{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:6YJWATGEANSNOMLXO4P7Z5OZUX","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":"3cd5c99f7f4378a7cf6665fb0dfec97e01f2eb07bbd4a00a5e26e6148c4cb594","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-08-05T14:53:17Z","title_canon_sha256":"671431c3710cd95275f7e66915d4ff87464bac378d0ce3214c46b4a3225a1186"},"schema_version":"1.0","source":{"id":"1908.01663","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.01663","created_at":"2026-07-04T23:51:32Z"},{"alias_kind":"arxiv_version","alias_value":"1908.01663v1","created_at":"2026-07-04T23:51:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.01663","created_at":"2026-07-04T23:51:32Z"},{"alias_kind":"pith_short_12","alias_value":"6YJWATGEANSN","created_at":"2026-07-04T23:51:32Z"},{"alias_kind":"pith_short_16","alias_value":"6YJWATGEANSNOMLX","created_at":"2026-07-04T23:51:32Z"},{"alias_kind":"pith_short_8","alias_value":"6YJWATGE","created_at":"2026-07-04T23:51:32Z"}],"graph_snapshots":[{"event_id":"sha256:0fa7d66958abd5de17c7ee87f1aa2e242ed9ad7821aa8a4a7adc6049a13e9c9f","target":"graph","created_at":"2026-07-04T23:51:32Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.01663/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the Sommerfeld problem of diffraction by an opaque half-plane with a real wavenumber\n  interpreting it as the limiting case, as time tends to infinity, of the corresponding time-dependent diffraction problem. We prove that the Sommerfeld formula for the solution is the limiting amplitude of the solution of this time-dependent problem which belongs to a certain functional class and is unique in it. For the proof of uniqueness of solution to the time-dependent problem we reduce it, after the Fourier-Laplace transform in $t$, to a stationary diffraction problem with a complex wavenumb","authors_text":"A. Merzon, J.E. De la Paz M\\'endez, P. Zhevandrov, T.J. Villalba Vega","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-08-05T14:53:17Z","title":"Time-dependent approach to the uniqueness of the Sommerfeld solution of the diffraction problem by a half-plane"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.01663","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":"sha256:167f00196172467b02f5fa08cb635d843e868fda8201cde851508477c9d81b89","target":"record","created_at":"2026-07-04T23:51:32Z","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":"3cd5c99f7f4378a7cf6665fb0dfec97e01f2eb07bbd4a00a5e26e6148c4cb594","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-08-05T14:53:17Z","title_canon_sha256":"671431c3710cd95275f7e66915d4ff87464bac378d0ce3214c46b4a3225a1186"},"schema_version":"1.0","source":{"id":"1908.01663","kind":"arxiv","version":1}},"canonical_sha256":"f613604cc40364d73177771ffcf5d9a5f11282617ac5077084fc46e87a31ca4f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f613604cc40364d73177771ffcf5d9a5f11282617ac5077084fc46e87a31ca4f","first_computed_at":"2026-07-04T23:51:32.551153Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:51:32.551153Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZdRcd6KKGKEJ4qU0fQ9JL1JmLjOFw66Nx3XFhKxv9bw58bDZg82/vrhJy1W8KiaLRHoQmFJIElPpQin+zxCJDQ==","signature_status":"signed_v1","signed_at":"2026-07-04T23:51:32.551514Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.01663","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:167f00196172467b02f5fa08cb635d843e868fda8201cde851508477c9d81b89","sha256:0fa7d66958abd5de17c7ee87f1aa2e242ed9ad7821aa8a4a7adc6049a13e9c9f"],"state_sha256":"fae4008ac8230175093803eb159772bd060e5d6ec1d04de80131bef72b2a5dca"}