{"as_of":"2026-08-16T15:46:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:99c5a1716ee80900d13868380ba912d890fd506d9e6a1d50710d8cc82102ca23","coverage":[{"denominator":26,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":26,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T13:59:10.925756Z","state":"measured"},{"denominator":26,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":26,"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/1908.04189/citation-record","integrity":"/paper/1908.04189/integrity","json":"/paper/1908.04189/citation-record.json","paper":"/paper/1908.04189"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:59:11.226363Z","title":"Anusuya, R","venue":null,"work_id":"31a0afc0-7dc1-4aa8-9677-7496773ddb94","year":2012},"citing_paper":{"arxiv_id":"1908.04189","last_updated":"2019-08-12T15:11:27Z","snapshot_observed_at":"2026-08-16T02:22:57.820407Z","submitted_at":"2019-08-12T15:11:27Z","title":"Minimal graphs with disjoint dominating and paired-dominating sets","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T13:59:10.833736Z"},"links":{"citing_paper":"/paper/1908.04189"},"observation_digest":"sha256:d60879e87b5f75e0cc3086c470b013cb9ab803c07ed73d5f85ce093d3183ef6e","observation_id":"53723bc6-186e-4adf-a7c5-5ead6be270a9","resolution":{"observed_at":"2026-08-14T13:59:11.229878Z","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":"2026-08-14T13:59:11.215574Z","title":"Broere, M","venue":null,"work_id":"bf15f6ff-d7bd-4ca0-b61b-7d08e7d29bc7","year":2004},"citing_paper":{"arxiv_id":"1908.04189","last_updated":"2019-08-12T15:11:27Z","snapshot_observed_at":"2026-08-16T02:22:57.820407Z","submitted_at":"2019-08-12T15:11:27Z","title":"Minimal graphs with disjoint dominating and paired-dominating sets","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T13:59:10.838205Z"},"links":{"citing_paper":"/paper/1908.04189"},"observation_digest":"sha256:dd08788a9af631b3381654cc758b1e10cae9a5df1a47b0f24c4ca31b1eac017c","observation_id":"faf00a5c-3798-4a32-80cd-8fd329f63f26","resolution":{"observed_at":"2026-08-14T13:59:11.219030Z","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":"2026-08-14T13:59:11.205004Z","title":"Chartrand, L","venue":null,"work_id":"3950a520-efc4-4110-bc4f-a95fed496ea6","year":2016},"citing_paper":{"arxiv_id":"1908.04189","last_updated":"2019-08-12T15:11:27Z","snapshot_observed_at":"2026-08-16T02:22:57.820407Z","submitted_at":"2019-08-12T15:11:27Z","title":"Minimal graphs with disjoint dominating and paired-dominating sets","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T13:59:10.841999Z"},"links":{"citing_paper":"/paper/1908.04189"},"observation_digest":"sha256:cc9b9a937e83d053742bdb2b0d5fbb31fb6a6bc83e336013530f71a38ba17ee7","observation_id":"a27f9cd1-7800-4d58-900d-1bf084631fdf","resolution":{"observed_at":"2026-08-14T13:59:11.208851Z","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":"2026-08-14T13:59:11.193513Z","title":"Delgado, W.J","venue":null,"work_id":"78329737-16e7-4f8a-a7bc-074b0c971572","year":2016},"citing_paper":{"arxiv_id":"1908.04189","last_updated":"2019-08-12T15:11:27Z","snapshot_observed_at":"2026-08-16T02:22:57.820407Z","submitted_at":"2019-08-12T15:11:27Z","title":"Minimal graphs with disjoint dominating and paired-dominating