{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:RTSN7CGNUW7QYWKSLRTKAKK746","short_pith_number":"pith:RTSN7CGN","canonical_record":{"source":{"id":"1412.5006","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-12-16T14:12:53Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"2642effd0d6a56e43c63941e9e8b20de0e239c6e1b778444205cbd2544d6d730","abstract_canon_sha256":"c5f67d3e8a10f09fbcd5aa8398033747dc1cc8c5494608d165f000f945d9ff93"},"schema_version":"1.0"},"canonical_sha256":"8ce4df88cda5bf0c59525c66a0295fe78c1b3d0c8a532147728073d25c674368","source":{"kind":"arxiv","id":"1412.5006","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.5006","created_at":"2026-05-18T02:27:05Z"},{"alias_kind":"arxiv_version","alias_value":"1412.5006v1","created_at":"2026-05-18T02:27:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.5006","created_at":"2026-05-18T02:27:05Z"},{"alias_kind":"pith_short_12","alias_value":"RTSN7CGNUW7Q","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RTSN7CGNUW7QYWKS","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RTSN7CGN","created_at":"2026-05-18T12:28:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:RTSN7CGNUW7QYWKSLRTKAKK746","target":"record","payload":{"canonical_record":{"source":{"id":"1412.5006","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-12-16T14:12:53Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"2642effd0d6a56e43c63941e9e8b20de0e239c6e1b778444205cbd2544d6d730","abstract_canon_sha256":"c5f67d3e8a10f09fbcd5aa8398033747dc1cc8c5494608d165f000f945d9ff93"},"schema_version":"1.0"},"canonical_sha256":"8ce4df88cda5bf0c59525c66a0295fe78c1b3d0c8a532147728073d25c674368","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:27:05.021461Z","signature_b64":"oqUS43/XwvMCetD4wCXZa9BOvCf1CXyYdt026DYaoamKGzLvaNey0kb6KflQoq8gWKEQ/kKnnwmaJnFSz83fBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8ce4df88cda5bf0c59525c66a0295fe78c1b3d0c8a532147728073d25c674368","last_reissued_at":"2026-05-18T02:27:05.021104Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:27:05.021104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.5006","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:27:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ydUHbH4yd9DVfY96Ef0fkobYoXAYs8sdc4c/cVl5zFaTfPhvrwgD6pkt2lfjGPEvqJlFf1+JlIvxGsGQJTuaDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T07:27:27.210368Z"},"content_sha256":"c7eae7e3a896e5406c8580ff54fb7b42b9f971420544cf5ad905fa660b51f07c","schema_version":"1.0","event_id":"sha256:c7eae7e3a896e5406c8580ff54fb7b42b9f971420544cf5ad905fa660b51f07c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:RTSN7CGNUW7QYWKSLRTKAKK746","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Explicit formulas and global uniqueness for phaseless inverse scattering in multidimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Roman Novikov","submitted_at":"2014-12-16T14:12:53Z","abstract_excerpt":"We consider phaseless inverse scattering for the Schr\\\"odinger equation with compactly supported potential in dimension $d\\ge 2$. We give explicit formulas for solving this problem from appropriate data at high energies. As a corollary, we give also a global uniqueness result for this problem with appropriate data on a fixed energy neighborhood."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.5006","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:27:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nzjzt6xowrGQfJp/G2y2VKO3Z86MWueq+yYC3DJYxRzPKImyuL7y9BHj4JqemTyl7Uj5TJ2VrtydhwQk94kkDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T07:27:27.210719Z"},"content_sha256":"314b9f908c87de63386460cbcc6069bc765a1a733be1f053c34b3c9d33c52ec7","schema_version":"1.0","event_id":"sha256:314b9f908c87de63386460cbcc6069bc765a1a733be1f053c34b3c9d33c52ec7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RTSN7CGNUW7QYWKSLRTKAKK746/bundle.json","state_url":"https