{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:TB2SZMSHV4F6RRYXF2MDRA5TM5","short_pith_number":"pith:TB2SZMSH","schema_version":"1.0","canonical_sha256":"98752cb247af0be8c7172e983883b3675b67281417ee1f0469bfd73390ccedb6","source":{"kind":"arxiv","id":"2008.07416","version":1},"attestation_state":"computed","paper":{"title":"Null Geodesics and Improved Unique Continuation for Waves in Asymptotically Anti-de Sitter Spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"gr-qc","authors_text":"Alex McGill, Arick Shao","submitted_at":"2020-08-17T15:41:38Z","abstract_excerpt":"We consider the question of whether solutions of Klein--Gordon equations on asymptotically Anti-de Sitter spacetimes can be uniquely continued from the conformal boundary. Positive answers were first given by the second author with G. Holzegel, under suitable assumptions on the boundary geometry and with boundary data imposed over a sufficiently long timespan. The key step was to establish Carleman estimates for Klein--Gordon operators near the conformal boundary.\n  In this article, we further improve upon the above-mentioned results. First, we establish new Carleman estimates---and hence new "},"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":"2008.07416","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-08-17T15:41:38Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"6a5a7a10e5111c5e663adb9ecabaf89a2c4e4d284fdfdc3e062ae05c1542913b","abstract_canon_sha256":"34be068faecec1ca05d07cf45923d97017eee14c4cd06b25723a26b4ea7058e8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:11:59.324768Z","signature_b64":"GWZOLJUvLyI9+DhnQaD4opijyGAnBk8pJOXveRu6DvImm96tE1EcDiDTZZf1oRwMoS1Ux06UZXDAfYIjHn6WBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"98752cb247af0be8c7172e983883b3675b67281417ee1f0469bfd73390ccedb6","last_reissued_at":"2026-07-05T02:11:59.324251Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:11:59.324251Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Null Geodesics and Improved Unique Continuation for Waves in Asymptotically Anti-de Sitter Spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"gr-qc","authors_text":"Alex McGill, Arick Shao","submitted_at":"2020-08-17T15:41:38Z","abstract_excerpt":"We consider the question of whether solutions of Klein--Gordon equations on asymptotically Anti-de Sitter spacetimes can be uniquely continued from the conformal boundary. Positive answers were first given by the second author with G. Holzegel, under suitable assumptions on the boundary geometry and with boundary data imposed over a sufficiently long timespan. The key step was to establish Carleman estimates for Klein--Gordon operators near the conformal boundary.\n  In this article, we further improve upon the above-mentioned results. First, we establish new Carleman estimates---and hence new "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.07416","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/2008.07416/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":"2008.07416","created_at":"2026-07-05T02:11:59.324338+00:00"},{"alias_kind":"arxiv_version","alias_value":"2008.07416v1","created_at":"2026-07-05T02:11:59.324338+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.07416","created_at":"2026-07-05T02:11:59.324338+00:00"},{"alias_kind":"pith_short_12","alias_value":"TB2SZMSHV4F6","created_at":"2026-07-05T02:11:59.324338+00:00"},{"alias_kind":"pith_short_16","alias_value":"TB2SZMSHV4F6RRYX","created_at":"2026-07-05T02:11:59.324338+00:00"},{"alias_kind":"pith_short_8","alias_value":"TB2SZMSH","created_at":"2026-07-05T02:11:59.324338+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/TB2SZMSHV4F6RRYXF2MDRA5TM5","json":"https://pith.science/pith/TB2SZMSHV4F6RRYXF2MDRA5TM5.json","graph_json":"https://pith.science/api/pith-number/TB2SZMSHV4F6RRYXF2MDRA5TM5/graph.json","events_json":"https://pith.science/api/pith-number/TB2SZMSHV4F6RRYXF2MDRA5TM5/events.json","paper":"https://pith.science/paper/TB2SZMSH"},"agent_actions":{"view_html":"https://pith.science/pith/TB2SZMSHV4F6RRYXF2MDRA5TM5","download_json":"https://pith.science/pith/TB2SZMSHV4F6RRYXF2MDRA5TM5.json","view_paper":"https://pith.science/paper/TB2SZMSH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2008.07416&json=true","fetch_graph":"https://pith.science/api/pith-number/TB2SZMSHV4F6RRYXF2MDRA5TM5/graph.json","fetch_events":"https://pith.science/api/pith-number/TB2SZMSHV4F6RRYXF2MDRA5TM5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TB2SZMSHV4F6RRYXF2MDRA5TM5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TB2SZMSHV4F6RRYXF2MDRA5TM5/action/storage_attestation","attest_author":"https://pith.science/pith/TB2SZMSHV4F6RRYXF2MDRA5TM5/action/author_attestation","sign_citation":"https://pith.science/pith/TB2SZMSHV4F6RRYXF2MDRA5TM5/action/citation_signature","submit_replication":"https://pith.science/pith/TB2SZMSHV4F6RRYXF2MDRA5TM5/action/replication_record"}},"created_at":"2026-07-05T02:11:59.324338+00:00","updated_at":"2026-07-05T02:11:59.324338+00:00"}