{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:5HTWHU3RCXUHQ7I6HTH2RKIJ6W","short_pith_number":"pith:5HTWHU3R","canonical_record":{"source":{"id":"2412.05123","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SD","submitted_at":"2024-12-06T15:29:48Z","cross_cats_sorted":["eess.AS"],"title_canon_sha256":"90d1cece4839c27659856b2b83486f3c46631b616c3a51af302d7dc1b8d64c9c","abstract_canon_sha256":"0317b3c9dad17245a51db8100e7e9c17d27b729228379a391a0e7c3f73b79dd9"},"schema_version":"1.0"},"canonical_sha256":"e9e763d37115e8787d1e3ccfa8a909f5b03290b32293064b59ec6d1229a7bb45","source":{"kind":"arxiv","id":"2412.05123","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.05123","created_at":"2026-06-03T01:05:03Z"},{"alias_kind":"arxiv_version","alias_value":"2412.05123v2","created_at":"2026-06-03T01:05:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.05123","created_at":"2026-06-03T01:05:03Z"},{"alias_kind":"pith_short_12","alias_value":"5HTWHU3RCXUH","created_at":"2026-06-03T01:05:03Z"},{"alias_kind":"pith_short_16","alias_value":"5HTWHU3RCXUHQ7I6","created_at":"2026-06-03T01:05:03Z"},{"alias_kind":"pith_short_8","alias_value":"5HTWHU3R","created_at":"2026-06-03T01:05:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:5HTWHU3RCXUHQ7I6HTH2RKIJ6W","target":"record","payload":{"canonical_record":{"source":{"id":"2412.05123","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SD","submitted_at":"2024-12-06T15:29:48Z","cross_cats_sorted":["eess.AS"],"title_canon_sha256":"90d1cece4839c27659856b2b83486f3c46631b616c3a51af302d7dc1b8d64c9c","abstract_canon_sha256":"0317b3c9dad17245a51db8100e7e9c17d27b729228379a391a0e7c3f73b79dd9"},"schema_version":"1.0"},"canonical_sha256":"e9e763d37115e8787d1e3ccfa8a909f5b03290b32293064b59ec6d1229a7bb45","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-03T01:05:03.876866Z","signature_b64":"tc5U7WLR211wjCuHC9Ipt65DFG5xkfkDrDwsZliFtfncgJFQ/vTk9JqldDop5Wp6BgLwgKOvqvQ6ahKnYfUCDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e9e763d37115e8787d1e3ccfa8a909f5b03290b32293064b59ec6d1229a7bb45","last_reissued_at":"2026-06-03T01:05:03.876348Z","signature_status":"signed_v1","first_computed_at":"2026-06-03T01:05:03.876348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.05123","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":"2026-06-03T01:05:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OJBWPz9WkcAO5sDNCO+AtIdOW91LNHEYoTDxdDc6SwEWwG6/W4Uk47L+Llm03RXmn4PpGJrRTRKuNgzE8HcHCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T15:56:25.916110Z"},"content_sha256":"c043766a8ae23af09f52e75711d93d5bcaf5769edd0e7088bb776426c7f6a7fd","schema_version":"1.0","event_id":"sha256:c043766a8ae23af09f52e75711d93d5bcaf5769edd0e7088bb776426c7f6a7fd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:5HTWHU3RCXUHQ7I6HTH2RKIJ6W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Differentiable Optimization of Linear Differential Microphone Arrays: A Joint Geometry and Filter Design Framework","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["eess.AS"],"primary_cat":"cs.SD","authors_text":"Ramani Duraiswami, Siminfar Samakoush Galougah","submitted_at":"2024-12-06T15:29:48Z","abstract_excerpt":"This paper presents a differentiable optimization framework for the design of constrained Linear Differential Microphone Arrays (LDMAs). The proposed method leverages a non-uniform delay-and-sum beamformer as a light-weight base system model, proving its ability to achieve the optimal beampattern of LDMAs by jointly optimizing microphone positions and filter weights. The formulation enables the optimized design of a filter with a distortion-free constraint in the desired sound direction, while also imposing constraints on microphone positioning to ensure consistent performance. Through evaluat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.05123","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/2412.05123/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":"2026-06-03T01:05:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/ESq947ytHG5qWjgyv75/Bls1pj+Goudy90uSemRhvzUqg9z7rsmdPlKgAqkNpj76gxpWmn61yzu9SlI/VNZBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T15:56:25.917053Z"},"content_sha256":"3adba00a599ab112878c47e23f4a60f512ca2f4bf2cfa6e0a58c7eaf0b91feab","schema_version":"1.0","event_id":"sha256:3adba00a599ab112878c47e23f4a60f512ca2f4bf2cfa6e0a58c7eaf0b91feab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5HTWHU3RCXUHQ7I6HTH2RKIJ6W/bundle.json","state_url":"https://pith.science/