{"as_of":"2026-08-20T11:42:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:65f9a1883f11ecc56b76d07e0a0cbad7f9a594b18901e06103468c72158d5d02","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":"2026-08-20T06:33:59.587034+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":"2026-08-15T23:18:56.212614Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-11T17:42:32.282028Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2405.16145","last_updated":"2024-05-25T09:29:19Z","snapshot_observed_at":"2026-08-16T13:49:31.070340Z","submitted_at":"2024-05-25T09:29:19Z","title":"A blow-up result for the semilinear Euler-Poisson-Darboux-Tricomi equation with critical power nonlinearity","version":1},"cited_work":{"arxiv_id":"2405.16145","doi":null,"metadata_source":"pith","pith_arxiv_id":"2405.16145","snapshot_observed_at":"2026-08-11T17:42:32.282028Z","title":"A blow-up result for the semilinear Euler-Poisson-Darboux-Tricomi equation with critical power nonlinearity","venue":"math.AP","work_id":"801a9850-70af-413f-8fd0-9c52903b6883","year":2024},"citing_paper":{"arxiv_id":"2412.08834","last_updated":"2024-12-12T00:18:32Z","snapshot_observed_at":"2026-08-16T01:03:14.555805Z","submitted_at":"2024-12-12T00:18:32Z","title":"Appearance of Strauss-type exponent in semilinear wave equations with time-dependent speed of propagation","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T17:42:31.971933Z"},"links":{"cited_paper":"/paper/2405.16145","citing_paper":"/paper/2412.08834"},"observation_digest":"sha256:9a9c29d71d4ed7bdfd72e3ac0d52ebc9e2a03ab87ff4e0e4ba327b1c28505942","observation_id":"b9db6890-47b0-4dd7-b94e-0ad82851bcdf","resolution":{"observed_at":"2026-08-11T17:42:32.289411Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.16145","last_updated":"2024-05-25T09:29:19Z","snapshot_observed_at":"2026-08-16T13:49:31.070340Z","submitted_at":"2024-05-25T09:29:19Z","title":"A blow-up result for the semilinear Euler-Poisson-Darboux-Tricomi equation with critical power nonlinearity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.16145","snapshot_observed_at":"2026-08-15T23:18:56.212614Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.05268","last_updated":"2025-06-25T09:15:35Z","snapshot_observed_at":"2026-08-15T23:05:55.599214Z","submitted_at":"2025-05-08T14:14:43Z","title":"Morawetz type estimate for damped wave equation in $\\mathbb{R}^n (n\\geq 4)$ and its application","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-15T23:18:56.212614Z"},"links":{"cited_paper":"/paper/2405.16145","citing_paper":"/paper/2505.05268"},"observation_digest":"sha256:b1ed7fb42ffb140d7dfba7eafe74e0ce4b3e1c88527245d8874700bf6d7065b8","observation_id":"5195839d-e8d8-4565-9b9e-f645d2cfc4fe","resolution":{"observed_at":"2026-08-15T23:18:56.212614Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2405.16145/citation-record","integrity":"/paper/2405.16145/integrity","json":"/paper/2405.16145/citation-record.json","paper":"/paper/2405.16145"},"outbound":[],"paper":{"arxiv_id":"2405.16145","last_updated":"2024-05-25T09:29:19Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-16T13:49:31.070340Z","submitted_at":"2024-05-25T09:29:19Z","title":"A blow-up result for the semilinear Euler-Poisson-Darboux-Tricomi equation with critical power nonlinearity"},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2405.16145."}