{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:KGUKZD46QY74SL3SDC2NYMSNRV","short_pith_number":"pith:KGUKZD46","canonical_record":{"source":{"id":"1905.04095","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-05-10T12:04:54Z","cross_cats_sorted":["eess.SP","math.CV"],"title_canon_sha256":"7dcd9bffd34261b949a5aaf3a3d2702c299f087c9abb8c1233991bdba07fc7f6","abstract_canon_sha256":"83744df99d954940f30fe5b0a934c82060c9eb779939f1c4c7e03338207e6c39"},"schema_version":"1.0"},"canonical_sha256":"51a8ac8f9e863fc92f7218b4dc324d8d5f7794f0d20e3318d08337cd32623138","source":{"kind":"arxiv","id":"1905.04095","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.04095","created_at":"2026-07-05T01:02:55Z"},{"alias_kind":"arxiv_version","alias_value":"1905.04095v2","created_at":"2026-07-05T01:02:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.04095","created_at":"2026-07-05T01:02:55Z"},{"alias_kind":"pith_short_12","alias_value":"KGUKZD46QY74","created_at":"2026-07-05T01:02:55Z"},{"alias_kind":"pith_short_16","alias_value":"KGUKZD46QY74SL3S","created_at":"2026-07-05T01:02:55Z"},{"alias_kind":"pith_short_8","alias_value":"KGUKZD46","created_at":"2026-07-05T01:02:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:KGUKZD46QY74SL3SDC2NYMSNRV","target":"record","payload":{"canonical_record":{"source":{"id":"1905.04095","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-05-10T12:04:54Z","cross_cats_sorted":["eess.SP","math.CV"],"title_canon_sha256":"7dcd9bffd34261b949a5aaf3a3d2702c299f087c9abb8c1233991bdba07fc7f6","abstract_canon_sha256":"83744df99d954940f30fe5b0a934c82060c9eb779939f1c4c7e03338207e6c39"},"schema_version":"1.0"},"canonical_sha256":"51a8ac8f9e863fc92f7218b4dc324d8d5f7794f0d20e3318d08337cd32623138","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:02:55.768403Z","signature_b64":"aeNgEKKdbLWk6zntR4plhfBAe7Mb7DEwm1HwYVkzIqXpkO7e6cq7K+TpeNwe+JyrIZkvya6jSY1v9rAT4gTbAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"51a8ac8f9e863fc92f7218b4dc324d8d5f7794f0d20e3318d08337cd32623138","last_reissued_at":"2026-07-05T01:02:55.768056Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:02:55.768056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.04095","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:02:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q+rPm4V4atfV8rnNJgNK529VHmHxzBTJv0B16mgeAZZe1RtLF/F4TKg4D+3Iui/oO7f4S24FIzYHKEzD3MWuCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T18:30:47.505152Z"},"content_sha256":"9c6a109a02ea35ab8454621b312487fc64b243a44e3f63394a3fc789ad586a56","schema_version":"1.0","event_id":"sha256:9c6a109a02ea35ab8454621b312487fc64b243a44e3f63394a3fc789ad586a56"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:KGUKZD46QY74SL3SDC2NYMSNRV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phase retrieval for wide-band signals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["eess.SP","math.CV"],"primary_cat":"math.CA","authors_text":"Karim Kellay (IMB), Philippe Jaming (IMB), Rolando Perez Iii (IMB)","submitted_at":"2019-05-10T12:04:54Z","abstract_excerpt":"This study investigates the phase retrieval problem for wide-band signals. We solve the following problem: given f $\\in$ L 2 (R) with Fourier transform in L 2 (R, e^{2c|x|} dx), we find all functions g $\\in$ L 2 (R) with Fourier transform in L 2 (R, e^{2c|x| dx}), such that |f (x)| = |g(x)| for all x $\\in$ R. To do so, we first translate the problem to functions in the Hardy spaces on the disc via a conformal bijection, and take advantage of the inner-outer factorization. We also consider the same problem with additional constraints involving some transforms of f and g, and determine if these "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.04095","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1905.04095/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T01:02:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"axN3g6uXAB6AfRkNxD+RfcZ8/txO2CH0fZnWZpmjhhm7cWzt9XTssz6azI/ZJe/BFVGpyH6Dzv56Yrg968qJAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T18:30:47.505766Z"},"content_sha256":"8012808f186a04badb4d261a39aea17a2e0811d4c130982fadd6a28bd7393a81","schema_version":"1.0","event_id":"sha256:8012808f186a04badb4d261a39aea17a2e0811d4c130982fadd6a28bd7393a81"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KGUKZD46QY74SL3SDC2NYMSNRV/bundle.json","state_url":"https://pith.science/pith/KGUKZD46QY74SL3SDC2NYMSNRV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KGUKZD46QY74SL3SDC2NYMSNRV/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":"2026-08-16T18:30:47Z","links":{"resolver":"https://pith.science/pith/KGUKZD46QY74SL3SDC2NYMSNRV","bundle":"https://pith.science/pith/KGUKZD46QY74SL3SDC2NYMSNRV/bundle.json","state":"https://pith.science/pith/KGUKZD46QY74SL3SDC2NYMSNRV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KGUKZD46QY74SL3SDC2NYMSNRV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:KGUKZD46QY74SL3SDC2NYMSNRV","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":"83744df99d954940f30fe5b0a934c82060c9eb779939f1c4c7e03338207e6c39","cross_cats_sorted":["eess.SP","math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-05-10T12:04:54Z","title_canon_sha256":"7dcd9bffd34261b949a5aaf3a3d2702c299f087c9abb8c1233991bdba07fc7f6"},"schema_version":"1.0","source":{"id":"1905.04095","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.04095","created_at":"2026-07-05T01:02:55Z"},{"alias_kind":"arxiv_version","alias_value":"1905.04095v2","created_at":"2026-07-05T01:02:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.04095","created_at":"2026-07-05T01:02:55Z"},{"alias_kind":"pith_short_12","alias_value":"KGUKZD46QY74","created_at":"2026-07-05T01:02:55Z"},{"alias_kind":"pith_short_16","alias_value":"KGUKZD46QY74SL3S","created_at":"2026-07-05T01:02:55Z"},{"alias_kind":"pith_short_8","alias_value":"KGUKZD46","created_at":"2026-07-05T01:02:55Z"}],"graph_snapshots":[{"event_id":"sha256:8012808f186a04badb4d261a39aea17a2e0811d4c130982fadd6a28bd7393a81","target":"graph","created_at":"2026-07-05T01:02:55Z","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/1905.04095/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This study investigates the phase retrieval problem for wide-band signals. We solve the following problem: given f $\\in$ L 2 (R) with Fourier transform in L 2 (R, e^{2c|x|} dx), we find all functions g $\\in$ L 2 (R) with Fourier transform in L 2 (R, e^{2c|x| dx}), such that |f (x)| = |g(x)| for all x $\\in$ R. To do so, we first translate the problem to functions in the Hardy spaces on the disc via a conformal bijection, and take advantage of the inner-outer factorization. We also consider the same problem with additional constraints involving some transforms of f and g, and determine if these ","authors_text":"Karim Kellay (IMB), Philippe Jaming (IMB), Rolando Perez Iii (IMB)","cross_cats":["eess.SP","math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-05-10T12:04:54Z","title":"Phase retrieval for wide-band signals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.04095","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":"sha256:9c6a109a02ea35ab8454621b312487fc64b243a44e3f63394a3fc789ad586a56","target":"record","created_at":"2026-07-05T01:02:55Z","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":"83744df99d954940f30fe5b0a934c82060c9eb779939f1c4c7e03338207e6c39","cross_cats_sorted":["eess.SP","math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-05-10T12:04:54Z","title_canon_sha256":"7dcd9bffd34261b949a5aaf3a3d2702c299f087c9abb8c1233991bdba07fc7f6"},"schema_version":"1.0","source":{"id":"1905.04095","kind":"arxiv","version":2}},"canonical_sha256":"51a8ac8f9e863fc92f7218b4dc324d8d5f7794f0d20e3318d08337cd32623138","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"51a8ac8f9e863fc92f7218b4dc324d8d5f7794f0d20e3318d08337cd32623138","first_computed_at":"2026-07-05T01:02:55.768056Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:02:55.768056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aeNgEKKdbLWk6zntR4plhfBAe7Mb7DEwm1HwYVkzIqXpkO7e6cq7K+TpeNwe+JyrIZkvya6jSY1v9rAT4gTbAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:02:55.768403Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.04095","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9c6a109a02ea35ab8454621b312487fc64b243a44e3f63394a3fc789ad586a56","sha256:8012808f186a04badb4d261a39aea17a2e0811d4c130982fadd6a28bd7393a81"],"state_sha256":"e841ed959714ad0a286e15e46a5e6c62865d1693ca84cc58091fc19dd2015873"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wLYa5PjPXakmIInt7C2WP8RothJFll9xusZVIHKKst3+0W+Olnvo7vVZPSD977tyyLzO1dur4YjDqZ1wSF6aDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T18:30:47.511019Z","bundle_sha256":"b8ad22e914d9b4b5373f39e0e808faaa4d64e5236694d12af6db5b96b437c278"}}