{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:5F7ATVO7WFSMKNYDR6J5RKR7TG","short_pith_number":"pith:5F7ATVO7","schema_version":"1.0","canonical_sha256":"e97e09d5dfb164c537038f93d8aa3f9988fc3441946cccde7cdc8f6acda83430","source":{"kind":"arxiv","id":"1908.04814","version":1},"attestation_state":"computed","paper":{"title":"Dynamics of Riemann waves with sharp measure-controlled damping","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"M. M. Cavalcanti, P. Mar\\'in-Rubio, P. N. Seminario-Huertas, T. F. Ma","submitted_at":"2019-08-13T18:35:38Z","abstract_excerpt":"This paper is concerned with locally damped semilinear wave equations defined on compact Riemannian manifolds with boundary. We present a construction of measure-controlled damping regions which are sharp in the sense that their summed interior and boundary measures are arbitrarily small. The construction of this class of open sets is purely geometric and allows us to prove a new observability inequality in terms of potential energy rather than the usual one with kinetic energy. A unique continuation property is also proved. Then, in three-dimension spaces, we establish the existence of finite"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1908.04814","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-08-13T18:35:38Z","cross_cats_sorted":[],"title_canon_sha256":"e18b953f540e54ba79b896c1ddad16ad19dbc0ee53ffd238fa69bc2e3afc3f40","abstract_canon_sha256":"7b3edfe556909c7dca498712ce98aceb98bd0012cce8a2b3ba24b5d3eca25981"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T23:55:57.145496Z","signature_b64":"ebCqemws20mzSbL19gjculFcRiGYQIt+ZL81n9f0kTEJUir2PJ21/hzN++vrEQ9HuOZMmNZMz4wo69vBlkwAAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e97e09d5dfb164c537038f93d8aa3f9988fc3441946cccde7cdc8f6acda83430","last_reissued_at":"2026-07-04T23:55:57.145035Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T23:55:57.145035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dynamics of Riemann waves with sharp measure-controlled damping","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"M. M. Cavalcanti, P. Mar\\'in-Rubio, P. N. Seminario-Huertas, T. F. Ma","submitted_at":"2019-08-13T18:35:38Z","abstract_excerpt":"This paper is concerned with locally damped semilinear wave equations defined on compact Riemannian manifolds with boundary. We present a construction of measure-controlled damping regions which are sharp in the sense that their summed interior and boundary measures are arbitrarily small. The construction of this class of open sets is purely geometric and allows us to prove a new observability inequality in terms of potential energy rather than the usual one with kinetic energy. A unique continuation property is also proved. Then, in three-dimension spaces, we establish the existence of finite"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.04814","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.04814/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1908.04814","created_at":"2026-07-04T23:55:57.145099+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.04814v1","created_at":"2026-07-04T23:55:57.145099+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.04814","created_at":"2026-07-04T23:55:57.145099+00:00"},{"alias_kind":"pith_short_12","alias_value":"5F7ATVO7WFSM","created_at":"2026-07-04T23:55:57.145099+00:00"},{"alias_kind":"pith_short_16","alias_value":"5F7ATVO7WFSMKNYD","created_at":"2026-07-04T23:55:57.145099+00:00"},{"alias_kind":"pith_short_8","alias_value":"5F7ATVO7","created_at":"2026-07-04T23:55:57.145099+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5F7ATVO7WFSMKNYDR6J5RKR7TG","json":"https://pith.science/pith/5F7ATVO7WFSMKNYDR6J5RKR7TG.json","graph_json":"https://pith.science/api/pith-number/5F7ATVO7WFSMKNYDR6J5RKR7TG/graph.json","events_json":"https://pith.science/api/pith-number/5F7ATVO7WFSMKNYDR6J5RKR7TG/events.json","paper":"https://pith.science/paper/5F7ATVO7"},"agent_actions":{"view_html":"https://pith.science/pith/5F7ATVO7WFSMKNYDR6J5RKR7TG","download_json":"https://pith.science/pith/5F7ATVO7WFSMKNYDR6J5RKR7TG.json","view_paper":"https://pith.science/paper/5F7ATVO7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.04814&json=true","fetch_graph":"https://pith.science/api/pith-number/5F7ATVO7WFSMKNYDR6J5RKR7TG/graph.json","fetch_events":"https://pith.science/api/pith-number/5F7ATVO7WFSMKNYDR6J5RKR7TG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5F7ATVO7WFSMKNYDR6J5RKR7TG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5F7ATVO7WFSMKNYDR6J5RKR7TG/action/storage_attestation","attest_author":"https://pith.science/pith/5F7ATVO7WFSMKNYDR6J5RKR7TG/action/author_attestation","sign_citation":"https://pith.science/pith/5F7ATVO7WFSMKNYDR6J5RKR7TG/action/citation_signature","submit_replication":"https://pith.science/pith/5F7ATVO7WFSMKNYDR6J5RKR7TG/action/replication_record"}},"created_at":"2026-07-04T23:55:57.145099+00:00","updated_at":"2026-07-04T23:55:57.145099+00:00"}