{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:WC5JTUHSWYYJ5WFVNYHODZSEJL","short_pith_number":"pith:WC5JTUHS","canonical_record":{"source":{"id":"2412.16823","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.AS","submitted_at":"2024-12-22T02:05:21Z","cross_cats_sorted":[],"title_canon_sha256":"bcaabc89e99a5e0f6126800dd04a99324e1464d37aba83fb9f6401b7ba508386","abstract_canon_sha256":"b5b91fd5e0bf3bd56d458bb91f43b6d7aef7c441f2de7b5bb80c831ea03be73c"},"schema_version":"1.0"},"canonical_sha256":"b0ba99d0f2b6309ed8b56e0ee1e6444ad4ca74b6cc18f929c6fc181c52b7d515","source":{"kind":"arxiv","id":"2412.16823","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.16823","created_at":"2026-07-05T09:53:47Z"},{"alias_kind":"arxiv_version","alias_value":"2412.16823v2","created_at":"2026-07-05T09:53:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.16823","created_at":"2026-07-05T09:53:47Z"},{"alias_kind":"pith_short_12","alias_value":"WC5JTUHSWYYJ","created_at":"2026-07-05T09:53:47Z"},{"alias_kind":"pith_short_16","alias_value":"WC5JTUHSWYYJ5WFV","created_at":"2026-07-05T09:53:47Z"},{"alias_kind":"pith_short_8","alias_value":"WC5JTUHS","created_at":"2026-07-05T09:53:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:WC5JTUHSWYYJ5WFVNYHODZSEJL","target":"record","payload":{"canonical_record":{"source":{"id":"2412.16823","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.AS","submitted_at":"2024-12-22T02:05:21Z","cross_cats_sorted":[],"title_canon_sha256":"bcaabc89e99a5e0f6126800dd04a99324e1464d37aba83fb9f6401b7ba508386","abstract_canon_sha256":"b5b91fd5e0bf3bd56d458bb91f43b6d7aef7c441f2de7b5bb80c831ea03be73c"},"schema_version":"1.0"},"canonical_sha256":"b0ba99d0f2b6309ed8b56e0ee1e6444ad4ca74b6cc18f929c6fc181c52b7d515","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:53:47.670017Z","signature_b64":"fnIBfAeyiT3Zcup20nu2o3NcyPbw2iREJWIaJX7UfGdvqGdQHKf2Vhp7LXaLCZ9hRbCRjcgZ2ACUS0aqP9hNCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b0ba99d0f2b6309ed8b56e0ee1e6444ad4ca74b6cc18f929c6fc181c52b7d515","last_reissued_at":"2026-07-05T09:53:47.669543Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:53:47.669543Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.16823","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":"2026-07-05T09:53:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xtbu9gAUqMR+UF+u9hsp2HQGvBN/kSgTWqzyHtBRNss2UTGQ4PFOboW3ZZMNGGVuuM8ZpL5SAS+AzcSKa1cXCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T14:35:38.427187Z"},"content_sha256":"63cca78a798cb165f309bfc346ad3a93a677babebd51221641384187a09914b6","schema_version":"1.0","event_id":"sha256:63cca78a798cb165f309bfc346ad3a93a677babebd51221641384187a09914b6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:WC5JTUHSWYYJ5WFVNYHODZSEJL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Time-Graph Frequency Representation with Singular Value Decomposition for Neural Speech Enhancement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"eess.AS","authors_text":"Meng Ge, Qiquan Zhang, Tianrui Wang, Tingting Wang, Zhen Yang, Zirui Ge","submitted_at":"2024-12-22T02:05:21Z","abstract_excerpt":"Time-frequency (T-F) domain methods for monaural speech enhancement have benefited from the success of deep learning. Recently, focus has been put on designing two-stream network models to predict amplitude mask and phase separately, or, coupling the amplitude and phase into Cartesian coordinates and constructing real and imaginary pairs. However, most methods suffer from the alignment modeling of amplitude and phase (real and imaginary pairs) in a two-stream network framework, which inevitably incurs performance restrictions. In this paper, we introduce a graph Fourier transform defined with "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.16823","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/2412.16823/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":"2026-07-05T09:53:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CaisIuMQ1+n/GwCXp9TLtIFCLAobRPfq1lFcu1fYbFOUEbB1Qcp8FOYbOehoNTrjzg9A9Q6QTa9eJZsJDC9qDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T14:35:38.427808Z"},"content_sha256":"909d6f4db6bd54586607367cdfb38f2f9eb7fd5836a06f3b133349141fb948b4","schema_version":"1.0","event_id":"sha256:909d6f4db6bd54586607367cdfb38f2f9eb7fd5836a06f3b133349141fb948b4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WC5JTUHSWYYJ5WFVNYHODZSEJL/bundle.json","state_url":"https://pith.science