{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:C2QQVMO57LRASJZPWIM76KOCXU","short_pith_number":"pith:C2QQVMO5","canonical_record":{"source":{"id":"2406.16304","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2024-06-24T04:04:39Z","cross_cats_sorted":[],"title_canon_sha256":"f9ac06acdb6feb223674a71fee10e0c17771ad1615c28ac93f5f161ae4dde17e","abstract_canon_sha256":"bab8a581bc170cb61461313332b9e82566fb171ebf8637df2f7d64604c5f1417"},"schema_version":"1.0"},"canonical_sha256":"16a10ab1ddfae209272fb219ff29c2bd3e181396f86029fccc9843790c9a6b31","source":{"kind":"arxiv","id":"2406.16304","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.16304","created_at":"2026-07-05T08:35:56Z"},{"alias_kind":"arxiv_version","alias_value":"2406.16304v1","created_at":"2026-07-05T08:35:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.16304","created_at":"2026-07-05T08:35:56Z"},{"alias_kind":"pith_short_12","alias_value":"C2QQVMO57LRA","created_at":"2026-07-05T08:35:56Z"},{"alias_kind":"pith_short_16","alias_value":"C2QQVMO57LRASJZP","created_at":"2026-07-05T08:35:56Z"},{"alias_kind":"pith_short_8","alias_value":"C2QQVMO5","created_at":"2026-07-05T08:35:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:C2QQVMO57LRASJZPWIM76KOCXU","target":"record","payload":{"canonical_record":{"source":{"id":"2406.16304","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2024-06-24T04:04:39Z","cross_cats_sorted":[],"title_canon_sha256":"f9ac06acdb6feb223674a71fee10e0c17771ad1615c28ac93f5f161ae4dde17e","abstract_canon_sha256":"bab8a581bc170cb61461313332b9e82566fb171ebf8637df2f7d64604c5f1417"},"schema_version":"1.0"},"canonical_sha256":"16a10ab1ddfae209272fb219ff29c2bd3e181396f86029fccc9843790c9a6b31","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:35:56.327129Z","signature_b64":"wiuGCnvk9pwVZYlnBImboiHDlmQvWe0JzeKMqkXKUJbhgppN7TtC6vV6AYRd9CdJ4+n/GhiPkBP10gOJEtBFDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16a10ab1ddfae209272fb219ff29c2bd3e181396f86029fccc9843790c9a6b31","last_reissued_at":"2026-07-05T08:35:56.326703Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:35:56.326703Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2406.16304","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":"2026-07-05T08:35:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AOMK6Yoz9FttjntrIrCnW3JmMGo2lTS3p6Ed/x7bQbuekFaAsrOKPmUbLcxgf3RV9/r4v9sW0MCTiT/WvspzDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T08:16:37.518818Z"},"content_sha256":"2d6b3322cef498b61cc3bd4055ef24225f16a609db0995306e79732d0dcf9e56","schema_version":"1.0","event_id":"sha256:2d6b3322cef498b61cc3bd4055ef24225f16a609db0995306e79732d0dcf9e56"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:C2QQVMO57LRASJZPWIM76KOCXU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Robust Broadband Beamforming using Bilinear Programming","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"eess.SP","authors_text":"Coleman DeLude, Justin Romberg, Mark A. Davenport, Nakul Singh","submitted_at":"2024-06-24T04:04:39Z","abstract_excerpt":"We introduce a new method for robust beamforming, where the goal is to estimate a signal from array samples when there is uncertainty in the angle of arrival. Our method offers state-of-the-art performance on narrowband signals and is naturally applied to broadband signals. Our beamformer operates by treating the forward model for the array samples as unknown. We show that the \"true\" forward model lies in the linear span of a small number of fixed linear systems. As a result, we can estimate the forward operator and the signal simultaneously by solving a bilinear inverse problem using least sq"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.16304","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/2406.16304/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":"2026-07-05T08:35:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vBv6j2ako4vYSqeCiLtSxVXgXK5HYTenXvnD15qqx+rqYixe1g/UxZZ4xjbhCM650dlWJ12zdAUaDlb0//iUBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T08:16:37.519186Z"},"content_sha256":"ad184686d11ae63aa0c1ff0b413fbf7f3f62a84c083b3e2680c7d4a1b2f66bf8","schema_version":"1.0","event_id":"sha256:ad184686d11ae63aa0c1ff0b413fbf7f3f62a84c083b3e2680c7d4a1b2f66bf8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C2QQVMO57LRASJZPWIM76KOCXU/bundle.json","state_url