{"as_of":"2026-08-23T19:49:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:14e7b58b81054fa551af07df1316fba04754d4043857fa16edd730e68506304e","coverage":[{"denominator":25,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":25,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T05:15:04.858780Z","state":"measured"},{"denominator":25,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":25,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-23T06:30:58.430688+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/1909.02057/citation-record","integrity":"/paper/1909.02057/integrity","json":"/paper/1909.02057/citation-record.json","paper":"/paper/1909.02057"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T05:15:05.115148Z","title":"Domination in graphs with bounded propag ation: algorithms, formulations and hardness results","venue":null,"work_id":"66a165b4-9c14-41fb-932d-040305fa3bdb","year":2010},"citing_paper":{"arxiv_id":"1909.02057","last_updated":"2019-09-04T19:05:32Z","snapshot_observed_at":"2026-08-17T20:58:00.345101Z","submitted_at":"2019-09-04T19:05:32Z","title":"Failed power domination on graphs","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T05:15:04.778684Z"},"links":{"citing_paper":"/paper/1909.02057"},"observation_digest":"sha256:37806694bc732e82fc634cb3bf9fca2df9408a6accd3f3c426de856a507760ee","observation_id":"3805351c-5789-4851-8ead-19e5f0e9fb60","resolution":{"observed_at":"2026-08-14T05:15:05.118037Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T05:15:05.105885Z","title":"Zero forcin g sets and the minimum rank of graphs","venue":null,"work_id":"08da1873-10de-4332-9f4f-86e753192565","year":2008},"citing_paper":{"arxiv_id":"1909.02057","last_updated":"2019-09-04T19:05:32Z","snapshot_observed_at":"2026-08-17T20:58:00.345101Z","submitted_at":"2019-09-04T19:05:32Z","title":"Failed power domination on graphs","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T05:15:04.782877Z"},"links":{"citing_paper":"/paper/1909.02057"},"observation_digest":"sha256:10429619521db91cc270cd13d0e8d4289c32e4f242631af25275faf0c19755bf","observation_id":"577b6112-f6fd-492b-9676-9072d8c6e863","resolution":{"observed_at":"2026-08-14T05:15:05.108798Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T05:15:05.097187Z","title":"Spectra of Families of Matrices described by Graphs, Digraphs, and Sign Patterns , Palo Alto, CA, October 2006","venue":null,"work_id":"983cad85-60ad-4ecb-8505-9bee505a6ad3","year":2006},"citing_paper":{"arxiv_id":"1909.02057","last_updated":"2019-09-04T19:05:32Z","snapshot_observed_at":"2026-08-17T20:58:00.345101Z","submitted_at":"2019-09-04T19:05:32Z","title":"Failed power domination on graphs","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T05:15:04.786744Z"},"links":{"citing_paper":"/paper/1909.02057"},"observation_digest":"sha256:e0ff1fd11c298264770c97277f191cfd4a347f5fff6ade45334eca422bf2eabd","observation_id":"844591b8-e71d-4f6a-88de-aa37081ee437","resolution":{"observed_at":"2026-08-14T05:15:05.100473Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T05:15:05.088372Z","title":"Failed skew zero forcing on a graph","venue":null,"work_id":"8d9b7c23-e2fd-4e9e-953d-bcc3481d6ff4","year":2016},"citing_paper":{"arxiv_id":"1909.02057","last_updated":"2019-09-04T19:05:32Z","snapshot_observed_at":"2026-08-17T20:58:00.345101Z","submitted_at":"2019-09-04T19:05:32Z","title":"Failed power domination on graphs","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T05:15:04.790471Z"},"links":{"citing_paper":"/paper/1909.02057"},"observation_digest":"sha256:e5f508c64636900889fa31b5abd5bc9bf9bcd6721ff45c2d5d4b1e0034ae2932","observation_id":"d77482ff-607e-47c8-b75c-cf4477eb3719","resolution":{"observed_at":"2026-08-14T05:15:05.091564Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T05:15:05.080491Z","title":"Baldwin, L","venue":null,"work_id":"73e26e51-97c1-4f11-862c-fff1d51c8dbc","year":1993},"citing_paper":{"arxiv_id":"1909.02057","last_updated":"2019-09-04T19:05:32Z","snapshot_observed_at":"2026-08-17T20:58:00.345101Z","submitted_at":"2019-09-04T19:05:32Z","title":"Failed