{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:YO4XKJTULSSFYN6QNMCSIJU44T","short_pith_number":"pith:YO4XKJTU","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"},"canonical_sha256":"c3b97526745ca45c37d06b0524269ce4cab8cee521585b5cb1ac3021288c07a4","source":{"kind":"arxiv","id":"1007.0231","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.0231","created_at":"2026-05-18T04:09:54Z"},{"alias_kind":"arxiv_version","alias_value":"1007.0231v5","created_at":"2026-05-18T04:09:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.0231","created_at":"2026-05-18T04:09:54Z"},{"alias_kind":"pith_short_12","alias_value":"YO4XKJTULSSF","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"YO4XKJTULSSFYN6Q","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"YO4XKJTU","created_at":"2026-05-18T12:26:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:YO4XKJTULSSFYN6QNMCSIJU44T","target":"record","payload":{"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"},"canonical_sha256":"c3b97526745ca45c37d06b0524269ce4cab8cee521585b5cb1ac3021288c07a4","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"},"source_kind":"arxiv","source_id":"1007.0231","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:09:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Me4PNl7aItbRF0YPd9WCn0Tmu9i9UW4hsw/xAtXKNZjXtlW9J5cKRIWHbqquGnvem6pQy7hMYFHwKZARquBgDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T23:24:28.955375Z"},"content_sha256":"008a5fbafb19a52905b015e4cf44301f9ea620e0a335e407fa6b3567214afad8","schema_version":"1.0","event_id":"sha256:008a5fbafb19a52905b015e4cf44301f9ea620e0a335e407fa6b3567214afad8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:YO4XKJTULSSFYN6QNMCSIJU44T","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:09:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ynnNDlFk9/QEWqEXCgD4kA539aIkKJvBNftjZez14V3cv5gQmj2QOzK5bcJR9eM+Wy8tfwkUxBY9opsxcp0RCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T23:24:28.955720Z"},"content_sha256":"1a302c6ff480f4fcda0d8f81cb49bab92033364605c24ed3e6db832bb470ecbc","schema_version":"1.0","event_id":"sha256:1a302c6ff480f4fcda0d8f81cb49bab92033364605c24ed3e6db832bb470ecbc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YO4XKJTULSSFYN6QNMCSIJU44T/bundle.json","state_url":"https://pith.science/pith/YO4XKJTULSSFYN6QNMCSIJU44T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YO4XKJTULSSFYN6QNMCSIJU44T/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-02T23:24:28Z","links":{"resolver":"https://pith.science/pith/YO4XKJTULSSFYN6QNMCSIJU44T","bundle":"https://pith.science/pith/YO4XKJTULSSFYN6QNMCSIJU44T/bundle.json","state":"https://pith.science/pith/YO4XKJTULSSFYN6QNMCSIJU44T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YO4XKJTULSSFYN6QNMCSIJU44T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:YO4XKJTULSSFYN6QNMCSIJU44T","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"35f61863b63efa6bccec45aabfde52c53ae7a163bac52985560004bb41687532","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-07-01T19:01:45Z","title_canon_sha256":"87f98a9cb53078210fbc2d406f91b90ff08398fffa0a19926fb7ec07d58e4b20"},"schema_version":"1.0","source":{"id":"1007.0231","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.0231","created_at":"2026-05-18T04:09:54Z"},{"alias_kind":"arxiv_version","alias_value":"1007.0231v5","created_at":"2026-05-18T04:09:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.0231","created_at":"2026-05-18T04:09:54Z"},{"alias_kind":"pith_short_12","alias_value":"YO4XKJTULSSF","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"YO4XKJTULSSFYN6Q","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"YO4XKJTU","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:1a302c6ff480f4fcda0d8f81cb49bab92033364605c24ed3e6db832bb470ecbc","target":"graph","created_at":"2026-05-18T04:09:54Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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.","authors_text":"Sinan Ariturk","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-07-01T19:01:45Z","title":"Concentration of eigenfunctions near a concave boundary"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.0231","kind":"arxiv","version":5},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:008a5fbafb19a52905b015e4cf44301f9ea620e0a335e407fa6b3567214afad8","target":"record","created_at":"2026-05-18T04:09:54Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"35f61863b63efa6bccec45aabfde52c53ae7a163bac52985560004bb41687532","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-07-01T19:01:45Z","title_canon_sha256":"87f98a9cb53078210fbc2d406f91b90ff08398fffa0a19926fb7ec07d58e4b20"},"schema_version":"1.0","source":{"id":"1007.0231","kind":"arxiv","version":5}},"canonical_sha256":"c3b97526745ca45c37d06b0524269ce4cab8cee521585b5cb1ac3021288c07a4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3b97526745ca45c37d06b0524269ce4cab8cee521585b5cb1ac3021288c07a4","first_computed_at":"2026-05-18T04:09:54.653543Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:09:54.653543Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4VNbfnM3/Krj0a1laDOpcj1DDbdyosEFuoLd25xbQqyWsDiEQ4ZJ4hleCqJqFHbX4QKJR5rfatMypIUIz7LUDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:09:54.654181Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.0231","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:008a5fbafb19a52905b015e4cf44301f9ea620e0a335e407fa6b3567214afad8","sha256:1a302c6ff480f4fcda0d8f81cb49bab92033364605c24ed3e6db832bb470ecbc"],"state_sha256":"cc9c3a8d044ebdfd3914261165084e9639e5e4a63a8ad6a5bb707c2c58f8d5a1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"06nHXSFfwabiQ9JqIn/2DGnaQfOO0qhxQ9m7Zq4DAtzTt8qKOkxoyuBRg/JF4u00N9Hv0tantXBla7RNIR+1Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T23:24:28.957606Z","bundle_sha256":"eacd44804ae412e58acbfdcd8eeb237720bc3c06aa74c1709cf1cf5f10361615"}}