{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:D4M3HJBYUBKQLDQBKXZX2WUN4O","short_pith_number":"pith:D4M3HJBY","schema_version":"1.0","canonical_sha256":"1f19b3a438a055058e0155f37d5a8de3aacb87655db009627dbba388a9159e21","source":{"kind":"arxiv","id":"1811.12357","version":2},"attestation_state":"computed","paper":{"title":"Strichartz estimates without loss outside many strictly convex obstacles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"David Lafontaine","submitted_at":"2018-11-29T18:09:12Z","abstract_excerpt":"We prove Strichartz estimates without loss for the Schr\\\"odinger equation and the wave equation outside finitely many strictly convex obstacles verifying Ikawa's condition, extending the approach we introduced previously for the two convex case."},"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":"1811.12357","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-11-29T18:09:12Z","cross_cats_sorted":[],"title_canon_sha256":"1cbf00c76d3b0882a38c50cdb2cb1799ae44bb1d422b3a67b9ae40c0f9c483c7","abstract_canon_sha256":"b4e1531e197ec78753953a1fa9647d6e9d4e524682e0e7438dac9317d082bf2f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:47.149614Z","signature_b64":"xjAZGzpeFuZcoYn4XyRTh6hX7iksnFwCrv3UCqhm6bjv4suI5t9xJbwH7WE6Z5bBUfFCieKNrZyd/SnMieg3Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1f19b3a438a055058e0155f37d5a8de3aacb87655db009627dbba388a9159e21","last_reissued_at":"2026-05-17T23:58:47.149209Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:47.149209Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Strichartz estimates without loss outside many strictly convex obstacles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"David Lafontaine","submitted_at":"2018-11-29T18:09:12Z","abstract_excerpt":"We prove Strichartz estimates without loss for the Schr\\\"odinger equation and the wave equation outside finitely many strictly convex obstacles verifying Ikawa's condition, extending the approach we introduced previously for the two convex case."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.12357","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":"1811.12357","created_at":"2026-05-17T23:58:47.149271+00:00"},{"alias_kind":"arxiv_version","alias_value":"1811.12357v2","created_at":"2026-05-17T23:58:47.149271+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.12357","created_at":"2026-05-17T23:58:47.149271+00:00"},{"alias_kind":"pith_short_12","alias_value":"D4M3HJBYUBKQ","created_at":"2026-05-18T12:32:19.392346+00:00"},{"alias_kind":"pith_short_16","alias_value":"D4M3HJBYUBKQLDQB","created_at":"2026-05-18T12:32:19.392346+00:00"},{"alias_kind":"pith_short_8","alias_value":"D4M3HJBY","created_at":"2026-05-18T12:32:19.392346+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/D4M3HJBYUBKQLDQBKXZX2WUN4O","json":"https://pith.science/pith/D4M3HJBYUBKQLDQBKXZX2WUN4O.json","graph_json":"https://pith.science/api/pith-number/D4M3HJBYUBKQLDQBKXZX2WUN4O/graph.json","events_json":"https://pith.science/api/pith-number/D4M3HJBYUBKQLDQBKXZX2WUN4O/events.json","paper":"https://pith.science/paper/D4M3HJBY"},"agent_actions":{"view_html":"https://pith.science/pith/D4M3HJBYUBKQLDQBKXZX2WUN4O","download_json":"https://pith.science/pith/D4M3HJBYUBKQLDQBKXZX2WUN4O.json","view_paper":"https://pith.science/paper/D4M3HJBY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1811.12357&json=true","fetch_graph":"https://pith.science/api/pith-number/D4M3HJBYUBKQLDQBKXZX2WUN4O/graph.json","fetch_events":"https://pith.science/api/pith-number/D4M3HJBYUBKQLDQBKXZX2WUN4O/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/D4M3HJBYUBKQLDQBKXZX2WUN4O/action/timestamp_anchor","attest_storage":"https://pith.science/pith/D4M3HJBYUBKQLDQBKXZX2WUN4O/action/storage_attestation","attest_author":"https://pith.science/pith/D4M3HJBYUBKQLDQBKXZX2WUN4O/action/author_attestation","sign_citation":"https://pith.science/pith/D4M3HJBYUBKQLDQBKXZX2WUN4O/action/citation_signature","submit_replication":"https://pith.science/pith/D4M3HJBYUBKQLDQBKXZX2WUN4O/action/replication_record"}},"created_at":"2026-05-17T23:58:47.149271+00:00","updated_at":"2026-05-17T23:58:47.149271+00:00"}