{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:XJQH5TTHIUJUPO5QYJBNT7PFWM","short_pith_number":"pith:XJQH5TTH","canonical_record":{"source":{"id":"1303.0923","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-03-05T04:40:54Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"93105229f3b5c3f6224d4d11fadfcbde92fae4eeac6bdd164573954c363709aa","abstract_canon_sha256":"8fb49c93a8c67a8e541229ecf9d39426ce0499b950828bd0e81d706566b22870"},"schema_version":"1.0"},"canonical_sha256":"ba607ece67451347bbb0c242d9fde5b302aa13d564283f1aae4d68203087366c","source":{"kind":"arxiv","id":"1303.0923","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.0923","created_at":"2026-05-18T03:31:53Z"},{"alias_kind":"arxiv_version","alias_value":"1303.0923v1","created_at":"2026-05-18T03:31:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.0923","created_at":"2026-05-18T03:31:53Z"},{"alias_kind":"pith_short_12","alias_value":"XJQH5TTHIUJU","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"XJQH5TTHIUJUPO5Q","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"XJQH5TTH","created_at":"2026-05-18T12:28:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:XJQH5TTHIUJUPO5QYJBNT7PFWM","target":"record","payload":{"canonical_record":{"source":{"id":"1303.0923","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-03-05T04:40:54Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"93105229f3b5c3f6224d4d11fadfcbde92fae4eeac6bdd164573954c363709aa","abstract_canon_sha256":"8fb49c93a8c67a8e541229ecf9d39426ce0499b950828bd0e81d706566b22870"},"schema_version":"1.0"},"canonical_sha256":"ba607ece67451347bbb0c242d9fde5b302aa13d564283f1aae4d68203087366c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:31:53.457222Z","signature_b64":"bdHE9e7AHg4h1oeR813ybmqUsUgTdq24Dc79dRe0TJ1csbuvCuEaOKa2qQnl05K12dbrqRs4MZZdaZ+LLCBVBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba607ece67451347bbb0c242d9fde5b302aa13d564283f1aae4d68203087366c","last_reissued_at":"2026-05-18T03:31:53.456382Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:31:53.456382Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.0923","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":"2026-05-18T03:31:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iKD1+CR8NGcCORw0PoYyJRGv6gJU1rPC3DNXMBW4Ajdr67gDYifAQ+1uI6cUMBgYsgj/ANV9Aqs/CPIpP4UsCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T21:02:17.809435Z"},"content_sha256":"c657afd9156851387ae726a2cf79a97f2578df082ebd1ce57593841a09052952","schema_version":"1.0","event_id":"sha256:c657afd9156851387ae726a2cf79a97f2578df082ebd1ce57593841a09052952"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:XJQH5TTHIUJUPO5QYJBNT7PFWM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phaseless inverse scattering problems in 3-d","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Michael V. Klibanov","submitted_at":"2013-03-05T04:40:54Z","abstract_excerpt":"Uniqueness theorems are proved for 3-d inverse scattering problems in the frequency domain under the assumption that only the modulus of the complex valued wave field is measured, while the phase is unknown."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.0923","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":"2026-05-18T03:31:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p5JyFqibUIBOwAxLBwGzUQbklOowWks2o6Hc1UsOREeGKry3TZ+EhR+N2MfAbn5r+UI39+rwQ02L28yMJeEdAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T21:02:17.809780Z"},"content_sha256":"bdfea1b83eeeafa924c8bbf4902310fa0d286b476178e7d7cdbc465e06b5842c","schema_version":"1.0","event_id":"sha256:bdfea1b83eeeafa924c8bbf4902310fa0d286b476178e7d7cdbc465e06b5842c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XJQH5TTHIUJUPO5QYJBNT7PFWM/bundle.json","state_url":"https://pith.science/pith/XJQH5TTHIUJUPO5QYJBNT7PFWM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XJQH5TTHIUJUPO5QYJBNT7PFWM/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":"2026-06-03T21:02:17Z","links":{"resolver":"https://pith.science/pith/XJQH5TTHIUJUPO5QYJBNT7PFWM","bundle":"https://pith.science/pith/XJQH5TTHIUJUPO5QYJBNT7PFWM/bundle.json","state":"https://pith.science/pith/XJQH5TTHIUJUPO5QYJBNT7PFWM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XJQH5TTHIUJUPO5QYJBNT7PFWM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:XJQH5TTHIUJUPO5QYJBNT7PFWM","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":"8fb49c93a8c67a8e541229ecf9d39426ce0499b950828bd0e81d706566b22870","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-03-05T04:40:54Z","title_canon_sha256":"93105229f3b5c3f6224d4d11fadfcbde92fae4eeac6bdd164573954c363709aa"},"schema_version":"1.0","source":{"id":"1303.0923","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.0923","created_at":"2026-05-18T03:31:53Z"},{"alias_kind":"arxiv_version","alias_value":"1303.0923v1","created_at":"2026-05-18T03:31:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.0923","created_at":"2026-05-18T03:31:53Z"},{"alias_kind":"pith_short_12","alias_value":"XJQH5TTHIUJU","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"XJQH5TTHIUJUPO5Q","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"XJQH5TTH","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:bdfea1b83eeeafa924c8bbf4902310fa0d286b476178e7d7cdbc465e06b5842c","target":"graph","created_at":"2026-05-18T03:31:53Z","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":"Uniqueness theorems are proved for 3-d inverse scattering problems in the frequency domain under the assumption that only the modulus of the complex valued wave field is measured, while the phase is unknown.","authors_text":"Michael V. Klibanov","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-03-05T04:40:54Z","title":"Phaseless inverse scattering problems in 3-d"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.0923","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:c657afd9156851387ae726a2cf79a97f2578df082ebd1ce57593841a09052952","target":"record","created_at":"2026-05-18T03:31:53Z","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":"8fb49c93a8c67a8e541229ecf9d39426ce0499b950828bd0e81d706566b22870","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-03-05T04:40:54Z","title_canon_sha256":"93105229f3b5c3f6224d4d11fadfcbde92fae4eeac6bdd164573954c363709aa"},"schema_version":"1.0","source":{"id":"1303.0923","kind":"arxiv","version":1}},"canonical_sha256":"ba607ece67451347bbb0c242d9fde5b302aa13d564283f1aae4d68203087366c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ba607ece67451347bbb0c242d9fde5b302aa13d564283f1aae4d68203087366c","first_computed_at":"2026-05-18T03:31:53.456382Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:31:53.456382Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bdHE9e7AHg4h1oeR813ybmqUsUgTdq24Dc79dRe0TJ1csbuvCuEaOKa2qQnl05K12dbrqRs4MZZdaZ+LLCBVBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:31:53.457222Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.0923","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c657afd9156851387ae726a2cf79a97f2578df082ebd1ce57593841a09052952","sha256:bdfea1b83eeeafa924c8bbf4902310fa0d286b476178e7d7cdbc465e06b5842c"],"state_sha256":"dbe399591f136c1df5e5274209cca0137ff2635d0588b1e154a39ba009c49d25"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aKqqeM9G87gFPBfx35Pv5jtoGevZgfPpd+xGRTIDi25HfLB0p41L1Y8uSDqywOJRSlqsOVY231qo7wV3FCL/AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T21:02:17.811648Z","bundle_sha256":"ab540b99415cb13e739fdcbc5bcdea6c39714769bec71a9d4f6a81ffbe51b5b1"}}