{"as_of":"2026-08-16T16:36:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:6b3a9fa7e1f3308ae1ae63208201c10a0f228fc79bf62b1b1b467604e41424cd","coverage":[{"denominator":28,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":28,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T13:06:05.647029Z","state":"measured"},{"denominator":28,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":28,"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/1908.06057/citation-record","integrity":"/paper/1908.06057/integrity","json":"/paper/1908.06057/citation-record.json","paper":"/paper/1908.06057"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:06:05.961665Z","title":"Barab ´asi et al","venue":null,"work_id":"5328b51f-4e18-4554-8aa0-34f1f0bb5594","year":2016},"citing_paper":{"arxiv_id":"1908.06057","last_updated":"2019-08-16T16:54:30Z","snapshot_observed_at":"2026-08-16T10:56:00.481908Z","submitted_at":"2019-08-16T16:54:30Z","title":"Generalized group-based epidemic model for spreading processes on networks: GgroupEM","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T13:06:05.553336Z"},"links":{"citing_paper":"/paper/1908.06057"},"observation_digest":"sha256:0a47037e9b7a18b059a7f27cef31428ff9069c3d8582a23ea42f0dbfb731ac96","observation_id":"a8198f8b-e811-42bf-8a03-8bf7d3c894ca","resolution":{"observed_at":"2026-08-14T13:06:05.965326Z","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":"2026-08-14T13:06:05.951366Z","title":"Modelling dynamical processes in complex socio- technical systems,","venue":null,"work_id":"fe6ed7a6-be50-4633-9000-360c2e6b8072","year":2012},"citing_paper":{"arxiv_id":"1908.06057","last_updated":"2019-08-16T16:54:30Z","snapshot_observed_at":"2026-08-16T10:56:00.481908Z","submitted_at":"2019-08-16T16:54:30Z","title":"Generalized group-based epidemic model for spreading processes on networks: GgroupEM","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T13:06:05.557642Z"},"links":{"citing_paper":"/paper/1908.06057"},"observation_digest":"sha256:aea05bc32f29fd62297c71c44c6fbd8c4dc8558a32905e93cbdc8fc7758ff563","observation_id":"7ef215a0-3494-4b66-b4b6-bdb13a68608d","resolution":{"observed_at":"2026-08-14T13:06:05.955129Z","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":"2026-08-14T13:06:05.939900Z","title":"Epidemic processes in complex networks,","venue":null,"work_id":"38adb008-62ad-43ec-a9a6-aaa1d4efe682","year":2015},"citing_paper":{"arxiv_id":"1908.06057","last_updated":"2019-08-16T16:54:30Z","snapshot_observed_at":"2026-08-16T10:56:00.481908Z","submitted_at":"2019-08-16T16:54:30Z","title":"Generalized group-based epidemic model for spreading processes on networks: GgroupEM","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T13:06:05.561359Z"},"links":{"citing_paper":"/paper/1908.06057"},"observation_digest":"sha256:932953dcf1de8fe0f993fa0472115a4f856efb4761a784f9482d145689b63670","observation_id":"f06a14b9-32d8-49bf-ae4b-48cee8f3a25c","resolution":{"observed_at":"2026-08-14T13:06:05.943685Z","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":"2026-08-14T13:06:05.928922Z","title":"Estimation of swine movement network at farm level in the us from the census of agriculture data,","venue":null,"work_id":"d275520f-6140-47bc-ac5c-fe566812b860","year":2019},"citing_paper":{"arxiv_id":"1908.06057","last_updated":"2019-08-16T16:54:30Z","snapshot_observed_at":"2026-08-16T10:56:00.481908Z","submitted_at":"2019-08-16T16:54:30Z","title":"Generalized group-based epidemic model for spreading processes on networks: GgroupEM","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T13:06:05.565113Z"},"links":{"citing_paper":"/paper/1908.06057"},"observation_digest":"sha256:a37acc35d593d1bdf2679c9373bf44f6513429f515bc4b428549b6119626bc8f","observation_id":"b98d3f9c-b5fa-447a-8b4c-ee3967b38284","resolution":{"observed_at":"2026-08-14T13:06:05.932650Z","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":"2026-08-14T13:06:05.917968Z","title":"Understanding the survival of zika virus in a vector