{"as_of":"2026-08-06T15:03:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e95a87103ea03d0ac1cd0dc9302db11c25ffd05e9594e224ddb2c073eaf88aaf","coverage":[{"denominator":232,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-27T07:45:01.783922Z","state":"measured"},{"denominator":100,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":100,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-06T06:34:29.942622+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/2606.12026/citation-record","integrity":"/paper/2606.12026/integrity","json":"/paper/2606.12026/citation-record.json","paper":"/paper/2606.12026"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:d0f98aa33a8e37c151e3c6500561e8810869dfc5f3206025afbbbfe188169d66","observation_id":"26249770-7d12-417a-831c-798f89b36ce6","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Local graph partitioning using","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:9acf14766c155e311bf8b2d538dcb57d748239821205bfb8957f6c4825198273","observation_id":"50df53b4-d264-4037-b473-56e71718ee39","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:065ad3702073006950a237fdbae1da52feae1d7bf6f40ec80f43527a6ebcd460","observation_id":"d24fc169-f6d5-4222-ad3e-4f55316d4c16","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Luilli and Giuliano Benenti and Matteo G","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:2aa88c167cfd9ac7ff06dc98697740ca66783a83832b99e71c8ebf41eaeca011","observation_id":"974f35cf-04c5-41b3-bb92-f1f27e50f063","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":", title =","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:bf92d1372b8b9d2e44ef0d89e9c05a23760f2f31bb748737f0ac9a09e9ef94e5","observation_id":"70ac2d1b-d5a4-416d-94b1-d0624ada72dd","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Callaghan and P","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:0d3af29b5d929dab8dddb56c23efea63d9dc1b823586402b0ff74b90c5ed2ea7","observation_id":"b5f2f73f-0618-4d13-ae0a-46d65dcd3f97","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"The anatomy of a large-scale hypertextual","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:a69f6f8e8a9501a57b70fa7e0810a54ca782d0ae8ae0be168e86e1efb6fa942f","observation_id":"75f27849-a41d-44f9-9910-18872b2d1d59","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Zoo of centralities:","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:e2771e6f219b3e26d35f9f9e86aa7dc3ba11345bfda8960998431655b9ad0f78","observation_id":"94d591c7-0109-4745-a119-f13786b8540d","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2511.17247","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-03T13:38:19.223900Z","title":"Signed networks: theory, methods, and applications","venue":null,"work_id":"6f4cec5b-e0e5-45ac-989f-b5d6d61d2f78","year":2025},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:807284fd460c8396e2f44c174bb3284bcb31c3f4e5ad6141b5b8a6d501c2cf87","observation_id":"4022459c-5ca6-419a-82b0-9e55eb51ed3d","resolution":{"observed_at":"2026-07-03T13:38:19.225442Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:8941949af1448afe543ee1dc2c74b2e74730fb07859839ca6d04765169885ce2","observation_id":"e51c791b-3099-4510-982f-85f4a45bad87","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Science , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:f7ce3fadde00ab37f85c40234927f4c1af390764cc9ffaf7e2445f4d04cfe6f8","observation_id":"66a5fb4a-216c-46cf-9070-6f7755375175","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:6846ed3628aff08944f02cb6a594305645dd2e3d6f7412cfed98ab2ed96bfcc5","observation_id":"a349c0bf-b749-4301-807b-1bfed5b298af","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"10.1137/16m1066142","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"2017 , pages =","venue":"PubMed","work_id":"fde8a7c3-2e6a-431d-bd1b-58c7f0083ec5","year":2017},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:7077715a1733c6c1857fe573122a059868f04e93f29b7da49065a514cd32a453","observation_id":"1ad975d0-a705-4c54-9fc0-d2181c0af7e8","resolution":{"observed_at":"2026-06-27T07:50:43.624166Z","resolver_source":"doi","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-27T07:45:01.783922Z","title":"Mucha and Mason A","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:96eb971f32bfeb44b0b404dca84288013092f73358cb0883f5ae571cae907c95","observation_id":"8d4356de-f4bf-4098-8c69-cc38cf7c3b1a","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:c536dcb8706b291999f9daec99f97b7276ea67256b890be2c606a6a679f58699","observation_id":"f0c33071-e828-4823-b82b-643e82978484","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:5e9cb72dd7bd00575506632e45e31ca19bf495f9d6e3f44a291f82756f1df95f","observation_id":"0ed3afda-1a7c-4f82-9eaa-9eb4ad90f78d","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Networks