{"as_of":"2026-08-16T20:21:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:31fdf11875a445e5d1de4c557224273868f0d1e959655217db57eb7c5839112f","coverage":[{"denominator":27,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":27,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T13:11:26.787997Z","state":"measured"},{"denominator":27,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":27,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+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/1908.05732/citation-record","integrity":"/paper/1908.05732/integrity","json":"/paper/1908.05732/citation-record.json","paper":"/paper/1908.05732"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:11:27.219949Z","title":"On the controllability of nearest neighbor intercon- nections,","venue":null,"work_id":"8c12b9f3-1b99-43ce-a422-b66059eb2d58","year":2004},"citing_paper":{"arxiv_id":"1908.05732","last_updated":"2019-10-10T14:05:47Z","snapshot_observed_at":"2026-08-16T15:48:00.957428Z","submitted_at":"2019-08-15T19:55:17Z","title":"Strong Structural Controllability of Signed Networks","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T13:11:26.662955Z"},"links":{"citing_paper":"/paper/1908.05732"},"observation_digest":"sha256:1358ea31ecc27cbc60950341d8fc37121fa7b0898f5c546d4ac54f8863caca20","observation_id":"1f221ee9-8ef6-43ff-8f8b-4e210e7d5f49","resolution":{"observed_at":"2026-08-14T13:11:27.224297Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:11:27.203699Z","title":"Inter- acting with networks: How does structure relate to controllability in single-leader, consensus networks?","venue":null,"work_id":"f4ddda27-60e7-48f8-bb31-f3b81672c4e3","year":2012},"citing_paper":{"arxiv_id":"1908.05732","last_updated":"2019-10-10T14:05:47Z","snapshot_observed_at":"2026-08-16T15:48:00.957428Z","submitted_at":"2019-08-15T19:55:17Z","title":"Strong Structural Controllability of Signed Networks","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T13:11:26.668205Z"},"links":{"citing_paper":"/paper/1908.05732"},"observation_digest":"sha256:3dbde258985d74cd2535f938332e4427be4f6276a31800524e3aae9808f0f0e3","observation_id":"93162259-b432-4fd9-97cf-1eae44ec64cd","resolution":{"observed_at":"2026-08-14T13:11:27.209362Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:11:27.188875Z","title":"Controllability analysis of networks through their topologies,","venue":null,"work_id":"682cb0e5-c2a9-418a-a64d-c491649d87c1","year":2016},"citing_paper":{"arxiv_id":"1908.05732","last_updated":"2019-10-10T14:05:47Z","snapshot_observed_at":"2026-08-16T15:48:00.957428Z","submitted_at":"2019-08-15T19:55:17Z","title":"Strong Structural Controllability of Signed Networks","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T13:11:26.672870Z"},"links":{"citing_paper":"/paper/1908.05732"},"observation_digest":"sha256:452dbf94ebb3539b4cb12363fe27d328199cff4ee19af24ead754300e0a187c2","observation_id":"9d8179bf-e238-4c0b-8e83-0080e59c832a","resolution":{"observed_at":"2026-08-14T13:11:27.193069Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:11:27.175635Z","title":"Controllability analysis of threshold graphs and cographs,","venue":null,"work_id":"6c44c3c8-938b-4a59-b23d-d93f7229f3a3","year":2018},"citing_paper":{"arxiv_id":"1908.05732","last_updated":"2019-10-10T14:05:47Z","snapshot_observed_at":"2026-08-16T15:48:00.957428Z","submitted_at":"2019-08-15T19:55:17Z","title":"Strong Structural Controllability of Signed Networks","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T13:11:26.677663Z"},"links":{"citing_paper":"/paper/1908.05732"},"observation_digest":"sha256:8aeec66de09453ca4ad6d7597eab329517ec07139be53d08cfe93df599fefb65","observation_id":"46598c58-f6eb-4c47-ae77-3f9700854fe7","resolution":{"observed_at":"2026-08-14T13:11:27.180554Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1802.03599","last_updated":"2020-05-22T01:34:17Z","snapshot_observed_at":"2026-08-14T19:47:10.814877Z","submitted_at":"2018-02-10T14:30:28Z","title":"Laplacian