127-11ae55f29fdf · outbound

This paper cites an unresolved cited work.

Structure-preserving model reduction of Hamiltonian systems by learning a symplectic autoencoder Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:55:27.095361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:55:27.017809Z digest=sha256:ba72e6ab21c3f33d92cb609c31961bc5d72491e3a1fdc8273baee9c3b5d24f0b

Observation ec6a05b1-b286-47d2-91ef-b6447613fd42 · outbound

This paper cites an unresolved cited work.

Structure-preserving model reduction of Hamiltonian systems by learning a symplectic autoencoder Unresolved cited work

Reference 30

Resolution
malformed identifier
raw_fallback, observed 2026-08-12T15:55:27.062495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:55:27.022302Z digest=sha256:fe2cb09d5690657a3a4d7fad087e551c0132e6bb4e221cdc3b3712e2f5ce1fe5

Pith citing papers

No inbound Pith citation observations are available.