sets","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T13:59:10.845845Z"},"links":{"citing_paper":"/paper/1908.04189"},"observation_digest":"sha256:a78c8ccbd6295bb73c777ccecf6b71d3a75f78a6b607c94626a103db91c62f2a","observation_id":"70b17283-a913-4d80-9e2d-78244850e7e7","resolution":{"observed_at":"2026-08-14T13:59:11.197392Z","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":"2026-08-14T13:59:11.182969Z","title":"Desormeaux, T.W","venue":null,"work_id":"20b210a7-2182-42a1-a9c9-deecfd05aebb","year":2017},"citing_paper":{"arxiv_id":"1908.04189","last_updated":"2019-08-12T15:11:27Z","snapshot_observed_at":"2026-08-16T02:22:57.820407Z","submitted_at":"2019-08-12T15:11:27Z","title":"Minimal graphs with disjoint dominating and paired-dominating sets","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T13:59:10.850095Z"},"links":{"citing_paper":"/paper/1908.04189"},"observation_digest":"sha256:24291052bb97e0f80916821eb6c1d7b52abe112110df3b151aec2a18742403d8","observation_id":"10929f85-bc5b-4a4a-bf68-3b0a381695cc","resolution":{"observed_at":"2026-08-14T13:59:11.186691Z","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":"2026-08-14T13:59:11.171300Z","title":"Dorﬂing, W","venue":null,"work_id":"9029c08e-fdb5-45fe-b544-2d2f9cb3cc12","year":2005},"citing_paper":{"arxiv_id":"1908.04189","last_updated":"2019-08-12T15:11:27Z","snapshot_observed_at":"2026-08-16T02:22:57.820407Z","submitted_at":"2019-08-12T15:11:27Z","title":"Minimal graphs with disjoint dominating and paired-dominating sets","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T13:59:10.854809Z"},"links":{"citing_paper":"/paper/1908.04189"},"observation_digest":"sha256:4a908e3da7b93d8e6b76b47634235b23a9941b76e30fcaa5b9fd6c18f0901b4c","observation_id":"6f35a798-9f74-4988-8bad-67ae20f0a0ca","resolution":{"observed_at":"2026-08-14T13:59:11.175167Z","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":"2026-08-14T13:59:11.161609Z","title":"Haynes, M.A","venue":null,"work_id":"29789d60-1b03-4013-ae98-6148000caad8","year":2005},"citing_paper":{"arxiv_id":"1908.04189","last_updated":"2019-08-12T15:11:27Z","snapshot_observed_at":"2026-08-16T02:22:57.820407Z","submitted_at":"2019-08-12T15:11:27Z","title":"Minimal graphs with disjoint dominating and paired-dominating sets","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T13:59:10.859044Z"},"links":{"citing_paper":"/paper/1908.04189"},"observation_digest":"sha256:c745b0e4145ab4dbdb5ee9d300bdab71f748959d4685a63401b6ce2b8059d25f","observation_id":"70edddd2-54da-48e8-960b-d3bbce152943","resolution":{"observed_at":"2026-08-14T13:59:11.164945Z","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":"2026-08-14T13:59:11.150912Z","title":"Hedetniemi, S.T","venue":null,"work_id":"18d1e37d-4f70-4efc-8180-f7675b57da90","year":2008},"citing_paper":{"arxiv_id":"1908.04189","last_updated":"2019-08-12T15:11:27Z","snapshot_observed_at":"2026-08-16T02:22:57.820407Z","submitted_at":"2019-08-12T15:11:27Z","title":"Minimal graphs with disjoint dominating and paired-dominating sets","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T13:59:10.862498Z"},"links":{"citing_paper":"/paper/1908.04189"},"observation_digest":"sha256:4615302ba0c5f944892e535db6b3c9ed0121271aa100ac529ad8e2017147023d","observation_id":"841b0de4-6892-4891-9ee5-8406d248b1a6","resolution":{"observed_at":"2026-08-14T13:59:11.154473Z","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":"2026-08-14T13:59:11.141103Z","title":"Heggernes, J.A","venue":null,"work_id":"2e729022-39a2-4acd-91b3-017b8e0d5cb2","year":1988},"citing_paper":{"arxiv_id":"1908.04189","last_updated":"2019-08-12T15:11:27Z","snapshot_observed_at":"2026-08-16T02:22:57.820407Z","submitted_at":"2019-08-12T15:11:27Z","title":"Minimal graphs with disjoint dominating and paired-dominating