{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:2JAG2FYRTC45X6H4B3QNQVADAO","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":"3ae6722c6248719c3a284734149b83cccf191eefa47a99f2973f6606d7621a0f","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-02-13T17:42:44Z","title_canon_sha256":"33e46b485f5dd8e3fe410b5ef9496844159eda3572396a601275c19d68509b89"},"schema_version":"1.0","source":{"id":"1202.2802","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.2802","created_at":"2026-05-18T03:41:12Z"},{"alias_kind":"arxiv_version","alias_value":"1202.2802v3","created_at":"2026-05-18T03:41:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.2802","created_at":"2026-05-18T03:41:12Z"},{"alias_kind":"pith_short_12","alias_value":"2JAG2FYRTC45","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2JAG2FYRTC45X6H4","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2JAG2FYR","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:60bfa010598142a6d00b37ae6ed00fc89c6ca792829abf82e60bc6f396240d45","target":"graph","created_at":"2026-05-18T03:41:12Z","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":"Invisibility cloaking in acoustic scattering via the approach of transformation optics is considered. The near-cloaks of both passive medium and active/radiating object are investigated. From a practical viewpoint, we are especially interested in the cloaking of an arbitrary (but regular) content. It is shown that one cannot achieve the near-cloak unless some special mechanism is introduced into the construction. A general lossy layer is incorporated into the construction of our near-cloaking devices. We derive very accurate estimates of the scattering amplitude in terms of the regularization ","authors_text":"Hongyu Liu","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-02-13T17:42:44Z","title":"On Near-cloak in Acoustic Scattering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.2802","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:ecd18e834e5b8b8528bb4ea74662c3e295b88cd4450f3517d1b9319494ed702b","target":"record","created_at":"2026-05-18T03:41:12Z","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":"3ae6722c6248719c3a284734149b83cccf191eefa47a99f2973f6606d7621a0f","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-02-13T17:42:44Z","title_canon_sha256":"33e46b485f5dd8e3fe410b5ef9496844159eda3572396a601275c19d68509b89"},"schema_version":"1.0","source":{"id":"1202.2802","kind":"arxiv","version":3}},"canonical_sha256":"d2406d171198b9dbf8fc0ee0d85403038e2e233f8b76bc94f7feffafc9c9ad89","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d2406d171198b9dbf8fc0ee0d85403038e2e233f8b76bc94f7feffafc9c9ad89","first_computed_at":"2026-05-18T03:41:12.566678Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:41:12.566678Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qvMyyKfVdViZbuTH2KqB61S1SYseT6+uhM/LpPH3WBQzMcCKgUonV6OZtM/TDEzkVHpJJvQLtIEku8CpcxJxDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:41:12.567354Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.2802","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ecd18e834e5b8b8528bb4ea74662c3e295b88cd4450f3517d1b9319494ed702b","sha256:60bfa010598142a6d00b37ae6ed00fc89c6ca792829abf82e60bc6f396240d45"],"state_sha256":"e51d2652da0d04da6c30ebe96d4f762700e319c7cd1ca935d378336a0f5a6e8b"}