{"as_of":"2026-08-15T13:43:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:df71a8940a0bb3b4eaa46a130135af80f5c672bc2e9145e7bbb79140ade27411","coverage":[{"denominator":52,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":52,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T13:43:42.122233Z","state":"measured"},{"denominator":52,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":52,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"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":[],"links":{"evidence":"/evidence","html":"/paper/2412.12900/citation-record","integrity":"/paper/2412.12900/integrity","json":"/paper/2412.12900/citation-record.json","paper":"/paper/2412.12900"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:44.708060Z","title":"Daubechies, Ten Lectures on Wavelets, SIAM, Philadelphia, 1992","venue":null,"work_id":"48c89fbe-2230-452a-935c-7d0979f1a063","year":1992},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.206052Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:3e2136bc982eb77f86a527d7a4f6b4c3620669784e51c5353d019baa6da951d0","observation_id":"8bda5630-ee7c-4a67-b9d7-8731bc15997f","resolution":{"observed_at":"2026-08-11T13:43:44.738061Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:44.662540Z","title":"Mallat, A Wavelet Tour of Signal Processing , Academic Press, San Diego, CA, 1998","venue":null,"work_id":"df634fbb-d415-45c1-8ffc-399bbf0b638d","year":1998},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.232917Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:192ec75b20bec1dccd94d0558415b6ae8698a7bc3b69e47625dad36b26f60f9d","observation_id":"836b8673-bdc5-4466-a14c-9855442395c0","resolution":{"observed_at":"2026-08-11T13:43:44.671766Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:44.645591Z","title":"Sampling-50 years after Shannon,","venue":null,"work_id":"e92f3522-2364-4c04-977d-e0a86c51c99d","year":2000},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.253181Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:7a92fa6e9f2b19fa25a76e8b87b2345482fbbd5c45e7d0f7b07df57baf5ce48d","observation_id":"d44290ee-602e-419e-b71d-13c8048251a9","resolution":{"observed_at":"2026-08-11T13:43:44.650847Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:43:41.258252Z","title":"Grochenig, Foundations of Time-Frequency Analysis, Birkhauser, Boston, 2001","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.258252Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:cf5a9bd50a8d6f9d6a77050e45d7afb2061c797dfce488009e08b6f94d2ba961","observation_id":"d4e6fc3f-ec0b-4e1f-a072-97764e9e2328","resolution":{"observed_at":"2026-08-11T13:43:41.258252Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:44.615768Z","title":"Nonuniform sampling and reconstruction in shift-invariant spaces,","venue":null,"work_id":"2e51cf64-c5fc-4abb-a254-c7c2253f89a7","year":2001},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.263779Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:d60508af4edcaee08756e1373d7e4a59a674101d2d9fcb00e2ff654f692bf459","observation_id":"68173749-c547-49d8-8e09-6c0055ee2bc4","resolution":{"observed_at":"2026-08-11T13:43:44.621896Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:44.597913Z","title":"p-frames and shift invariant spaces of Lp,","venue":null,"work_id":"07547d09-6848-40f4-aefb-df1839190fe0","year":2001},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.268461Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:3096cb77070ae0bb2f0780c36a06450756fc4d028065d608b7ab5513eb48a9db","observation_id":"7b9bcaf7-6c02-4b3a-a421-eec53ed093ec","resolution":{"observed_at":"2026-08-11T13:43:44.603840Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:44.578554Z","title":"Convolution, average sampling, and a Calderon resolution of the identity for shift-invariant spaces,","venue":null,"work_id":"818b55b4-5647-470f-9181-73bdb6ec50fe","year":2005},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.273399Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:cfdb167cb8df31f8e9cb7c8875cd6b7bea2d6da37b6638a1f123dc73531c52e2","observation_id":"adbd3160-96f2-4588-bdb1-b50eb347ca00","resolution":{"observed_at":"2026-08-11T13:43:44.585202Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:44.560124Z","title":"The