{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:DWIGYUWT3RQHCMSHSRMHUGYCJJ","short_pith_number":"pith:DWIGYUWT","canonical_record":{"source":{"id":"1511.05891","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-11-18T17:38:21Z","cross_cats_sorted":["math.SP"],"title_canon_sha256":"57e22c0d7877a4a8a0c62a54ee96fd90d19430a749805eb43d23ee7611d81ed5","abstract_canon_sha256":"2bc024c1d1b775ec0731b8fcad2f92518eab6b27ae9f282b2a568858ee359aba"},"schema_version":"1.0"},"canonical_sha256":"1d906c52d3dc6071324794587a1b024a74d6e34e4d55ef9185db8bea5dcc06ba","source":{"kind":"arxiv","id":"1511.05891","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.05891","created_at":"2026-05-18T01:26:32Z"},{"alias_kind":"arxiv_version","alias_value":"1511.05891v1","created_at":"2026-05-18T01:26:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.05891","created_at":"2026-05-18T01:26:32Z"},{"alias_kind":"pith_short_12","alias_value":"DWIGYUWT3RQH","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DWIGYUWT3RQHCMSH","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DWIGYUWT","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:DWIGYUWT3RQHCMSHSRMHUGYCJJ","target":"record","payload":{"canonical_record":{"source":{"id":"1511.05891","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-11-18T17:38:21Z","cross_cats_sorted":["math.SP"],"title_canon_sha256":"57e22c0d7877a4a8a0c62a54ee96fd90d19430a749805eb43d23ee7611d81ed5","abstract_canon_sha256":"2bc024c1d1b775ec0731b8fcad2f92518eab6b27ae9f282b2a568858ee359aba"},"schema_version":"1.0"},"canonical_sha256":"1d906c52d3dc6071324794587a1b024a74d6e34e4d55ef9185db8bea5dcc06ba","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:26:32.361099Z","signature_b64":"tu/R/0NGwdKNUfs1J7qA1LIF3fZfczNSFMeHbObSD2+q34tYZ6XHsSkHY2DJSJv9gu0GT5DmNvqoM8/gd4fIAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1d906c52d3dc6071324794587a1b024a74d6e34e4d55ef9185db8bea5dcc06ba","last_reissued_at":"2026-05-18T01:26:32.359936Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:26:32.359936Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.05891","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:26:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rEnsCQjwLWD6Wpg+d9J3j64BUJGCrqjcDXTXgBE/8+2D0m8iVckFFTXmqGLPjzo82BzpOxbsFb4pITNCLiMPBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T15:25:32.566108Z"},"content_sha256":"84817d70a5f7002b35ed5414a0fa45ab725bec707f6f1d23bb8ad1ec1acf1e71","schema_version":"1.0","event_id":"sha256:84817d70a5f7002b35ed5414a0fa45ab725bec707f6f1d23bb8ad1ec1acf1e71"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:DWIGYUWT3RQHCMSHSRMHUGYCJJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"High Energy Resolvent Estimates on Conformally Compact Manifolds with Variable Curvature at Infinity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SP"],"primary_cat":"math.AP","authors_text":"Antonio Sa Barreto, Yiran Wang","submitted_at":"2015-11-18T17:38:21Z","abstract_excerpt":"We construct a semiclassical parametrix for the resolvent of the Laplacian acing on functions on non-trapping conformally compact manifolds with variable sectional curvature at infinity, we use it to prove high energy resolvent estimates and to show existence of resonance free strips of arbitrary height away from the imaginary axis. We then use the results of Datchev and Vasy on gluing semiclassical resolvent estimates to extend these results to conformally compact manifolds with normal hyperbolic trapping."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.05891","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":""},"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":"2026-05-18T01:26:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hJRQGptXMO0zUrwHlJSrugUXdDvNXlRa0HRaDLl2FZM02qZEQFX6offykN6bU7Fcqb/JSZKk7JULH/X6H+qACg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T15:25:32.566804Z"},"content_sha256":"70cd9496a316045de955d1fe241d4f397d97be4497838c7cbcd24e5d949f1cbe","schema_version":"1.0","event_id":"sha256:70cd9496a316045de955d1fe241d4f397d97be4497838c7cbcd24e5d949f1cbe"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DWIGYUWT3RQHCMSHSRMHUGYCJJ/bundle.json","state_url":"https://pith.