with complex weights:","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:22bc45cfad60cf475af6fbbb342a3b7712c0831a2c8580b249303c738c2abf0b","observation_id":"93d8b000-df07-42a7-9e81-c6b42579c650","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Physical Review X , volume=","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:a6b68c6b7137286f3676cba8272573b68059e500848f3d24b3c05a187b1c9792","observation_id":"166d9501-16cc-4ef8-9dd0-e9724772d628","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:ab2eb40f562b53bdc72f7a48edf20825b9d30d2fbdd1901bb86cb1c09cc3ed0f","observation_id":"022a7018-a45c-4c64-b572-54ea7cd346a3","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Physical Review Letters , volume=","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:2dc2269e285c439daeec2e267d3073b57238f6ee29ee9b78d280af465d99c0be","observation_id":"cdc5cb55-a064-4857-91a8-9b738a4af62c","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Nature , volume=","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:294989d1df36cf2361d6ce8ebcdf570894bb7a7406920106b6c43f2e82f6e3d9","observation_id":"66da0703-fac8-4a2f-8ec4-41e813119c54","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Physical Review Letters , volume=","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:e3eb9db7bab7e69a53b7442c679b6af54f4398aacba316f47961b6e61cd6cd77","observation_id":"dfafb1cc-fdcb-48c3-abeb-7561b4845bbc","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Simulating quantum systems using real","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:a2e13d17d70146d6a8ba2e0825591e4df34ab5bd50acc38ac0ed617de3eb80b9","observation_id":"456d18e0-415a-496d-bcbe-0a794ea36d48","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:94455e865ce60dd93a078ac2308517502a4fe8656187e9362d09e9ddb0021783","observation_id":"9a4c947f-b9a1-40b7-bf44-95f494114e30","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"International Symposium on Mathematical Problems in Theoretical Physics , pages=","venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:d0537973e8d6e15aa662c32f5842fb1544a8a8580e02d4b157227cd9c6a372ae","observation_id":"7b88d8ea-bcba-48ce-b28a-e2328b3821f0","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:b2b8e004d9b2365ba83f5aee68b0450b5c8a026b8c3f2aedf64283f65a8086df","observation_id":"d575bacc-df80-4db9-8d85-3c40875393b9","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:ab6355a5ca7c92028d0c456d7f65d03dcd9b9f4ec7631b772a7947c2bcaa5635","observation_id":"5a4c5b5c-a840-4ccb-abf7-b0071d7d486e","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:46fe910884e4bc2764341dcff30f0fa8e0dc06bffeadfd0abcff05b8e4a03e86","observation_id":"2ec61ee8-f362-40ec-9ce8-b9b2c73924ea","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2206.09490","last_updated":"2023-03-21T02:52:50Z","snapshot_observed_at":"2026-07-06T13:22:31.744348Z","submitted_at":"2022-06-19T21:34:25Z","title":"A Bounded-Confidence Model of Opinion Dynamics with Heterogeneous Node-Activity Levels","version":2},"cited_work":{"arxiv_id":"2206.09490","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2206.09490","snapshot_observed_at":"2026-07-03T13:38:19.213672Z","title":"and Porter, Mason A","venue":null,"work_id":"f3060302-bce9-44d2-aaa3-d1c9846e9e7c","year":null},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"cited_paper":"/paper/2206.09490","citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:14e68c20ed59a14cf73f2f4324ac72b8e4ad495a09a01c3077a1e46823737742","observation_id":"df0d4812-3f20-4064-8cb9-1b9264ed5197","resolution":{"observed_at":"2026-07-03T13:38:19.215080Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-27T07:45:01.783922Z","title":"2018 , edition =","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:57bf4ce5df79f929f49573c9b1ba5bc571a9f2ba5c56ca82d4d86f94ecef5606","observation_id":"4fdd8432-6d7e-48ad-9264-d1800bc0f806","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"SIAM Rev","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:d8e6a11f1b230d9ff4628ec648747878c51ea5ed370e582b226a996b2cfba9ba","observation_id":"72e6322c-68eb-4850-bb48-2ae9ce8e35fa","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:0c8a8d8bab21bae365563d81a36d1d78d62719fdccae73da9c4beb6db2c2321d","observation_id":"6e72c669-53fb-47f4-8b4f-f571fb532749","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:9c280b5d0094fe82bbf76916b677b27e25f9194261f1f682d0718021db7d74dd","observation_id":"33e34215-3679-48b6-8845-a82bde1db980","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Evolution and structure of