power domination on graphs","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T05:15:04.794589Z"},"links":{"citing_paper":"/paper/1909.02057"},"observation_digest":"sha256:50b990402bada395573072aa86e6aa573fbba29bcc6156ceba0b0628dede66da","observation_id":"6825320e-c5e6-4311-aded-28e5923ceaff","resolution":{"observed_at":"2026-08-14T05:15:05.083149Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T05:15:05.071726Z","title":"Fallat, H","venue":null,"work_id":"77fcf848-df1c-4cf0-b6fd-10b42069a4c0","year":2010},"citing_paper":{"arxiv_id":"1909.02057","last_updated":"2019-09-04T19:05:32Z","snapshot_observed_at":"2026-08-17T20:58:00.345101Z","submitted_at":"2019-09-04T19:05:32Z","title":"Failed power domination on graphs","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T05:15:04.799231Z"},"links":{"citing_paper":"/paper/1909.02057"},"observation_digest":"sha256:5b3db46def3aa16ce10b1197eeaaedbac437357c112cac82da1d3be50f77d4ff","observation_id":"2c57a4da-f98f-474c-8ecb-235a5ef44d81","resolution":{"observed_at":"2026-08-14T05:15:05.074752Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T05:15:05.062031Z","title":"Fallat, H","venue":null,"work_id":"4a107e0a-e15c-4bb6-a41e-fafbe1df3667","year":2012},"citing_paper":{"arxiv_id":"1909.02057","last_updated":"2019-09-04T19:05:32Z","snapshot_observed_at":"2026-08-17T20:58:00.345101Z","submitted_at":"2019-09-04T19:05:32Z","title":"Failed power domination on graphs","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T05:15:04.802454Z"},"links":{"citing_paper":"/paper/1909.02057"},"observation_digest":"sha256:deeee66896847abcc73fcfce3d5b871cb6f3259ad5540783cb3a3810c3c7fcfd","observation_id":"5d2c7a87-6666-4759-879f-08dceb54ae6c","resolution":{"observed_at":"2026-08-14T05:15:05.065370Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T05:15:05.052465Z","title":"Benson, Daniela Ferrero, Mary Flagg, Veron ika Furst, Leslie Hogben, Violeta Vasilevska, and Brian Wissman","venue":null,"work_id":"d0c58a98-dced-40aa-be57-97735d283d3c","year":2018},"citing_paper":{"arxiv_id":"1909.02057","last_updated":"2019-09-04T19:05:32Z","snapshot_observed_at":"2026-08-17T20:58:00.345101Z","submitted_at":"2019-09-04T19:05:32Z","title":"Failed power domination on graphs","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T05:15:04.805456Z"},"links":{"citing_paper":"/paper/1909.02057"},"observation_digest":"sha256:09824bbbd677e9e3f293cbff2b645ef27fc1cf8c48e3388a963c634e1d11e38f","observation_id":"9217bc3b-02d0-4e47-b9c9-4b9edbae1097","resolution":{"observed_at":"2026-08-14T05:15:05.055963Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T05:15:05.042864Z","title":"Local controlla- bility of quantum networks","venue":null,"work_id":"888bd395-92c5-4565-9cb2-9158a3909dcc","year":2009},"citing_paper":{"arxiv_id":"1909.02057","last_updated":"2019-09-04T19:05:32Z","snapshot_observed_at":"2026-08-17T20:58:00.345101Z","submitted_at":"2019-09-04T19:05:32Z","title":"Failed power domination on graphs","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T05:15:04.808345Z"},"links":{"citing_paper":"/paper/1909.02057"},"observation_digest":"sha256:07d13377ad377afaa9ca6820f570005767e20401d928efe6a682ec4b5d6567ca","observation_id":"4ba6be88-7e88-4932-ac31-6f078b66e959","resolution":{"observed_at":"2026-08-14T05:15:05.046415Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T05:15:05.033043Z","title":"Zero forcing, linear and quantum controllability fo r systems evolving on networks","venue":null,"work_id":"db2f90fc-d591-45cc-b8db-76561966e16a","year":2013},"citing_paper":{"arxiv_id":"1909.02057","last_updated":"2019-09-04T19:05:32Z","snapshot_observed_at":"2026-08-17T20:58:00.345101Z","submitted_at":"2019-09-04T19:05:32Z","title":"Failed power domination on