emerging field of signal processing on graphs: Extending high-dimensional data analysis to networks and other irregular domains,","venue":null,"work_id":"69da6ce7-225d-40f9-882c-cc5712261db6","year":2013},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.278040Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:81bc7ffcf4fdb40e84d16ea9b91ad895868eeb92ab5e6fba90c3a956d4b013fe","observation_id":"11e6119a-2cb9-4f58-88b7-6173be479348","resolution":{"observed_at":"2026-08-11T13:43:44.566535Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:44.498930Z","title":"Graph signal processing: Overview, challenges, and applications,","venue":null,"work_id":"0b665193-9c6a-4b0a-bd4c-2ecacabf7ec6","year":2018},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.282449Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:c27e78f69b57a8e01387f381c106a497a840a22316dc09de52d2d81a7719e09e","observation_id":"c759d6f0-807b-4ded-9947-06619f4509ee","resolution":{"observed_at":"2026-08-11T13:43:44.531256Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:44.430315Z","title":"Introduction to Graph Signal Processing,","venue":null,"work_id":"0fe1d1c9-a64c-400d-81d0-efaed9e4646a","year":2019},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.287078Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:9729ff3257c336694445f0df8297910e3719e3f6f5eea8a03de4eda1274448c6","observation_id":"98ee5095-3c92-44b2-ade2-f2e46998a4c9","resolution":{"observed_at":"2026-08-11T13:43:44.462398Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:44.298259Z","title":"Graph signal processing for machine learning: A review and new perspectives,","venue":null,"work_id":"794ecfd4-706c-4bed-80a0-2e262075fab0","year":2020},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.291451Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:26555a2dff05e50f1c24e40e838481fe135e8fce6c25d79eefbaffa8e4f0c5ca","observation_id":"dd8296df-5f14-4482-9c88-79cf0ee1225e","resolution":{"observed_at":"2026-08-11T13:43:44.395028Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:44.205727Z","title":"Ortega, Introduction to Graph Signal Processing , Cambridge University Press, 2022","venue":null,"work_id":"93f780eb-dd87-41a3-987a-2128e630aa49","year":2022},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.295998Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:07fd35bf0426e0b05e0a4c18bfa90616436b8e4562a24b53f77fe151e7181e58","observation_id":"44ac2a0e-9578-48f9-a899-1b05b22cf832","resolution":{"observed_at":"2026-08-11T13:43:44.253466Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2024.33497","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:42.414197Z","title":"Graph filters for signal processing and machine learning on graphs,","venue":null,"work_id":"3e1f52a8-ca76-40fa-bf54-0c2344a644fc","year":2024},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.301691Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:6756495e5595385e1340a79f713a7bb75d2fa26bfb535e472ba70a721d1c8151","observation_id":"fd9ec742-3588-4be3-9948-94bdd4319902","resolution":{"observed_at":"2026-08-11T13:43:42.436297Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:44.123120Z","title":"Sampling in Paley-Wiener spaces on combinatorial graphs,","venue":null,"work_id":"d62e49b1-184f-449b-8e69-267161ebdba8","year":2008},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.306158Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:8784aea7de7e8a0d4fc08da564d83721485fd31d7f6624b2b2a9435a4eb5ef96","observation_id":"733e1140-1a47-4a7d-a7a0-37869b93fe22","resolution":{"observed_at":"2026-08-11T13:43:44.166021Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:43.970331Z","title":"Variational splines and Paley–Wiener spaces on combinatorial