/pith/WC5JTUHSWYYJ5WFVNYHODZSEJL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WC5JTUHSWYYJ5WFVNYHODZSEJL/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":"2026-08-21T14:35:38Z","links":{"resolver":"https://pith.science/pith/WC5JTUHSWYYJ5WFVNYHODZSEJL","bundle":"https://pith.science/pith/WC5JTUHSWYYJ5WFVNYHODZSEJL/bundle.json","state":"https://pith.science/pith/WC5JTUHSWYYJ5WFVNYHODZSEJL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WC5JTUHSWYYJ5WFVNYHODZSEJL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:WC5JTUHSWYYJ5WFVNYHODZSEJL","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":"b5b91fd5e0bf3bd56d458bb91f43b6d7aef7c441f2de7b5bb80c831ea03be73c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.AS","submitted_at":"2024-12-22T02:05:21Z","title_canon_sha256":"bcaabc89e99a5e0f6126800dd04a99324e1464d37aba83fb9f6401b7ba508386"},"schema_version":"1.0","source":{"id":"2412.16823","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.16823","created_at":"2026-07-05T09:53:47Z"},{"alias_kind":"arxiv_version","alias_value":"2412.16823v2","created_at":"2026-07-05T09:53:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.16823","created_at":"2026-07-05T09:53:47Z"},{"alias_kind":"pith_short_12","alias_value":"WC5JTUHSWYYJ","created_at":"2026-07-05T09:53:47Z"},{"alias_kind":"pith_short_16","alias_value":"WC5JTUHSWYYJ5WFV","created_at":"2026-07-05T09:53:47Z"},{"alias_kind":"pith_short_8","alias_value":"WC5JTUHS","created_at":"2026-07-05T09:53:47Z"}],"graph_snapshots":[{"event_id":"sha256:909d6f4db6bd54586607367cdfb38f2f9eb7fd5836a06f3b133349141fb948b4","target":"graph","created_at":"2026-07-05T09:53:47Z","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/2412.16823/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Time-frequency (T-F) domain methods for monaural speech enhancement have benefited from the success of deep learning. Recently, focus has been put on designing two-stream network models to predict amplitude mask and phase separately, or, coupling the amplitude and phase into Cartesian coordinates and constructing real and imaginary pairs. However, most methods suffer from the alignment modeling of amplitude and phase (real and imaginary pairs) in a two-stream network framework, which inevitably incurs performance restrictions. In this paper, we introduce a graph Fourier transform defined with ","authors_text":"Meng Ge, Qiquan Zhang, Tianrui Wang, Tingting Wang, Zhen Yang, Zirui Ge","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.AS","submitted_at":"2024-12-22T02:05:21Z","title":"Time-Graph Frequency Representation with Singular Value Decomposition for Neural Speech Enhancement"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.16823","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":"sha256:63cca78a798cb165f309bfc346ad3a93a677babebd51221641384187a09914b6","target":"record","created_at":"2026-07-05T09:53:47Z","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":"b5b91fd5e0bf3bd56d458bb91f43b6d7aef7c441f2de7b5bb80c831ea03be73c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.AS","submitted_at":"2024-12-22T02:05:21Z","title_canon_sha256":"bcaabc89e99a5e0f6126800dd04a99324e1464d37aba83fb9f6401b7ba508386"},"schema_version":"1.0","source":{"id":"2412.16823","kind":"arxiv","version":2}},"canonical_sha256":"b0ba99d0f2b6309ed8b56e0ee1e6444ad4ca74b6cc18f929c6fc181c52b7d515","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b0ba99d0f2b6309ed8b56e0ee1e6444ad4ca74b6cc18f929c6fc181c52b7d515","first_computed_at":"2026-07-05T09:53:47.669543Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:53:47.669543Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fnIBfAeyiT3Zcup20nu2o3NcyPbw2iREJWIaJX7UfGdvqGdQHKf2Vhp7LXaLCZ9hRbCRjcgZ2ACUS0aqP9hNCg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:53:47.670017Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.16823","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:63cca78a798cb165f309bfc346ad3a93a677babebd51221641384187a09914b6","sha256:909d6f4db6bd54586607367cdfb38f2f9eb7fd5836a06f3b133349141fb948b4"],"state_sha256":"443266ab9ff92ad1961a8b230fa8d592e028dc0ffe5858115a333cb0b5c7fcee"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"elA+RAdzAsk5b3GhoUc8/Ab6lFgShGL01uBzgfW+TzIMdXEQqYgW6nUbtAUJ3szDLWdzgcQwtggk1uMvF5k7Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T14:35:38.431482Z","bundle_sha256":"3061607f314a6648385453342e78b69c07f5820dd1066da9a0a9c0487ac60696"}}