{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:2XLV6UKPUIKTMNWSSMR6QWRKWM","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":"01935862337daf5c7a5e7fd9a147e02969463e1d33eced37213e8a8a2307afe4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-11-08T14:33:10Z","title_canon_sha256":"be0d283caaf3e3566ca821b310ff6abe0dcca9066732b1a23f14411fe6f67317"},"schema_version":"1.0","source":{"id":"1811.03443","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.03443","created_at":"2026-05-17T23:51:05Z"},{"alias_kind":"arxiv_version","alias_value":"1811.03443v2","created_at":"2026-05-17T23:51:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.03443","created_at":"2026-05-17T23:51:05Z"},{"alias_kind":"pith_short_12","alias_value":"2XLV6UKPUIKT","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"2XLV6UKPUIKTMNWS","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"2XLV6UKP","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:be3837c6e2ecb685ea691a5081c44eb7dcd18a22a2400d191d36037e67f8ed92","target":"graph","created_at":"2026-05-17T23:51:05Z","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 present a uniqueness result in dimensions $2$ and $3$ for the inverse fixed angle scattering problem associated to the Schr\\\"odinger operator $-\\Delta+q$, where $q$ is a small real valued potential with compact support in the Sobolev space $W^{\\beta,2}$ with $\\beta>0.$\n  This result improves the known result, due to Stefanov, in the sense that almost no regularity is required for the potential.\n  The uniqueness result still holds in dimension $4$, but for more regular potentials in $W^{\\beta,2}$ with $\\beta>2/3$.","authors_text":"Alberto Ruiz, Carlos Castro, Crist\\'obal J. Mero\\~no, Juan A. Barcel\\'o, Mar\\'ia de la Cruz Vilela, Teresa Luque","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-11-08T14:33:10Z","title":"Uniqueness for the inverse fixed angle scattering problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.03443","kind":"arxiv","version":2},"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":"sha256:0f21643a46cda68f663b8329f6697a192b371362c238800a4ddfedc2547f9e3a","target":"record","created_at":"2026-05-17T23:51:05Z","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":"01935862337daf5c7a5e7fd9a147e02969463e1d33eced37213e8a8a2307afe4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-11-08T14:33:10Z","title_canon_sha256":"be0d283caaf3e3566ca821b310ff6abe0dcca9066732b1a23f14411fe6f67317"},"schema_version":"1.0","source":{"id":"1811.03443","kind":"arxiv","version":2}},"canonical_sha256":"d5d75f514fa2153636d29323e85a2ab300a2cd677a25e75aa8f769e39a51ab01","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d5d75f514fa2153636d29323e85a2ab300a2cd677a25e75aa8f769e39a51ab01","first_computed_at":"2026-05-17T23:51:05.309778Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:05.309778Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"50bYHy2llI3ybYigexUex5oRMKnRcFh4et6h1aV35kwmUDbd1rieo5uwisqKvhKRjvv5xuHeYZX1Uk4QQ7wcAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:05.310499Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.03443","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f21643a46cda68f663b8329f6697a192b371362c238800a4ddfedc2547f9e3a","sha256:be3837c6e2ecb685ea691a5081c44eb7dcd18a22a2400d191d36037e67f8ed92"],"state_sha256":"658d92d4f8599254a1145143d58be57b68b465afc3c56bb29b913f48d9f7f409"}