graphs,","venue":null,"work_id":"3e194303-c31b-4d8a-9a4c-d83d40d189c9","year":2009},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.310869Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:81bff45f06a6f75af0384890a06a39a4f1ff803f7f21231068ec589a226d724d","observation_id":"db8b3494-b32f-4bef-9ad6-e493dfe250d3","resolution":{"observed_at":"2026-08-11T13:43:44.003379Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:43.898170Z","title":"Discrete signal processing on graphs: sampling theory,","venue":null,"work_id":"4a8f4dcd-6239-43a1-b2fe-f86809a091cb","year":2015},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.315256Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:1f400a92a947468fc6a32df239493abfa1a0df3a3874d34b519d84af6db6dac1","observation_id":"92dbe9bb-c801-42fd-8781-bc9d5bfb1cc4","resolution":{"observed_at":"2026-08-11T13:43:43.935076Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:43.882379Z","title":"Efficient sampling set selection for bandlimited graph signals using graph spectral proxies,","venue":null,"work_id":"0992cc99-c41d-4956-94a7-5c6ac29d82c0","year":2016},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.319935Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:87369c76fc76d03a09fec548a73bff1255dd5fd8d4ffb3bd81345fd8c4545e90","observation_id":"cd8b3855-fc09-4528-8652-fa3b88c1badd","resolution":{"observed_at":"2026-08-11T13:43:43.887528Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:43.866996Z","title":"Random sampling of bandlimited signals on graphs,","venue":null,"work_id":"6227068b-1f1b-40d3-9aa5-56e10583aa71","year":2018},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.324299Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:02fa135c3d9eec2a821a817ab7577adb68b045e34cafc7067055580548e37f63","observation_id":"8b307daa-9206-4ef7-8346-3c8783adbdfc","resolution":{"observed_at":"2026-08-11T13:43:43.872359Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:43.851080Z","title":"Reconstruction of bandlimited graph signals from measurements,","venue":null,"work_id":"599ffdfd-9c07-40d5-a3b6-c7dbc42892b2","year":2020},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.346719Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:30bbf7cf5ed43bbb3a316a30ec0ccf1a9f8725fc9ceda4ff8df30b88fdc26818","observation_id":"91c83186-7b6a-49e3-b525-cffec79fb74d","resolution":{"observed_at":"2026-08-11T13:43:43.856251Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:43.835954Z","title":"Scholkopf and A","venue":null,"work_id":"7b41f11d-7b73-4663-ba4c-f86a34e7b0be","year":2002},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.397465Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:56f0a144f874a6f0e62b114bf76fc55736f654f345bfdf289f6fd41149ce0d24","observation_id":"a19cf8a4-3402-45ff-b031-554309c41dee","resolution":{"observed_at":"2026-08-11T13:43:43.840958Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:43.820335Z","title":"Reproducing kernel Banach spaces for machine learning,","venue":null,"work_id":"fabae488-7bc2-4393-a066-39d707f64e13","year":2009},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.432990Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:3e0fbfad27d55740e0e48e8ef6849f07859fa9d37dc1c5ae227c76f0c2f95c94","observation_id":"0486c87f-8351-4b71-b7af-2a88bf3d1f00","resolution":{"observed_at":"2026-08-11T13:43:43.826106Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:43.763535Z","title":"Shalev-Shwartz and S","venue":null,"work_id":"bda62f51-0a9d-4e58-8684-2d599decb0e9","year":2014},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.457783Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:645248286d6c76ad58fd9cb8aad50be2677d0bc773e369f5dbd3fa5fd6e56383","observation_id":"591356f1-4793-4abf-9122-2eca01f65e4b","resolution":{"observed_at":"2026-08-11T13:43:43.809693Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:43.697910Z","title":"Graph kernels: a survey,","venue":null,"work_id":"1afde05c-19ff-4b55-9238-82e223a310c0","year":2021},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.502641Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:cf466934d90dd49188800a98267d452bfb7c3fde6260203bef58c8b208ba2bb5","observation_id":"080d1b58-ba15-48f3-9233-889637944e4a","resolution":{"observed_at":"2026-08-11T13:43:43.730555Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2311.02838","last_updated":"2023-11-06T02:58:05Z","snapshot_observed_at":"2026-08-13T18:23:46.503252Z","submitted_at":"2023-11-06T02:58:05Z","title":"Barron