Paper Citation Record · LEDGER

Geometric results for hyperbolic operators with spectral transition of the Hamilton map

As of 7 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 2 inbound Pith citation observations for arXiv:2505.21078.

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

pith.paper-citation-record.v1
2505.21078 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:50:28.699767Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:24:37.990288Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-29T17:53:47.606321Z

Reference resolution

15 of 15 outbound references displayed

verified exact0
verified fuzzy12
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f2bbb6a3-3380-41a9-aef1-c541b823b1b5 · outbound

This paper cites Geometric transition for a class of hyper- bolic operators with double characteristics.

Geometric results for hyperbolic operators with spectral transition of the Hamilton map Geometric transition for a class of hyper- bolic operators with double characteristics

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:30.813634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 37f543cf-22b9-4dfd-9762-8152d3a76e74 · outbound

This paper cites On the Cauchy problem for non- effectively hyperbolic operators, the Gevrey 5 well-posedness.

Geometric results for hyperbolic operators with spectral transition of the Hamilton map On the Cauchy problem for non- effectively hyperbolic operators, the Gevrey 5 well-posedness

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:30.636032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 03f4e05e-db35-4081-b529-74e94e2d4cba · outbound

This paper cites The Cauchy prob- lem for hyperbolic operators with double characteristics in presence of tran- sition.

Geometric results for hyperbolic operators with spectral transition of the Hamilton map The Cauchy prob- lem for hyperbolic operators with double characteristics in presence of tran- sition

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:30.452810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4f14ae66-6abd-46d9-9535-86cc296b55e0 · outbound

This paper cites On the well posedness of the Cauchy problem for a class of hyperbolic operators with double characteristics.

Geometric results for hyperbolic operators with spectral transition of the Hamilton map On the well posedness of the Cauchy problem for a class of hyperbolic operators with double characteristics

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:30.368963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 80b0a9dc-ef18-4f01-87d0-e8351b145a18 · outbound

This paper cites The Cauchy problem for differential equations with double characteristics.

Geometric results for hyperbolic operators with spectral transition of the Hamilton map The Cauchy problem for differential equations with double characteristics

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:30.279390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3248d9b3-e789-4006-9640-087a488e287d · outbound

This paper cites III , vol- ume 274 of Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences].

Geometric results for hyperbolic operators with spectral transition of the Hamilton map III , vol- ume 274 of Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:30.185319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 54a8b5a2-6b6d-4d45-a6b8-ebaba2f3ae8d · outbound

This paper cites an unresolved cited work.

Geometric results for hyperbolic operators with spectral transition of the Hamilton map Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:50:29.900171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7a4b9f5b-a236-4447-9558-a5b917e7a2c2 · outbound

This paper cites an unresolved cited work.

Geometric results for hyperbolic operators with spectral transition of the Hamilton map Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:50:29.681646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0f943b45-e99e-439f-9ea0-bf3ec2d05bc7 · outbound

This paper cites The hyperbolic Cauchy problem , volume 1505 of Lecture Notes in Mathematics.

Geometric results for hyperbolic operators with spectral transition of the Hamilton map The hyperbolic Cauchy problem , volume 1505 of Lecture Notes in Mathematics

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:29.526252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7e210d3b-ffd4-4f59-bc52-db1da955dc30 · outbound

This paper cites On the Cauchy problem for noneffectively hyperbolic oper- ators, a transition case.

Geometric results for hyperbolic operators with spectral transition of the Hamilton map On the Cauchy problem for noneffectively hyperbolic oper- ators, a transition case

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:29.424221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f5f1f00a-c65d-4ddf-a071-91e6c105c2ff · outbound

This paper cites On the Cauchy problem for hyperbolic operators with dou- ble characteristics, a transition case.

Geometric results for hyperbolic operators with spectral transition of the Hamilton map On the Cauchy problem for hyperbolic operators with dou- ble characteristics, a transition case

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:29.340398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 05aec62a-da10-4d73-882a-15363b4706ef · outbound

This paper cites Cauchy problem for differential operators with double char- acteristics, volume 2202 of Lecture Notes in Mathematics.

Geometric results for hyperbolic operators with spectral transition of the Hamilton map Cauchy problem for differential operators with double char- acteristics, volume 2202 of Lecture Notes in Mathematics

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:29.215824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f1c31b39-5f0f-4dcb-ae26-f58d35f4f120 · outbound

This paper cites On the Cauchy problem for differential operators with dou- ble characteristics, a transition from non-effective to effective characteristics.

Geometric results for hyperbolic operators with spectral transition of the Hamilton map On the Cauchy problem for differential operators with dou- ble characteristics, a transition from non-effective to effective characteristics

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:28.974119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d6d010ed-e8fd-4a40-a201-30a6098a9ea2 · outbound

This paper cites A more direct way to the Cauchy problem for effectively hyperbolic operators.

Geometric results for hyperbolic operators with spectral transition of the Hamilton map A more direct way to the Cauchy problem for effectively hyperbolic operators

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:50:28.870695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cafb92a9-5884-41e2-8f4a-23fbd104eb5d · outbound

This paper cites an unresolved cited work.

Geometric results for hyperbolic operators with spectral transition of the Hamilton map Unresolved cited work

Reference 2017

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:50:29.111553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

Observation ea2e2f2c-61dd-4169-ab68-b7f659792824 · inbound

Notes on tangent bicharacteristics and ill-posedness of the Cauchy problem cites this paper.

Notes on tangent bicharacteristics and ill-posedness of the Cauchy problem Geometric results for hyperbolic operators with spectral transition of the Hamilton map

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T05:24:37.990288Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 07afd185-e398-4f71-aff1-3f0dedc1eb19 · inbound

Lack of Gevrey solvability for a model operator cites this paper.

Lack of Gevrey solvability for a model operator Geometric results for hyperbolic operators with spectral transition of the Hamilton map

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-06-29T17:53:47.607849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.