{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:RVOON44VDQOHHSWGISXIKZDPFW","short_pith_number":"pith:RVOON44V","schema_version":"1.0","canonical_sha256":"8d5ce6f3951c1c73cac644ae85646f2dbc730631c798787c8e646052b91b1029","source":{"kind":"arxiv","id":"2508.12403","version":1},"attestation_state":"computed","paper":{"title":"On the Extension of Differential Beamforming Theory to Arbitrary Planar Arrays of First-Order Elements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["eess.AS"],"primary_cat":"eess.SP","authors_text":"Alberto Bernardini, Davide Albertini, Federico Miotello","submitted_at":"2025-08-17T15:40:19Z","abstract_excerpt":"Small-size acoustic arrays exploit spatial diversity to achieve capabilities beyond those of single-element devices, with applications ranging from teleconferencing to immersive multimedia. A key requirement for broadband array processing is a frequency-invariant spatial response, which ensures consistent directivity across wide bandwidths and prevents spectral coloration. Differential beamforming offers an inherently frequency-invariant solution by leveraging pressure differences between closely spaced elements of small-size arrays. Traditional approaches, however, assume the array elements t"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2508.12403","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2025-08-17T15:40:19Z","cross_cats_sorted":["eess.AS"],"title_canon_sha256":"6cd4e0bd6abeb144e7babe220d1fa6260e724f9c11a6fa3090a1e6fe61ac0c36","abstract_canon_sha256":"4dbcb7823afeb33f64711d42e85db2635c336e962a5fa2d3914dfbfd9fd1cb8a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:55:05.128124Z","signature_b64":"Avwe0gQcjP4m6iV/FI9X56YqJyMW5t2Nug3ww3+z8hXM1SgP78Uszdn7DWoZMLptJDtYbkFO1H66ptOfL9E9Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8d5ce6f3951c1c73cac644ae85646f2dbc730631c798787c8e646052b91b1029","last_reissued_at":"2026-07-05T11:55:05.127629Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:55:05.127629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Extension of Differential Beamforming Theory to Arbitrary Planar Arrays of First-Order Elements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["eess.AS"],"primary_cat":"eess.SP","authors_text":"Alberto Bernardini, Davide Albertini, Federico Miotello","submitted_at":"2025-08-17T15:40:19Z","abstract_excerpt":"Small-size acoustic arrays exploit spatial diversity to achieve capabilities beyond those of single-element devices, with applications ranging from teleconferencing to immersive multimedia. A key requirement for broadband array processing is a frequency-invariant spatial response, which ensures consistent directivity across wide bandwidths and prevents spectral coloration. Differential beamforming offers an inherently frequency-invariant solution by leveraging pressure differences between closely spaced elements of small-size arrays. Traditional approaches, however, assume the array elements t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.12403","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2508.12403/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2508.12403","created_at":"2026-07-05T11:55:05.127686+00:00"},{"alias_kind":"arxiv_version","alias_value":"2508.12403v1","created_at":"2026-07-05T11:55:05.127686+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.12403","created_at":"2026-07-05T11:55:05.127686+00:00"},{"alias_kind":"pith_short_12","alias_value":"RVOON44VDQOH","created_at":"2026-07-05T11:55:05.127686+00:00"},{"alias_kind":"pith_short_16","alias_value":"RVOON44VDQOHHSWG","created_at":"2026-07-05T11:55:05.127686+00:00"},{"alias_kind":"pith_short_8","alias_value":"RVOON44V","created_at":"2026-07-05T11:55:05.127686+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RVOON44VDQOHHSWGISXIKZDPFW","json":"https://pith.science/pith/RVOON44VDQOHHSWGISXIKZDPFW.json","graph_json":"https://pith.science/api/pith-number/RVOON44VDQOHHSWGISXIKZDPFW/graph.json","events_json":"https://pith.science/api/pith-number/RVOON44VDQOHHSWGISXIKZDPFW/events.json","paper":"https://pith.science/paper/RVOON44V"},"agent_actions":{"view_html":"https://pith.science/pith/RVOON44VDQOHHSWGISXIKZDPFW","download_json":"https://pith.science/pith/RVOON44VDQOHHSWGISXIKZDPFW.json","view_paper":"https://pith.science/paper/RVOON44V","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2508.12403&json=true","fetch_graph":"https://pith.science/api/pith-number/RVOON44VDQOHHSWGISXIKZDPFW/graph.json","fetch_events":"https://pith.science/api/pith-number/RVOON44VDQOHHSWGISXIKZDPFW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RVOON44VDQOHHSWGISXIKZDPFW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RVOON44VDQOHHSWGISXIKZDPFW/action/storage_attestation","attest_author":"https://pith.science/pith/RVOON44VDQOHHSWGISXIKZDPFW/action/author_attestation","sign_citation":"https://pith.science/pith/RVOON44VDQOHHSWGISXIKZDPFW/action/citation_signature","submit_replication":"https://pith.science/pith/RVOON44VDQOHHSWGISXIKZDPFW/action/replication_record"}},"created_at":"2026-07-05T11:55:05.127686+00:00","updated_at":"2026-07-05T11:55:05.127686+00:00"}