Space for Graph Convolution Neural Networks","version":1},"cited_work":{"arxiv_id":"2311.02838","doi":null,"metadata_source":"pith","pith_arxiv_id":"2311.02838","snapshot_observed_at":"2026-08-11T13:43:42.315347Z","title":"Barron Space for Graph Convolution Neural Networks","venue":"stat.ML","work_id":"6e94aca5-dd76-4431-8dab-6a7a0db6d71c","year":2023},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.556292Z"},"links":{"cited_paper":"/paper/2311.02838","citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:972fbc8a3cb98c73699e284c1d8fd4adb0801378d32de258eec4e6bd36f56bc9","observation_id":"29c92897-6b27-4504-a319-eb3957b4afac","resolution":{"observed_at":"2026-08-11T13:43:42.320678Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:43.614638Z","title":"Diffusion kernels on graphs and other discrete structures,","venue":null,"work_id":"db4758a8-8fcf-48bc-b716-ffb669533429","year":2002},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.601153Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:a4542508f996dd0356478889da39ed90341711f32fd79afd8e5fe29d19a119ff","observation_id":"7921e5d0-5871-4e9e-8ad9-7198d8349816","resolution":{"observed_at":"2026-08-11T13:43:43.656515Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:43.514685Z","title":"Kernels and regularization on graphs,","venue":null,"work_id":"99ff629d-da4f-4758-9a04-69b219ae1255","year":2003},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.643304Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:0c81aa7df982c80cab1d65be5f2c937dc955e058c918544d6fef1172f6e71f3e","observation_id":"9007f88e-0d07-4762-b1f6-e3f0c8ba5e5b","resolution":{"observed_at":"2026-08-11T13:43:43.572708Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:43.410955Z","title":"A regularization framework for learning from graph data,","venue":null,"work_id":"050b1f63-fc95-4f64-9bea-5010c2d36466","year":2004},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.679509Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:69fc9e845f8cf2680cbc7f98c540d2d51ca2087e01b05b7ebf5b007c9456ba68","observation_id":"b21d0d73-28e4-4e05-b5f0-298f73d8ecff","resolution":{"observed_at":"2026-08-11T13:43:43.440808Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:43.372672Z","title":"Manifold regularization: a geometric framework for learning from labeled and unlabeled examples,","venue":null,"work_id":"b1df9460-a99a-4af9-a770-7d12bb726654","year":2006},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.730427Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:8ff08c531e178ea3763f0104b0537afdb7b276ca952d2543c724659b39d70059","observation_id":"76e23781-d924-4ae0-8bf6-62b3aff8bd48","resolution":{"observed_at":"2026-08-11T13:43:43.377128Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:43.358585Z","title":"Gram matrices of reproducing kernel Hilbert spaces over graphs,","venue":null,"work_id":"97216b78-e67a-4909-a4aa-f157f82252c4","year":2014},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.755748Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:17776962c81b58d679458671ce918b95e546b1a90b6f6cf0e6c540197f094768","observation_id":"3b2322af-cdea-497e-9e18-a5136fe01414","resolution":{"observed_at":"2026-08-11T13:43:43.362815Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:43.344608Z","title":"Prediction of partially observed dynamical processes over networks via dictionary learning,","venue":null,"work_id":"ac40f608-e442-4ac1-8e9b-3b0b7961463b","year":2014},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.760091Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:95979772334b5f5bd671447e10a8cdacb2decbd05bf943b028c9516295370460","observation_id":"198ab372-8eac-48d8-b4dd-4ddb086469a6","resolution":{"observed_at":"2026-08-11T13:43:43.349241Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:43.330209Z","title":null,"venue":null,"work_id":"3c1dc53b-58c5-4c4c-b4ec-2565d6685ab6","year":2019},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.764978Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:07f02879305b563e0a5fce2a007923c23028fa357885aa4f4670ad96f6c0d8ba","observation_id":"f940f66c-7881-48e2-8fdd-c2b575381a34","resolution":{"observed_at":"2026-08-11T13:43:43.334715Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:43.315188Z","title":"Kernel-based