the","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:efb5660a11b2184041ac9cc02c75e2e351313a6e1e1c3bc80db1554e4c647cfd","observation_id":"2f6a7fc4-d1a9-4a2a-959b-f1e9246f4be0","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:d9ca59e4bafd3654df436576c3d58104670c2e68116185abea8b770b92716394","observation_id":"d1f67c58-c4b7-4737-9f56-b6f950d2eb65","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:5f516d659de4ddc68455ff35885de84e8f068fcdedcde186f0581f358a8a4556","observation_id":"b7ca81ff-42b7-4b03-96a8-1015671ba5ee","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","resolver_source":null,"status":"parse_uncertain"},"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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:4b650a3464fe9c1adade2d70caaf00cb1377d0c89c142bf4c82880ca8a0ffbc7","observation_id":"b7e04a37-330b-483b-993b-5b91de801954","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":", journal=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:5bfa8939a73357ee3a1735bbac649824e2677918bd29458a7a94d7effd779418","observation_id":"a115e799-983f-4d36-a3a9-232bf43bf50a","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:42e2f138d2e40485a26e81490804a7bfcad884302a2c185da45b8d7b5a5c1306","observation_id":"73fba186-ee90-43d1-b2cc-9ba884dbd768","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:de711ec3eb4af6ae8ef06e1bffbcb9e64287568063bdf382cd5334765c438665","observation_id":"50c87951-2aa7-4c72-ac36-d9b7d54179ef","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Quantum network theory of transport with application to the generalized","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:3055d5c4ee7f15164e6ff39d200aa3827ee4c97b71494dbbeebb41ed51e53f6c","observation_id":"6353a8d3-101b-4e24-a692-086307a91dc0","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:9ceac17d611873b13e339606ab23c26aba41abde759007d6734103474156d659","observation_id":"49867c49-3264-443f-8f61-bea8de91ed71","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:c0d25274128df08f6c3e6e11888925d94a25f8f0cca002cca99fb235d954e4e0","observation_id":"f230873b-33bd-4edb-8312-05ba946d99fd","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:c112ddc146f1c93e1fc6f4971aa5c88b4dbc0dec31952832b50dfc24c1b2bf7e","observation_id":"3881f8cf-6e02-4efb-bffc-66cf37dec61b","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"2013 , publisher=","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:ef63b6108b91dc5b71097fad89ff3f5a45c2c9b13bcf57929ec0484250913a46","observation_id":"41a035df-e65c-4891-a3dc-cdb4c5a2d256","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:5bf020c2eca004d7944db0e1a80366836c7bf8db01a82d86dae4fe359601d86a","observation_id":"78759047-15f2-4e7a-9986-71aa617e2406","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"2007 , edition =","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:3a80f4571b30a5dadbfec3fc70866015e68d171cb0a581c69abd051147b437f9","observation_id":"c72f0371-9497-4e05-a790-0d6301929b4a","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Quantum walks defined by digraphs and generalized","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:e798d2d1026b752dba53421573398d897c6c5600fd863ebb93a414fde393d1df","observation_id":"11d5876d-c6af-4c55-9753-60b0b3aedbff","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"A new kind of","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:17eda20ba45d35a052424486f3407856e5e0687e334b9c42b1aa99a583350927","observation_id":"49156199-e298-43c4-8349-10c1c365a749","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Eigenspectral analysis of","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:c193e76325ef8cc39709346b0ad9c6c54a626f340251091e8b495c0ff08dae5a","observation_id":"85955742-6fb1-461e-a534-9318c86f3e1f","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:d87c52f7650042031a04edfaba4010738637bd4128a3f89bb0f02667c33a1d51","observation_id":"162578d4-a6fa-4bff-95a3-cafc8f6b3443","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:3b5d06f9aad575c5a382b2fcb886097550a18184ad8ab38c3f5eba53934a7d33","observation_id":"4f9ab131-bf38-45fa-b52d-380fbfca2aa0","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Hermitian-adjacency matrices and","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:26b1a667e0dfc48e4f15dc7cc27dcfea038a7affb6f1a09920869c5b2a36c971","observation_id":"6a51762a-86f6-4019-8602-9cd99ab59f59","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:7cdf7b1831f7d7ca5ba3290bab550d618d64542c757176c9c517c1e083e4b9d1","observation_id":"b5722f3a-0235-4e0a-a9c4-377b7cda5d83","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Introduction