{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:PU3JXPR43VJZ54ATK7NT23IB5D","short_pith_number":"pith:PU3JXPR4","canonical_record":{"source":{"id":"1701.04668","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-01-17T13:53:05Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"6f1ce4a970f2a986d7569b02689367c516cef250bc5816a33ae2453c7b6816f1","abstract_canon_sha256":"279e9ff72f5071a752395d77ad90cf8f76ad5ef86bda0a03ba43cd628d960312"},"schema_version":"1.0"},"canonical_sha256":"7d369bbe3cdd539ef01357db3d6d01e8fa1fe8dd9361f93cb45b7017d8a438cf","source":{"kind":"arxiv","id":"1701.04668","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.04668","created_at":"2026-05-18T00:47:48Z"},{"alias_kind":"arxiv_version","alias_value":"1701.04668v3","created_at":"2026-05-18T00:47:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.04668","created_at":"2026-05-18T00:47:48Z"},{"alias_kind":"pith_short_12","alias_value":"PU3JXPR43VJZ","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"PU3JXPR43VJZ54AT","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"PU3JXPR4","created_at":"2026-05-18T12:31:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:PU3JXPR43VJZ54ATK7NT23IB5D","target":"record","payload":{"canonical_record":{"source":{"id":"1701.04668","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-01-17T13:53:05Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"6f1ce4a970f2a986d7569b02689367c516cef250bc5816a33ae2453c7b6816f1","abstract_canon_sha256":"279e9ff72f5071a752395d77ad90cf8f76ad5ef86bda0a03ba43cd628d960312"},"schema_version":"1.0"},"canonical_sha256":"7d369bbe3cdd539ef01357db3d6d01e8fa1fe8dd9361f93cb45b7017d8a438cf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:48.403399Z","signature_b64":"VacuRfupCbb/DHb9HrwRDHz6lqZu0gBkeINDfLeb0KdoTHuMO8Jf5HL90cvNXeoxd8a5pm9VorSdPaCw3T7gDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7d369bbe3cdd539ef01357db3d6d01e8fa1fe8dd9361f93cb45b7017d8a438cf","last_reissued_at":"2026-05-18T00:47:48.402668Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:48.402668Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.04668","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:47:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CwLlrsj1Q5g9smbohyeezY3Odq3BmlXlUVXOl+IewIjeiShZF/KogXkWdnMn+UonwjczVzqzJfSD35DvpxumCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T06:26:02.034859Z"},"content_sha256":"8ce4b816ea1179a78b5eec4e4e752e75d6f6f494bb7cc808c31437ed58fb25b2","schema_version":"1.0","event_id":"sha256:8ce4b816ea1179a78b5eec4e4e752e75d6f6f494bb7cc808c31437ed58fb25b2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:PU3JXPR43VJZ54ATK7NT23IB5D","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"High-frequency approximation of the interior dirichlet-to-neumann map and applications to the transmission eigenvalues","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Georgi Vodev (LMJL)","submitted_at":"2017-01-17T13:53:05Z","abstract_excerpt":"We study the high-frequency behavior of the Dirichlet-to-Neumann map for an arbitrary compact Riemannian manifold with a non-empty smooth boundary. We show that far from the real axis it can be approximated by a simpler operator. We use this fact to get new results concerning the location of the transmission eigenvalues on the complex plane. In some cases we obtain optimal transmission eigenvalue-free regions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.04668","kind":"arxiv","version":3},"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":"2026-05-18T00:47:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uvxen/mYCtoKarjMCKW12AkXaTo5lvOd2qoxuH2mbrL5CzCQ3wg2niytBZvXl7xrA+fWuekasl5furNpFJ0WAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T06:26:02.035578Z"},"content_sha256":"40662a6d3a695ed3d23b2ab4a4844ffdf6430f5082b80305661fab5d9107f4f2","schema_version":"1.0","event_id":"sha256:40662a6d3a695ed3d23b2ab4a4844ffdf6430f5082b80305661fab5d9107f4f2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PU3JXPR43VJZ54ATK7NT23IB5D/bundle.json","state_url":"https://