reconstruction of graph signals,","venue":null,"work_id":"2a47f7c0-91af-4963-bd8b-762282dfe854","year":2017},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.769653Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:8f88a3ed750235b3d4312a28577debd9d68bf1b6666a309722f220abd2860a2f","observation_id":"ec8f7bcf-e482-4b41-9144-fa8c17fdce1f","resolution":{"observed_at":"2026-08-11T13:43:43.320363Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:43.300355Z","title":"Interpolating splines on graphs for data science applications,","venue":null,"work_id":"f5c8ad28-1506-463c-b23d-2dfeea7813dc","year":2020},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.774291Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:98062ad8da9856fe9f3ba34a43e1668058d723703f0ebf51818bfa200feefccb","observation_id":"131097b8-5e2a-494a-883c-0e6e3659966d","resolution":{"observed_at":"2026-08-11T13:43:43.305417Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:43.277709Z","title":"Polynomial graph filters of multiple shifts and distributed implementation of inverse filtering,","venue":null,"work_id":"f3ea79b3-465e-46a5-884c-e2a33af69042","year":2022},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.779179Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:9fda4861985bbfed6457608ad468993796346c696f90ade6135ca1463db09b28","observation_id":"4301878d-9b30-4476-9e13-966946794a2c","resolution":{"observed_at":"2026-08-11T13:43:43.288783Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:43.149187Z","title":"Kernel ridge regression for generalized graph signal processing,","venue":null,"work_id":"779d2ead-08bd-4444-af76-35cffe8daa59","year":2023},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.783386Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:11ab397abe948c64d0232a2b5b02e8c6d57f8c30a59405f807e4740a5f19031f","observation_id":"1e2ff54e-4fc8-4b9b-9152-c8bbadbce271","resolution":{"observed_at":"2026-08-11T13:43:43.233247Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:43.083354Z","title":"Sampling and reconstruction of signals in a reproducing kernel subspace of Lp(Rd),","venue":null,"work_id":"e9b1e42f-8a15-4a5b-a0d5-5df9d38d1b4b","year":2010},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.788252Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:45223a04f1f604a1d1a4eb7d70f993612113211bc10593ead6c61c7463239f22","observation_id":"8a952322-bed2-4d91-bc51-af76b0aee050","resolution":{"observed_at":"2026-08-11T13:43:43.100788Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:43.008097Z","title":"Discrete signal processing on graphs,","venue":null,"work_id":"aa360fee-a8dd-4781-a613-bf6874144fb7","year":2013},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.792852Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:1fd31ec307674711ca1de0cacd0be5049de77ed5743cc4462b7cdf9ba121cbed","observation_id":"099629a5-3fea-44b5-ad46-abc6dba3019c","resolution":{"observed_at":"2026-08-11T13:43:43.043796Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:42.919121Z","title":"Discrete signal processing on graphs: Frequency analysis,","venue":null,"work_id":"dc2c7bbb-aab4-4542-a6a2-53046a7be59d","year":2014},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.797541Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:2e38aaa07f022e7258c35f0caf960e4a2706f4cd15471484377f1fa8b0fdf56a","observation_id":"d1be565c-a886-497f-a845-1fcbf3cacb50","resolution":{"observed_at":"2026-08-11T13:43:42.961567Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:42.817037Z","title":"Nonsubsampled graph filter banks: theory and distributed