science/pith/DWIGYUWT3RQHCMSHSRMHUGYCJJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DWIGYUWT3RQHCMSHSRMHUGYCJJ/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":"2026-05-24T15:25:32Z","links":{"resolver":"https://pith.science/pith/DWIGYUWT3RQHCMSHSRMHUGYCJJ","bundle":"https://pith.science/pith/DWIGYUWT3RQHCMSHSRMHUGYCJJ/bundle.json","state":"https://pith.science/pith/DWIGYUWT3RQHCMSHSRMHUGYCJJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DWIGYUWT3RQHCMSHSRMHUGYCJJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:DWIGYUWT3RQHCMSHSRMHUGYCJJ","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":"2bc024c1d1b775ec0731b8fcad2f92518eab6b27ae9f282b2a568858ee359aba","cross_cats_sorted":["math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-11-18T17:38:21Z","title_canon_sha256":"57e22c0d7877a4a8a0c62a54ee96fd90d19430a749805eb43d23ee7611d81ed5"},"schema_version":"1.0","source":{"id":"1511.05891","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.05891","created_at":"2026-05-18T01:26:32Z"},{"alias_kind":"arxiv_version","alias_value":"1511.05891v1","created_at":"2026-05-18T01:26:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.05891","created_at":"2026-05-18T01:26:32Z"},{"alias_kind":"pith_short_12","alias_value":"DWIGYUWT3RQH","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DWIGYUWT3RQHCMSH","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DWIGYUWT","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:70cd9496a316045de955d1fe241d4f397d97be4497838c7cbcd24e5d949f1cbe","target":"graph","created_at":"2026-05-18T01:26:32Z","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":"We construct a semiclassical parametrix for the resolvent of the Laplacian acing on functions on non-trapping conformally compact manifolds with variable sectional curvature at infinity, we use it to prove high energy resolvent estimates and to show existence of resonance free strips of arbitrary height away from the imaginary axis. We then use the results of Datchev and Vasy on gluing semiclassical resolvent estimates to extend these results to conformally compact manifolds with normal hyperbolic trapping.","authors_text":"Antonio Sa Barreto, Yiran Wang","cross_cats":["math.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-11-18T17:38:21Z","title":"High Energy Resolvent Estimates on Conformally Compact Manifolds with Variable Curvature at Infinity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.05891","kind":"arxiv","version":1},"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":"sha256:84817d70a5f7002b35ed5414a0fa45ab725bec707f6f1d23bb8ad1ec1acf1e71","target":"record","created_at":"2026-05-18T01:26:32Z","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":"2bc024c1d1b775ec0731b8fcad2f92518eab6b27ae9f282b2a568858ee359aba","cross_cats_sorted":["math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-11-18T17:38:21Z","title_canon_sha256":"57e22c0d7877a4a8a0c62a54ee96fd90d19430a749805eb43d23ee7611d81ed5"},"schema_version":"1.0","source":{"id":"1511.05891","kind":"arxiv","version":1}},"canonical_sha256":"1d906c52d3dc6071324794587a1b024a74d6e34e4d55ef9185db8bea5dcc06ba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d906c52d3dc6071324794587a1b024a74d6e34e4d55ef9185db8bea5dcc06ba","first_computed_at":"2026-05-18T01:26:32.359936Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:26:32.359936Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tu/R/0NGwdKNUfs1J7qA1LIF3fZfczNSFMeHbObSD2+q34tYZ6XHsSkHY2DJSJv9gu0GT5DmNvqoM8/gd4fIAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:26:32.361099Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.05891","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:84817d70a5f7002b35ed5414a0fa45ab725bec707f6f1d23bb8ad1ec1acf1e71","sha256:70cd9496a316045de955d1fe241d4f397d97be4497838c7cbcd24e5d949f1cbe"],"state_sha256":"d8830d2a3aa207c0b2e4d072adce3de40ec1cf8804f3b155d83a5e6584ecefbb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HxXPwcTefBiNj9auoEWdBkxURVIMnF98jc/zerpEK16XHB+jpBKtqtjKSvO4I5TH/UvPZnV+Hqw4O02225S8Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T15:25:32.569797Z","bundle_sha256":"edc790276cf3140690b15bef357543875e8e2353eda505d4810ee8730b546734"}}