{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:KAIVSJ6TMOYXJHN7ZTMLEMWTDU","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":"e2670d8da895bbe0fbef6eb9a21a860369e6e973f7a245bc3d18e22060ebc98b","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-02-08T17:52:52Z","title_canon_sha256":"d0ddaa746e2ea4be57daec2e664f3fe82f04370afa4995a5146928473b161923"},"schema_version":"1.0","source":{"id":"1502.02282","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.02282","created_at":"2026-05-18T02:27:00Z"},{"alias_kind":"arxiv_version","alias_value":"1502.02282v2","created_at":"2026-05-18T02:27:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.02282","created_at":"2026-05-18T02:27:00Z"},{"alias_kind":"pith_short_12","alias_value":"KAIVSJ6TMOYX","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"KAIVSJ6TMOYXJHN7","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"KAIVSJ6T","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:9237f9c6e52bdea4f160f6b9a8d00d73f3e2b496e41ee217c44d3d7ff4d11fea","target":"graph","created_at":"2026-05-18T02:27:00Z","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 quantum and acoustic wave propagation at fixed frequency for compactly supported scatterers in dimension $d\\ge 2$. In these framework we give explicit formulas for phase recovering from appropriate phaseless scattering data. As a corollary, we give global uniqueness results for quantum and acoustic inverse scattering at fixed frequency without phase information.","authors_text":"Roman Novikov","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-02-08T17:52:52Z","title":"Formulas for phase recovering from phaseless scattering data at fixed frequency"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.02282","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":"sha256:8874463765c52c6053f0279a8104ebbfa0593dd5a9d2ae36663e51dcdeb7b2e8","target":"record","created_at":"2026-05-18T02:27:00Z","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":"e2670d8da895bbe0fbef6eb9a21a860369e6e973f7a245bc3d18e22060ebc98b","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-02-08T17:52:52Z","title_canon_sha256":"d0ddaa746e2ea4be57daec2e664f3fe82f04370afa4995a5146928473b161923"},"schema_version":"1.0","source":{"id":"1502.02282","kind":"arxiv","version":2}},"canonical_sha256":"50115927d363b1749dbfccd8b232d31d34ad566928b1be81cc57c7054c5dcfdb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"50115927d363b1749dbfccd8b232d31d34ad566928b1be81cc57c7054c5dcfdb","first_computed_at":"2026-05-18T02:27:00.453974Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:27:00.453974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5l38fJfoSwTbzIcX0P2uksSY/WYQHCs/Xo5sAa6IDDpGjpiRVFFOM+meOBB9UnrELrRvc7voXs4/95ZiPWTCCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:27:00.454366Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.02282","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8874463765c52c6053f0279a8104ebbfa0593dd5a9d2ae36663e51dcdeb7b2e8","sha256:9237f9c6e52bdea4f160f6b9a8d00d73f3e2b496e41ee217c44d3d7ff4d11fea"],"state_sha256":"07afca6929eb847da04abd0cdee0d5ab71da0f9c37ea77477ec2d13d3362eb6a"}