{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:GL3HRUMKIONJBB65SSYC6W2RJI","short_pith_number":"pith:GL3HRUMK","canonical_record":{"source":{"id":"1903.05603","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.AS","submitted_at":"2019-03-13T17:06:40Z","cross_cats_sorted":["cs.SD","eess.SP"],"title_canon_sha256":"114444be85205042b81e7e2fd50fc5fe8c65f89ace58c39269d7e01b3d7e6264","abstract_canon_sha256":"976e4c894f33141f81f3bef41ec719cf4e6da15e9a87f52f21ab8c19d318df44"},"schema_version":"1.0"},"canonical_sha256":"32f678d18a439a9087dd94b02f5b514a2f4142dc83297da5c21b05bcfecd5064","source":{"kind":"arxiv","id":"1903.05603","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.05603","created_at":"2026-05-17T23:51:20Z"},{"alias_kind":"arxiv_version","alias_value":"1903.05603v1","created_at":"2026-05-17T23:51:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.05603","created_at":"2026-05-17T23:51:20Z"},{"alias_kind":"pith_short_12","alias_value":"GL3HRUMKIONJ","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"GL3HRUMKIONJBB65","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"GL3HRUMK","created_at":"2026-05-18T12:33:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:GL3HRUMKIONJBB65SSYC6W2RJI","target":"record","payload":{"canonical_record":{"source":{"id":"1903.05603","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.AS","submitted_at":"2019-03-13T17:06:40Z","cross_cats_sorted":["cs.SD","eess.SP"],"title_canon_sha256":"114444be85205042b81e7e2fd50fc5fe8c65f89ace58c39269d7e01b3d7e6264","abstract_canon_sha256":"976e4c894f33141f81f3bef41ec719cf4e6da15e9a87f52f21ab8c19d318df44"},"schema_version":"1.0"},"canonical_sha256":"32f678d18a439a9087dd94b02f5b514a2f4142dc83297da5c21b05bcfecd5064","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:20.491728Z","signature_b64":"PPVhKMCGrMCIa0WepJ5/qKd0MgJSLbLcNgWHZsspkBY0i2p0rFsorbMSJVvTFS/Jq/2ielaOzvRJXdGRgdDSAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"32f678d18a439a9087dd94b02f5b514a2f4142dc83297da5c21b05bcfecd5064","last_reissued_at":"2026-05-17T23:51:20.491254Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:20.491254Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1903.05603","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":"2026-05-17T23:51:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DFu3YWrrdu8KTbtARCMqxYlg+ujO/olvPgIyOeHnJSHJCyewrwccW24KE4FU/iKnG7vIWTi6MAcjzla9o387DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T14:25:09.123607Z"},"content_sha256":"43ff3f44ce867a2a16e6ddb69a9249edc975cac8440daf95b7ea9f5b0a0bc71c","schema_version":"1.0","event_id":"sha256:43ff3f44ce867a2a16e6ddb69a9249edc975cac8440daf95b7ea9f5b0a0bc71c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:GL3HRUMKIONJBB65SSYC6W2RJI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Low-rankness of Complex-valued Spectrogram and Its Application to Phase-aware Audio Processing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SD","eess.SP"],"primary_cat":"eess.AS","authors_text":"Kohei Yatabe, Yasuhiro Oikawa, Yoshiki Masuyama","submitted_at":"2019-03-13T17:06:40Z","abstract_excerpt":"Low-rankness of amplitude spectrograms has been effectively utilized in audio signal processing methods including non-negative matrix factorization. However, such methods have a fundamental limitation owing to their amplitude-only treatment where the phase of the observed signal is utilized for resynthesizing the estimated signal. In order to address this limitation, we directly treat a complex-valued spectrogram and show a complex-valued spectrogram of a sum of sinusoids can be approximately low-rank by modifying its phase. For evaluating the applicability of the proposed low-rank representat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.05603","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":"2026-05-17T23:51:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JREklGZDn+1EcombcwcQv+b4Tfi19Spn48/oFHYw10i7GFDj6fg9aPmEW1ozLeiNPa0EryjHFjPbtdr5yybHDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T14:25:09.123985Z"},"content_sha256":"508a89d697b022aaac02622656fa7300a9b339f438130f43a6663379eb514c4d","schema_version":"1.0","event_id":"sha256:508a89d697b022aaac02622656fa7300a9b339f438130f43a6663379eb514c4d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GL3HRUMKIONJBB65SSYC6W2RJI/bundle.json","state_url":"https://pith.science/pith/GL3HRUMKIONJBB65SSYC6W2RJI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GL3HRUMKIONJBB65SSYC6W2RJI/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":"2026-06-22T14:25:09Z","links":{"resolver":"https://pith.science/pith/GL3HRUMKIONJBB65SSYC6W2RJI","bundle":"https://pith.science/pith/GL3HRUMKIONJBB65SSYC6W2RJI/bundle.json","state":"https://pith.science/pith/GL3HRUMKIONJBB65SSYC6W2RJI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GL3HRUMKIONJBB65SSYC6W2RJI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:GL3HRUMKIONJBB65SSYC6W2RJI","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":"976e4c894f33141f81f3bef41ec719cf4e6da15e9a87f52f21ab8c19d318df44","cross_cats_sorted":["cs.SD","eess.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.AS","submitted_at":"2019-03-13T17:06:40Z","title_canon_sha256":"114444be85205042b81e7e2fd50fc5fe8c65f89ace58c39269d7e01b3d7e6264"},"schema_version":"1.0","source":{"id":"1903.05603","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.05603","created_at":"2026-05-17T23:51:20Z"},{"alias_kind":"arxiv_version","alias_value":"1903.05603v1","created_at":"2026-05-17T23:51:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.05603","created_at":"2026-05-17T23:51:20Z"},{"alias_kind":"pith_short_12","alias_value":"GL3HRUMKIONJ","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"GL3HRUMKIONJBB65","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"GL3HRUMK","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:508a89d697b022aaac02622656fa7300a9b339f438130f43a6663379eb514c4d","target":"graph","created_at":"2026-05-17T23:51:20Z","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":"Low-rankness of amplitude spectrograms has been effectively utilized in audio signal processing methods including non-negative matrix factorization. However, such methods have a fundamental limitation owing to their amplitude-only treatment where the phase of the observed signal is utilized for resynthesizing the estimated signal. In order to address this limitation, we directly treat a complex-valued spectrogram and show a complex-valued spectrogram of a sum of sinusoids can be approximately low-rank by modifying its phase. For evaluating the applicability of the proposed low-rank representat","authors_text":"Kohei Yatabe, Yasuhiro Oikawa, Yoshiki Masuyama","cross_cats":["cs.SD","eess.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.AS","submitted_at":"2019-03-13T17:06:40Z","title":"Low-rankness of Complex-valued Spectrogram and Its Application to Phase-aware Audio Processing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.05603","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":"sha256:43ff3f44ce867a2a16e6ddb69a9249edc975cac8440daf95b7ea9f5b0a0bc71c","target":"record","created_at":"2026-05-17T23:51:20Z","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":"976e4c894f33141f81f3bef41ec719cf4e6da15e9a87f52f21ab8c19d318df44","cross_cats_sorted":["cs.SD","eess.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.AS","submitted_at":"2019-03-13T17:06:40Z","title_canon_sha256":"114444be85205042b81e7e2fd50fc5fe8c65f89ace58c39269d7e01b3d7e6264"},"schema_version":"1.0","source":{"id":"1903.05603","kind":"arxiv","version":1}},"canonical_sha256":"32f678d18a439a9087dd94b02f5b514a2f4142dc83297da5c21b05bcfecd5064","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"32f678d18a439a9087dd94b02f5b514a2f4142dc83297da5c21b05bcfecd5064","first_computed_at":"2026-05-17T23:51:20.491254Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:20.491254Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PPVhKMCGrMCIa0WepJ5/qKd0MgJSLbLcNgWHZsspkBY0i2p0rFsorbMSJVvTFS/Jq/2ielaOzvRJXdGRgdDSAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:20.491728Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.05603","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:43ff3f44ce867a2a16e6ddb69a9249edc975cac8440daf95b7ea9f5b0a0bc71c","sha256:508a89d697b022aaac02622656fa7300a9b339f438130f43a6663379eb514c4d"],"state_sha256":"cae34228be6ee4a43ebf6a20d09a8daaf6597915f8fc4d7ce44fe3fa64c009c1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FDFdQat5n1hHVKOm/ykckci99KRs2sDWncMCSdI015M/wwE9ues0+XAXwtVze9EHFgOe2YbqwdBjvfgLTmbVBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T14:25:09.126309Z","bundle_sha256":"1ba1be102b8bf768f8cb194eda9e1615838e58de2c5cd09e4608442f1a64d203"}}