{"as_of":"2026-08-18T13:55:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e051da1232f9f592bcc1e56843a98271915e4e353403cb1b7461b8ceafb8516b","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":6,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":6,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+00:00","state":"measured"},{"denominator":6,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":6,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T18:00:34.647387Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-03T12:28:07.746363Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2007.10455","last_updated":"2021-01-25T10:00:28Z","snapshot_observed_at":"2026-08-12T11:32:19.756929Z","submitted_at":"2020-07-20T20:31:39Z","title":"The multilayer random dot product graph","version":3},"cited_work":{"arxiv_id":"2007.10455","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2007.10455","snapshot_observed_at":"2026-07-03T12:28:07.746363Z","title":"B Proof of Theorem 1 Proof","venue":null,"work_id":"c9e3af2a-99d3-473e-b2f0-6616a0bc053d","year":2007},"citing_paper":{"arxiv_id":"2410.09810","last_updated":"2026-04-25T17:43:16Z","snapshot_observed_at":"2026-07-06T19:32:33.528354Z","submitted_at":"2024-10-13T11:55:42Z","title":"Doubly unfolded adjacency spectral embedding of dynamic multiplex graphs","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-23T19:19:56.442776Z"},"links":{"cited_paper":"/paper/2007.10455","citing_paper":"/paper/2410.09810"},"observation_digest":"sha256:3fbeeaf962cc819af2faca188b0790e42c117704901e5345e97027bb07e41018","observation_id":"571f0cce-f9e5-4e86-bad1-415c86cb7867","resolution":{"observed_at":"2026-05-23T19:23:21.974680Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2007.10455","last_updated":"2021-01-25T10:00:28Z","snapshot_observed_at":"2026-08-12T11:32:19.756929Z","submitted_at":"2020-07-20T20:31:39Z","title":"The multilayer random dot product graph","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2007.10455","snapshot_observed_at":"2026-08-10T23:57:04.122473Z","title":"and Rubin-Delanchy, P","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.19796","last_updated":"2024-12-27T18:51:15Z","snapshot_observed_at":"2026-08-16T17:52:56.289030Z","submitted_at":"2024-12-27T18:51:15Z","title":"Generalized Grade-of-Membership Estimation for High-dimensional Locally Dependent Data","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-10T23:57:04.122473Z"},"links":{"cited_paper":"/paper/2007.10455","citing_paper":"/paper/2412.19796"},"observation_digest":"sha256:57c7b672e20e9c67af37c93e2d59f32f2fa67365076291dd996a8db30fa7a073","observation_id":"2428c0d8-dcb1-4d66-9d62-0615cda03549","resolution":{"observed_at":"2026-08-10T23:57:04.122473Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2007.10455","last_updated":"2021-01-25T10:00:28Z","snapshot_observed_at":"2026-08-12T11:32:19.756929Z","submitted_at":"2020-07-20T20:31:39Z","title":"The multilayer random dot product graph","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2007.10455","snapshot_observed_at":"2026-08-06T22:24:52.541794Z","title":"The multilayer random dot product graph","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2506.21878","last_updated":"2025-06-27T03:31:45Z","snapshot_observed_at":"2026-08-11T18:49:08.079800Z","submitted_at":"2025-06-27T03:31:45Z","title":"Change Point Localization and Inference in Dynamic Multilayer Networks","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-06T22:24:52.541794Z"},"links":{"cited_paper":"/paper/2007.10455","citing_paper":"/paper/2506.21878"},"observation_digest":"sha256:c17a1ddb1e0d3db561760ed4a197dedc3e00e3a622e177a089871901d32f0353","observation_id":"b01cbb4c-a522-45c7-b025-7b8a1176303e","resolution":{"observed_at":"2026-08-06T22:24:52.541794Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2007.10455","last_updated":"2021-01-25T10:00:28Z","snapshot_observed_at":"2026-08-12T11:32:19.756929Z","submitted_at":"2020-07-20T20:31:39Z","title":"The