pith.science/pith/PU3JXPR43VJZ54ATK7NT23IB5D/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PU3JXPR43VJZ54ATK7NT23IB5D/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":"2026-06-08T06:26:02Z","links":{"resolver":"https://pith.science/pith/PU3JXPR43VJZ54ATK7NT23IB5D","bundle":"https://pith.science/pith/PU3JXPR43VJZ54ATK7NT23IB5D/bundle.json","state":"https://pith.science/pith/PU3JXPR43VJZ54ATK7NT23IB5D/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PU3JXPR43VJZ54ATK7NT23IB5D/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:PU3JXPR43VJZ54ATK7NT23IB5D","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":"279e9ff72f5071a752395d77ad90cf8f76ad5ef86bda0a03ba43cd628d960312","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-01-17T13:53:05Z","title_canon_sha256":"6f1ce4a970f2a986d7569b02689367c516cef250bc5816a33ae2453c7b6816f1"},"schema_version":"1.0","source":{"id":"1701.04668","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.04668","created_at":"2026-05-18T00:47:48Z"},{"alias_kind":"arxiv_version","alias_value":"1701.04668v3","created_at":"2026-05-18T00:47:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.04668","created_at":"2026-05-18T00:47:48Z"},{"alias_kind":"pith_short_12","alias_value":"PU3JXPR43VJZ","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"PU3JXPR43VJZ54AT","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"PU3JXPR4","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:40662a6d3a695ed3d23b2ab4a4844ffdf6430f5082b80305661fab5d9107f4f2","target":"graph","created_at":"2026-05-18T00:47:48Z","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 study the high-frequency behavior of the Dirichlet-to-Neumann map for an arbitrary compact Riemannian manifold with a non-empty smooth boundary. We show that far from the real axis it can be approximated by a simpler operator. We use this fact to get new results concerning the location of the transmission eigenvalues on the complex plane. In some cases we obtain optimal transmission eigenvalue-free regions.","authors_text":"Georgi Vodev (LMJL)","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-01-17T13:53:05Z","title":"High-frequency approximation of the interior dirichlet-to-neumann map and applications to the transmission eigenvalues"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.04668","kind":"arxiv","version":3},"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":"sha256:8ce4b816ea1179a78b5eec4e4e752e75d6f6f494bb7cc808c31437ed58fb25b2","target":"record","created_at":"2026-05-18T00:47:48Z","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":"279e9ff72f5071a752395d77ad90cf8f76ad5ef86bda0a03ba43cd628d960312","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-01-17T13:53:05Z","title_canon_sha256":"6f1ce4a970f2a986d7569b02689367c516cef250bc5816a33ae2453c7b6816f1"},"schema_version":"1.0","source":{"id":"1701.04668","kind":"arxiv","version":3}},"canonical_sha256":"7d369bbe3cdd539ef01357db3d6d01e8fa1fe8dd9361f93cb45b7017d8a438cf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d369bbe3cdd539ef01357db3d6d01e8fa1fe8dd9361f93cb45b7017d8a438cf","first_computed_at":"2026-05-18T00:47:48.402668Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:47:48.402668Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VacuRfupCbb/DHb9HrwRDHz6lqZu0gBkeINDfLeb0KdoTHuMO8Jf5HL90cvNXeoxd8a5pm9VorSdPaCw3T7gDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:47:48.403399Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.04668","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ce4b816ea1179a78b5eec4e4e752e75d6f6f494bb7cc808c31437ed58fb25b2","sha256:40662a6d3a695ed3d23b2ab4a4844ffdf6430f5082b80305661fab5d9107f4f2"],"state_sha256":"23022f41716ebb1e3f8ab87087b83bbb186544eb4793b69ffd380f9bc63113c7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AsPBHCDphMqDyi0/KdHQN71fsfp8wtmLfPM6/+WxMaK2Oz6tZ2gnmzsTHpS1aIdWLb681HmnZAM/QqEDcYn4Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T06:26:02.039668Z","bundle_sha256":"301fccd01a2e75111f488a0f3f2ea225974a08d542c3058c29ffa35071860dda"}}