{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:YO4XKJTULSSFYN6QNMCSIJU44T","short_pith_number":"pith:YO4XKJTU","schema_version":"1.0","canonical_sha256":"c3b97526745ca45c37d06b0524269ce4cab8cee521585b5cb1ac3021288c07a4","source":{"kind":"arxiv","id":"1007.0231","version":5},"attestation_state":"computed","paper":{"title":"Concentration of eigenfunctions near a concave boundary","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Sinan Ariturk","submitted_at":"2010-07-01T19:01:45Z","abstract_excerpt":"This paper concerns the concentration of Dirichlet eigenfunctions of the Laplacian on a compact two-dimensional Riemannian manifold with strictly geodesically concave boundary. We link three inequalities which bound the concentration in different ways. We also prove one of these inequalities, which bounds the L^p norms of the restrictions of eigenfunctions to broken geodesics."},"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":"1007.0231","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-07-01T19:01:45Z","cross_cats_sorted":[],"title_canon_sha256":"87f98a9cb53078210fbc2d406f91b90ff08398fffa0a19926fb7ec07d58e4b20","abstract_canon_sha256":"35f61863b63efa6bccec45aabfde52c53ae7a163bac52985560004bb41687532"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:09:54.654181Z","signature_b64":"4VNbfnM3/Krj0a1laDOpcj1DDbdyosEFuoLd25xbQqyWsDiEQ4ZJ4hleCqJqFHbX4QKJR5rfatMypIUIz7LUDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c3b97526745ca45c37d06b0524269ce4cab8cee521585b5cb1ac3021288c07a4","last_reissued_at":"2026-05-18T04:09:54.653543Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:09:54.653543Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Concentration of eigenfunctions near a concave boundary","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Sinan Ariturk","submitted_at":"2010-07-01T19:01:45Z","abstract_excerpt":"This paper concerns the concentration of Dirichlet eigenfunctions of the Laplacian on a compact two-dimensional Riemannian manifold with strictly geodesically concave boundary. We link three inequalities which bound the concentration in different ways. We also prove one of these inequalities, which bounds the L^p norms of the restrictions of eigenfunctions to broken geodesics."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.0231","kind":"arxiv","version":5},"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":"1007.0231","created_at":"2026-05-18T04:09:54.653649+00:00"},{"alias_kind":"arxiv_version","alias_value":"1007.0231v5","created_at":"2026-05-18T04:09:54.653649+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.0231","created_at":"2026-05-18T04:09:54.653649+00:00"},{"alias_kind":"pith_short_12","alias_value":"YO4XKJTULSSF","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_16","alias_value":"YO4XKJTULSSFYN6Q","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_8","alias_value":"YO4XKJTU","created_at":"2026-05-18T12:26:17.028572+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/YO4XKJTULSSFYN6QNMCSIJU44T","json":"https://pith.science/pith/YO4XKJTULSSFYN6QNMCSIJU44T.json","graph_json":"https://pith.science/api/pith-number/YO4XKJTULSSFYN6QNMCSIJU44T/graph.json","events_json":"https://pith.science/api/pith-number/YO4XKJTULSSFYN6QNMCSIJU44T/events.json","paper":"https://pith.science/paper/YO4XKJTU"},"agent_actions":{"view_html":"https://pith.science/pith/YO4XKJTULSSFYN6QNMCSIJU44T","download_json":"https://pith.science/pith/YO4XKJTULSSFYN6QNMCSIJU44T.json","view_paper":"https://pith.science/paper/YO4XKJTU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1007.0231&json=true","fetch_graph":"https://pith.science/api/pith-number/YO4XKJTULSSFYN6QNMCSIJU44T/graph.json","fetch_events":"https://pith.science/api/pith-number/YO4XKJTULSSFYN6QNMCSIJU44T/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YO4XKJTULSSFYN6QNMCSIJU44T/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YO4XKJTULSSFYN6QNMCSIJU44T/action/storage_attestation","attest_author":"https://pith.science/pith/YO4XKJTULSSFYN6QNMCSIJU44T/action/author_attestation","sign_citation":"https://pith.science/pith/YO4XKJTULSSFYN6QNMCSIJU44T/action/citation_signature","submit_replication":"https://pith.science/pith/YO4XKJTULSSFYN6QNMCSIJU44T/action/replication_record"}},"created_at":"2026-05-18T04:09:54.653649+00:00","updated_at":"2026-05-18T04:09:54.653649+00:00"}