pith/5HTWHU3RCXUHQ7I6HTH2RKIJ6W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5HTWHU3RCXUHQ7I6HTH2RKIJ6W/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":"2026-06-08T15:56:25Z","links":{"resolver":"https://pith.science/pith/5HTWHU3RCXUHQ7I6HTH2RKIJ6W","bundle":"https://pith.science/pith/5HTWHU3RCXUHQ7I6HTH2RKIJ6W/bundle.json","state":"https://pith.science/pith/5HTWHU3RCXUHQ7I6HTH2RKIJ6W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5HTWHU3RCXUHQ7I6HTH2RKIJ6W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:5HTWHU3RCXUHQ7I6HTH2RKIJ6W","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":"0317b3c9dad17245a51db8100e7e9c17d27b729228379a391a0e7c3f73b79dd9","cross_cats_sorted":["eess.AS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SD","submitted_at":"2024-12-06T15:29:48Z","title_canon_sha256":"90d1cece4839c27659856b2b83486f3c46631b616c3a51af302d7dc1b8d64c9c"},"schema_version":"1.0","source":{"id":"2412.05123","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.05123","created_at":"2026-06-03T01:05:03Z"},{"alias_kind":"arxiv_version","alias_value":"2412.05123v2","created_at":"2026-06-03T01:05:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.05123","created_at":"2026-06-03T01:05:03Z"},{"alias_kind":"pith_short_12","alias_value":"5HTWHU3RCXUH","created_at":"2026-06-03T01:05:03Z"},{"alias_kind":"pith_short_16","alias_value":"5HTWHU3RCXUHQ7I6","created_at":"2026-06-03T01:05:03Z"},{"alias_kind":"pith_short_8","alias_value":"5HTWHU3R","created_at":"2026-06-03T01:05:03Z"}],"graph_snapshots":[{"event_id":"sha256:3adba00a599ab112878c47e23f4a60f512ca2f4bf2cfa6e0a58c7eaf0b91feab","target":"graph","created_at":"2026-06-03T01:05:03Z","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/2412.05123/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper presents a differentiable optimization framework for the design of constrained Linear Differential Microphone Arrays (LDMAs). The proposed method leverages a non-uniform delay-and-sum beamformer as a light-weight base system model, proving its ability to achieve the optimal beampattern of LDMAs by jointly optimizing microphone positions and filter weights. The formulation enables the optimized design of a filter with a distortion-free constraint in the desired sound direction, while also imposing constraints on microphone positioning to ensure consistent performance. Through evaluat","authors_text":"Ramani Duraiswami, Siminfar Samakoush Galougah","cross_cats":["eess.AS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SD","submitted_at":"2024-12-06T15:29:48Z","title":"Differentiable Optimization of Linear Differential Microphone Arrays: A Joint Geometry and Filter Design Framework"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.05123","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:c043766a8ae23af09f52e75711d93d5bcaf5769edd0e7088bb776426c7f6a7fd","target":"record","created_at":"2026-06-03T01:05:03Z","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":"0317b3c9dad17245a51db8100e7e9c17d27b729228379a391a0e7c3f73b79dd9","cross_cats_sorted":["eess.AS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SD","submitted_at":"2024-12-06T15:29:48Z","title_canon_sha256":"90d1cece4839c27659856b2b83486f3c46631b616c3a51af302d7dc1b8d64c9c"},"schema_version":"1.0","source":{"id":"2412.05123","kind":"arxiv","version":2}},"canonical_sha256":"e9e763d37115e8787d1e3ccfa8a909f5b03290b32293064b59ec6d1229a7bb45","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e9e763d37115e8787d1e3ccfa8a909f5b03290b32293064b59ec6d1229a7bb45","first_computed_at":"2026-06-03T01:05:03.876348Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-03T01:05:03.876348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tc5U7WLR211wjCuHC9Ipt65DFG5xkfkDrDwsZliFtfncgJFQ/vTk9JqldDop5Wp6BgLwgKOvqvQ6ahKnYfUCDA==","signature_status":"signed_v1","signed_at":"2026-06-03T01:05:03.876866Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.05123","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c043766a8ae23af09f52e75711d93d5bcaf5769edd0e7088bb776426c7f6a7fd","sha256:3adba00a599ab112878c47e23f4a60f512ca2f4bf2cfa6e0a58c7eaf0b91feab"],"state_sha256":"1440edc9d06c40a40d385465b706902024a366b6e038dabee17fe6a75214710b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q/PFDS0Veq79+fWW99u6ORL0IYno8IILx46hJhTJlkrvrxXqnJT7FwpQPXrWFDx0fGReeyPQ0t4vtInQu1nFDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T15:56:25.920868Z","bundle_sha256":"b0c447c525f7a7dc933ede2212b4332c1d205bd697c1fbb9055fd9f4a9f3a7b1"}}