://pith.science/pith/RTSN7CGNUW7QYWKSLRTKAKK746/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RTSN7CGNUW7QYWKSLRTKAKK746/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-02T07:27:27Z","links":{"resolver":"https://pith.science/pith/RTSN7CGNUW7QYWKSLRTKAKK746","bundle":"https://pith.science/pith/RTSN7CGNUW7QYWKSLRTKAKK746/bundle.json","state":"https://pith.science/pith/RTSN7CGNUW7QYWKSLRTKAKK746/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RTSN7CGNUW7QYWKSLRTKAKK746/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:RTSN7CGNUW7QYWKSLRTKAKK746","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":"c5f67d3e8a10f09fbcd5aa8398033747dc1cc8c5494608d165f000f945d9ff93","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-12-16T14:12:53Z","title_canon_sha256":"2642effd0d6a56e43c63941e9e8b20de0e239c6e1b778444205cbd2544d6d730"},"schema_version":"1.0","source":{"id":"1412.5006","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.5006","created_at":"2026-05-18T02:27:05Z"},{"alias_kind":"arxiv_version","alias_value":"1412.5006v1","created_at":"2026-05-18T02:27:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.5006","created_at":"2026-05-18T02:27:05Z"},{"alias_kind":"pith_short_12","alias_value":"RTSN7CGNUW7Q","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RTSN7CGNUW7QYWKS","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RTSN7CGN","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:314b9f908c87de63386460cbcc6069bc765a1a733be1f053c34b3c9d33c52ec7","target":"graph","created_at":"2026-05-18T02:27:05Z","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 consider phaseless inverse scattering for the Schr\\\"odinger equation with compactly supported potential in dimension $d\\ge 2$. We give explicit formulas for solving this problem from appropriate data at high energies. As a corollary, we give also a global uniqueness result for this problem with appropriate data on a fixed energy neighborhood.","authors_text":"Roman Novikov","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-12-16T14:12:53Z","title":"Explicit formulas and global uniqueness for phaseless inverse scattering in multidimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.5006","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:c7eae7e3a896e5406c8580ff54fb7b42b9f971420544cf5ad905fa660b51f07c","target":"record","created_at":"2026-05-18T02:27:05Z","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":"c5f67d3e8a10f09fbcd5aa8398033747dc1cc8c5494608d165f000f945d9ff93","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-12-16T14:12:53Z","title_canon_sha256":"2642effd0d6a56e43c63941e9e8b20de0e239c6e1b778444205cbd2544d6d730"},"schema_version":"1.0","source":{"id":"1412.5006","kind":"arxiv","version":1}},"canonical_sha256":"8ce4df88cda5bf0c59525c66a0295fe78c1b3d0c8a532147728073d25c674368","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ce4df88cda5bf0c59525c66a0295fe78c1b3d0c8a532147728073d25c674368","first_computed_at":"2026-05-18T02:27:05.021104Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:27:05.021104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oqUS43/XwvMCetD4wCXZa9BOvCf1CXyYdt026DYaoamKGzLvaNey0kb6KflQoq8gWKEQ/kKnnwmaJnFSz83fBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:27:05.021461Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.5006","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c7eae7e3a896e5406c8580ff54fb7b42b9f971420544cf5ad905fa660b51f07c","sha256:314b9f908c87de63386460cbcc6069bc765a1a733be1f053c34b3c9d33c52ec7"],"state_sha256":"57efaf31d17133a6091f8c1bf2321ecc29bfc84535cca9b1b20d028267915d7b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ldjnvMi8wCvMCfKD8lUJ5o9UWt/WIxsbtRL/W92I44i9N8Qnb/qmT5riUcAHQPQXeNcUBct68rfjx96dhKnXCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T07:27:27.212835Z","bundle_sha256":"62790a16fcc177cac3e144d359751d831070f4accbdd331d7b50ddc03e59b36f"}}