":"https://pith.science/pith/C2QQVMO57LRASJZPWIM76KOCXU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C2QQVMO57LRASJZPWIM76KOCXU/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":"2026-07-07T08:16:37Z","links":{"resolver":"https://pith.science/pith/C2QQVMO57LRASJZPWIM76KOCXU","bundle":"https://pith.science/pith/C2QQVMO57LRASJZPWIM76KOCXU/bundle.json","state":"https://pith.science/pith/C2QQVMO57LRASJZPWIM76KOCXU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C2QQVMO57LRASJZPWIM76KOCXU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:C2QQVMO57LRASJZPWIM76KOCXU","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":"bab8a581bc170cb61461313332b9e82566fb171ebf8637df2f7d64604c5f1417","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2024-06-24T04:04:39Z","title_canon_sha256":"f9ac06acdb6feb223674a71fee10e0c17771ad1615c28ac93f5f161ae4dde17e"},"schema_version":"1.0","source":{"id":"2406.16304","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.16304","created_at":"2026-07-05T08:35:56Z"},{"alias_kind":"arxiv_version","alias_value":"2406.16304v1","created_at":"2026-07-05T08:35:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.16304","created_at":"2026-07-05T08:35:56Z"},{"alias_kind":"pith_short_12","alias_value":"C2QQVMO57LRA","created_at":"2026-07-05T08:35:56Z"},{"alias_kind":"pith_short_16","alias_value":"C2QQVMO57LRASJZP","created_at":"2026-07-05T08:35:56Z"},{"alias_kind":"pith_short_8","alias_value":"C2QQVMO5","created_at":"2026-07-05T08:35:56Z"}],"graph_snapshots":[{"event_id":"sha256:ad184686d11ae63aa0c1ff0b413fbf7f3f62a84c083b3e2680c7d4a1b2f66bf8","target":"graph","created_at":"2026-07-05T08:35:56Z","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/2406.16304/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a new method for robust beamforming, where the goal is to estimate a signal from array samples when there is uncertainty in the angle of arrival. Our method offers state-of-the-art performance on narrowband signals and is naturally applied to broadband signals. Our beamformer operates by treating the forward model for the array samples as unknown. We show that the \"true\" forward model lies in the linear span of a small number of fixed linear systems. As a result, we can estimate the forward operator and the signal simultaneously by solving a bilinear inverse problem using least sq","authors_text":"Coleman DeLude, Justin Romberg, Mark A. Davenport, Nakul Singh","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2024-06-24T04:04:39Z","title":"Robust Broadband Beamforming using Bilinear Programming"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.16304","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":"sha256:2d6b3322cef498b61cc3bd4055ef24225f16a609db0995306e79732d0dcf9e56","target":"record","created_at":"2026-07-05T08:35:56Z","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":"bab8a581bc170cb61461313332b9e82566fb171ebf8637df2f7d64604c5f1417","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2024-06-24T04:04:39Z","title_canon_sha256":"f9ac06acdb6feb223674a71fee10e0c17771ad1615c28ac93f5f161ae4dde17e"},"schema_version":"1.0","source":{"id":"2406.16304","kind":"arxiv","version":1}},"canonical_sha256":"16a10ab1ddfae209272fb219ff29c2bd3e181396f86029fccc9843790c9a6b31","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16a10ab1ddfae209272fb219ff29c2bd3e181396f86029fccc9843790c9a6b31","first_computed_at":"2026-07-05T08:35:56.326703Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:35:56.326703Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wiuGCnvk9pwVZYlnBImboiHDlmQvWe0JzeKMqkXKUJbhgppN7TtC6vV6AYRd9CdJ4+n/GhiPkBP10gOJEtBFDw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:35:56.327129Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.16304","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d6b3322cef498b61cc3bd4055ef24225f16a609db0995306e79732d0dcf9e56","sha256:ad184686d11ae63aa0c1ff0b413fbf7f3f62a84c083b3e2680c7d4a1b2f66bf8"],"state_sha256":"1252631716306063eeace2bad33b7498ace9dce16ea9ae5e4944234f41602f8a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2yMXCsfy1lQ6VV3hb7iaALmoh5VPCpA6mpC8HnkWMcJTCR+7xJlYYSt6oKv3ehNASPQ79KwDiw6Rgjemi52kAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T08:16:37.521395Z","bundle_sha256":"5952dfd844be4ab77fb3f83bea33d0bc3ad00c1ceedb6ae09dd8c194698250de"}}