Dynamics on Cographs: Controllability Analysis through Joins and Unions","version":2},"cited_work":{"arxiv_id":"1802.03599","doi":null,"metadata_source":"pith","pith_arxiv_id":"1802.03599","snapshot_observed_at":"2026-08-14T13:11:26.854604Z","title":"Laplacian Dynamics on Cographs: Controllability Analysis through Joins and Unions","venue":"math.OC","work_id":"551cf0c2-f9b6-4f75-ae84-e3b142030c73","year":2018},"citing_paper":{"arxiv_id":"1908.05732","last_updated":"2019-10-10T14:05:47Z","snapshot_observed_at":"2026-08-16T15:48:00.957428Z","submitted_at":"2019-08-15T19:55:17Z","title":"Strong Structural Controllability of Signed Networks","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T13:11:26.683031Z"},"links":{"cited_paper":"/paper/1802.03599","citing_paper":"/paper/1908.05732"},"observation_digest":"sha256:4056b7ff6c39c15b45f1460d97e6911e742821069f23004fac6cb60d0a412d7b","observation_id":"c1722a5f-3c04-4e5a-aa68-4bb6748cf8ac","resolution":{"observed_at":"2026-08-14T13:11:26.862697Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:11:27.163153Z","title":"Strong structural controllability,","venue":null,"work_id":"d0efb5aa-fc97-4df9-9e8c-08320d3a19bb","year":1979},"citing_paper":{"arxiv_id":"1908.05732","last_updated":"2019-10-10T14:05:47Z","snapshot_observed_at":"2026-08-16T15:48:00.957428Z","submitted_at":"2019-08-15T19:55:17Z","title":"Strong Structural Controllability of Signed Networks","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T13:11:26.689187Z"},"links":{"citing_paper":"/paper/1908.05732"},"observation_digest":"sha256:f6be00b176e6974bfbe4addf36e6c7d8b3611685c0f3620025957f6e8fead335","observation_id":"064e308d-df5b-4c3b-ae5a-b3eca98659bb","resolution":{"observed_at":"2026-08-14T13:11:27.167223Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:11:27.149674Z","title":"Strong structural controllability of linear systems revisited,","venue":null,"work_id":"50831cfc-2db7-4250-b6d6-4fe3f088ef76","year":2011},"citing_paper":{"arxiv_id":"1908.05732","last_updated":"2019-10-10T14:05:47Z","snapshot_observed_at":"2026-08-16T15:48:00.957428Z","submitted_at":"2019-08-15T19:55:17Z","title":"Strong Structural Controllability of Signed Networks","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T13:11:26.695092Z"},"links":{"citing_paper":"/paper/1908.05732"},"observation_digest":"sha256:0845b138d95cf2446d8160233796cb5e450a9fc73d4cae74a534ddc2fae210a7","observation_id":"c9731a5b-9fdd-4452-b0e4-2e9cec3e4125","resolution":{"observed_at":"2026-08-14T13:11:27.154942Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:11:27.137674Z","title":"On strong structural controllability of networked systems, a constrained matching approach,","venue":null,"work_id":"635e2a12-6c1e-4bcb-8ee8-68e768afd35e","year":2013},"citing_paper":{"arxiv_id":"1908.05732","last_updated":"2019-10-10T14:05:47Z","snapshot_observed_at":"2026-08-16T15:48:00.957428Z","submitted_at":"2019-08-15T19:55:17Z","title":"Strong Structural Controllability of Signed Networks","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T13:11:26.700951Z"},"links":{"citing_paper":"/paper/1908.05732"},"observation_digest":"sha256:cf886cb52f71e7fe484f4fe6720be70f595ab010a8d2fbf7cec75ea94b7a8097","observation_id":"b2d4d986-59eb-46a7-9f0c-c929443ccc48","resolution":{"observed_at":"2026-08-14T13:11:27.141719Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:11:27.125407Z","title":"Zero forcing sets and controllability of dynamical systems defined on graphs,","venue":null,"work_id":"bb799a4b-f75f-4c04-810a-0313a9498f51","year":2014},"citing_paper":{"arxiv_id":"1908.05732","last_updated":"2019-10-10T14:05:47Z","snapshot_observed_at":"2026-08-16T15:48:00.957428Z","submitted_at":"2019-08-15T19:55:17Z","title":"Strong