sets","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T13:59:10.866273Z"},"links":{"citing_paper":"/paper/1908.04189"},"observation_digest":"sha256:90288913661b8cd65cf28743486b4d54f861c9ddf70368c30c752b975b887aba","observation_id":"26605ede-9d3d-44c4-8d37-8215ed0b51d6","resolution":{"observed_at":"2026-08-14T13:59:11.144682Z","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":"2026-08-14T13:59:11.131511Z","title":"Henning, Ch","venue":null,"work_id":"75ec8e09-96d1-4ee0-ad88-5cd7b72470f0","year":2009},"citing_paper":{"arxiv_id":"1908.04189","last_updated":"2019-08-12T15:11:27Z","snapshot_observed_at":"2026-08-16T02:22:57.820407Z","submitted_at":"2019-08-12T15:11:27Z","title":"Minimal graphs with disjoint dominating and paired-dominating sets","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T13:59:10.869751Z"},"links":{"citing_paper":"/paper/1908.04189"},"observation_digest":"sha256:06a83ca6fd39d0cb9b108a3c71b95daf549efb4227a98e06f548a8f881e4ac6e","observation_id":"ff665eaa-2244-4bd0-bbc3-767abbba32c0","resolution":{"observed_at":"2026-08-14T13:59:11.134908Z","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":"2026-08-14T13:59:11.120518Z","title":"Henning, C","venue":null,"work_id":"583a551e-0c86-40cd-adcf-ce1175d29c90","year":2010},"citing_paper":{"arxiv_id":"1908.04189","last_updated":"2019-08-12T15:11:27Z","snapshot_observed_at":"2026-08-16T02:22:57.820407Z","submitted_at":"2019-08-12T15:11:27Z","title":"Minimal graphs with disjoint dominating and paired-dominating sets","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T13:59:10.873508Z"},"links":{"citing_paper":"/paper/1908.04189"},"observation_digest":"sha256:07f4cc535f0cb7b877810379c08a9ea9fa8ecf67612c9b7fff23c77726104b86","observation_id":"e30ecb4f-65fd-4191-ab82-6784cb38b6b6","resolution":{"observed_at":"2026-08-14T13:59:11.124412Z","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":"2026-08-14T13:59:11.110100Z","title":"Henning, C","venue":null,"work_id":"0994b235-ec9f-471d-aeaa-66c9e3f72b5b","year":2010},"citing_paper":{"arxiv_id":"1908.04189","last_updated":"2019-08-12T15:11:27Z","snapshot_observed_at":"2026-08-16T02:22:57.820407Z","submitted_at":"2019-08-12T15:11:27Z","title":"Minimal graphs with disjoint dominating and paired-dominating sets","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T13:59:10.876903Z"},"links":{"citing_paper":"/paper/1908.04189"},"observation_digest":"sha256:845f8605b9a3aa1b39739c8ac51d524507f25862f9e90c93ed7ddba28bc5b8d3","observation_id":"2d0d1d53-6881-4adc-a815-73863afb2fb1","resolution":{"observed_at":"2026-08-14T13:59:11.113684Z","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":"2026-08-14T13:59:11.099906Z","title":"Henning, C","venue":null,"work_id":"f7f2aeda-00ea-44b8-ae64-b65685c7f0b6","year":2010},"citing_paper":{"arxiv_id":"1908.04189","last_updated":"2019-08-12T15:11:27Z","snapshot_observed_at":"2026-08-16T02:22:57.820407Z","submitted_at":"2019-08-12T15:11:27Z","title":"Minimal graphs with disjoint dominating and paired-dominating sets","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T13:59:10.880301Z"},"links":{"citing_paper":"/paper/1908.04189"},"observation_digest":"sha256:215da0c023107ced850b1e040663009ca40fb7e18955f96c49bdf4c768420163","observation_id":"5098ae3c-bc8c-4eee-bcf7-c095b897d069","resolution":{"observed_at":"2026-08-14T13:59:11.103613Z","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":"2026-08-14T13:59:11.090193Z","title":"Henning, A.J","venue":null,"work_id":"41943a6e-3357-4bcf-a451-6dab7755105f","year":2018},"citing_paper":{"arxiv_id":"1908.04189","last_updated":"2019-08-12T15:11:27Z","snapshot_observed_at":"2026-08-16T02:22:57.820407Z","submitted_at":"2019-08-12T15:11:27Z","title":"Minimal