{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:BBDVLEUZ47L5VKLUDMETUCAQMW","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":"c1a850dad3c29f65fff601c6ca0388004adfa460c5c0fbe9e97cecf4748e2da0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-03-28T14:15:01Z","title_canon_sha256":"9c35554da65dc8efdad82973bf8efc5d68330a7ebb0d266242610974d280b578"},"schema_version":"1.0","source":{"id":"1303.7130","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.7130","created_at":"2026-05-17T23:53:35Z"},{"alias_kind":"arxiv_version","alias_value":"1303.7130v1","created_at":"2026-05-17T23:53:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.7130","created_at":"2026-05-17T23:53:35Z"},{"alias_kind":"pith_short_12","alias_value":"BBDVLEUZ47L5","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"BBDVLEUZ47L5VKLU","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"BBDVLEUZ","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:93aabf23038e566045f6b9db73382d4319c411e908a754eca100bcb6a8c6d1a6","target":"graph","created_at":"2026-05-17T23:53:35Z","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 consider the problem of neutral inclusions for two-dimensional conductivity and anti-plane elasticity. The neutral inclusion, when inserted in a matrix having a uniform field, does not disturb the field outside the inclusion. The inclusion consists of a core and a shell. We show that if the inclusion is neutral to two linearly independent fields, then the core and the shell are confocal ellipses.","authors_text":"Hyeonbae Kang, Hyundae Lee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-03-28T14:15:01Z","title":"Coated inclusions of finite conductivity neutral to multiple fields in two dimensional conductivity or anti-plane elasticity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.7130","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":"sha256:393e9e582d660c685429a7dcfd03014554aab95ec9754cabd32e45e061b60f16","target":"record","created_at":"2026-05-17T23:53:35Z","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":"c1a850dad3c29f65fff601c6ca0388004adfa460c5c0fbe9e97cecf4748e2da0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-03-28T14:15:01Z","title_canon_sha256":"9c35554da65dc8efdad82973bf8efc5d68330a7ebb0d266242610974d280b578"},"schema_version":"1.0","source":{"id":"1303.7130","kind":"arxiv","version":1}},"canonical_sha256":"0847559299e7d7daa9741b093a0810658a5425c0ac9eb74008dd785a2dd1d306","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0847559299e7d7daa9741b093a0810658a5425c0ac9eb74008dd785a2dd1d306","first_computed_at":"2026-05-17T23:53:35.685569Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:35.685569Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eIDwZ9nfdiqmBW8b1cJK37qzAihH+YAMrpB1MAOswpS3G8gf3KueVye/ryrpGiOYfyYmZwYcS9DSNGHoLwEvDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:35.686172Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.7130","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:393e9e582d660c685429a7dcfd03014554aab95ec9754cabd32e45e061b60f16","sha256:93aabf23038e566045f6b9db73382d4319c411e908a754eca100bcb6a8c6d1a6"],"state_sha256":"c7e8629b7934da0ca7b3ec187454a112ebbde6105c34e1c9ed33f8cda23e8c68"}