Structural Controllability of Signed Networks","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T13:11:26.706435Z"},"links":{"citing_paper":"/paper/1908.05732"},"observation_digest":"sha256:523dd35fdfdbda4b517f38aabbaedfe1e77d0e44cef1df0ba2aa1ffe71ba3c40","observation_id":"bc183fe2-369c-4e72-ad1f-5dcfc9e79cbf","resolution":{"observed_at":"2026-08-14T13:11:27.130007Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:11:27.112073Z","title":"Zero forcing number, constrained matchings and strong structural controllability,","venue":null,"work_id":"4f77e563-1437-43e6-a5d4-765bceefaf83","year":2015},"citing_paper":{"arxiv_id":"1908.05732","last_updated":"2019-10-10T14:05:47Z","snapshot_observed_at":"2026-08-16T15:48:00.957428Z","submitted_at":"2019-08-15T19:55:17Z","title":"Strong Structural Controllability of Signed Networks","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T13:11:26.712456Z"},"links":{"citing_paper":"/paper/1908.05732"},"observation_digest":"sha256:3759ccdf9be207ec9e7a2db1e2f8ba82a3e1641d80d1096b109285aa0d2f90ae","observation_id":"bb08c94d-f6bd-4866-800a-9b3e7c855087","resolution":{"observed_at":"2026-08-14T13:11:27.116374Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:11:27.098934Z","title":"On the structural and strong structural controllability of undirected networks,","venue":null,"work_id":"97a17174-20e2-4b77-863d-f08bf87cc718","year":2018},"citing_paper":{"arxiv_id":"1908.05732","last_updated":"2019-10-10T14:05:47Z","snapshot_observed_at":"2026-08-16T15:48:00.957428Z","submitted_at":"2019-08-15T19:55:17Z","title":"Strong Structural Controllability of Signed Networks","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T13:11:26.717353Z"},"links":{"citing_paper":"/paper/1908.05732"},"observation_digest":"sha256:eddfc0b00388587f021229beb00140e54436f43de8750510617b4b4b64430812","observation_id":"522ec4f2-5bf4-419d-aaa5-c2e32d90aedf","resolution":{"observed_at":"2026-08-14T13:11:27.103388Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:11:27.085016Z","title":"Robust strong structural controllability of networks with respect to edge additions and dele- tions,","venue":null,"work_id":"0b1d722a-b4b1-4bf0-afab-0af715e23b0f","year":2017},"citing_paper":{"arxiv_id":"1908.05732","last_updated":"2019-10-10T14:05:47Z","snapshot_observed_at":"2026-08-16T15:48:00.957428Z","submitted_at":"2019-08-15T19:55:17Z","title":"Strong Structural Controllability of Signed Networks","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T13:11:26.722371Z"},"links":{"citing_paper":"/paper/1908.05732"},"observation_digest":"sha256:36b8b2038061f2fb68549b07845ecccd50eb0804b88ac72853d8ec3b688d822e","observation_id":"e9d257cb-744e-4f38-95ff-88d5d89f8e39","resolution":{"observed_at":"2026-08-14T13:11:27.089807Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:11:27.072294Z","title":"Null space strong structural controllability via skew zero forcing sets,","venue":null,"work_id":"a9d6ddcb-3705-479f-ae78-9745449ce392","year":2018},"citing_paper":{"arxiv_id":"1908.05732","last_updated":"2019-10-10T14:05:47Z","snapshot_observed_at":"2026-08-16T15:48:00.957428Z","submitted_at":"2019-08-15T19:55:17Z","title":"Strong Structural Controllability of Signed Networks","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T13:11:26.726680Z"},"links":{"citing_paper":"/paper/1908.05732"},"observation_digest":"sha256:b8bfc120feec792a90dd1df8d0b6cc291673fb0a71aa457dd9a3978b0caf229c","observation_id":"a471f1e7-9201-49b3-a22d-638d6121e46f","resolution":{"observed_at":"2026-08-14T13:11:27.076854Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1904.09960","last_updated":"2020-05-22T01:21:55Z","snapshot_observed_at":"2026-08-14T16:43:05.337237Z","submitted_at":"2019-04-22T17:23:26Z","title":"Strong Structural Controllability of