interconnected sexual contact network,","venue":null,"work_id":"f7663e33-a83d-473b-b6bf-925d6613c0b4","year":2019},"citing_paper":{"arxiv_id":"1908.06057","last_updated":"2019-08-16T16:54:30Z","snapshot_observed_at":"2026-08-16T10:56:00.481908Z","submitted_at":"2019-08-16T16:54:30Z","title":"Generalized group-based epidemic model for spreading processes on networks: GgroupEM","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T13:06:05.568833Z"},"links":{"citing_paper":"/paper/1908.06057"},"observation_digest":"sha256:7cab1dd269c56879087bbb838b065a8036332ff7c3f1bdbb6311aa63dd118e10","observation_id":"06c2939e-c260-431e-be28-ab62de6999f7","resolution":{"observed_at":"2026-08-14T13:06:05.921887Z","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":"2026-08-14T13:06:05.907013Z","title":"Barrat, M","venue":null,"work_id":"6adeac16-790c-4a33-b7f0-4c10acc1c0b8","year":2008},"citing_paper":{"arxiv_id":"1908.06057","last_updated":"2019-08-16T16:54:30Z","snapshot_observed_at":"2026-08-16T10:56:00.481908Z","submitted_at":"2019-08-16T16:54:30Z","title":"Generalized group-based epidemic model for spreading processes on networks: GgroupEM","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T13:06:05.572700Z"},"links":{"citing_paper":"/paper/1908.06057"},"observation_digest":"sha256:648546219c084e7870c294479b7484bfc013b61785cd327e99fe4537ad1a7bb7","observation_id":"cc0f7f67-2655-4b38-a8f2-7b04d8d6fc83","resolution":{"observed_at":"2026-08-14T13:06:05.910941Z","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":"2026-08-14T13:06:05.895246Z","title":"Generalized epidemic mean-field model for spreading processes over multilayer complex networks,","venue":null,"work_id":"26d648f8-f5be-4ffe-9a70-b21bc0e7a6ed","year":2013},"citing_paper":{"arxiv_id":"1908.06057","last_updated":"2019-08-16T16:54:30Z","snapshot_observed_at":"2026-08-16T10:56:00.481908Z","submitted_at":"2019-08-16T16:54:30Z","title":"Generalized group-based epidemic model for spreading processes on networks: GgroupEM","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T13:06:05.576439Z"},"links":{"citing_paper":"/paper/1908.06057"},"observation_digest":"sha256:f393c959b246a65f50e3788739c620e29ce5fadcd7031366973c6f889c4994ad","observation_id":"b6970e8a-ecdb-4a37-b309-3b560264e5c4","resolution":{"observed_at":"2026-08-14T13:06:05.899450Z","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":"2026-08-14T13:06:05.882821Z","title":"Decay of interspecific avian flock networks along a disturbance gradient in amazonia,","venue":null,"work_id":"f6dbcd5c-9449-4171-89e6-703bba422b78","year":2014},"citing_paper":{"arxiv_id":"1908.06057","last_updated":"2019-08-16T16:54:30Z","snapshot_observed_at":"2026-08-16T10:56:00.481908Z","submitted_at":"2019-08-16T16:54:30Z","title":"Generalized group-based epidemic model for spreading processes on networks: GgroupEM","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T13:06:05.579903Z"},"links":{"citing_paper":"/paper/1908.06057"},"observation_digest":"sha256:9c5b06267ade33f7b7cb7566f333ba951f97880d50c1da82cbe705174a1b52b1","observation_id":"8480ad7b-a040-4b81-944e-258705fda93f","resolution":{"observed_at":"2026-08-14T13:06:05.887339Z","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":"2026-08-14T13:06:05.871877Z","title":"Using contact networks to explore mechanisms of parasite transmission in wildlife,","venue":null,"work_id":"0cd61eed-705b-4a92-a52b-67898d3304be","year":2017},"citing_paper":{"arxiv_id":"1908.06057","last_updated":"2019-08-16T16:54:30Z","snapshot_observed_at":"2026-08-16T10:56:00.481908Z","submitted_at":"2019-08-16T16:54:30Z","title":"Generalized group-based epidemic model for spreading processes on networks: GgroupEM","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T13:06:05.583348Z"},"links":{"citing_paper":"/paper/1908.06057"},"observation_digest":"sha256:acab6ef1a188f13562915a6be0b22b16a38db86b4a33ae17578cf253a1b2dce4","observation_id":"6cc6abe2-afd2-4b75-9155-4c157143bacc","resolution":{"observed_at":"2026-08-14T13:06:05.875704Z","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":"2026-08-14T13:06:05.860796Z","title":"A