{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:X3O2SF3R3NGFFSYRPZWNUNGFXO","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":"93a74f96f5c5f982abb8ad1a80296af821063e2f03042aee89df91aad3b962b1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-02-11T03:26:49Z","title_canon_sha256":"e30db3361ffd2f8705619533af049193f79c334cb78da94ef4a206867c615d16"},"schema_version":"1.0","source":{"id":"1802.03687","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.03687","created_at":"2026-05-18T00:23:50Z"},{"alias_kind":"arxiv_version","alias_value":"1802.03687v1","created_at":"2026-05-18T00:23:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.03687","created_at":"2026-05-18T00:23:50Z"},{"alias_kind":"pith_short_12","alias_value":"X3O2SF3R3NGF","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"X3O2SF3R3NGFFSYR","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"X3O2SF3R","created_at":"2026-05-18T12:33:01Z"}],"graph_snapshots":[{"event_id":"sha256:e32c94f9fbb8791e47fe02fdb64f55a8da9f4b59152439237fc4d1692e810aed","target":"graph","created_at":"2026-05-18T00:23:50Z","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":"The goal of this paper is to develop numerical methods computing a few smallest elasticity transmission eigenvalues, which are of practical importance in inverse scattering theory. The problem is challenging since it is nonlinear, non-self-adjoint, and of fourth order. We construct a nonlinear function whose values are generalized eigenvalues of a series of self-adjoint fourth order problems. The roots of the function are the transmission eigenvalues. Using an $H^2$-conforming finite element for the self-adjoint fourth order eigenvalue problems, we employ a secant method to compute the roots o","authors_text":"Jiguang Sun, Peijun Li, Xia Ji","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-02-11T03:26:49Z","title":"Computation of Transmission Eigenvalues for Elastic Waves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.03687","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:a0487f57396631fe5c60219d7c6bd91267040128860fa85d8656ca40fcf52f43","target":"record","created_at":"2026-05-18T00:23:50Z","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":"93a74f96f5c5f982abb8ad1a80296af821063e2f03042aee89df91aad3b962b1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-02-11T03:26:49Z","title_canon_sha256":"e30db3361ffd2f8705619533af049193f79c334cb78da94ef4a206867c615d16"},"schema_version":"1.0","source":{"id":"1802.03687","kind":"arxiv","version":1}},"canonical_sha256":"bedda91771db4c52cb117e6cda34c5bb82b596ba286e34cbb420705c24a29891","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bedda91771db4c52cb117e6cda34c5bb82b596ba286e34cbb420705c24a29891","first_computed_at":"2026-05-18T00:23:50.767912Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:50.767912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xWacXYZp+VdNv7w/JD8cS7wZfJ0fUqvuugL9uhrybIcYXlcozPuAHT6mibNOHIrLRQgW53WlcbDYFYbjo/KnBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:50.768541Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.03687","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a0487f57396631fe5c60219d7c6bd91267040128860fa85d8656ca40fcf52f43","sha256:e32c94f9fbb8791e47fe02fdb64f55a8da9f4b59152439237fc4d1692e810aed"],"state_sha256":"dfccb73c2788cab990e891d477a307c566a45789974d2e7651933c412c8a22df"}