Networks under Time-Invariant and Time-Varying Topological Perturbations","version":2},"cited_work":{"arxiv_id":"1904.09960","doi":null,"metadata_source":"pith","pith_arxiv_id":"1904.09960","snapshot_observed_at":"2026-08-14T13:11:26.826074Z","title":"Strong Structural Controllability of Networks under Time-Invariant and Time-Varying Topological Perturbations","venue":"math.DS","work_id":"4e0b4ebf-d664-44ad-93fa-a6a38befe4a1","year":2019},"citing_paper":{"arxiv_id":"1908.05732","last_updated":"2019-10-10T14:05:47Z","snapshot_observed_at":"2026-08-16T15:48:00.957428Z","submitted_at":"2019-08-15T19:55:17Z","title":"Strong Structural Controllability of Signed Networks","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T13:11:26.732473Z"},"links":{"cited_paper":"/paper/1904.09960","citing_paper":"/paper/1908.05732"},"observation_digest":"sha256:7a7bdd7db7e6e3e46d544c9bd824863fd2eebdea27cf2632a9043d5448a837d3","observation_id":"9fc19c6b-ce70-4905-83d7-6c0cd20b96f0","resolution":{"observed_at":"2026-08-14T13:11:26.833604Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:11:27.058562Z","title":"Controllability of multiagent networks with antagonistic interactions,","venue":null,"work_id":"5675721f-688c-4a9d-bfba-336b8f8bb4c7","year":2017},"citing_paper":{"arxiv_id":"1908.05732","last_updated":"2019-10-10T14:05:47Z","snapshot_observed_at":"2026-08-16T15:48:00.957428Z","submitted_at":"2019-08-15T19:55:17Z","title":"Strong Structural Controllability of Signed Networks","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T13:11:26.737490Z"},"links":{"citing_paper":"/paper/1908.05732"},"observation_digest":"sha256:e35afb095560afa5477314b9d905a223d39b040ddd5c838d84cfc2ed7c6bf244","observation_id":"c00bcdc4-05bc-45ff-8852-894d0b4f38f6","resolution":{"observed_at":"2026-08-14T13:11:27.063844Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:11:27.041600Z","title":"Controllability ensured leader group selection on signed multiagent networks,","venue":null,"work_id":"d2f7377d-c682-4033-879a-5d1099246e13","year":2018},"citing_paper":{"arxiv_id":"1908.05732","last_updated":"2019-10-10T14:05:47Z","snapshot_observed_at":"2026-08-16T15:48:00.957428Z","submitted_at":"2019-08-15T19:55:17Z","title":"Strong Structural Controllability of Signed Networks","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T13:11:26.741640Z"},"links":{"citing_paper":"/paper/1908.05732"},"observation_digest":"sha256:c47d1cb1106ddb41dad82b945e41936535856f859c41f1932abdce3469c59ad4","observation_id":"010e9c66-0cd6-40ef-bdb5-1585ce6554b8","resolution":{"observed_at":"2026-08-14T13:11:27.046494Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:11:27.025294Z","title":"Consensus problems on networks with antagonistic in- teractions,","venue":null,"work_id":"4b179fd3-8916-47b8-8b1b-a67c1ab3117d","year":2013},"citing_paper":{"arxiv_id":"1908.05732","last_updated":"2019-10-10T14:05:47Z","snapshot_observed_at":"2026-08-16T15:48:00.957428Z","submitted_at":"2019-08-15T19:55:17Z","title":"Strong Structural Controllability of Signed Networks","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T13:11:26.745577Z"},"links":{"citing_paper":"/paper/1908.05732"},"observation_digest":"sha256:cf758566c52084de4a8c077a322babec924d12cd41e26bef58c50d74fe01cd49","observation_id":"7b6585db-b023-4468-a3ee-02069e878c85","resolution":{"observed_at":"2026-08-14T13:11:27.032813Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:11:27.008456Z","title":"Wasserman and K","venue":null,"work_id":"87e3d5c3-c3df-4306-8a3c-2c0e34b5f786","year":1994},"citing_paper":{"arxiv_id":"1908.05732","last_updated":"2019-10-10T14:05:47Z","snapshot_observed_at":"2026-08-16T15:48:00.957428Z","submitted_at":"2019-08-15T19:55:17Z","title":"Strong Structural Controllability of Signed