spatio-temporal individual-based network framework for west nile virus in the usa: spreading pattern of west nile virus,","venue":null,"work_id":"0dd2ea40-bb1c-417e-a66a-4892c0a4227e","year":2019},"citing_paper":{"arxiv_id":"1908.06057","last_updated":"2019-08-16T16:54:30Z","snapshot_observed_at":"2026-08-16T10:56:00.481908Z","submitted_at":"2019-08-16T16:54:30Z","title":"Generalized group-based epidemic model for spreading processes on networks: GgroupEM","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T13:06:05.586569Z"},"links":{"citing_paper":"/paper/1908.06057"},"observation_digest":"sha256:d3ae9f9d5aaf75c869bc13eeb634ae0bfeb987dea7a5ffcc53f2376f04211f4e","observation_id":"7029a898-d963-4c27-8583-a9c0399fd9b9","resolution":{"observed_at":"2026-08-14T13:06:05.864550Z","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":"2026-08-14T13:06:05.849983Z","title":"Epi- demic thresholds in real networks,","venue":null,"work_id":"dbf15bc1-9e32-46bb-bb8f-d322e866e6b7","year":2008},"citing_paper":{"arxiv_id":"1908.06057","last_updated":"2019-08-16T16:54:30Z","snapshot_observed_at":"2026-08-16T10:56:00.481908Z","submitted_at":"2019-08-16T16:54:30Z","title":"Generalized group-based epidemic model for spreading processes on networks: GgroupEM","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T13:06:05.589935Z"},"links":{"citing_paper":"/paper/1908.06057"},"observation_digest":"sha256:a85f8256b8082428d3579c262c6e128a253816f368b7d8d69c3c5e44582cf8d8","observation_id":"db0323eb-3ec4-4633-8f57-e30187b22c37","resolution":{"observed_at":"2026-08-14T13:06:05.853683Z","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":"2026-08-14T13:06:05.839765Z","title":"Virus spread in networks,","venue":null,"work_id":"668592e4-1c2e-4f23-bbc8-44b6ae7e6ffa","year":2009},"citing_paper":{"arxiv_id":"1908.06057","last_updated":"2019-08-16T16:54:30Z","snapshot_observed_at":"2026-08-16T10:56:00.481908Z","submitted_at":"2019-08-16T16:54:30Z","title":"Generalized group-based epidemic model for spreading processes on networks: GgroupEM","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T13:06:05.593425Z"},"links":{"citing_paper":"/paper/1908.06057"},"observation_digest":"sha256:2b56cc8389a699cc39452373b44bbf336705d2ca84cca1290e6c7d41493f403e","observation_id":"cebb22e5-2cea-4e9f-9253-13a237d224e9","resolution":{"observed_at":"2026-08-14T13:06:05.843334Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:06:05.596553Z","title":"Epidemic spreading in scale-free networks,","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"1908.06057","last_updated":"2019-08-16T16:54:30Z","snapshot_observed_at":"2026-08-16T10:56:00.481908Z","submitted_at":"2019-08-16T16:54:30Z","title":"Generalized group-based epidemic model for spreading processes on networks: GgroupEM","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T13:06:05.596553Z"},"links":{"citing_paper":"/paper/1908.06057"},"observation_digest":"sha256:4638f6c682653cbf05d6e2775991b92254289ee5c188487e9bb5539eefc84c2a","observation_id":"e7621c5f-baaa-47ba-bd4c-2673d1bb0548","resolution":{"observed_at":"2026-08-14T13:06:05.596553Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:06:05.822359Z","title":"Epidemic spreading in correlated complex networks,","venue":null,"work_id":"1f3b9a37-0060-4419-af72-3fccd27bfe3d","year":2002},"citing_paper":{"arxiv_id":"1908.06057","last_updated":"2019-08-16T16:54:30Z","snapshot_observed_at":"2026-08-16T10:56:00.481908Z","submitted_at":"2019-08-16T16:54:30Z","title":"Generalized group-based epidemic model for spreading processes on networks: GgroupEM","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T13:06:05.600121Z"},"links":{"citing_paper":"/paper/1908.06057"},"observation_digest":"sha256:694cb3fd2ce228d282ffdd4256e449bbcf941b5d82598dbd08c1834bb4b2bafb","observation_id":"cf186d0f-a934-4de2-a674-b93bbb1de3eb","resolution":{"observed_at":"2026-08-14T13:06:05.826104Z","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":"2026-08-14T13:06:05.811791Z","title":"Unified