algorithms,","venue":null,"work_id":"26d4d094-8e85-4778-8a84-e826a6fe2ba7","year":2019},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.802289Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:216f41c7a738ef6cd5366c3c84553f50cdb2bbc9a0d6faca119c8cc43f0c9e4d","observation_id":"1043f123-c7c3-4af2-b7a0-37bd32e02d17","resolution":{"observed_at":"2026-08-11T13:43:42.847307Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:42.803449Z","title":null,"venue":null,"work_id":"92dd76d8-f3f7-49ca-9c5c-64cfd756f85f","year":1997},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.806949Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:c4ad8075276c3eb15b013fa69ff37f2e5fc61791b90163ea251ba59dc7073904","observation_id":"3b9f53b7-9040-4534-a2e4-e71c612c3bc5","resolution":{"observed_at":"2026-08-11T13:43:42.807506Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:42.789355Z","title":"Fourier could be a data scientist: from graph Fourier transform to signal processing on graphs,","venue":null,"work_id":"1af9e28e-0291-4137-99e5-101a76a86521","year":2019},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.811757Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:8bfdf36ffbc7160641eb17646176e82680649c68e5efb1de94cab12d677c982d","observation_id":"f07c987b-1147-45df-b1e7-4db41d0eb056","resolution":{"observed_at":"2026-08-11T13:43:42.793751Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:42.775005Z","title":"Graph Fourier transform based on singular value decomposition of directed Laplacian,","venue":null,"work_id":"4a6d04b4-0f3e-48c6-9d3e-3f07c4e80a15","year":2023},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.816359Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:6022e0e80f9c963949afe5056772ced334a9d4d9754552dba8c776dffa79878d","observation_id":"120ca394-f638-4d1a-b0a0-2c354f8739d6","resolution":{"observed_at":"2026-08-11T13:43:42.779458Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:42.759959Z","title":"SVD-based graph Fourier transforms on directed product graphs,","venue":null,"work_id":"5361387b-16f1-46b3-a2e1-bb356f30f4a7","year":2023},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.821158Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:d0616ac3cb5baefa98cc1b12b5f3c4ff6363391621eb8c6d09161ce04969f986","observation_id":"c3e2a2be-b4a5-44d0-83f5-e1a0ea6f8b6d","resolution":{"observed_at":"2026-08-11T13:43:42.764367Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.15810","last_updated":"2023-06-27T21:59:34Z","snapshot_observed_at":"2026-08-13T11:08:03.237449Z","submitted_at":"2023-06-27T21:59:34Z","title":"On Graph Uncertainty Principle and Eigenvector Delocalization","version":1},"cited_work":{"arxiv_id":"2306.15810","doi":null,"metadata_source":"pith","pith_arxiv_id":"2306.15810","snapshot_observed_at":"2026-08-11T13:43:42.282639Z","title":"On Graph Uncertainty Principle and Eigenvector Delocalization","venue":"cs.IT","work_id":"ab811838-81b6-4302-8774-e61de02f10d1","year":2023},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.825802Z"},"links":{"cited_paper":"/paper/2306.15810","citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:033cb5f8349be23c4b188eb5ae1485e53a61e5d628d0fe5483063f77ffdcd726","observation_id":"7903fbe5-45a9-4273-8f84-64522aefd9a2","resolution":{"observed_at":"2026-08-11T13:43:42.298305Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:42.745625Z","title":"Uncertainty principles and signal recovery,","venue":null,"work_id":"52eb60db-c1ba-4c64-82c3-46418ed757ce","year":1989},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.834511Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:2b91401aa723fb848291b9434986352795a760a1a8333175d20909c1181f3649","observation_id":"7bcb2427-7d14-4a41-9de9-28777e32107d","resolution":{"observed_at":"2026-08-11T13:43:42.750395Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:42.730582Z","title":"Uncertainty principles and sparse eigenvectors of graphs,","venue":null,"work_id":"a0b2ede7-9388-4c5b-a733-9d60a445a56c","year":2017},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.840964Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:7cc060c39be7a354bf719dbbbed8adf1bd3975ae5f7f966857487049061094a8","observation_id":"56cb8e7a-d8a6-425c-9c29-cb9a105ab34c","resolution":{"observed_at":"2026-08-11T13:43:42.735255Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:42.652937Z","title":"Dynamical