multilayer random dot product graph","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2007.10455","snapshot_observed_at":"2026-08-15T18:00:34.647387Z","title":"Jones and P","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2507.19423","last_updated":"2025-07-25T16:43:42Z","snapshot_observed_at":"2026-08-17T11:49:17.724700Z","submitted_at":"2025-07-25T16:43:42Z","title":"Perfect Clustering in Very Sparse Diverse Multiplex Networks","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-15T18:00:34.647387Z"},"links":{"cited_paper":"/paper/2007.10455","citing_paper":"/paper/2507.19423"},"observation_digest":"sha256:5e7a9f0501a83c0cf534e1b685146fb915344b9e8721443244364200c67b7957","observation_id":"00939ae4-8aa4-4174-b0c4-5fb6107a94fb","resolution":{"observed_at":"2026-08-15T18:00:34.647387Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2007.10455","last_updated":"2021-01-25T10:00:28Z","snapshot_observed_at":"2026-08-12T11:32:19.756929Z","submitted_at":"2020-07-20T20:31:39Z","title":"The multilayer random dot product graph","version":3},"cited_work":{"arxiv_id":"2007.10455","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2007.10455","snapshot_observed_at":"2026-07-03T12:28:07.746363Z","title":"B Proof of Theorem 1 Proof","venue":null,"work_id":"c9e3af2a-99d3-473e-b2f0-6616a0bc053d","year":2007},"citing_paper":{"arxiv_id":"2508.12674","last_updated":"2026-02-23T16:09:58Z","snapshot_observed_at":"2026-08-08T03:14:22.196218Z","submitted_at":"2025-08-18T07:13:53Z","title":"Unfolded Laplacian Spectral Embedding: A Theoretically Grounded Approach to Dynamic Network Representation","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-18T23:26:26.172109Z"},"links":{"cited_paper":"/paper/2007.10455","citing_paper":"/paper/2508.12674"},"observation_digest":"sha256:cd35e6597596c41bbdb07deaea2298a8f5333d6116c600e8bb73f6df4d0b5ad6","observation_id":"35635207-3705-4bac-846c-394484e9011d","resolution":{"observed_at":"2026-05-18T23:26:53.955251Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2007.10455","last_updated":"2021-01-25T10:00:28Z","snapshot_observed_at":"2026-08-12T11:32:19.756929Z","submitted_at":"2020-07-20T20:31:39Z","title":"The multilayer random dot product graph","version":3},"cited_work":{"arxiv_id":"2007.10455","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2007.10455","snapshot_observed_at":"2026-07-03T12:28:07.746363Z","title":"B Proof of Theorem 1 Proof","venue":null,"work_id":"c9e3af2a-99d3-473e-b2f0-6616a0bc053d","year":2007},"citing_paper":{"arxiv_id":"2606.11768","last_updated":"2026-06-10T07:49:24Z","snapshot_observed_at":"2026-08-15T00:38:33.780854Z","submitted_at":"2026-06-10T07:49:24Z","title":"Hierarchical excitatory processes for modelling event-time data in the presence of exogenous stimuli","version":1},"reference_index":100,"source":"arxiv_source","source_observed_at":"2026-06-27T08:58:24.155489Z"},"links":{"cited_paper":"/paper/2007.10455","citing_paper":"/paper/2606.11768"},"observation_digest":"sha256:88a423b5f74b5c7179fe4d6a2e704fa956a02e977c6b3c9d790f62731e82bc30","observation_id":"07496acd-d5e3-4b56-8f72-0ee1ad7b5341","resolution":{"observed_at":"2026-07-03T12:28:07.747611Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2007.10455/citation-record","integrity":"/paper/2007.10455/integrity","json":"/paper/2007.10455/citation-record.json","paper":"/paper/2007.10455"},"outbound":[],"paper":{"arxiv_id":"2007.10455","last_updated":"2021-01-25T10:00:28Z","latest_version":3,"primary_category":"stat.ML","snapshot_observed_at":"2026-08-12T11:32:19.756929Z","submitted_at":"2020-07-20T20:31:39Z","title":"The multilayer random dot product graph"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:2007.10455."}