mean-field framework for susceptible-infected-susceptible epidemics on networks, based on graph partitioning and the isoperimetric inequality,","venue":null,"work_id":"dcaff8b4-3f21-4cf6-9561-9738bb139b6c","year":2017},"citing_paper":{"arxiv_id":"1908.06057","last_updated":"2019-08-16T16:54:30Z","snapshot_observed_at":"2026-08-16T10:56:00.481908Z","submitted_at":"2019-08-16T16:54:30Z","title":"Generalized group-based epidemic model for spreading processes on networks: GgroupEM","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T13:06:05.603297Z"},"links":{"citing_paper":"/paper/1908.06057"},"observation_digest":"sha256:8fd3147e10db157a0e3944f4c864a51b9b3e55ff751721f3fe4eee58b58c3f0f","observation_id":"21cb7539-f118-463d-9daa-f223ac438a1f","resolution":{"observed_at":"2026-08-14T13:06:05.815633Z","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":"2026-08-14T13:06:05.800710Z","title":null,"venue":null,"work_id":"bdbc42c6-bd8f-4eee-8f7c-8e082e0e713d","year":2011},"citing_paper":{"arxiv_id":"1908.06057","last_updated":"2019-08-16T16:54:30Z","snapshot_observed_at":"2026-08-16T10:56:00.481908Z","submitted_at":"2019-08-16T16:54:30Z","title":"Generalized group-based epidemic model for spreading processes on networks: GgroupEM","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T13:06:05.606552Z"},"links":{"citing_paper":"/paper/1908.06057"},"observation_digest":"sha256:104d9b87dd8b8b103d6d3c3bb21fed35a295e5ed3a6233b80f28e73e52be66bf","observation_id":"9ba16423-6d38-4552-9670-82b1b18d6ba4","resolution":{"observed_at":"2026-08-14T13:06:05.804445Z","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":"2026-08-14T13:06:05.789901Z","title":"Stochastic processes in chemistry and physics,","venue":null,"work_id":"f47f05f1-917e-41bc-af67-0614e0f3b0c0","year":1981},"citing_paper":{"arxiv_id":"1908.06057","last_updated":"2019-08-16T16:54:30Z","snapshot_observed_at":"2026-08-16T10:56:00.481908Z","submitted_at":"2019-08-16T16:54:30Z","title":"Generalized group-based epidemic model for spreading processes on networks: GgroupEM","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T13:06:05.609906Z"},"links":{"citing_paper":"/paper/1908.06057"},"observation_digest":"sha256:ce96a94a50906e8c129b5542bf89c42640c8aed8d1cd5ae6bdc25f3a4585bd56","observation_id":"602f9371-3eb9-43f4-9f7f-433eea1b1d46","resolution":{"observed_at":"2026-08-14T13:06:05.793579Z","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":"2026-08-14T13:06:05.777854Z","title":"Feller, An introduction to probability theory and its applications","venue":null,"work_id":"e736b47b-f37c-4361-a1a0-bcedb7999c45","year":2008},"citing_paper":{"arxiv_id":"1908.06057","last_updated":"2019-08-16T16:54:30Z","snapshot_observed_at":"2026-08-16T10:56:00.481908Z","submitted_at":"2019-08-16T16:54:30Z","title":"Generalized group-based epidemic model for spreading processes on networks: GgroupEM","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T13:06:05.613124Z"},"links":{"citing_paper":"/paper/1908.06057"},"observation_digest":"sha256:89d0e2dd82318a828412f28129df8022a9315b1dfe34d37b8bac3e1e4dcee520","observation_id":"c37fce41-a4b0-487d-a09c-cf859429d986","resolution":{"observed_at":"2026-08-14T13:06:05.781971Z","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":"2026-08-14T13:06:05.766902Z","title":"Discrete isoperimetric inequalities,","venue":null,"work_id":"aa1d73af-23d3-422e-a311-07dd6253064a","year":2004},"citing_paper":{"arxiv_id":"1908.06057","last_updated":"2019-08-16T16:54:30Z","snapshot_observed_at":"2026-08-16T10:56:00.481908Z","submitted_at":"2019-08-16T16:54:30Z","title":"Generalized group-based epidemic model for spreading processes on networks: GgroupEM","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T13:06:05.616230Z"},"links":{"citing_paper":"/paper/1908.06057"},"observation_digest":"sha256:dcbd8e0fc2637cdd6e218c25b9239dffe22b670ed1c9997e5737ef931683482f","observation_id":"e355a3eb-60ce-473d-950a-0698238a1fcc","resolution":{"observed_at":"2026-08-14T13:06:05.770304Z","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":"2026-08-14T13:06:05.756248Z","title":"Tighter spectral bounds for the cut size, based on laplacian eigenvectors,","venue":null,"work_id":"167ab33a-cc4c-4fc6-8560-08a732a3112c","year":2019},"citing_paper":{"arxiv_id":"1908.06057","last_updated":"2019-08-16T16:54:30Z","snapshot_observed_at":"2026-08-16T10:56:00.481908Z","submitted_at":"2019-08-16T16:54:30Z","title":"Generalized group-based epidemic model for spreading processes on networks: GgroupEM","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T13:06:05.619306Z"},"links":{"citing_paper":"/paper/1908.06057"},"observation_digest":"sha256:a7d8b62b2691930d7b0009d8709478be4cdfde244c656ff359951eb8e6998a2b","observation_id":"ad268fec-6ae9-4be6-b202-ef4e9830ce7e","resolution":{"observed_at":"2026-08-14T13:06:05.759975Z","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":"2026-08-14T13:06:05.745710Z","title":null,"venue":null,"work_id":"e5bdb848-2344-4858-af1e-6caa570df2c0","year":1996},"citing_paper":{"arxiv_id":"1908.06057","last_updated":"2019-08-16T16:54:30Z","snapshot_observed_at":"2026-08-16T10:56:00.481908Z","submitted_at":"2019-08-16T16:54:30Z","title":"Generalized group-based epidemic model for spreading processes on networks: GgroupEM","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T13:06:05.622578Z"},"links":{"citing_paper":"/paper/1908.06057"},"observation_digest":"sha256:5f1c978c9ce0841b929caf863ebd077bd7b86f1fcc5fe33c106e124df8985db1","observation_id":"b8f5296b-2350-4141-818f-ff52bb5eda50","resolution":{"observed_at":"2026-08-14T13:06:05.749614Z","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":"2026-08-14T13:06:05.734999Z","title":"Van Mieghem, Performance analysis of complex networks and sys- tems","venue":null,"work_id":"8d08d3fb-0465-47a8-89e0-5082af8a684f","year":2014},"citing_paper":{"arxiv_id":"1908.06057","last_updated":"2019-08-16T16:54:30Z","snapshot_observed_at":"2026-08-16T10:56:00.481908Z","submitted_at":"2019-08-16T16:54:30Z","title":"Generalized group-based epidemic model for spreading processes on networks: GgroupEM","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T13:06:05.626421Z"},"links":{"citing_paper":"/paper/1908.06057"},"observation_digest":"sha256:d69b0302c3402fe65ab90351c494b4da7c37f13567b8b5dbb73e354226c65b5c","observation_id":"b6a30259-0e94-4c25-b024-b421f3b7cbc4","resolution":{"observed_at":"2026-08-14T13:06:05.738960Z","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":"2026-08-14T13:06:05.723901Z","title":"On random graphs, i,","venue":null,"work_id":"2b8db430-6823-4f74-837d-ff4c5ef69738","year":1959},"citing_paper":{"arxiv_id":"1908.06057","last_updated":"2019-08-16T16:54:30Z","snapshot_observed_at":"2026-08-16T10:56:00.481908Z","submitted_at":"2019-08-16T16:54:30Z","title":"Generalized group-based epidemic model for spreading processes on networks: GgroupEM","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T13:06:05.629765Z"},"links":{"citing_paper":"/paper/1908.06057"},"observation_digest":"sha256:4f51e6875e3a7a301126163d584bd99c3dbff948ef21f7a5665ccb184fe746b3","observation_id":"9db2f357-ddf1-4b8e-993a-31039f59c32b","resolution":{"observed_at":"2026-08-14T13:06:05.727795Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:06:05.633092Z","title":"An individual-based approach to sir epidemics in contact networks,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"1908.06057","last_updated":"2019-08-16T16:54:30Z","snapshot_observed_at":"2026-08-16T10:56:00.481908Z","submitted_at":"2019-08-16T16:54:30Z","title":"Generalized group-based epidemic model for spreading processes on networks: GgroupEM","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T13:06:05.633092Z"},"links":{"citing_paper":"/paper/1908.06057"},"observation_digest":"sha256:af5e0f39444ab279da5faff93c8aa24c6b42016d5e088db6301876390ecd83cb","observation_id":"b6cae400-26ec-43d8-943b-faabb09e8a4a","resolution":{"observed_at":"2026-08-14T13:06:05.633092Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:06:05.705702Z","title":"Susceptible- infected-susceptible