{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:ZZJKGNN2J6BSWXI7NOMFXBKRPZ","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":"9c86f100b0c9e7ae6852635055c6007a45adcd46fe66a0f9c5eb4885ce682fd9","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-06-14T12:08:32Z","title_canon_sha256":"5f368a9c06db02b01899ff5695e7fc7081e99a3c124715e03ee079588077724c"},"schema_version":"1.0","source":{"id":"1906.06152","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.06152","created_at":"2026-05-17T23:43:19Z"},{"alias_kind":"arxiv_version","alias_value":"1906.06152v1","created_at":"2026-05-17T23:43:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.06152","created_at":"2026-05-17T23:43:19Z"},{"alias_kind":"pith_short_12","alias_value":"ZZJKGNN2J6BS","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"ZZJKGNN2J6BSWXI7","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"ZZJKGNN2","created_at":"2026-05-18T12:33:33Z"}],"graph_snapshots":[{"event_id":"sha256:b0f5896c0d819b5e496489734eeec6ffaa5e85a50a9b2872c1df9ad42c2172b3","target":"graph","created_at":"2026-05-17T23:43:19Z","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 invisibility via anomalous localized resonance of a general source for electromagnetic waves in the setting of doubly complementary media. As a result, we show that cloaking is achieved if the power is blown up. We also reveal a critical length for the invisibility of a source that occurs when the plasmonic structure is complementary to an annulus of constant, isotropic medium.","authors_text":"Hoai-Minh Nguyen","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-06-14T12:08:32Z","title":"The invisibility via anomalous localized resonance of a source for electromagnetic waves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.06152","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":"sha256:541005007619e0f095687194b219c1b0f5f153669785769c84d9f67129a85c86","target":"record","created_at":"2026-05-17T23:43:19Z","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":"9c86f100b0c9e7ae6852635055c6007a45adcd46fe66a0f9c5eb4885ce682fd9","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-06-14T12:08:32Z","title_canon_sha256":"5f368a9c06db02b01899ff5695e7fc7081e99a3c124715e03ee079588077724c"},"schema_version":"1.0","source":{"id":"1906.06152","kind":"arxiv","version":1}},"canonical_sha256":"ce52a335ba4f832b5d1f6b985b85517e7f520e989690ac0b88ec94d48b79ea08","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ce52a335ba4f832b5d1f6b985b85517e7f520e989690ac0b88ec94d48b79ea08","first_computed_at":"2026-05-17T23:43:19.570974Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:19.570974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YOmH6Qa2SRMw1g6THyA8QqZ4009+jSrXzrxR4N45uCDopbLOuOXsTzMu92QL0xgIjNUZgpmZhuPY6K9SiNzeBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:19.571456Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.06152","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:541005007619e0f095687194b219c1b0f5f153669785769c84d9f67129a85c86","sha256:b0f5896c0d819b5e496489734eeec6ffaa5e85a50a9b2872c1df9ad42c2172b3"],"state_sha256":"bee67536ea0b620746242acaec8d18a0671e28e7f0b446b0674015c9750aebbb"}