to","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":55,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:89ea4e2646cf33ad67267d3945f21892c69e5722b6fb5f40ff45e094af1992c0","observation_id":"daca6e1f-3478-4875-9fc4-8ce8407fb6fc","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:fe5f6b0c3b0243eb037e37c406b7d42c584109351b3c33afce9cace372bf7c29","observation_id":"e9047a33-ce48-447d-897e-3dce0b3a4b87","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"From infection clusters to metal clusters: significance of the lowest occupied molecular orbital (","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":57,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:244a9b4390d0b0a3b61f2eb5c85af14201f72a1db4ee573e74059425c1333a35","observation_id":"dfb2bf8e-6a20-441a-ab1e-c59386b829a0","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Hirn , editor =","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":58,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:cbd0e85900fd8ff627cb0840e90bb9b247e32d24f33dcb8de8b0ff306e2f3215","observation_id":"8392ae8a-dfa0-4ef1-b35e-6b259d655182","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Machine Learning and Knowledge Discovery in Databases - European Conference,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":59,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:8d341dca557243034f7ec8f282346474ee7843a754617a58f18a2f311cce42cc","observation_id":"2d44fd3c-167e-4381-bec9-d864977d3d43","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Linear Algebra Appl","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":60,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:c94b17467aff87679ffcd9d8233c99bcea174cb7bce70f7306980c758713c48b","observation_id":"e6db36cd-4809-4985-b362-d26722e13cc5","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Nature , volume=","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":61,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:66b5e6f4b98aeaa8fb0a0d3016350d2467399ae60eff184660aa50bb12cf70f6","observation_id":"cebc155d-15b9-48c8-b970-eba600115632","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Science , volume=","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":62,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:49b78ab3ab292b3a7c4465e458c75f6f3b8a0eacaba80f83ed0e4c0171885a86","observation_id":"99ba7e15-4b7e-41fe-8453-779cad4f99a0","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":63,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:118beeff9c41cb4d105f674dae5deb564fb6c8fc1d51c8b78fa9c1b669567641","observation_id":"214afea6-0e38-4a63-9871-5b3b64f3a389","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Frobenius , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":64,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:658d3db14e1d3bd4ee9999c69d8beb01b0f4665797845e36b99ba09adbb34de1","observation_id":"8fcf4ffc-a6d8-4fa2-9b7b-007842bd1236","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Mathematische Annalen , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":65,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:98fabc1186450fe6c9d8228fd8a7415a93d90530eb7cc9b56776202eff47296e","observation_id":"d0331677-3cc0-4a26-9936-7056bbbb40ba","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Physical Review X , volume=","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":66,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:a983fe20dba8bf6836600fe1409cf3fe733cce173d3d864b1a0611085a01620c","observation_id":"41ab66d8-bab4-45bc-ba3e-accd2009f051","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":67,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:7476776edc2b4934ea5d7efd79eb1e750c765eaa0b72d691dd56ba697cbbb006","observation_id":"da9756ae-f2a3-4b21-88bb-d2262db1cab7","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":", journal=","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":68,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:c8fd4b4e9402756286cf5d82a8e9f4a59809d3578f6ce4b544f4c3ccde92ba9c","observation_id":"9313103a-4acd-4f42-b36c-bc36433f5f33","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Cones and gauges in complex spaces: Spectral gaps and complex","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":69,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:1cb1b8ae1639439f24f02d0eac82d4e2c04c8c86e5d0e2b767a4a34b103c779a","observation_id":"ad74f796-705b-4c67-98cf-f57fe286174a","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Linear and Multilinear Algebra , volume=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":70,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:6a287e4d726adcbf4a242a1861d86fc57a36318c3fa45ad2898672b38aa8ef75","observation_id":"c8168607-8bf7-4565-ae7d-0d82b52740de","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"2016 , publisher=","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":71,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:11549cd3bb7bb8d5044fd9154a2aab0921720eaaac9514bb1830fe29fcc90b0f","observation_id":"64d257d0-a2e3-4cd6-bf4d-7cdb324720a2","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Introduction of Quantum Mechanics, 2nd edition , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":72,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:09bdba9fb80872e7bd53394306954beda7941c2cd333e1a402ec26d3b436d862","observation_id":"62310310-0b60-41e6-b5bf-7144bc597efa","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":1925},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":73,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:e95f5dde8365e6ee20569b07ebf49dada04fb6e9fa3538c1d87fb35befb6b5db","observation_id":"54a0e80e-543d-40e0-9486-dfa705d27cf3","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Quantisierung als","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":74,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:8aa1e7cafdd02be8e62461311d977f7b63ef9bb7b69628a6549808f0cfa14d9f","observation_id":"940c0f79-908e-465b-a5cd-0fe2401218a5","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":75,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:4461a19085a62a7f21aca4067e91ace6022bb5b43731f5822083c6ae6b6f111d","observation_id":"e6a8b481-8801-4b13-bdeb-20341469b93e","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"2009 , publisher=","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":76,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:2e6074fee443d29a393a559b4c40b6a8b280d54ab5f288aff2cbbf6ac468cd40","observation_id":"76a6a46c-b615-4a1c-8db5-4e0db991fd22","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Hermitian matrices for clustering directed graphs: insights and applications , booktitle =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":77,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:257cd1eb3700504889245d4623ca15880b6661df30ecbc01b5ae2fb5d2aec0bf","observation_id":"ee4473ed-74c1-48df-bbe3-c233b0b7f89e","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"and Loss, Michael , journal=","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":78,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:d346420ae08bf8708e3663519ffecc0fb281f0208595604074dc26d556aa2851","observation_id":"dc1035f3-5893-4abf-a2aa-a8a1f9445465","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":79,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:f5610a6a02ef04723cb13de0f5bc5b13eeebc6ebec9ccddec83e833d75732097","observation_id":"5fe814a9-96d2-489f-b6f8-15e81d002a11","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Fractional statistics in anyon collisions , journal =","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":80,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:1aed167189c39f2e89d6dc2f4132fe783108e37a80292472701fa1b69e4803c4","observation_id":"0cbf4ea1-3434-4caf-8b16-732b2fb86e67","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Nuovo Cim","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":81,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:1b87726c68fc352bc764ec61061974afd129653ce664875ac137eec56e5d21af","observation_id":"9a78b99d-a336-44af-a822-4d2370f0416b","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Physical Review Letters , volume=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":82,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:f7b8ffb0ee66767956bd5610e30a0e913c028e5686210181fe93d07b7c77e81d","observation_id":"fcc9169c-2703-4d6b-863d-b0b30495e1d8","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Physical Review Letters , volume=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":83,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:5db85902ed5469a01b47e6e92ed1705d37d826f3565941d3cf3fad00c6c9144e","observation_id":"a99e65ff-6ba1-42bd-a901-832d633422ec","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":84,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:d72cdf98be73c3bed7b4e64b820457ec3187359416667f3f172c55926f45df2c","observation_id":"028311e4-38cd-4ed3-8a98-aa77da992d51","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"On the characterization of molecular stereostructure: 1","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":85,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:bcad2315cc661eacda5dbf4ae4e2f6645c4f153c2be088c2be9c6472a8706364","observation_id":"5ac83d25-fe83-42cf-9a31-e6ec6cae4b5d","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":86,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:677f6f5fd32a52444806c6c3cc8fbfd6004cbb5be52b902df429690cfa73dcfe","observation_id":"99fc37af-61c3-41f8-a702-007dd02832ab","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":87,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:a4dd6b72193b569d0d01d506914476119c71634e57d75ae572be8cd9690c1d47","observation_id":"eb2dfba3-d82c-4da8-bffe-8a3cfba6c0f6","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"D