{"as_of":"2026-08-09T07:21:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8b98ac4b6e4710cd8a0cfc412d8e29dd1b9b771f709e35957635b70c480622e1","coverage":[{"denominator":32,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":32,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T12:28:23.873635Z","state":"measured"},{"denominator":32,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":32,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+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/2505.24631/citation-record","integrity":"/paper/2505.24631/integrity","json":"/paper/2505.24631/citation-record.json","paper":"/paper/2505.24631"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:28:20.786784Z","title":"Error and attack tolerance of complex networks","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T12:28:20.786784Z"},"links":{"citing_paper":"/paper/2505.24631"},"observation_digest":"sha256:4e432a840263ee7d067aeaa8ceb431179a15804fbc3fab38be5161efd12b049e","observation_id":"74e57131-d5ee-479d-8e0f-72c5e8c59486","resolution":{"observed_at":"2026-08-07T12:28:20.786784Z","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":"2026-08-07T12:28:27.566468Z","title":"Athreya and Peter E","venue":null,"work_id":"3d5ba796-26d2-4207-b2aa-e090ccff2c26","year":1972},"citing_paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T12:28:20.834723Z"},"links":{"citing_paper":"/paper/2505.24631"},"observation_digest":"sha256:24a083b2d457e9d6252cb7b7452bc5bfda1fb43c137f11c7e46c14ab7a71bbf4","observation_id":"e5d87dfd-1d42-4a65-ae73-211df46ee5e2","resolution":{"observed_at":"2026-08-07T12:28:27.656310Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T12:28:27.361793Z","title":"The new chal- lenges of multiplex networks: Measures and models","venue":null,"work_id":"32f89b38-005f-48a0-a423-a352bddb1c83","year":2017},"citing_paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T12:28:20.902880Z"},"links":{"citing_paper":"/paper/2505.24631"},"observation_digest":"sha256:e1b1b599d0dbe7a128f15195f9a62f91dc8050e0abe16296411643b9aae0edf9","observation_id":"12208a78-1dc2-4242-b794-4683b65bc586","resolution":{"observed_at":"2026-08-07T12:28:27.455476Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.jfs.2018.03","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:28:26.014548Z","title":"Financial networks and stress testing: Challenges and new research avenues for systemic risk analysis and financial stability implications","venue":null,"work_id":"5d34ece5-dd64-45ab-88d8-e616df984efb","year":2018},"citing_paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T12:28:21.119994Z"},"links":{"citing_paper":"/paper/2505.24631"},"observation_digest":"sha256:dd43e0913ea2afdeb64f6fc09f7044abc30b4adb50ba1016fa3e9ff2331c90c8","observation_id":"12951929-ed31-4f2b-b630-7c6122d07360","resolution":{"observed_at":"2026-08-07T12:28:26.061723Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T12:28:21.212817Z","title":"The structure and dynamics of multilayer networks","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T12:28:21.212817Z"},"links":{"citing_paper":"/paper/2505.24631"},"observation_digest":"sha256:ceabdd22baed3b699281acc819d6fb97a8d828df0a89ab90e11078d30c440d2b","observation_id":"f24a0d2c-b3f5-40b3-b977-bdda89b57b9e","resolution":{"observed_at":"2026-08-07T12:28:21.212817Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physreve.85.045102","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:28:25.841072Z","title":"Multiplexity-facilitated cascades in networks","venue":null,"work_id":"049db29f-5d4e-43ba-9973-e77e83559306","year":2012},"citing_paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T12:28:21.288351Z"},"links":{"citing_paper":"/paper/2505.24631"},"observation_digest":"sha256:ac974cf411753fc7da1b95c48edb64a39682ef9064ebafbc1f1c680609fa693b","observation_id":"396b61a6-cb4a-413c-b8e4-10291fa694a4","resolution":{"observed_at":"2026-08-07T12:28:25.920331Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T12:28:27.206699Z","title":"The Spread of Behavior in an Online Social Network Experiment","venue":null,"work_id":"c47665e7-ab8f-405c-8d86-79ce91b94a9b","year":2010},"citing_paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T12:28:21.359374Z"},"links":{"citing_paper":"/paper/2505.24631"},"observation_digest":"sha256:d6ba81b11ae30f5350808e8e340931ce34f2f3216d20f22f7b9827b489a1aeb8","observation_id":"419f9b25-18e8-42ce-86ae-72a96f1c6722","resolution":{"observed_at":"2026-08-07T12:28:27.288669Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1088/0305-4470/30/15/013","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:28:25.645549Z","title":"Zero-temperature hysteresis in the random-field