graphs","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T05:15:04.811426Z"},"links":{"citing_paper":"/paper/1909.02057"},"observation_digest":"sha256:74bf30ee8616f5662eb8dc670648b1c346fb914fb86e8bd9ed41af5418175f12","observation_id":"d376d727-c2fd-4255-903c-947645cc715a","resolution":{"observed_at":"2026-08-14T05:15:05.036744Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T05:15:05.023454Z","title":"Full contro l by locally induced relaxation","venue":null,"work_id":"391d0698-84d8-4ea9-ab27-ebb12933d491","year":2007},"citing_paper":{"arxiv_id":"1909.02057","last_updated":"2019-09-04T19:05:32Z","snapshot_observed_at":"2026-08-17T20:58:00.345101Z","submitted_at":"2019-09-04T19:05:32Z","title":"Failed power domination on graphs","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T05:15:04.814330Z"},"links":{"citing_paper":"/paper/1909.02057"},"observation_digest":"sha256:db32c7f2cf3d730960409fb99033703544220079e4fefa2b2bf7da2460f24a57","observation_id":"0b3f8fd1-f22b-4326-a2d4-145de6b88119","resolution":{"observed_at":"2026-08-14T05:15:05.027047Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T05:15:05.013558Z","title":"Indirect Hamiltoni an identification through a small gateway","venue":null,"work_id":"2f4d7a35-61e7-4582-9c4e-1795945c9197","year":2009},"citing_paper":{"arxiv_id":"1909.02057","last_updated":"2019-09-04T19:05:32Z","snapshot_observed_at":"2026-08-17T20:58:00.345101Z","submitted_at":"2019-09-04T19:05:32Z","title":"Failed power domination on graphs","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T05:15:04.817062Z"},"links":{"citing_paper":"/paper/1909.02057"},"observation_digest":"sha256:a510db26662cfd4427ac552f980a03a3af88674715b062f041c0569cd491410b","observation_id":"aa599af8-2026-49d1-9b18-0dca5e2038fc","resolution":{"observed_at":"2026-08-14T05:15:05.017300Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T05:15:05.005054Z","title":null,"venue":null,"work_id":"c296ef2f-b66d-490c-bab6-8564163fe07a","year":2017},"citing_paper":{"arxiv_id":"1909.02057","last_updated":"2019-09-04T19:05:32Z","snapshot_observed_at":"2026-08-17T20:58:00.345101Z","submitted_at":"2019-09-04T19:05:32Z","title":"Failed power domination on graphs","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T05:15:04.819680Z"},"links":{"citing_paper":"/paper/1909.02057"},"observation_digest":"sha256:6cb3cddfbe5b15d93be36baffb8ad30d6b87ef6ca9ae0d6cf31fd7b467bc7f51","observation_id":"39ce5cda-120c-4181-bf85-4a792ea718fb","resolution":{"observed_at":"2026-08-14T05:15:05.007905Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T05:15:04.995653Z","title":"T he failed zero forcing number of a graph","venue":null,"work_id":"c5c0e386-2281-4b57-bf84-e25858f1928e","year":2015},"citing_paper":{"arxiv_id":"1909.02057","last_updated":"2019-09-04T19:05:32Z","snapshot_observed_at":"2026-08-17T20:58:00.345101Z","submitted_at":"2019-09-04T19:05:32Z","title":"Failed power domination on graphs","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T05:15:04.822583Z"},"links":{"citing_paper":"/paper/1909.02057"},"observation_digest":"sha256:c2420bac004f4ca58d5d43cb3c2d3cb3d774350064deb1c5a8e9ef391d3d7cc6","observation_id":"30f1044b-eab6-484f-a150-8816f2350ecd","resolution":{"observed_at":"2026-08-14T05:15:04.998774Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T05:15:04.986394Z","title":"Henning, Bert Randerath, an d Preben Dahl Vestergaard","venue":null,"work_id":"d097d164-6c79-4376-a41c-406635311a74","year":2009},"citing_paper":{"arxiv_id":"1909.02057","last_updated":"2019-09-04T19:05:32Z","snapshot_observed_at":"2026-08-17T20:58:00.345101Z","submitted_at":"2019-09-04T19:05:32Z","title":"Failed power domination on graphs","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T05:15:04.825476Z"},"links":{"citing_paper":"/paper/1909.02057"},"observation_digest":"sha256:9fc4ddfb43a3c557433fa72fec31dc2dcf7fafba4fdb9f4d55db80e03e64fc4f","observation_id":"902b0097-7a04-48c5-ba5e-43967873cc4d","resolution":{"observed_at":"2026-08-14T05:15:04.989335Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T05:15:04.977349Z","title":"Haynes, Sandra