model: A comparison of n-intertwined and hetero- geneous mean-field approximations,","venue":null,"work_id":"3e404af3-eb01-48a8-93fe-7c217bbe746f","year":2012},"citing_paper":{"arxiv_id":"1908.06057","last_updated":"2019-08-16T16:54:30Z","snapshot_observed_at":"2026-08-16T10:56:00.481908Z","submitted_at":"2019-08-16T16:54:30Z","title":"Generalized group-based epidemic model for spreading processes on networks: GgroupEM","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T13:06:05.636463Z"},"links":{"citing_paper":"/paper/1908.06057"},"observation_digest":"sha256:54463f22d260845ffa557ad79558ab22eb4c1754beddf8edec6dca847fe7b230","observation_id":"38ccf031-707b-4f24-a7e5-b7969a0c6e8d","resolution":{"observed_at":"2026-08-14T13:06:05.709726Z","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":"2026-08-14T13:06:05.694682Z","title":"Multilayer networks,","venue":null,"work_id":"d245c10d-4c9e-4c7d-9c98-c162a7248488","year":2014},"citing_paper":{"arxiv_id":"1908.06057","last_updated":"2019-08-16T16:54:30Z","snapshot_observed_at":"2026-08-16T10:56:00.481908Z","submitted_at":"2019-08-16T16:54:30Z","title":"Generalized group-based epidemic model for spreading processes on networks: GgroupEM","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T13:06:05.639821Z"},"links":{"citing_paper":"/paper/1908.06057"},"observation_digest":"sha256:e086b0b3992a1c103e40d073ea057f25ac77ba067936f176dbc2814a52f0b4df","observation_id":"0cc2366b-cd28-412f-bde7-0d0e7267e76a","resolution":{"observed_at":"2026-08-14T13:06:05.698273Z","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":"2026-08-14T13:06:05.684556Z","title":"Layered complex networks,","venue":null,"work_id":"412b9d72-b7b7-4c7b-a3be-300bcb382034","year":2006},"citing_paper":{"arxiv_id":"1908.06057","last_updated":"2019-08-16T16:54:30Z","snapshot_observed_at":"2026-08-16T10:56:00.481908Z","submitted_at":"2019-08-16T16:54:30Z","title":"Generalized group-based epidemic model for spreading processes on networks: GgroupEM","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T13:06:05.643243Z"},"links":{"citing_paper":"/paper/1908.06057"},"observation_digest":"sha256:ba0c489d44f6836b82a04f4b2862e6fb3e6fb660e7ba8946a133980cea2ef27f","observation_id":"a19e61cd-cb9d-43f7-8a9f-2c87288657cf","resolution":{"observed_at":"2026-08-14T13:06:05.687958Z","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":"2026-08-14T13:06:05.672172Z","title":"Gemfsim: a stochastic simulator for the generalized epidemic modeling framework,","venue":null,"work_id":"deae5f43-0c43-4f0e-b3c4-bb3f28a91d9e","year":2017},"citing_paper":{"arxiv_id":"1908.06057","last_updated":"2019-08-16T16:54:30Z","snapshot_observed_at":"2026-08-16T10:56:00.481908Z","submitted_at":"2019-08-16T16:54:30Z","title":"Generalized group-based epidemic model for spreading processes on networks: GgroupEM","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T13:06:05.647029Z"},"links":{"citing_paper":"/paper/1908.06057"},"observation_digest":"sha256:65a0aaca14809ee75ccee03c89dae4ae6579b41e8b2b74015ed1941c6bef9792","observation_id":"fc267097-1003-41a8-9fb6-bcdfe28ce009","resolution":{"observed_at":"2026-08-14T13:06:05.677687Z","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":"1908.06057","last_updated":"2019-08-16T16:54:30Z","latest_version":1,"primary_category":"physics.soc-ph","snapshot_observed_at":"2026-08-16T10:56:00.481908Z","submitted_at":"2019-08-16T16:54:30Z","title":"Generalized group-based epidemic model for spreading processes on networks: GgroupEM"},"reference_resolution":{"displayed":28,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":0,"verified_fuzzy":24},"total_outbound_references":28},"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 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:1908.06057."}