Ising model on a Bethe lattice","venue":null,"work_id":"f2c4de60-c15f-4f7d-831d-f8762feef563","year":1997},"citing_paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T12:28:21.437458Z"},"links":{"citing_paper":"/paper/2505.24631"},"observation_digest":"sha256:82dbd143edec18e74ea7e041c9505422968996bcd9c24b8926be9aa03d58ae77","observation_id":"18267b12-a241-4275-a982-1bc04907b168","resolution":{"observed_at":"2026-08-07T12:28:25.770338Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T12:28:21.557767Z","title":"Quantifying firm-level economic systemic risk from nation-wide supply networks","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T12:28:21.557767Z"},"links":{"citing_paper":"/paper/2505.24631"},"observation_digest":"sha256:4e2b2d7bb038fed574a0077be490685e14c700a7b82988af68acd01b64ca1f79","observation_id":"f9e50f6c-2c34-4762-848a-a4dbeedd656c","resolution":{"observed_at":"2026-08-07T12:28:21.557767Z","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":"2026-08-07T12:28:27.024010Z","title":"Cascades on correlated and modular random net- works","venue":null,"work_id":"19156253-d090-4494-a480-6d790b94bb4f","year":2008},"citing_paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T12:28:21.656129Z"},"links":{"citing_paper":"/paper/2505.24631"},"observation_digest":"sha256:4453d3736b1a9ec5c684711ee885ac7f854d8196610640aa579acd1370882c3a","observation_id":"444abed6-ac16-459f-b160-65ac83fc4ac0","resolution":{"observed_at":"2026-08-07T12:28:27.116233Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physreve.77.057101","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:28:25.369792Z","title":"Mean size of avalanches on directed random networks with arbitrary degree distributions","venue":null,"work_id":"1914e27e-196c-4a3d-802e-cee907ef3dd0","year":2008},"citing_paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T12:28:21.766393Z"},"links":{"citing_paper":"/paper/2505.24631"},"observation_digest":"sha256:f93ce07cc121d451a3fa43bb5a0623f181ab46702c6887c0609982f1f68a4fce","observation_id":"58f7e1ba-b16f-420a-953f-8c89bef2fbf2","resolution":{"observed_at":"2026-08-07T12:28:25.517114Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physreve.75.056103","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:28:25.123683Z","title":"Seed size strongly affects cascades on random networks","venue":null,"work_id":"71a98b09-88e3-4637-81b1-b5e4c75020fe","year":2007},"citing_paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T12:28:21.848608Z"},"links":{"citing_paper":"/paper/2505.24631"},"observation_digest":"sha256:8b6f3d46048c69d6647e4266767fd1e9651300ea958062adc27aed6c9e9c8de3","observation_id":"bf4b2511-8a96-4c3e-9a98-e8622fb60207","resolution":{"observed_at":"2026-08-07T12:28:25.240831Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T12:28:26.853750Z","title":null,"venue":null,"work_id":"5d5e11f4-e008-4969-a001-de47891fb6ed","year":1963},"citing_paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T12:28:21.976649Z"},"links":{"citing_paper":"/paper/2505.24631"},"observation_digest":"sha256:980d84cd9194cd1c898082c911f54ea49525c2dcc2a4ffe064ef3583e23e848a","observation_id":"72fdf5e1-943c-4210-ae1e-4389b8fff5d9","resolution":{"observed_at":"2026-08-07T12:28:26.942199Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T12:28:22.052170Z","title":"Firm-level propagation of shocks through supply-chain networks","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T12:28:22.052170Z"},"links":{"citing_paper":"/paper/2505.24631"},"observation_digest":"sha256:c3919e56d889dab2956cf2db4616d42f4a447f738ce2eab2d07c089bc03d9a6c","observation_id":"a7fc256d-abf8-41b7-809a-93c356381830","resolution":{"observed_at":"2026-08-07T12:28:22.052170Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1371/journal.pbio.1002527","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:28:24.892980Z","title":"How Structured Is the Entangled Bank? The Surprisingly Simple Organization of Multiplex Ecological Networks Leads to Increased Persistence and Resilience","venue":null,"work_id":"3031b539-d2a8-42aa-b11d-ae5f5d87aea0","year":2016},"citing_paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T12:28:22.161528Z"},"links":{"citing_paper":"/paper/2505.24631"},"observation_digest":"sha256:7221958f0625e4835e13a8713bee08e9160e9aa57c25d4463da954cf3e384596","observation_id":"8163dbc8-5d0a-4b72-a62a-d598f8479412","resolution":{"observed_at":"2026-08-07T12:28:24.984616Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T12:28:26.659081Z","title":"A universal route to explosive