graphs with disjoint dominating and paired-dominating sets","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T13:59:10.883612Z"},"links":{"citing_paper":"/paper/1908.04189"},"observation_digest":"sha256:b8e0e7bb1181905b2cefdbafb1edef41cfd30be5f9f1f9bae312440c92c3ad1f","observation_id":"2581e28d-1698-4cd6-af76-e6c8b3ce57af","resolution":{"observed_at":"2026-08-14T13:59:11.093765Z","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":"2026-08-14T13:59:11.079418Z","title":null,"venue":null,"work_id":"1d4b2df9-6902-466f-8f3d-fc7d65fb4d7f","year":2013},"citing_paper":{"arxiv_id":"1908.04189","last_updated":"2019-08-12T15:11:27Z","snapshot_observed_at":"2026-08-16T02:22:57.820407Z","submitted_at":"2019-08-12T15:11:27Z","title":"Minimal graphs with disjoint dominating and paired-dominating sets","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T13:59:10.886965Z"},"links":{"citing_paper":"/paper/1908.04189"},"observation_digest":"sha256:75894a3b55226fdc508dcd220a572aae6232f6efecd43b396ec373c582e7b3dc","observation_id":"4d8446c7-f6fd-4afd-a3fa-9a359f10ad9c","resolution":{"observed_at":"2026-08-14T13:59:11.083780Z","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":"2026-08-14T13:59:11.068693Z","title":"Henning, J","venue":null,"work_id":"a2a4baf5-08bb-4819-ba84-2ac0bfc05c90","year":2008},"citing_paper":{"arxiv_id":"1908.04189","last_updated":"2019-08-12T15:11:27Z","snapshot_observed_at":"2026-08-16T02:22:57.820407Z","submitted_at":"2019-08-12T15:11:27Z","title":"Minimal graphs with disjoint dominating and paired-dominating sets","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T13:59:10.890446Z"},"links":{"citing_paper":"/paper/1908.04189"},"observation_digest":"sha256:9c414fe9d70a02dea0767bf9bcc12aaba5f395a002d97db5ec9e9af7b1b5004d","observation_id":"9b0ec30c-494b-4ca4-8e43-84aad453f3e5","resolution":{"observed_at":"2026-08-14T13:59:11.072256Z","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":"2026-08-14T13:59:11.058325Z","title":"Henning, J","venue":null,"work_id":"e93597c1-72dd-4788-90c4-59b84e159f79","year":2009},"citing_paper":{"arxiv_id":"1908.04189","last_updated":"2019-08-12T15:11:27Z","snapshot_observed_at":"2026-08-16T02:22:57.820407Z","submitted_at":"2019-08-12T15:11:27Z","title":"Minimal graphs with disjoint dominating and paired-dominating sets","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T13:59:10.893729Z"},"links":{"citing_paper":"/paper/1908.04189"},"observation_digest":"sha256:d671cf9c50d5e461d6d24474ed00e4854246c90dd8fb013558103ce243690017","observation_id":"a0f35636-e3df-4509-b14c-13aae02f24b4","resolution":{"observed_at":"2026-08-14T13:59:11.062073Z","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":"2026-08-14T13:59:11.046976Z","title":"Henning, A","venue":null,"work_id":"1e09edd6-1bc1-4f6b-b9c6-6225f68a12f6","year":2013},"citing_paper":{"arxiv_id":"1908.04189","last_updated":"2019-08-12T15:11:27Z","snapshot_observed_at":"2026-08-16T02:22:57.820407Z","submitted_at":"2019-08-12T15:11:27Z","title":"Minimal graphs with disjoint dominating and paired-dominating