{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:QZ6SDX2PTFQ5LDIMEWJQFP5ZEV","short_pith_number":"pith:QZ6SDX2P","canonical_record":{"source":{"id":"1702.03415","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2017-02-11T12:09:17Z","cross_cats_sorted":[],"title_canon_sha256":"55a92bef0386eaaee20cf813bf54e24d2beb91d93cb4cc640eac1e67a7421c57","abstract_canon_sha256":"85980d6b283190cbc6202cabe3e266c39c805e7bc4745c0ad13d0d0ca0188b04"},"schema_version":"1.0"},"canonical_sha256":"867d21df4f9961d58d0c259302bfb9255e650b7c73600ec90b9a2d77123eb61b","source":{"kind":"arxiv","id":"1702.03415","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.03415","created_at":"2026-05-18T00:50:53Z"},{"alias_kind":"arxiv_version","alias_value":"1702.03415v1","created_at":"2026-05-18T00:50:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.03415","created_at":"2026-05-18T00:50:53Z"},{"alias_kind":"pith_short_12","alias_value":"QZ6SDX2PTFQ5","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QZ6SDX2PTFQ5LDIM","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QZ6SDX2P","created_at":"2026-05-18T12:31:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:QZ6SDX2PTFQ5LDIMEWJQFP5ZEV","target":"record","payload":{"canonical_record":{"source":{"id":"1702.03415","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2017-02-11T12:09:17Z","cross_cats_sorted":[],"title_canon_sha256":"55a92bef0386eaaee20cf813bf54e24d2beb91d93cb4cc640eac1e67a7421c57","abstract_canon_sha256":"85980d6b283190cbc6202cabe3e266c39c805e7bc4745c0ad13d0d0ca0188b04"},"schema_version":"1.0"},"canonical_sha256":"867d21df4f9961d58d0c259302bfb9255e650b7c73600ec90b9a2d77123eb61b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:53.838885Z","signature_b64":"CKC+4nGx8NPq58T8Y8i31x0cRqqqwqEmcbOQPQynnFWAOTB/BBGps9F6z0NGz2tsymAlDbcTfQlSELcWppLAAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"867d21df4f9961d58d0c259302bfb9255e650b7c73600ec90b9a2d77123eb61b","last_reissued_at":"2026-05-18T00:50:53.838360Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:53.838360Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.03415","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":"2026-05-18T00:50:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yMinAbakb1N7hN7M6fj6lxEdZkEqS9ow/yzd9AX6oMa4LuW/FZKVmMy5uSwxojYE8RX6/d0wuXg1/9QIwW5nAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T19:15:56.304750Z"},"content_sha256":"a101cce64539feddfcdcd696b265865c6530490b6d188823b34351feccf90f24","schema_version":"1.0","event_id":"sha256:a101cce64539feddfcdcd696b265865c6530490b6d188823b34351feccf90f24"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:QZ6SDX2PTFQ5LDIMEWJQFP5ZEV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Elastic Neumann-Poincar\\'e operators on three dimensional smooth domains: Polynomial compactness and spectral structure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SP","authors_text":"Hyeonbae Kang, Kazunori Ando, Yoshihisa Miyanishi","submitted_at":"2017-02-11T12:09:17Z","abstract_excerpt":"We prove that the elastic Neumann--Poincar\\'e operator defined on the smooth boundary of a bounded domain in three dimensions, which is known to be non-compact, is in fact polynomially compact. As a consequence, we prove that the spectrum of the elastic Neumann-Poincar\\'e operator consists of three non-empty sequences of eigenvalues accumulating to certain numbers determined by Lam\\'e parameters. These results are proved using the surface Riesz transform, calculus of pseudo-differential operators and the spectral mapping theorem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.03415","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":"2026-05-18T00:50:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QKjaW8FoF4beGiInBirBMfiQvLbfYd4WYD296LkE7v1ceNjqhV9kok0qObDpRWy4VAoC0i/1BCoVSpWy61TTAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T19:15:56.305335Z"},"content_sha256":"f59244c5f2e79133178751d47a466ed3c6832fc400b14afd871933829888bee5","schema_version":"1.0","event_id":"sha256:f59244c5f2e79133178751d47a466ed3c6832fc400b14afd871933829888bee5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QZ6SDX2PTFQ5LDIMEWJQFP5ZEV/bundle.json","state