{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:RG3LKKJTF4MXFW665ACLK2FUVE","short_pith_number":"pith:RG3LKKJT","schema_version":"1.0","canonical_sha256":"89b6b529332f1972dbdee804b568b4a913a2cc92289af4df40e62b08b599ecfc","source":{"kind":"arxiv","id":"1010.2372","version":2},"attestation_state":"computed","paper":{"title":"The wave equation on hyperbolic spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.AP","authors_text":"Jean-Philippe Anker (MAPMO), Maria Vallarino (POLITO), Vittoria Pierfelice (MAPMO)","submitted_at":"2010-10-12T12:36:37Z","abstract_excerpt":"In this paper, we study the dispersive properties of the wave equation associated with the shifted Laplace-Beltrami operator on real hyperbolic spaces, and deduce Strichartz estimates for a large family of admissible pairs. As an application, we obtain local well-posedness results for the nonlinear wave equation."},"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":"1010.2372","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-10-12T12:36:37Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"722d648d18359d876663278e911ccecf72a3c90df299fa82d67861703292a5c8","abstract_canon_sha256":"7804147b05315d09d53464b9aebbc71e76a6ce871eee791cd47880c7383f73f4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:07:40.641312Z","signature_b64":"Hpc7ma0lV+Hv8X+RarV1H82wwuZxM1DuWzWY0iR9nsGC8evNncggAATotyjISShd71pbWXMviDphIOUn12EuDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"89b6b529332f1972dbdee804b568b4a913a2cc92289af4df40e62b08b599ecfc","last_reissued_at":"2026-05-18T04:07:40.640545Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:07:40.640545Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The wave equation on hyperbolic spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.AP","authors_text":"Jean-Philippe Anker (MAPMO), Maria Vallarino (POLITO), Vittoria Pierfelice (MAPMO)","submitted_at":"2010-10-12T12:36:37Z","abstract_excerpt":"In this paper, we study the dispersive properties of the wave equation associated with the shifted Laplace-Beltrami operator on real hyperbolic spaces, and deduce Strichartz estimates for a large family of admissible pairs. As an application, we obtain local well-posedness results for the nonlinear wave equation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.2372","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1010.2372","created_at":"2026-05-18T04:07:40.640668+00:00"},{"alias_kind":"arxiv_version","alias_value":"1010.2372v2","created_at":"2026-05-18T04:07:40.640668+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.2372","created_at":"2026-05-18T04:07:40.640668+00:00"},{"alias_kind":"pith_short_12","alias_value":"RG3LKKJTF4MX","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_16","alias_value":"RG3LKKJTF4MXFW66","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_8","alias_value":"RG3LKKJT","created_at":"2026-05-18T12:26:13.927090+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/RG3LKKJTF4MXFW665ACLK2FUVE","json":"https://pith.science/pith/RG3LKKJTF4MXFW665ACLK2FUVE.json","graph_json":"https://pith.science/api/pith-number/RG3LKKJTF4MXFW665ACLK2FUVE/graph.json","events_json":"https://pith.science/api/pith-number/RG3LKKJTF4MXFW665ACLK2FUVE/events.json","paper":"https://pith.science/paper/RG3LKKJT"},"agent_actions":{"view_html":"https://pith.science/pith/RG3LKKJTF4MXFW665ACLK2FUVE","download_json":"https://pith.science/pith/RG3LKKJTF4MXFW665ACLK2FUVE.json","view_paper":"https://pith.science/paper/RG3LKKJT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1010.2372&json=true","fetch_graph":"https://pith.science/api/pith-number/RG3LKKJTF4MXFW665ACLK2FUVE/graph.json","fetch_events":"https://pith.science/api/pith-number/RG3LKKJTF4MXFW665ACLK2FUVE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RG3LKKJTF4MXFW665ACLK2FUVE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RG3LKKJTF4MXFW665ACLK2FUVE/action/storage_attestation","attest_author":"https://pith.science/pith/RG3LKKJTF4MXFW665ACLK2FUVE/action/author_attestation","sign_citation":"https://pith.science/pith/RG3LKKJTF4MXFW665ACLK2FUVE/action/citation_signature","submit_replication":"https://pith.science/pith/RG3LKKJTF4MXFW665ACLK2FUVE/action/replication_record"}},"created_at":"2026-05-18T04:07:40.640668+00:00","updated_at":"2026-05-18T04:07:40.640668+00:00"}