{"as_of":"2026-08-12T21:24:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0698a41b2aa2f2c233b2f516a8707012d2a9d54102499936e5aafd7227508005","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":2,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":2,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T05:54:34.805506Z","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":"2026-05-17T22:32:11.088724Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2503.18864","last_updated":"2025-07-24T10:08:58Z","snapshot_observed_at":"2026-08-07T16:40:39.785684Z","submitted_at":"2025-03-24T16:39:48Z","title":"The Graph Geometric Control Condition","version":2},"cited_work":{"arxiv_id":"2503.18864","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2503.18864","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Ammari, A","venue":null,"work_id":"1c188cc9-b988-40ab-b491-9d34167d1a7d","year":2025},"citing_paper":{"arxiv_id":"2511.10358","last_updated":"2026-05-10T10:10:08Z","snapshot_observed_at":"2026-08-10T03:39:06.461178Z","submitted_at":"2025-11-13T14:35:22Z","title":"Observable sets for Schr\\\"odinger equations on combinatorial graphs","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-17T22:30:35.803681Z"},"links":{"cited_paper":"/paper/2503.18864","citing_paper":"/paper/2511.10358"},"observation_digest":"sha256:64bc71a23e24251b502f89fbf77955ee85a835edca5917888a74101b28794601","observation_id":"1c8b44a6-9bc2-4b8a-9f4f-2a285ea51eab","resolution":{"observed_at":"2026-05-17T22:32:11.090724Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.18864","last_updated":"2025-07-24T10:08:58Z","snapshot_observed_at":"2026-08-07T16:40:39.785684Z","submitted_at":"2025-03-24T16:39:48Z","title":"The Graph Geometric Control Condition","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.18864","snapshot_observed_at":"2026-08-02T05:54:34.805506Z","title":"Ammari, A","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.13279","last_updated":"2026-07-14T21:30:39Z","snapshot_observed_at":"2026-08-08T07:48:11.425735Z","submitted_at":"2026-07-14T21:30:39Z","title":"Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-02T05:54:34.805506Z"},"links":{"cited_paper":"/paper/2503.18864","citing_paper":"/paper/2607.13279"},"observation_digest":"sha256:694650bb7d40cce9ebd8b651c7679046f2a90b3fcaa4caf6b88c4d5bc13ac851","observation_id":"b1819814-d111-4347-86be-6182c5ad4ca3","resolution":{"observed_at":"2026-08-02T05:54:34.805506Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2503.18864/citation-record","integrity":"/paper/2503.18864/integrity","json":"/paper/2503.18864/citation-record.json","paper":"/paper/2503.18864"},"outbound":[],"paper":{"arxiv_id":"2503.18864","last_updated":"2025-07-24T10:08:58Z","latest_version":2,"primary_category":"math.OC","snapshot_observed_at":"2026-08-07T16:40:39.785684Z","submitted_at":"2025-03-24T16:39:48Z","title":"The Graph Geometric Control Condition"},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2503.18864."}