M","venue":null,"work_id":"36105c67-d74f-400e-9922-cf12f2483040","year":2002},"citing_paper":{"arxiv_id":"1909.02057","last_updated":"2019-09-04T19:05:32Z","snapshot_observed_at":"2026-08-17T20:58:00.345101Z","submitted_at":"2019-09-04T19:05:32Z","title":"Failed power domination on graphs","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T05:15:04.829057Z"},"links":{"citing_paper":"/paper/1909.02057"},"observation_digest":"sha256:2e10402ba3a860e1b853e774d297345092e529949b19f030e153fc6e8536a63e","observation_id":"12c0f339-2076-41fe-9b9f-98b2121506f0","resolution":{"observed_at":"2026-08-14T05:15:04.980547Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T05:15:04.967650Z","title":"Heydt, Chen-Ching Liu, A.G","venue":null,"work_id":"fa03071a-7875-42cc-9522-70478daa71df","year":2001},"citing_paper":{"arxiv_id":"1909.02057","last_updated":"2019-09-04T19:05:32Z","snapshot_observed_at":"2026-08-17T20:58:00.345101Z","submitted_at":"2019-09-04T19:05:32Z","title":"Failed power domination on graphs","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T05:15:04.832383Z"},"links":{"citing_paper":"/paper/1909.02057"},"observation_digest":"sha256:bbce1a2ddd4629f8053ebdb68ff3c4de96347252c3e740a35a7a4d47c93a7c29","observation_id":"ac6c87ff-c9d1-471b-849c-766bad17753d","resolution":{"observed_at":"2026-08-14T05:15:04.971016Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T05:15:04.956894Z","title":"Minimum rank problems","venue":null,"work_id":"26b2539a-5c6c-4819-8aad-5ccb8d19b984","year":1961},"citing_paper":{"arxiv_id":"1909.02057","last_updated":"2019-09-04T19:05:32Z","snapshot_observed_at":"2026-08-17T20:58:00.345101Z","submitted_at":"2019-09-04T19:05:32Z","title":"Failed power domination on graphs","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T05:15:04.835643Z"},"links":{"citing_paper":"/paper/1909.02057"},"observation_digest":"sha256:8223e6559ea716fdda07c8e0bbd813493788244af17f936f8956dd80a3586feb","observation_id":"0de00c86-6977-4226-9555-130f593f03b0","resolution":{"observed_at":"2026-08-14T05:15:04.960797Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T05:15:04.946865Z","title":"Parameterized power domination complexity","venue":null,"work_id":"4040a062-4c7f-43b0-99e0-2143813c048b","year":2006},"citing_paper":{"arxiv_id":"1909.02057","last_updated":"2019-09-04T19:05:32Z","snapshot_observed_at":"2026-08-17T20:58:00.345101Z","submitted_at":"2019-09-04T19:05:32Z","title":"Failed power domination on graphs","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T05:15:04.839069Z"},"links":{"citing_paper":"/paper/1909.02057"},"observation_digest":"sha256:49f1e639b2969734badde6a3ea1c0c08cf2a9ccc50e69c5e46d6c804bbe04707","observation_id":"0849bbdb-cf5d-4851-9666-988083a2ee44","resolution":{"observed_at":"2026-08-14T05:15:04.950444Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T05:15:04.936836Z","title":"Nuqui and Arun G","venue":null,"work_id":"78dd77d4-2a99-4db8-9262-fd3eb90cd41b","year":2005},"citing_paper":{"arxiv_id":"1909.02057","last_updated":"2019-09-04T19:05:32Z","snapshot_observed_at":"2026-08-17T20:58:00.345101Z","submitted_at":"2019-09-04T19:05:32Z","title":"Failed power domination on graphs","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T05:15:04.842397Z"},"links":{"citing_paper":"/paper/1909.02057"},"observation_digest":"sha256:cbc40e30a9296325f4aa5ada0fbf129bda29bb817f118696e40ef998cc4a36a7","observation_id":"0e7b1be9-d31a-4183-b045-20a043fe0098","resolution":{"observed_at":"2026-08-14T05:15:04.940131Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T05:15:04.925988Z","title":null,"venue":null,"work_id":"e9ae9522-1e2a-4d35-a2c0-48a52b8168e0","year":2012},"citing_paper":{"arxiv_id":"1909.02057","last_updated":"2019-09-04T19:05:32Z","snapshot_observed_at":"2026-08-17T20:58:00.345101Z","submitted_at":"2019-09-04T19:05:32Z","title":"Failed