{"as_of":"2026-08-13T07:57:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:47401f8c39800bad1f8915af8139a61bd1c158c8413c6943c752c7a47e9eaa1d","coverage":[{"denominator":64,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":64,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-31T00:36:11.144953Z","state":"measured"},{"denominator":65,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":65,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-31T00:36:05.623502Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2607.25133","snapshot_observed_at":"2026-07-31T00:36:05.623502Z","title":"antibound","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:05.623502Z"},"links":{"cited_paper":"/paper/2607.25133","citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:e32c6ae69b58068d56ec69ba21980fcbebd2c3e46bf8cf8df0a5ea2ab9a51a00","observation_id":"e4711670-294e-475e-a711-202d3cb61b8f","resolution":{"observed_at":"2026-07-31T00:36:05.623502Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2607.25133/citation-record","integrity":"/paper/2607.25133/integrity","json":"/paper/2607.25133/citation-record.json","paper":"/paper/2607.25133"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:05.708579Z","title":"Outgoing boundary conditions are designed to enforce the Sommerfeld radiation condition at infinity, ensuring that no waves enter the system from infinity","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:05.708579Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:89c881418e9ddd033a94a36fc51e7c60a6a9e21a487ab800aa439933fe4f585b","observation_id":"313032cf-8a37-4c87-a9f0-2dbfbf622707","resolution":{"observed_at":"2026-07-31T00:36:05.708579Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:05.785166Z","title":"• The spacing between consecutive real parts approaches a constant in the high-frequency limit","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:05.785166Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:4720b06fe7d242559d8b5ee3cfd1b5769c33c6ef3e452cbb505f5dd4531678d6","observation_id":"2f764461-fa46-4cbc-84dd-155af0c66faf","resolution":{"observed_at":"2026-07-31T00:36:05.785166Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:06.517585Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:06.517585Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:5a78d64cb4fc1453893a0c823b146395101804c71b626c32c6543ab578ba4cf8","observation_id":"d94c5d77-1750-4c1c-92bf-46d22b632ab3","resolution":{"observed_at":"2026-07-31T00:36:06.517585Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:05.869578Z","title":"Figure 8 corresponds to a cavity with constant permittivity ϵII","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:05.869578Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:3c6981f15a1258ad8d71dc94a0e88fd7f5eb94932f537bc1e2e6b188a8c6342d","observation_id":"d80c16c5-5e84-46c1-9c9c-d413926dae09","resolution":{"observed_at":"2026-07-31T00:36:05.869578Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:05.960009Z","title":"Figure 10 shows the pseudospectrum for a cavity with con- stant permittivityϵ= 2","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:05.960009Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:708370789535d0aa2e4271be8e95e68a8c7451445f2a580a843d5477d8a7fc21","observation_id":"8fd35d2d-131f-44a8-9732-965956983155","resolution":{"observed_at":"2026-07-31T00:36:05.960009Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:06.019431Z","title":"logarithmic","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:06.019431Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:8ee92372247d7d89f4b6caf4122c14f9d5cec4b9045060dc1d9460509e622ef1","observation_id":"8aab0513-29b8-4dc0-aa8c-92c5a64eb4f6","resolution":{"observed_at":"2026-07-31T00:36:06.019431Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:06.101792Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:06.101792Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:2cb9241178c43de50e27272a7515437b4df6db85b65fdc09dc8a6cddef4fe236","observation_id":"3b07baea-8ce6-408a-bd51-9ddbd40e8af2","resolution":{"observed_at":"2026-07-31T00:36:06.101792Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2607.25133","snapshot_observed_at":"2026-07-31T00:36:05.623502Z","title":"antibound","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:05.623502Z"},"links":{"cited_paper":"/paper/2607.25133","citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:e32c6ae69b58068d56ec69ba21980fcbebd2c3e46bf8cf8df0a5ea2ab9a51a00","observation_id":"e4711670-294e-475e-a711-202d3cb61b8f","resolution":{"observed_at":"2026-07-31T00:36:05.623502Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:06.178090Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:06.178090Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:ecccfb584c2ab8232b15ed64ce93e372824f2aaeba20e76c06dacf8da67bf32d","observation_id":"052449f1-909d-47c6-9e2d-a5c6632fbe83","resolution":{"observed_at":"2026-07-31T00:36:06.178090Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:06.263618Z","title":"Having