Networks","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T13:11:26.750419Z"},"links":{"citing_paper":"/paper/1908.05732"},"observation_digest":"sha256:ab5f19971fe572e47fb11dee20be91084a6cf5d83fa1e9462224e28b194b5cf1","observation_id":"ba27129a-dbb9-450e-b225-04464ec90179","resolution":{"observed_at":"2026-08-14T13:11:27.014302Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:11:26.992718Z","title":"Sign controllability of a nonnegative matrix and a positive vector,","venue":null,"work_id":"1a89f3d8-c76e-485d-bf8b-ecbd681f0dd6","year":1993},"citing_paper":{"arxiv_id":"1908.05732","last_updated":"2019-10-10T14:05:47Z","snapshot_observed_at":"2026-08-16T15:48:00.957428Z","submitted_at":"2019-08-15T19:55:17Z","title":"Strong Structural Controllability of Signed Networks","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T13:11:26.754425Z"},"links":{"citing_paper":"/paper/1908.05732"},"observation_digest":"sha256:1c461d50589f1bebcb2b0e2bc4c011e79ed5b64c8e6d832cde63451360bfe0a6","observation_id":"9837dcc8-a4ea-4f5a-82b7-ea30c5220ff2","resolution":{"observed_at":"2026-08-14T13:11:26.997422Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:11:26.979636Z","title":"Sign controllability: Sign patterns that require complete controllability,","venue":null,"work_id":"66a7d361-ecc7-4f37-872e-3957d2f6f5d5","year":1998},"citing_paper":{"arxiv_id":"1908.05732","last_updated":"2019-10-10T14:05:47Z","snapshot_observed_at":"2026-08-16T15:48:00.957428Z","submitted_at":"2019-08-15T19:55:17Z","title":"Strong Structural Controllability of Signed Networks","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T13:11:26.758788Z"},"links":{"citing_paper":"/paper/1908.05732"},"observation_digest":"sha256:75909736c2bf5c892111d4ad2dd4171d4df371201426a0f08be09a946ff313e2","observation_id":"fcac594f-be72-4652-b994-f3b2b22ff141","resolution":{"observed_at":"2026-08-14T13:11:26.983920Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:11:26.967938Z","title":"Characterization of sign controllability for linear systems with real eigenvalues,","venue":null,"work_id":"c4c40d13-73ad-4455-852c-e69e46ffcef8","year":2013},"citing_paper":{"arxiv_id":"1908.05732","last_updated":"2019-10-10T14:05:47Z","snapshot_observed_at":"2026-08-16T15:48:00.957428Z","submitted_at":"2019-08-15T19:55:17Z","title":"Strong Structural Controllability of Signed Networks","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T13:11:26.763449Z"},"links":{"citing_paper":"/paper/1908.05732"},"observation_digest":"sha256:1c5c412a47a63aee95450c648d02618466d4a2193f72c57e6ffb339b733a2a13","observation_id":"a1ab6243-0af2-446f-8a48-9cf04708a2a0","resolution":{"observed_at":"2026-08-14T13:11:26.971915Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:11:26.953071Z","title":"Zero forcing sets and the minimum rank of graphs,","venue":null,"work_id":"626f6e06-c248-4532-8a82-cd29b79a7ff6","year":2008},"citing_paper":{"arxiv_id":"1908.05732","last_updated":"2019-10-10T14:05:47Z","snapshot_observed_at":"2026-08-16T15:48:00.957428Z","submitted_at":"2019-08-15T19:55:17Z","title":"Strong Structural Controllability of Signed Networks","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T13:11:26.767597Z"},"links":{"citing_paper":"/paper/1908.05732"},"observation_digest":"sha256:3942c451a24d29e50a9c7e01397e68a935180d4506b3d281f926587150ff6c06","observation_id":"6424499c-f8ab-4dd6-bc80-cd11e001c8cc","resolution":{"observed_at":"2026-08-14T13:11:26.958422Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:11:26.938201Z","title":"Computational approaches for zero forcing and related problems,","venue":null,"work_id":"6fce3fd7-033b-41e8-b877-9bb5c278e3ac","year":2019},"citing_paper":{"arxiv_id":"1908.05732","last_updated":"2019-10-10T14:05:47Z","snapshot_observed_at":"2026-08-16T15:48:00.957428Z","submitted_at":"2019-08-15T19:55:17Z","title":"Strong Structural Controllability of Signed