power domination on graphs","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T05:15:04.845881Z"},"links":{"citing_paper":"/paper/1909.02057"},"observation_digest":"sha256:b341019450f1fd389fab0b391626a59dba734eeffaed8a16fa4030f0e906e16b","observation_id":"71ad0e3f-577a-40a6-b9eb-285bbdef628d","resolution":{"observed_at":"2026-08-14T05:15:04.929269Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T05:15:04.916302Z","title":"Nondiscriminatory propagation on tr ees","venue":null,"work_id":"67c4e9f0-6e58-4da2-a428-0c909572bb0c","year":2008},"citing_paper":{"arxiv_id":"1909.02057","last_updated":"2019-09-04T19:05:32Z","snapshot_observed_at":"2026-08-17T20:58:00.345101Z","submitted_at":"2019-09-04T19:05:32Z","title":"Failed power domination on graphs","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T05:15:04.849299Z"},"links":{"citing_paper":"/paper/1909.02057"},"observation_digest":"sha256:ee1fa32c34b25070d00b95b647ad25d7a7f63956de211022b9a6794be13d515d","observation_id":"1abab4b0-a111-43a2-9e98-8e69bdd986f7","resolution":{"observed_at":"2026-08-14T05:15:04.919307Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T05:15:04.905403Z","title":"On the complexity of failed zero forci ng","venue":null,"work_id":"0380e414-2bc7-43f2-bcc7-fa52b861ddb5","year":2017},"citing_paper":{"arxiv_id":"1909.02057","last_updated":"2019-09-04T19:05:32Z","snapshot_observed_at":"2026-08-17T20:58:00.345101Z","submitted_at":"2019-09-04T19:05:32Z","title":"Failed power domination on graphs","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T05:15:04.852638Z"},"links":{"citing_paper":"/paper/1909.02057"},"observation_digest":"sha256:021a856a0382860d760e5a564acbb39c88905693eed7f104558fabe9a83b2406","observation_id":"ebd55c47-bd78-465a-ade7-478e9f49df35","resolution":{"observed_at":"2026-08-14T05:15:04.909535Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T05:15:04.894637Z","title":"Failed power domination","venue":null,"work_id":"cc60ba15-b2d6-40cf-8ca0-957d03066ca5","year":2017},"citing_paper":{"arxiv_id":"1909.02057","last_updated":"2019-09-04T19:05:32Z","snapshot_observed_at":"2026-08-17T20:58:00.345101Z","submitted_at":"2019-09-04T19:05:32Z","title":"Failed power domination on graphs","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T05:15:04.855957Z"},"links":{"citing_paper":"/paper/1909.02057"},"observation_digest":"sha256:88dac6f6234fc2c2f6fd9d8832c5b9edbec65192f456d857e683a157495fdd5a","observation_id":"c24954ea-3180-4995-bd58-a8e1cfa1f45b","resolution":{"observed_at":"2026-08-14T05:15:04.898997Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T05:15:04.882626Z","title":"Vijayakumar, and Andreas M","venue":null,"work_id":"e6a9bf3f-c03b-4c2a-8938-1a071510c021","year":2018},"citing_paper":{"arxiv_id":"1909.02057","last_updated":"2019-09-04T19:05:32Z","snapshot_observed_at":"2026-08-17T20:58:00.345101Z","submitted_at":"2019-09-04T19:05:32Z","title":"Failed power domination on graphs","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T05:15:04.858780Z"},"links":{"citing_paper":"/paper/1909.02057"},"observation_digest":"sha256:ba3aa73359378e395b8aa0f9014fd3d0b4da2561555bb29a532e5d41adf3ac79","observation_id":"748881e3-9004-4126-ae7f-a1cc4eede3f5","resolution":{"observed_at":"2026-08-14T05:15:04.887325Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1909.02057","last_updated":"2019-09-04T19:05:32Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-17T20:58:00.345101Z","submitted_at":"2019-09-04T19:05:32Z","title":"Failed power domination on graphs"},"reference_resolution":{"displayed":25,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":0,"verified_fuzzy":23},"total_outbound_references":25},"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":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"thesis":"As of 23 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:1909.02057."}