sets","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T13:59:10.897006Z"},"links":{"citing_paper":"/paper/1908.04189"},"observation_digest":"sha256:a86d77cc4a6711a573b6f2c88e8cb4a1b5a904065945b6af9ece373ad7c413f6","observation_id":"3ed07c9c-0a76-4c13-8b0a-0b8ce3c6480c","resolution":{"observed_at":"2026-08-14T13:59:11.050992Z","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":"2026-08-14T13:59:11.035938Z","title":"Kiunisala, F.P","venue":null,"work_id":"1d2c337d-7e6b-4c99-8b13-a8cd811e68b1","year":2016},"citing_paper":{"arxiv_id":"1908.04189","last_updated":"2019-08-12T15:11:27Z","snapshot_observed_at":"2026-08-16T02:22:57.820407Z","submitted_at":"2019-08-12T15:11:27Z","title":"Minimal graphs with disjoint dominating and paired-dominating sets","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T13:59:10.900684Z"},"links":{"citing_paper":"/paper/1908.04189"},"observation_digest":"sha256:16f9c53dd04529c982e2df167a7afc15aa440380e3d5d995628c58e1685f630a","observation_id":"c9dbdee5-366e-4b6f-be83-c23b163d2953","resolution":{"observed_at":"2026-08-14T13:59:11.039519Z","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":"2026-08-14T13:59:11.025744Z","title":"Kulli, S.C","venue":null,"work_id":"156f38f3-0484-45ff-a6e0-4ed0375b07b1","year":1991},"citing_paper":{"arxiv_id":"1908.04189","last_updated":"2019-08-12T15:11:27Z","snapshot_observed_at":"2026-08-16T02:22:57.820407Z","submitted_at":"2019-08-12T15:11:27Z","title":"Minimal graphs with disjoint dominating and paired-dominating sets","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T13:59:10.904031Z"},"links":{"citing_paper":"/paper/1908.04189"},"observation_digest":"sha256:84fcc7343493b4ef8fdce3702fbca69536a54380e026310c74a029305afcf22a","observation_id":"8e66b34d-ba06-43d8-b72b-f97050ce13b8","resolution":{"observed_at":"2026-08-14T13:59:11.029366Z","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":"2026-08-14T13:59:11.013288Z","title":"Lowenstein, D","venue":null,"work_id":"aebe2103-c56a-4a0d-ade9-563572323257","year":2010},"citing_paper":{"arxiv_id":"1908.04189","last_updated":"2019-08-12T15:11:27Z","snapshot_observed_at":"2026-08-16T02:22:57.820407Z","submitted_at":"2019-08-12T15:11:27Z","title":"Minimal graphs with disjoint dominating and paired-dominating sets","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T13:59:10.907659Z"},"links":{"citing_paper":"/paper/1908.04189"},"observation_digest":"sha256:001d8f98dafd55cf2fc8cc7235ef6cfc19725333f5fdd8908bf51288a3eaef32","observation_id":"69e53ccd-3c22-4bf8-a27b-32df7bdf3e64","resolution":{"observed_at":"2026-08-14T13:59:11.018015Z","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":"1903.06129","last_updated":"2019-03-14T17:03:26Z","snapshot_observed_at":"2026-08-14T17:02:11.338983Z","submitted_at":"2019-03-14T17:03:26Z","title":"Disjoint dominating and 2-dominating sets in graphs","version":1},"cited_work":{"arxiv_id":"1903.06129","doi":null,"metadata_source":"pith","pith_arxiv_id":"1903.06129","snapshot_observed_at":"2026-08-14T13:59:10.954899Z","title":"Disjoint dominating and 2-dominating sets in graphs","venue":"math.CO","work_id":"a6f60d11-1a3f-47e2-bb71-532b8722c1e7","year":2019},"citing_paper":{"arxiv_id":"1908.04189","last_updated":"2019-08-12T15:11:27Z","snapshot_observed_at":"2026-08-16T02:22:57.820407Z","submitted_at":"2019-08-12T15:11:27Z","title":"Minimal graphs with disjoint dominating and paired-dominating sets","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T13:59:10.911041Z"},"links":{"cited_paper":"/paper/1903.06129","citing_paper":"/paper/1908.04189"},"observation_digest":"sha256:eddcc4933c77bb34b9f98dd8ece3b7afa33e393719f04eafc44c9bb6be0070ca","observation_id":"7514237c-19d6-4d50-8854-fd9d203adaac","resolution":{"observed_at":"2026-08-14T13:59:10.961306Z","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":"2026-08-14T13:59:11.002361Z","title":"Ore, Theory