that makes a potential case a special ”mathe- matical” case of the permittivity one","venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:06.263618Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:558736cce080d73c31152f1102e75a882bf48edcddfe2cc1518690486384fa18","observation_id":"72f04fd6-7d6f-46a6-a9b2-b8585e0be95b","resolution":{"observed_at":"2026-07-31T00:36:06.263618Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:06.359758Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:06.359758Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:aec9418543374353a2baf21ddba8392ab4ea17b50cebbe533b42f0b5e5840d88","observation_id":"41405c0d-6002-4040-807b-90998e7555c6","resolution":{"observed_at":"2026-07-31T00:36:06.359758Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:06.443728Z","title":"xj = cos( π(j+ 1 2 ) N+ 1 ) :j= 0,1,2, ...., N(B7) Andϕ j = π(j+ 1 2 ) N+1","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:06.443728Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:0d673d540a96df6d0678153cd8d953d2f10262eaa62d3efdc8288644ebbd122b","observation_id":"bb4cae6f-fa92-4e3b-bda1-2013fd43ed24","resolution":{"observed_at":"2026-07-31T00:36:06.443728Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:06.706094Z","title":"(B24) 19","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:06.706094Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:2cd868c041561209553e64d767495e1d55052bba11d7fe508a35ef120a903d8d","observation_id":"745fd2c8-ab10-40de-9bb3-9548c15111f2","resolution":{"observed_at":"2026-07-31T00:36:06.706094Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:06.877839Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:06.877839Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:9aa65a4643e18d55a89bcfedb434f75e833f40132cb6b0da0fef49d97625d3c2","observation_id":"5fafc810-c1ad-4e65-88fc-a59ad2c043cd","resolution":{"observed_at":"2026-07-31T00:36:06.877839Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:07.049127Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:07.049127Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:7e74caa1cef74b0941c1c65109df7a416f6a5e507c3c48d1b3eb801042a490ad","observation_id":"8be5e1da-18e8-4323-8106-61d2f2714faf","resolution":{"observed_at":"2026-07-31T00:36:07.049127Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:07.105258Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:07.105258Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:c36df43093fd29703bc686bead6bf9ab5ce2c514b874318c4ac4bf284040408c","observation_id":"fa5e309f-7066-4c73-bead-693fd860628a","resolution":{"observed_at":"2026-07-31T00:36:07.105258Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:07.197992Z","title":"(18) of the main text","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:07.197992Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:a1d155897913f82738fa425c7f2b7835d05c1a6c3ed90610d9fc5bf97223c769","observation_id":"05f264db-f0e8-4cb8-90be-fd494006943f","resolution":{"observed_at":"2026-07-31T00:36:07.197992Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:07.317914Z","title":"This simplification transforms Maxwell’s curl equa- tions into one-dimensional derivatives while retaining the dis- persive structure","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:07.317914Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:e5e39a1372ea6116068040a13cc0cf5d02975bc9fb7dab80b8f2de2ee9c80fda","observation_id":"7fa0c00f-d248-424e-b928-c0f06a2a284b","resolution":{"observed_at":"2026-07-31T00:36:07.317914Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:07.443206Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:07.443206Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:301b18943922e46f2423237f8e18fc50e3d231caac23c08ab9a6561665664852","observation_id":"1fc5dec7-f38a-4f69-bf61-4c3100c23d9c","resolution":{"observed_at":"2026-07-31T00:36:07.443206Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:07.533741Z","title":"Theses, Universit ´e Bourgogne Franche- Comt´e (2022)","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:07.533741Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:e573bec4ef170008ac6df71149d64e44185e84720ed8ecd8d02a5cb2486f234d","observation_id":"59a124fc-72ed-489e-868e-e698c34daeb8","resolution":{"observed_at":"2026-07-31T00:36:07.533741Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:07.627237Z","title":"Physical Review Letters110(23), 237,401 (2013)","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:07.627237Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:6f1e26d82c319fbb96c3c0e4e171ef4147b7557ed968e5bfd9ce30452f067570","observation_id":"d9df080b-fd96-4b5d-8068-8e6ced4bff70","resolution":{"observed_at":"2026-07-31T00:36:07.627237Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1364/ol.43.001978","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Optics