{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:5CLBTESFAYMDWQLV5XW54Z265D","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":"8bf37a4ab0b19f8ff3bf4d574709769be6d963ca3739ac68ea399cbf3652ecd0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-10-14T15:51:15Z","title_canon_sha256":"123fe8d7d4ff8088aadb316c2b573022c57e76edf85c6921f94b6478436e8608"},"schema_version":"1.0","source":{"id":"1410.3737","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.3737","created_at":"2026-05-18T01:30:55Z"},{"alias_kind":"arxiv_version","alias_value":"1410.3737v1","created_at":"2026-05-18T01:30:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.3737","created_at":"2026-05-18T01:30:55Z"},{"alias_kind":"pith_short_12","alias_value":"5CLBTESFAYMD","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"5CLBTESFAYMDWQLV","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"5CLBTESF","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:3a8c2ef91819ce8061c4271ccae44c9cf0acc2f2706c1ee615904d4184479b77","target":"graph","created_at":"2026-05-18T01:30:55Z","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":"In this paper we consider the inverse acoustic scattering (in \\mathbb{R}^3) or electromagnetic scattering (in \\mathbb{R}^2, for the scalar TE-polarization case) problem of reconstructing possibly multiple defective penetrable regions in a known anisotropic material of compact support. We develop the factorization method for a non-absorbing anisotropic background media containing penetrable defects. In particular, under appropriate assumptions on the anisotropic material properties of the media we develop a rigorous characterization for the support of the defective regions from the given far fi","authors_text":"Fioralba Cakoni, Isaac Harris","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-10-14T15:51:15Z","title":"The factorization method for a defective region in an anisotropic material"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.3737","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":"sha256:5bd6c1352112540ca0efe25ffc2a893668412f0582d057daf3cb94f5de8fb9cd","target":"record","created_at":"2026-05-18T01:30:55Z","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":"8bf37a4ab0b19f8ff3bf4d574709769be6d963ca3739ac68ea399cbf3652ecd0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-10-14T15:51:15Z","title_canon_sha256":"123fe8d7d4ff8088aadb316c2b573022c57e76edf85c6921f94b6478436e8608"},"schema_version":"1.0","source":{"id":"1410.3737","kind":"arxiv","version":1}},"canonical_sha256":"e89619924506183b4175ededde675ee8da29647a7696c0ae17653ca9dd03a98c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e89619924506183b4175ededde675ee8da29647a7696c0ae17653ca9dd03a98c","first_computed_at":"2026-05-18T01:30:55.443941Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:30:55.443941Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c+Er5/42tJrqX/v9GzipfpH35Czj1cQihuqnXtQuo+enOpUWyuXOJfCK+BXmyox7mHeicmgdnjl5ntcHaeD7Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:30:55.444353Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.3737","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5bd6c1352112540ca0efe25ffc2a893668412f0582d057daf3cb94f5de8fb9cd","sha256:3a8c2ef91819ce8061c4271ccae44c9cf0acc2f2706c1ee615904d4184479b77"],"state_sha256":"1704d8265855db9d3e604403d65899918e6180ad1ea37dfe26dcb894e9350eed"}