of Graphs , Amer","venue":null,"work_id":"1a70188f-db68-48bd-bec7-25f3a0c12497","year":1962},"citing_paper":{"arxiv_id":"1908.04189","last_updated":"2019-08-12T15:11:27Z","snapshot_observed_at":"2026-08-16T02:22:57.820407Z","submitted_at":"2019-08-12T15:11:27Z","title":"Minimal graphs with disjoint dominating and paired-dominating sets","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T13:59:10.914603Z"},"links":{"citing_paper":"/paper/1908.04189"},"observation_digest":"sha256:51265b52fdf05bfe1ce0ff14b0ed6c194e6cce59d16c8bb176d6b76921437f39","observation_id":"395b6d74-ec7a-4f69-8649-edb900dddb89","resolution":{"observed_at":"2026-08-14T13:59:11.006031Z","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":"2026-08-14T13:59:10.990756Z","title":"Southey, M.A","venue":null,"work_id":"4c4582e9-eb32-40aa-9845-d1d9e03010d0","year":2010},"citing_paper":{"arxiv_id":"1908.04189","last_updated":"2019-08-12T15:11:27Z","snapshot_observed_at":"2026-08-16T02:22:57.820407Z","submitted_at":"2019-08-12T15:11:27Z","title":"Minimal graphs with disjoint dominating and paired-dominating sets","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T13:59:10.918217Z"},"links":{"citing_paper":"/paper/1908.04189"},"observation_digest":"sha256:f640aeb4f5914d1fb867d21a5e9b7962c5ea2b2bdcc808a279ffb8d284ab7ee7","observation_id":"3b0f0c93-9e42-427a-b634-5a08031c0eaa","resolution":{"observed_at":"2026-08-14T13:59:10.994506Z","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":"2026-08-14T13:59:10.979303Z","title":"Southey, M.A","venue":null,"work_id":"19fc74bb-a169-4983-9d13-ad6cf6d7170c","year":2011},"citing_paper":{"arxiv_id":"1908.04189","last_updated":"2019-08-12T15:11:27Z","snapshot_observed_at":"2026-08-16T02:22:57.820407Z","submitted_at":"2019-08-12T15:11:27Z","title":"Minimal graphs with disjoint dominating and paired-dominating sets","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T13:59:10.922324Z"},"links":{"citing_paper":"/paper/1908.04189"},"observation_digest":"sha256:ed4796aa7fac49fba54bf43ca9d66ca440045891c69fec2d5b510a47fe935e55","observation_id":"bfe01bc7-2060-469b-88e6-2a36e588224d","resolution":{"observed_at":"2026-08-14T13:59:10.982829Z","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":"2026-08-14T13:59:10.968919Z","title":"Southey, M.A","venue":null,"work_id":"eb51172f-9b72-44c5-a67b-0e87a6d3c89c","year":2011},"citing_paper":{"arxiv_id":"1908.04189","last_updated":"2019-08-12T15:11:27Z","snapshot_observed_at":"2026-08-16T02:22:57.820407Z","submitted_at":"2019-08-12T15:11:27Z","title":"Minimal graphs with disjoint dominating and paired-dominating sets","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T13:59:10.925756Z"},"links":{"citing_paper":"/paper/1908.04189"},"observation_digest":"sha256:e408c05aca644a867b4e8533338fdc3cfb6e840d7df570bf78889f53dcd37507","observation_id":"62a9616d-3bcd-47d0-9303-278711bba479","resolution":{"observed_at":"2026-08-14T13:59:10.972543Z","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":"1908.04189","last_updated":"2019-08-12T15:11:27Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-16T02:22:57.820407Z","submitted_at":"2019-08-12T15:11:27Z","title":"Minimal graphs with disjoint dominating and paired-dominating sets"},"reference_resolution":{"displayed":26,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":1,"verified_fuzzy":24},"total_outbound_references":26},"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 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:1908.04189."}