Letters","work_id":"223e31fc-be6f-4833-b049-6417e670aa54","year":1978},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:07.727257Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:0ae1fad53fa13510954cbba33746f04f3ebed872f8be339389b7612d8dc77992","observation_id":"d58b450d-bc93-4c3a-93e1-dc34541105da","resolution":{"observed_at":"2026-07-31T00:41:23.926437Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:07.815303Z","title":"Laser & Photonics Reviews12(5), 1700,113 (2018)","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:07.815303Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:bacb110f276cfc2696ea81853bebfee14792291029f6403b356a11787d1873ad","observation_id":"5fbdf973-2be7-4295-b0d5-74d4d7a3d7f8","resolution":{"observed_at":"2026-07-31T00:36:07.815303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:07.937442Z","title":"SIAM Journal on Scientific Computing48(3), A1075–A1100 (2026)","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:07.937442Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:529534600242b783a90c6f6cf8b5010a284995531182d12f5a03e6a3a1c903ef","observation_id":"965d5106-4137-4da4-b99f-1d628d3f4b76","resolution":{"observed_at":"2026-07-31T00:36:07.937442Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2606.25130","last_updated":"2026-06-23T20:04:19Z","snapshot_observed_at":"2026-07-06T23:59:37.533078Z","submitted_at":"2026-06-23T20:04:19Z","title":"Finite Elements for Helmholtz Scattering with Infinity as a Computational Boundary","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2606.25130","snapshot_observed_at":"2026-07-31T00:36:08.055111Z","title":"arXiv preprint arXiv:2606.25130 (2026)","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:08.055111Z"},"links":{"cited_paper":"/paper/2606.25130","citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:2196b8f6d41e8b6c9814d77acd60399e0101983864bfce03a9592611000fc961","observation_id":"3715a0ce-cb2c-437b-a40a-79d9100f75f0","resolution":{"observed_at":"2026-07-31T00:36:08.055111Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:08.110156Z","title":"Frontiers in Physics Volume 12 - 2024(2024)","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:08.110156Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:03e5b08034e7fd2e33023c40676158b8cb88e1941db5d944f78ea487bce07e39","observation_id":"6450487e-5a80-44c1-a0ad-68cc91899061","resolution":{"observed_at":"2026-07-31T00:36:08.110156Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:08.174737Z","title":"Science261(5121), 578–584 (1993)","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:08.174737Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:f2b446af94761cd45b2a3f1103e87c7857c269a6deb9164d049aa5941b68ccb7","observation_id":"15cdf792-59a4-4a16-b262-b1c96e0c045d","resolution":{"observed_at":"2026-07-31T00:36:08.174737Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:08.271932Z","title":"Princeton Uni- versity Press (2005)","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:08.271932Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:2fcddef93674fe342098f8902d136b2e51ab22cd0e1bb588899859e9b8b1ad45","observation_id":"07c7e119-dcb0-456d-97ca-16984e75a567","resolution":{"observed_at":"2026-07-31T00:36:08.271932Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:08.347227Z","title":"Journal of Mathematical Physics56(10) (2015)","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:08.347227Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:a54487335c29916e48b0f3b75f6cb30d7d2aa23ceec254c6ee090c538ce8f9cd","observation_id":"14a31301-f3d2-4c14-b89d-b957fe0be7ca","resolution":{"observed_at":"2026-07-31T00:36:08.347227Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:08.451094Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:08.451094Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:6478f7d0e6f39d118ed622471f83e7eee2d9bd7b55db83f682f13fa50321d1bd","observation_id":"43522f66-2062-4296-9027-01ec92c2c94c","resolution":{"observed_at":"2026-07-31T00:36:08.451094Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:08.540756Z","title":"Frontiers in PhysicsVol- ume 13 - 2025(2026)","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:08.540756Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:1a3abaa4d6888565fb763ee1edcf8a817eed2d7ef38b810145e067c25a489797","observation_id":"d89fdac2-5fd3-4151-b1d2-483ec2341e16","resolution":{"observed_at":"2026-07-31T00:36:08.540756Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:08.639588Z","title":"Communications in Mathematical Physics306(1), 119–163 (2011)","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:08.639588Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:4f51fba8aa26c4505b649ba7fda690b8f71203ec087e6d3bad57ee5af90ab923","observation_id":"4b1c3bf6-7e54-4f5b-9e28-32a15be75e38","resolution":{"observed_at":"2026-07-31T00:36:08.639588Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:08.739224Z","title":"Graduate