_url":"https://pith.science/pith/QZ6SDX2PTFQ5LDIMEWJQFP5ZEV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QZ6SDX2PTFQ5LDIMEWJQFP5ZEV/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":"2026-05-27T19:15:56Z","links":{"resolver":"https://pith.science/pith/QZ6SDX2PTFQ5LDIMEWJQFP5ZEV","bundle":"https://pith.science/pith/QZ6SDX2PTFQ5LDIMEWJQFP5ZEV/bundle.json","state":"https://pith.science/pith/QZ6SDX2PTFQ5LDIMEWJQFP5ZEV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QZ6SDX2PTFQ5LDIMEWJQFP5ZEV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:QZ6SDX2PTFQ5LDIMEWJQFP5ZEV","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":"85980d6b283190cbc6202cabe3e266c39c805e7bc4745c0ad13d0d0ca0188b04","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2017-02-11T12:09:17Z","title_canon_sha256":"55a92bef0386eaaee20cf813bf54e24d2beb91d93cb4cc640eac1e67a7421c57"},"schema_version":"1.0","source":{"id":"1702.03415","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.03415","created_at":"2026-05-18T00:50:53Z"},{"alias_kind":"arxiv_version","alias_value":"1702.03415v1","created_at":"2026-05-18T00:50:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.03415","created_at":"2026-05-18T00:50:53Z"},{"alias_kind":"pith_short_12","alias_value":"QZ6SDX2PTFQ5","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QZ6SDX2PTFQ5LDIM","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QZ6SDX2P","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:f59244c5f2e79133178751d47a466ed3c6832fc400b14afd871933829888bee5","target":"graph","created_at":"2026-05-18T00:50:53Z","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 prove that the elastic Neumann--Poincar\\'e operator defined on the smooth boundary of a bounded domain in three dimensions, which is known to be non-compact, is in fact polynomially compact. As a consequence, we prove that the spectrum of the elastic Neumann-Poincar\\'e operator consists of three non-empty sequences of eigenvalues accumulating to certain numbers determined by Lam\\'e parameters. These results are proved using the surface Riesz transform, calculus of pseudo-differential operators and the spectral mapping theorem.","authors_text":"Hyeonbae Kang, Kazunori Ando, Yoshihisa Miyanishi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2017-02-11T12:09:17Z","title":"Elastic Neumann-Poincar\\'e operators on three dimensional smooth domains: Polynomial compactness and spectral structure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.03415","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:a101cce64539feddfcdcd696b265865c6530490b6d188823b34351feccf90f24","target":"record","created_at":"2026-05-18T00:50:53Z","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":"85980d6b283190cbc6202cabe3e266c39c805e7bc4745c0ad13d0d0ca0188b04","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2017-02-11T12:09:17Z","title_canon_sha256":"55a92bef0386eaaee20cf813bf54e24d2beb91d93cb4cc640eac1e67a7421c57"},"schema_version":"1.0","source":{"id":"1702.03415","kind":"arxiv","version":1}},"canonical_sha256":"867d21df4f9961d58d0c259302bfb9255e650b7c73600ec90b9a2d77123eb61b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"867d21df4f9961d58d0c259302bfb9255e650b7c73600ec90b9a2d77123eb61b","first_computed_at":"2026-05-18T00:50:53.838360Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:53.838360Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CKC+4nGx8NPq58T8Y8i31x0cRqqqwqEmcbOQPQynnFWAOTB/BBGps9F6z0NGz2tsymAlDbcTfQlSELcWppLAAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:53.838885Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.03415","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a101cce64539feddfcdcd696b265865c6530490b6d188823b34351feccf90f24","sha256:f59244c5f2e79133178751d47a466ed3c6832fc400b14afd871933829888bee5"],"state_sha256":"973fafc7b023e0300ef30c9b2e57b7740c63416ebcd5068ff07fc76af6fb2438"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+hwJXNE+yozQe+zhbr8yjSuBcD2W5zYtYpvOmFsutfQOLADlTofQ0IASOOcEmUl9Xe6lGJl9gmy+rVhFJ38aBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T19:15:56.307525Z","bundle_sha256":"af2e4579cc2956d9aff4d5d095b27d265f547bb2ae222efea120514588bb6820"}}