sampling: Time–space trade-off,","venue":null,"work_id":"0d600ca4-220d-45e1-a4b7-c9ee2509442b","year":2013},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.865664Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:64c257d079f0870b347b304437c734cff04434ba57a1e170a2c51ac19d9c5210","observation_id":"d17d782a-6222-40bf-beb2-96e77c9879cf","resolution":{"observed_at":"2026-08-11T13:43:42.703327Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:42.557964Z","title":"Sampling of graph signals with successive local aggregations,","venue":null,"work_id":"f93420de-fcc4-41ac-81f9-30bc49ebfff7","year":2016},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.949385Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:8662e9db07e449a840ae5ed3318e29813939599ee4db28ee4b12583f2e748de4","observation_id":"aa9885c9-5aa3-4c33-9403-da9f97db390e","resolution":{"observed_at":"2026-08-11T13:43:42.585775Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:42.488846Z","title":"Dynamical sampling,","venue":null,"work_id":"d923876f-fc8f-4d8f-a8a1-dc568a0b6221","year":2017},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:41.972352Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:0b1a9faba013e4a048128597871c15db4c22192a6078153d795aa54f92ede22a","observation_id":"3c098363-145e-4aa3-914a-081e15e4bedb","resolution":{"observed_at":"2026-08-11T13:43:42.506273Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2109.14079","last_updated":"2021-10-04T00:44:37Z","snapshot_observed_at":"2026-08-13T18:03:16.162720Z","submitted_at":"2021-09-28T22:44:11Z","title":"Robust recovery of bandlimited graph signals via randomized dynamical sampling","version":2},"cited_work":{"arxiv_id":"2109.14079","doi":null,"metadata_source":"pith","pith_arxiv_id":"2109.14079","snapshot_observed_at":"2026-08-11T13:43:42.203598Z","title":"Robust recovery of bandlimited graph signals via randomized dynamical sampling","venue":"cs.IT","work_id":"d55d9902-0f34-470c-957b-7d1b082088d4","year":2021},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:42.013388Z"},"links":{"cited_paper":"/paper/2109.14079","citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:a8d9d44918c8e05d9acd61088c3392862c36074908a454cfd0f2bbc60393f70b","observation_id":"14b6683d-8101-4cc4-97bd-337620b8c2a7","resolution":{"observed_at":"2026-08-11T13:43:42.232348Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:42.473668Z","title":null,"venue":null,"work_id":"49fa4ff8-b325-4c31-ab43-9b0abcc04bea","year":null},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:42.073696Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:295409409ef239f7d7a086c9f1f316067e70cb0f71f5a879018640bde224fb4e","observation_id":"9d079343-ebc9-4848-8366-24d371bb1911","resolution":{"observed_at":"2026-08-11T13:43:42.478118Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:43:42.452411Z","title":null,"venue":null,"work_id":"c4f8f236-801d-476b-b0ff-2ea2d392bd69","year":2000},"citing_paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-11T13:43:42.122233Z"},"links":{"citing_paper":"/paper/2412.12900"},"observation_digest":"sha256:7ed81273e759acb0cd3924ad489bf17ee64bfee194a398c85b5eebb365a71f43","observation_id":"7c203dde-739e-4fc3-82b5-5a678cae1537","resolution":{"observed_at":"2026-08-11T13:43:42.457879Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.12900","last_updated":"2024-12-17T13:23:48Z","latest_version":1,"primary_category":"eess.SP","snapshot_observed_at":"2026-08-11T19:29:25.174076Z","submitted_at":"2024-12-17T13:23:48Z","title":"Shift-invariant spaces, bandlimited spaces and reproducing kernel spaces with shift-invariant kernels on undirected finite graphs"},"reference_resolution":{"displayed":52,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":5,"verified_exact":3,"verified_fuzzy":43},"total_outbound_references":52},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2412.12900."}