Studies in Mathematics","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:08.739224Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:1be54b297510e9a3c73442954b6985c398731fc4da2a05bf24d14d860a244c59","observation_id":"9f45e2fc-1a8c-4a4d-b0a8-c53d77a7cc18","resolution":{"observed_at":"2026-07-31T00:36:08.739224Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:08.813620Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:08.813620Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:f30c8b4480295410508a0b989d96f18d47c8ddacc4b239459c1247432a4bc4a3","observation_id":"8cd4f34d-12a0-4c1f-80e7-9952f41c7839","resolution":{"observed_at":"2026-07-31T00:36:08.813620Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:08.952880Z","title":"Laser & Photonics Reviews19(9), 2402,133 (2025)","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:08.952880Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:528a78eee92bcb0203c32d71434c70d4f3a266242795bc4a2cb493472f8d6a0d","observation_id":"d70e6516-170f-4ce9-a537-645b9ab02fb9","resolution":{"observed_at":"2026-07-31T00:36:08.952880Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:09.059066Z","title":"Physical Review D98(12) (2018)","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:09.059066Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:cc97ad77b08e39d64b8182eed747c185eebcfa0c880987059ec0cd4a97724b5a","observation_id":"0cc851e9-6fd2-44f5-b913-dbabc343c79d","resolution":{"observed_at":"2026-07-31T00:36:09.059066Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:09.104121Z","title":"Classical and Quantum Gravity37(6), 065,019 (2020)","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:09.104121Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:8641663b1c9d0d651e3b3565b2925c3764ffc91f7ac8bcedcfdd7bef71cc1923","observation_id":"5e257f59-016b-4940-8015-c8a312717f6d","resolution":{"observed_at":"2026-07-31T00:36:09.104121Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:09.138676Z","title":"Physical Review D83(12) (2011)","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:09.138676Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:e91676b2f8b46e9cfad49a19b0989a623e5046c9d49750fa580a9a6c2831b34b","observation_id":"376de1bb-95c5-45e4-870a-aef743d226b8","resolution":{"observed_at":"2026-07-31T00:36:09.138676Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:09.154324Z","title":null,"venue":null,"work_id":null,"year":2029},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:09.154324Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:ccdc2c29c79daaf018a438ec9c99d3a81116ccb43e3cee4276627b1b65293648","observation_id":"f5a80071-bc22-4fc0-9620-349c6b979d5a","resolution":{"observed_at":"2026-07-31T00:36:09.154324Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:09.264503Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:09.264503Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:bb9751709329eed027f93533215e782b4a205ff5b2afda7f73c64fd5d644273a","observation_id":"97ade8f7-09bd-4d05-ada5-9d0b918dfc5e","resolution":{"observed_at":"2026-07-31T00:36:09.264503Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:09.349840Z","title":"187 (2013)","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:09.349840Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:df885ac5be381c6d43fcb32a68552931bed3983581bb8b354fabff09dddd4174","observation_id":"cf07752d-d86a-411e-9dce-6cbfe01957b7","resolution":{"observed_at":"2026-07-31T00:36:09.349840Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:09.526880Z","title":"Scientific Com- putation","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:09.526880Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:572932459a6bb192798f0d48cdbc04858d6f7bdfdc243c84a1d618c2d88ff127","observation_id":"e9864492-ca2e-47a4-8bfa-b32dbf956e57","resolution":{"observed_at":"2026-07-31T00:36:09.526880Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:09.611422Z","title":"Software, Envi- ronments, and Tools","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:09.611422Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:83f26219f472483ddc2c6ff748611ad628b87fb18c9009f3072b56b1e59decd9","observation_id":"716f17a8-1031-4df1-b5d3-0eb1c39f03f5","resolution":{"observed_at":"2026-07-31T00:36:09.611422Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1143/ptp.33.1116","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Progress of Theoretical Physics33(6), 1116–1128 (1965)","venue":"Progress of Theoretical Physics","work_id":"887b580a-d9d6-4b8d-8cc1-f820ac3aab77","year":1965},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:09.670067Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:7e11bd32618fa3ad88ced9c6cc861afdef34088ecd2e12a470b8945af776820d","observation_id":"73856a6a-c747-40a5-b40d-43781ae26aeb","resolution":{"observed_at":"2026-07-31T00:41:23.637370Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:09.826832Z","title":"American