phe- nomena","venue":null,"work_id":"e8b5a483-6678-4b1b-a11d-bf98b67674c9","year":2021},"citing_paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T12:28:22.271894Z"},"links":{"citing_paper":"/paper/2505.24631"},"observation_digest":"sha256:ac3c9d8e7bdaec68ac599d41bee1f49ce8c58899b4f6f912a9e76e1efe02d2c5","observation_id":"6d5f21ee-a94f-47a7-ab5c-a42e5ba66aa2","resolution":{"observed_at":"2026-08-07T12:28:26.730219Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T12:28:22.401054Z","title":"Kuznetsov","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T12:28:22.401054Z"},"links":{"citing_paper":"/paper/2505.24631"},"observation_digest":"sha256:5837cf90f3890479e4e040ac49bfa38944b1ee5676c9e7f894a950759243c2c5","observation_id":"ed637961-2941-45c3-b592-3329bd0e4fcb","resolution":{"observed_at":"2026-08-07T12:28:22.401054Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:28:22.492801Z","title":"Threshold cascades with response heterogeneity in multiplex networks","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T12:28:22.492801Z"},"links":{"citing_paper":"/paper/2505.24631"},"observation_digest":"sha256:d83df699c54650fc770cbf9dc72f5bba13092cd01a295df159cefb1ec8d30e58","observation_id":"16dff43f-96a7-4a68-84b8-19a4aef723ad","resolution":{"observed_at":"2026-08-07T12:28:22.492801Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physreve.66.065102","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:28:24.714257Z","title":"Cascade-based attacks on com- plex networks","venue":null,"work_id":"a58c767b-2ddc-43d7-909a-162fd5812131","year":2002},"citing_paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T12:28:22.594792Z"},"links":{"citing_paper":"/paper/2505.24631"},"observation_digest":"sha256:1b50612f36f89412f9856788a2590fee4bfe760d8f72973a55014e2b0b570d1f","observation_id":"85205e01-06b3-4a3c-8a0b-a3a74556b57f","resolution":{"observed_at":"2026-08-07T12:28:24.802112Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1098/rspa.2022","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:28:24.520055Z","title":"Message passing methods on complex networks","venue":null,"work_id":"3d5af9da-c429-4f99-a0b6-947c363228d8","year":2023},"citing_paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T12:28:22.701064Z"},"links":{"citing_paper":"/paper/2505.24631"},"observation_digest":"sha256:470ec0febe9e7b08451240fa8c36678da749461ab5c2d3af380647eea9cc4c27","observation_id":"0db24b61-0252-4ccd-b1f4-ffdc4c737b2d","resolution":{"observed_at":"2026-08-07T12:28:24.597354Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T12:28:22.811137Z","title":"Random graphs with arbitrary degree distributions and their applications","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T12:28:22.811137Z"},"links":{"citing_paper":"/paper/2505.24631"},"observation_digest":"sha256:404185e5b1a7974325940d42e2fdc491d7f928393f8f9ae8cc5343e47bab9ec0","observation_id":"28bf1b5f-8170-4ace-aced-8d55dbe5c63f","resolution":{"observed_at":"2026-08-07T12:28:22.811137Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:28:22.930551Z","title":"Measuring and modeling correlations in multiplex networks","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T12:28:22.930551Z"},"links":{"citing_paper":"/paper/2505.24631"},"observation_digest":"sha256:af22cc1b1ad54bc5009d28ecd4498a1f820462c249027024f7411189850d18bd","observation_id":"0a1ecdf1-f1b8-41da-b37a-96bb92bd7f8b","resolution":{"observed_at":"2026-08-07T12:28:22.930551Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:28:23.052798Z","title":"Epidemic Spread- ing in Scale-Free Networks","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T12:28:23.052798Z"},"links":{"citing_paper":"/paper/2505.24631"},"observation_digest":"sha256:dc9f567757f0f4fbeee699a94ab122ce52111680dd3f4964a6abb10efe8f01f8","observation_id":"24368b7d-dcbb-4977-b672-43f655658761","resolution":{"observed_at":"2026-08-07T12:28:23.052798Z","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":"2026-08-07T12:28:26.502055Z","title":null,"venue":null,"work_id":"46f94385-1282-4bd6-949c-4c84780c8686","year":null},"citing_paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T12:28:23.146891Z"},"links":{"citing_paper":"/paper/2505.24631"},"observation_digest":"sha256:82b9c0c5c6bd7f4a512347a231e253a840588ef25e80a3935b6c24371cc0a8da","observation_id":"e4ad8d88-77d7-47f1-bf62-e2acf3345c8e","resolution":{"observed_at":"2026-08-07T12:28:26.585644Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physreve.89.022805","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:28:24.295046Z","title":"Message-passing approach for threshold models of behavior in