{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:DXG4L6D5WRSEF5ZTYKAH4VALZX","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":"a36309a67d0f30135a29307b547d089168c9b43c3d9b4fca6036d8155a381163","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-11-25T13:26:02Z","title_canon_sha256":"32421b4f61ee58809a33e32dc993717c955d85d99b3b71b21088bc1f2d951021"},"schema_version":"1.0","source":{"id":"1511.08053","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.08053","created_at":"2026-05-18T01:26:01Z"},{"alias_kind":"arxiv_version","alias_value":"1511.08053v1","created_at":"2026-05-18T01:26:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.08053","created_at":"2026-05-18T01:26:01Z"},{"alias_kind":"pith_short_12","alias_value":"DXG4L6D5WRSE","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DXG4L6D5WRSEF5ZT","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DXG4L6D5","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:955f1b1ffe1a738bcaa1af7208b2ee0dd1181b862b177825e495203535add900","target":"graph","created_at":"2026-05-18T01:26:01Z","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":"Cloaking a source via anomalous localized resonance (ALR) was discovered by Milton and Nicorovici in \\cite{MiltonNicorovici}. A general setting in which cloaking a source via ALR takes place is the settting of doubly complementary media. This was introduced and studied in \\cite{Ng-CALR} for the quasistatic regime. In this paper, we study cloaking a source via ALR for doubly complementary media in the finite frequency regime as a natural continuation of \\cite{Ng-CALR}. We establish the following results: 1) Cloaking a source via ALR appears if and only if the power blows up; 2) The power blows ","authors_text":"Hoai-Minh Nguyen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-11-25T13:26:02Z","title":"Cloaking via anomalous localized resonance for doubly complementary media in the finite frequency regime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.08053","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:d2f8a94ce80cd98c7025d08391d7cdd07ecaad7b89aa8948297b16a6d0250859","target":"record","created_at":"2026-05-18T01:26:01Z","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":"a36309a67d0f30135a29307b547d089168c9b43c3d9b4fca6036d8155a381163","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-11-25T13:26:02Z","title_canon_sha256":"32421b4f61ee58809a33e32dc993717c955d85d99b3b71b21088bc1f2d951021"},"schema_version":"1.0","source":{"id":"1511.08053","kind":"arxiv","version":1}},"canonical_sha256":"1dcdc5f87db46442f733c2807e540bcdecefd0b13a5bd8ab3f5606806fad8e7c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1dcdc5f87db46442f733c2807e540bcdecefd0b13a5bd8ab3f5606806fad8e7c","first_computed_at":"2026-05-18T01:26:01.882066Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:26:01.882066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SvL47WALB5pihzdS99AfAnNi5MkyiNYskNEkdeNa8Ddn/jInjtYDPfBtp4NBUQhXNYjUpd3HBM1wrAIjemiHBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:26:01.882603Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.08053","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2f8a94ce80cd98c7025d08391d7cdd07ecaad7b89aa8948297b16a6d0250859","sha256:955f1b1ffe1a738bcaa1af7208b2ee0dd1181b862b177825e495203535add900"],"state_sha256":"232a63627281cebeda0682797cf90d5ce4f3afdfa42de86ca236389e9fdff01f"}