Journal of Physics42(4), 310–315 (1974)","venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:09.826832Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:3022ef627da39b82f1b1f5da93ddf22dedfa9faf361d56ce20cb22fd7af5a3fd","observation_id":"c1b72f02-90d0-4215-a0cf-edc9cf651544","resolution":{"observed_at":"2026-07-31T00:36:09.826832Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:09.896889Z","title":"Canadian Journal of Physics89(11), 1127–1140 (2011)","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:09.896889Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:95efbf812d0f2aace71e8ef8b2b68d5bccfe843601fe0ee9659058d91b421e37","observation_id":"a29c066d-68a7-404e-97b8-bde717158c93","resolution":{"observed_at":"2026-07-31T00:36:09.896889Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:09.960090Z","title":null,"venue":null,"work_id":null,"year":1939},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:09.960090Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:22083b0a7cd69cf3e101989bc8eef7c0afbfdd7ecb4f25b0cb8a3abcdb6cb46a","observation_id":"82035cd5-6efd-4caa-b86e-b2311b9a54f8","resolution":{"observed_at":"2026-07-31T00:36:09.960090Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:10.025576Z","title":"Zeitschrift f¨ur Physik204(212) (1928)","venue":null,"work_id":null,"year":1928},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:10.025576Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:24a0c16aec71853c2bd24f1426ae4b5f8a37e664864d36c8e4738f8055772dfd","observation_id":"d4c32b30-2c80-4490-83a3-3932aee3d56f","resolution":{"observed_at":"2026-07-31T00:36:10.025576Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:10.122662Z","title":"Proceedings of the Royal Society of London","venue":null,"work_id":null,"year":1959},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:10.122662Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:4b0e99ca6674575013d138ac4eda1eed868b4021e3cef214abc918cfdfbed493","observation_id":"9f8e55bf-a5df-43f4-a92f-f62954011124","resolution":{"observed_at":"2026-07-31T00:36:10.122662Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:10.182480Z","title":"Pseudo- Differential Operators","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:10.182480Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:4280eb1aa4f3eb6e0fa4a4dcce9c00e2eb5c9851e12f2c33ce4e64b062f4db8c","observation_id":"2c69c18b-00e5-4f15-9d03-0301533655da","resolution":{"observed_at":"2026-07-31T00:36:10.182480Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physrevlett.128.211102","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Physical Review Letters","work_id":"a31a8f43-b50b-4f83-ad76-2f3877838743","year":2022},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:10.248307Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:bacfbd03c7cbabc0c2ad30dfe1df0ca7bcb1f6d8e3d4aed1fc856b81e58a2196","observation_id":"75f8ac39-c3f2-4a77-97be-b1ffcbc350fb","resolution":{"observed_at":"2026-07-31T00:41:23.484169Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1088/1361-6382/ac5054","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"doi:10.1088/1361-6382/ac5054","venue":"Classical and Quantum Gravity","work_id":"40667f5e-a680-400c-a9b8-0afbd8e6531e","year":2022},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:10.311677Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:ff9d17d9b3a65a5d58e007c9628e6c647e82b173a3c201acf47bc076c88f69c0","observation_id":"edd69f6c-f8fe-47d2-a549-a10d3dc7f0f8","resolution":{"observed_at":"2026-07-31T00:41:23.342724Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10714-025-03438-6","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"General Relativity and Gravitation57(2025)","venue":"General Relativity and Gravitation","work_id":"45ae5a81-22b1-416f-a317-e8681d8b4412","year":2025},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:10.377087Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:a6287d336813d44b97ccfc0d29809b40507c31d6443f744be5751285b67955dd","observation_id":"1fa8d124-a705-4dfb-ad17-81f0b6dbbcab","resolution":{"observed_at":"2026-07-31T00:41:23.189992Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s13373-","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:41:22.870413Z","title":"Bulletin of Mathemat- ical Sciences6(3), 379–452 (2016)","venue":null,"work_id":"9044465c-1943-4061-9f53-b6c70f1a27e4","year":2016},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:10.470919Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:37d5a8d7d756f5a3d9fdfc7b2033532a098bb1e2b378b480d98506a39efdd1a8","observation_id":"98b02e45-1b3b-4564-8762-7a5c8d92a5f2","resolution":{"observed_at":"2026-07-31T00:41:22.979659Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physrevd.110.104008","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"HAL (Le Centre pour la Communication Scientifique Directe)","work_id":"c135c42a-fc3c-48f7-b4e0-ee7aeb990f9c","year":2024},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:10.534226Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:4399509afb6e6f5a2dd3b0720d7aaa4075ae4d63e0ed99f9fc43cf6221b5dc62","observation_id":"b3ffce93-4bf6-424a-8eb7-60ea7d6e58b2","resolution":{"observed_at":"2026-07-31T00:41:22.797001Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:10.629532Z","title":"Frontiers in PhysicsVol- ume 12 - 2024(2025)","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:10.629532Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:bb13e591c64cc04e70f645a11c26fc243c0737888eb23399f8f491bec155e1be","observation_id":"1c8363a2-7fe2-432f-a348-cf9ab831f6ad","resolution":{"observed_at":"2026-07-31T00:36:10.629532Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:10.723364Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:10.723364Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:9f011a81567e231e6d4847ecc78d921d398f1bc2cdba47a7a8e98080633cf006","observation_id":"bded3784-ee97-4dd5-b8d4-f78f2a9c441a","resolution":{"observed_at":"2026-07-31T00:36:10.723364Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:10.757235Z","title":"Tellus24(3), 199–215 (1972)","venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:10.757235Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:1395cbe04c03a440453bd1c115fef62ba0e1f448b7b5acff4664fe63b4eb7038","observation_id":"4b13aa56-cebf-4128-9464-ce44e31cd593","resolution":{"observed_at":"2026-07-31T00:36:10.757235Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:10.819050Z","title":"Studies in Applied Mathematics51(3), 253–259 (1972)","venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:10.819050Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:b9817fc606d58fc6b19d1c981fc3b284cbff9f24f576ace31728044f636d8a6a","observation_id":"5d6bcbdf-dc3d-4341-959d-f1afd2f95737","resolution":{"observed_at":"2026-07-31T00:36:10.819050Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:10.852604Z","title":"The Physics of Fluids12(12), II–250 (1969)","venue":null,"work_id":null,"year":1969},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:10.852604Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:d185de52f88f13bed40c3d5ca6eaf5945abaade800abdcc0099f179443dfe82b","observation_id":"6be29806-3793-4046-ad32-60327e4c850c","resolution":{"observed_at":"2026-07-31T00:36:10.852604Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:10.920529Z","title":"SIAM Journal on Numerical Analysis21(4), 695– 715 (1984)","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:10.920529Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:7697417d36c6ba5b599e3624178f365bd5f4863ec13b7974e3688e4f08a77a22","observation_id":"e56f4b23-ff65-474f-a6e3-1d99059096d9","resolution":{"observed_at":"2026-07-31T00:36:10.920529Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:10.983773Z","title":"Journal of Computational Physics27(3), 323–350 (1978)","venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:10.983773Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:8752e823250a4731c7d5917a1745ad4ee340ef108d54da116d911f87ec76f9e9","observation_id":"833a1a4f-237f-416c-bbac-ec2eb743c5f5","resolution":{"observed_at":"2026-07-31T00:36:10.983773Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:11.051552Z","title":null,"venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:11.051552Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:6c52de88fdca79cfd7981a7e67bb67586d5f3a3ff3756bc56fb2bff7b8790599","observation_id":"184d2797-9b8a-40c1-b272-9cc0f917f52e","resolution":{"observed_at":"2026-07-31T00:36:11.051552Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T00:36:11.144953Z","title":"Engineering Analysis with Boundary Elements27(3), 251–257 (2003)","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-07-31T00:36:11.144953Z"},"links":{"citing_paper":"/paper/2607.25133"},"observation_digest":"sha256:8ab7694782eb727ef6f4d9dd6565baf09e5dde23d65ed3141db29c153ffd4700","observation_id":"7b133870-c3cc-48b3-a7b3-6db8a15254c2","resolution":{"observed_at":"2026-07-31T00:36:11.144953Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.25133","last_updated":"2026-07-27T23:03:14Z","latest_version":1,"primary_category":"physics.optics","snapshot_observed_at":"2026-08-06T10:26:31.247623Z","submitted_at":"2026-07-27T23:03:14Z","title":"A geometric approach to QNMs in optics: application to pseudospectrum and structural stability"},"reference_resolution":{"displayed":64,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":57,"verified_exact":6,"verified_fuzzy":0},"total_outbound_references":64},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 1 inbound Pith citation observation for arXiv:2607.25133."}