iscrete G raphs -- A P aradigm M odel for Q uantum C haos","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":88,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:7d684601c931a985ebd24b0288f2e70d326f6fcd6428dccebcf34c623b0121b4","observation_id":"5419c7a9-fe84-450f-9822-cece09370c1c","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":89,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:d8dc452754dd22df3b6bffba3005334f13ca09f5356afae113de30be9dc0aabe","observation_id":"f4139767-073f-4943-b84e-93ef0cb7adc6","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":90,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:99449127f51576b41d177f44a71139a8eb4b2499dd0b852a7f184cd2f8269ac4","observation_id":"80c0f618-aa28-4c75-a803-ac8c989939ea","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":91,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:936645d9ceedeed00528d356d39519bd07321a98087d54776e4a62826b05906b","observation_id":"7dedebbe-fd4c-45e3-a5d2-f604eaa342c1","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Practical quantum synchronization for the","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":92,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:e8ecae47ea0b3e9a7689c4294ac2769f862872f20e65b41ae2222515c38b3775","observation_id":"245758e9-0093-4e11-a7fd-b6cc389b3d5d","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Quantum synchronization of the","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":93,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:f844c6e92f445ff0db849d61fb887e3eff4cb7dbd3f715b98b9c18cca4068c73","observation_id":"e5f888b2-1176-4cde-8fff-f28442d0f426","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":94,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:7b1fe7da121a5c5e75c2edfc720134b567ecf1b511d09579eeea9d4a7384ed89","observation_id":"ec91fdd8-fa28-41db-a556-a8e8e0f851b5","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":95,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:f6a718ccc23f79e8a6a0bb47a5007a1a54c9759955ba81f3310ee46f3f12e0fb","observation_id":"ed4a1cb5-2b1d-4054-974f-faa427882729","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":96,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:4f8355d46dd6e1a0167fb5d83542da5fb10633c07d03c14c1a9f6a044f6d1112","observation_id":"1667bbef-bb56-41de-a3b7-f08d413f590c","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"Experimental study of synchronization of coupled electrical self-oscillators and comparison to the","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":97,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:e6045be082596a40e79826bada45af18bb9404eeaa4c7b4f039b8ed0479056ab","observation_id":"5e880dd3-2b1d-4848-9ad6-da0b682ef1a0","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":98,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:07fe73fda498c6c14df7254e47a137b141487fbe31f6b1ffbb91af1fd55e5f4a","observation_id":"470a1f38-1605-401b-8eca-70f69a9354a2","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":99,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:59c6e09c771b14b14ee4469850fb114b0b10b041482836f14fba9f176fbf8b61","observation_id":"ca2e2a2a-4954-4bcf-9b75-c183a753fa40","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","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":"2026-06-27T07:45:01.783922Z","title":"PLoS ONE , volume=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights","version":1},"reference_index":100,"source":"arxiv_source","source_observed_at":"2026-06-27T07:45:01.783922Z"},"links":{"citing_paper":"/paper/2606.12026"},"observation_digest":"sha256:57cedfa17eda4ba1f9f527fcbd74d7f5761b2f84280e8e14f5f12f51f3aedc2a","observation_id":"908ed2d3-bb24-4297-8009-25bb51ffcd25","resolution":{"observed_at":"2026-06-27T07:45:01.783922Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.12026","last_updated":"2026-06-10T12:49:05Z","latest_version":1,"primary_category":"math.SP","snapshot_observed_at":"2026-07-06T23:51:02.805629Z","submitted_at":"2026-06-10T12:49:05Z","title":"Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":1,"unresolved":96,"verified_exact":2,"verified_fuzzy":0},"total_outbound_references":232},"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":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"thesis":"As of 6 August 2026, this Paper Citation Record lists 100 of 232 outbound references and 0 inbound Pith citation observations for arXiv:2606.12026."}