Networks","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T13:11:26.771549Z"},"links":{"citing_paper":"/paper/1908.05732"},"observation_digest":"sha256:fb09188d977b041c30ce5b2aadc5b202cc14b72e5889777960527484544c496a","observation_id":"37dfd1ea-464c-450f-b1bb-f2b60bec3b80","resolution":{"observed_at":"2026-08-14T13:11:26.942944Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:11:26.920650Z","title":"Zero forcing for sign patterns,","venue":null,"work_id":"db0ce40c-03bb-4d60-9100-5a8cce38446c","year":2014},"citing_paper":{"arxiv_id":"1908.05732","last_updated":"2019-10-10T14:05:47Z","snapshot_observed_at":"2026-08-16T15:48:00.957428Z","submitted_at":"2019-08-15T19:55:17Z","title":"Strong Structural Controllability of Signed Networks","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T13:11:26.775483Z"},"links":{"citing_paper":"/paper/1908.05732"},"observation_digest":"sha256:b297be4eb6b54949864c99b1b39ba01853266f24fdff3e729913518c1542e7f5","observation_id":"e5f64e99-6254-401c-8a9c-71b871f6bf85","resolution":{"observed_at":"2026-08-14T13:11:26.925990Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:11:26.905458Z","title":"Sign patterns that require real, nonreal or pure imaginary eigenvalues,","venue":null,"work_id":"0a1ee228-d72f-4d9e-b14a-2a6883b1750c","year":1991},"citing_paper":{"arxiv_id":"1908.05732","last_updated":"2019-10-10T14:05:47Z","snapshot_observed_at":"2026-08-16T15:48:00.957428Z","submitted_at":"2019-08-15T19:55:17Z","title":"Strong Structural Controllability of Signed Networks","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T13:11:26.779459Z"},"links":{"citing_paper":"/paper/1908.05732"},"observation_digest":"sha256:7e801b4aba43c1f36af6eb37a4e83de0883ee30c0a18585beb66508228735dac","observation_id":"7c7da380-e117-400e-939b-eacb29cade87","resolution":{"observed_at":"2026-08-14T13:11:26.910136Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:11:26.889242Z","title":null,"venue":null,"work_id":"330999e6-9a9d-4c82-ba88-8ffdf3fd04b7","year":1998},"citing_paper":{"arxiv_id":"1908.05732","last_updated":"2019-10-10T14:05:47Z","snapshot_observed_at":"2026-08-16T15:48:00.957428Z","submitted_at":"2019-08-15T19:55:17Z","title":"Strong Structural Controllability of Signed Networks","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T13:11:26.783900Z"},"links":{"citing_paper":"/paper/1908.05732"},"observation_digest":"sha256:3a6e98ce656424c26e375ef165a29c5b60305de8e5fab3e8bfcfe0f36294b817","observation_id":"77f64192-a48e-4beb-a4c8-8dcbea036c58","resolution":{"observed_at":"2026-08-14T13:11:26.894143Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:11:26.873501Z","title":"On the minimum rank of not necessarily symmetric matrices: a preliminary study,","venue":null,"work_id":"0a244995-99a9-4b54-99d3-d631cc90bea8","year":2009},"citing_paper":{"arxiv_id":"1908.05732","last_updated":"2019-10-10T14:05:47Z","snapshot_observed_at":"2026-08-16T15:48:00.957428Z","submitted_at":"2019-08-15T19:55:17Z","title":"Strong Structural Controllability of Signed Networks","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T13:11:26.787997Z"},"links":{"citing_paper":"/paper/1908.05732"},"observation_digest":"sha256:12b72f871a01d5963a9e9e45a13af32aa75c935809eedaf16c8720f5209faf9f","observation_id":"a74581f7-cb8b-4ec9-87ab-0acc6f34ca44","resolution":{"observed_at":"2026-08-14T13:11:26.878362Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.05732","last_updated":"2019-10-10T14:05:47Z","latest_version":3,"primary_category":"math.OC","snapshot_observed_at":"2026-08-16T15:48:00.957428Z","submitted_at":"2019-08-15T19:55:17Z","title":"Strong Structural Controllability of Signed Networks"},"reference_resolution":{"displayed":27,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":2,"verified_fuzzy":24},"total_outbound_references":27},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:1908.05732."}