networks","venue":null,"work_id":"95fbe608-d08a-4b9d-b153-4f2280fc43fe","year":2014},"citing_paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T12:28:23.316262Z"},"links":{"citing_paper":"/paper/2505.24631"},"observation_digest":"sha256:556f27db12ec6be5b003b65581cd2ce486bd4040b26af80db0f6c5dde6b1a21d","observation_id":"5751f6fe-4baa-4b83-a910-300f14e6e8e8","resolution":{"observed_at":"2026-08-07T12:28:24.361260Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T12:28:23.434963Z","title":"Properties of random graphs with hidden color","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T12:28:23.434963Z"},"links":{"citing_paper":"/paper/2505.24631"},"observation_digest":"sha256:237faea538b7f5b1e9ae7738cf5a9a18dd45e22ab402d0e896049583de566133","observation_id":"21440df8-3a3a-4bdf-a53b-c4cbe4c2770b","resolution":{"observed_at":"2026-08-07T12:28:23.434963Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physreve.100.040301","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:28:24.143450Z","title":"Reentrant phase transitions in threshold driven contagion on multiplex networks","venue":null,"work_id":"b0434b6d-88de-4065-9f1b-15f3b67684c3","year":2019},"citing_paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T12:28:23.532077Z"},"links":{"citing_paper":"/paper/2505.24631"},"observation_digest":"sha256:c5cdcfc5018ff4ff41c1d9c9142ca5b468b656764fac6c74ce9216f2616b96c9","observation_id":"b2ced2cc-8dcb-49f9-b5c0-998c5845ed48","resolution":{"observed_at":"2026-08-07T12:28:24.190949Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T12:28:23.656652Z","title":"A simple model of global cascades on random net- works","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T12:28:23.656652Z"},"links":{"citing_paper":"/paper/2505.24631"},"observation_digest":"sha256:aabb08010e1113d3d1ff03310b9922da46a8b1ac024479a438931f07381e67a6","observation_id":"55a74597-0c25-4eee-8740-ad9d34012317","resolution":{"observed_at":"2026-08-07T12:28:23.656652Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physreve.86.036103","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:28:23.989364Z","title":"Analysis of complex contagions in ran- dom multiplex networks","venue":null,"work_id":"f9706bcd-a8a0-4c84-bc56-b92cac8e1d68","year":2012},"citing_paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T12:28:23.767019Z"},"links":{"citing_paper":"/paper/2505.24631"},"observation_digest":"sha256:4c29cdef9d2d3d315ad2c114706abe9c8361914ad8b2229e7ba1c5873609bd4f","observation_id":"3c358658-28e3-4bc4-b833-ecb7b5956b3b","resolution":{"observed_at":"2026-08-07T12:28:24.038913Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T12:28:26.321886Z","title":"Clustering determines the dynamics of complex contagions in multiplex networks","venue":null,"work_id":"08688b68-a951-42a1-a175-d5dc35682940","year":2017},"citing_paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T12:28:23.873635Z"},"links":{"citing_paper":"/paper/2505.24631"},"observation_digest":"sha256:08f780ed058aacbb6a3f816d6faaf89652d81109d270ee6fb98e638ad960f295","observation_id":"07426601-2f87-4f52-a4a4-e1ba4cc56d15","resolution":{"observed_at":"2026-08-07T12:28:26.413417Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T12:28:23.226529Z","title":"doi: 10.1007/0-387-32792-4","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure","version":2},"reference_index":1981,"source":"pdf_text","source_observed_at":"2026-08-07T12:28:23.226529Z"},"links":{"citing_paper":"/paper/2505.24631"},"observation_digest":"sha256:cdb8427cb964b9dd3f5fb0c196c6f46ee1d4d982d4894316f5bc4b3ff0210ed4","observation_id":"a1ff6213-05f1-41b8-983d-56aa0c85f2ae","resolution":{"observed_at":"2026-08-07T12:28:23.226529Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1140/epjst/e2016-60274-8","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:28:26.157132Z","title":null,"venue":null,"work_id":"f80aa550-2ea6-41f9-9b38-d75b5702d600","year":null},"citing_paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure","version":2},"reference_index":6401,"source":"pdf_text","source_observed_at":"2026-08-07T12:28:21.011538Z"},"links":{"citing_paper":"/paper/2505.24631"},"observation_digest":"sha256:67191cb09b069b2283033ed13f0a6f85d109df18e69a29a28b1b86d081d1ba43","observation_id":"4a2cdc0f-34c1-4c25-b2aa-c0ac96c110ca","resolution":{"observed_at":"2026-08-07T12:28:26.243822Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.24631","last_updated":"2026-07-10T11:18:13Z","latest_version":2,"primary_category":"nlin.AO","snapshot_observed_at":"2026-08-09T02:12:42.077657Z","submitted_at":"2025-05-30T14:24:56Z","title":"Cascades on Networks with Functional Structure"},"reference_resolution":{"displayed":32,"state_counts":{"malformed_identifier":6,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":11,"verified_exact":12,"verified_fuzzy":3},"total_outbound_references":32},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2505.24631."}