Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T18:24:51.252650Z
Paper Citation Record · LEDGER
Space filling positionality and the Spiroformer
As of 9 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2507.08456.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
18 of 18 outbound references displayed
- verified exact3
- verified fuzzy6
- unresolved7
- parse uncertain0
- malformed identifier0
- metadata mismatch2
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 026ff8d6-cbf7-497a-9028-a6d5e865fda0 · outbound
This paper cites Arnold, A.
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:24:53.363639Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation ceb4c5ff-08a2-4711-b70f-d5a1194626b5 · outbound
This paper cites Ballerin, N.
Space filling positionality and the Spiroformer Ballerin, N
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T18:24:26.197751Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 483a252f-402b-48cf-8bfa-88d6773311c0 · outbound
This paper cites Symmetry Group Equivariant Architectures for Physics.
Space filling positionality and the Spiroformer Symmetry Group Equivariant Architectures for Physics
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T18:24:26.289762Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ef97b7a4-05f8-4d87-8cef-e0c4f31b2288 · outbound
This paper cites an unresolved cited work.
Space filling positionality and the Spiroformer Unresolved cited work
Reference 4
- Resolution
- metadata mismatch
- raw_fallback, observed 2026-08-06T18:24:52.068953Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation bd98b59b-6b96-4a71-a910-e3117b25e24a · outbound
This paper cites Spherical CNNs.
Space filling positionality and the Spiroformer Spherical CNNs
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T18:24:26.520319Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c284cc9a-8b43-4265-a44d-2db9883b65cc · outbound
This paper cites Crainic, R.
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:24:53.166931Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 7ffbbcb1-f835-4ded-9e6e-2f2fd750e716 · outbound
This paper cites An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale.
Space filling positionality and the Spiroformer An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T18:24:50.359029Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f2938bb2-2b6e-40b9-ab37-005ec289c6f0 · outbound
This paper cites an unresolved cited work.
Space filling positionality and the Spiroformer Unresolved cited work
Reference 8
- Resolution
- verified exact
- doi, observed 2026-08-06T18:24:51.489424Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 950db712-e45b-4d6f-be0a-53717b12b497 · outbound
This paper cites an unresolved cited work.
Space filling positionality and the Spiroformer Unresolved cited work
Reference 9
- Resolution
- verified exact
- doi, observed 2026-08-06T18:24:51.398914Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3badbe0b-fa4a-4a82-a107-6defedc3fa11 · outbound
This paper cites an unresolved cited work.
Space filling positionality and the Spiroformer Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T18:24:53.044337Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 20ad45ae-5d13-47b6-ad30-e193eb4ec4b7 · outbound
This paper cites SymFlux: deep symbolic regression of Hamiltonian vector fields.
Space filling positionality and the Spiroformer SymFlux: deep symbolic regression of Hamiltonian vector fields
Reference 11
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-06T18:24:51.747166Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation d912e64c-9a4c-49e0-8b6f-b8a07b6cbe85 · outbound
This paper cites an unresolved cited work.
Space filling positionality and the Spiroformer Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T18:24:52.962794Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation cd37be3a-3e7a-4a93-bdac-b57077328022 · outbound
This paper cites A Structure-Preserving Kernel Method for Learning Hamiltonian Systems.
Space filling positionality and the Spiroformer A Structure-Preserving Kernel Method for Learning Hamiltonian Systems
Reference 13
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T18:24:51.609110Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 156e9a3f-c202-4232-aa90-ec42fc0bcd3b · outbound
This paper cites Koszul, Y.M.
Space filling positionality and the Spiroformer Koszul, Y.M
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:24:52.873104Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 0e7b3fc4-3fee-4df0-9605-1fddcb1a4d3b · outbound
This paper cites an unresolved cited work.
Space filling positionality and the Spiroformer Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T18:24:52.770626Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 8f90715e-4940-4b1c-99fc-4beb641e49fd · outbound
This paper cites Miolane, N.
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:24:52.651343Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e9b93489-97a9-4d40-a093-69ad32039ed4 · outbound
This paper cites Rußwurm, K.
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:24:52.521292Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 90789a09-e5b5-41d3-8488-a3daddb6ef9f · outbound
This paper cites Vaswani, N.
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T18:24:52.338218Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Pith citing papers
No inbound Pith citation observations are available.