{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:5XBXQ4BKY2UPML7EVDKJ6MGAQB","short_pith_number":"pith:5XBXQ4BK","canonical_record":{"source":{"id":"1303.2799","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-03-12T08:12:54Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"c1a73823473e96de0c082540e00fe79acd25f68f193234308df91178fe4f2459","abstract_canon_sha256":"b3873a56e3d5e663fbe466471879195170d6d1207b125da41943c09843de7667"},"schema_version":"1.0"},"canonical_sha256":"edc378702ac6a8f62fe4a8d49f30c080448b53a59244b5859b86f652d8e2a093","source":{"kind":"arxiv","id":"1303.2799","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.2799","created_at":"2026-05-18T03:25:15Z"},{"alias_kind":"arxiv_version","alias_value":"1303.2799v3","created_at":"2026-05-18T03:25:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.2799","created_at":"2026-05-18T03:25:15Z"},{"alias_kind":"pith_short_12","alias_value":"5XBXQ4BKY2UP","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5XBXQ4BKY2UPML7E","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5XBXQ4BK","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:5XBXQ4BKY2UPML7EVDKJ6MGAQB","target":"record","payload":{"canonical_record":{"source":{"id":"1303.2799","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-03-12T08:12:54Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"c1a73823473e96de0c082540e00fe79acd25f68f193234308df91178fe4f2459","abstract_canon_sha256":"b3873a56e3d5e663fbe466471879195170d6d1207b125da41943c09843de7667"},"schema_version":"1.0"},"canonical_sha256":"edc378702ac6a8f62fe4a8d49f30c080448b53a59244b5859b86f652d8e2a093","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:25:15.778414Z","signature_b64":"Q+GBZd5hkUXfelY34ov4dBcp6Ee8hefIlR9h4DZo8cUf+9TeV0XNOs77mlShW88zG9R51apk7SlicDHXLJWpCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"edc378702ac6a8f62fe4a8d49f30c080448b53a59244b5859b86f652d8e2a093","last_reissued_at":"2026-05-18T03:25:15.777849Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:25:15.777849Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.2799","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:25:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4y5gurWXOgcLqcdREREeO4nuksdqRedmgryFk5Xa1RmE4hyusXBtXi8nLt+uuumKMu9kIUniQZISAN6EBL0sBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:26:30.105723Z"},"content_sha256":"1708cf809399d3ec6bc1d8ae35c304b3c744413404734d8a56c47f2375d0680e","schema_version":"1.0","event_id":"sha256:1708cf809399d3ec6bc1d8ae35c304b3c744413404734d8a56c47f2375d0680e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:5XBXQ4BKY2UPML7EVDKJ6MGAQB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spectral Compressive Sensing with Polar Interpolation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Hamid Dadkhahi, Karsten Fyhn, Marco F. Duarte","submitted_at":"2013-03-12T08:12:54Z","abstract_excerpt":"Existing approaches to compressive sensing of frequency-sparse signals focuses on signal recovery rather than spectral estimation. Furthermore, the recovery performance is limited by the coherence of the required sparsity dictionaries and by the discretization of the frequency parameter space. In this paper, we introduce a greedy recovery algorithm that leverages a band-exclusion function and a polar interpolation function to address these two issues in spectral compressive sensing. Our algorithm is geared towards line spectral estimation from compressive measurements and outperforms most exis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.2799","kind":"arxiv","version":3},"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":"2026-05-18T03:25:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YT5J1L2BJlod5aD/jko5ED1Z0xFop5vUsXnz8Q9c17HsoJ+IQRvfy7ukkvfMkZ8QQRu0PjMsHu2CmdtdueQqCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:26:30.106408Z"},"content_sha256":"b2557b20e9cc72619905e1dfd3f785f79dfc925d2782037dabe6acbd34a17b08","schema_version":"1.0","event_id":"sha256:b2557b20e9cc72619905e1dfd3f785f79dfc925d2782037dabe6acbd34a17b08"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5XBXQ4BKY2UPML7EVDKJ6MGAQB/bundle.json","state_url":"https://pith.science/pith/5XBXQ4BKY2UPML7EVDKJ6MGAQB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5XBXQ4BKY2UPML7EVDKJ6MGAQB/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":"2026-05-27T09:26:30Z","links":{"resolver":"https://pith.science/pith/5XBXQ4BKY2UPML7EVDKJ6MGAQB","bundle":"https://pith.science/pith/5XBXQ4BKY2UPML7EVDKJ6MGAQB/bundle.json","state":"https://pith.science/pith/5XBXQ4BKY2UPML7EVDKJ6MGAQB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5XBXQ4BKY2UPML7EVDKJ6MGAQB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:5XBXQ4BKY2UPML7EVDKJ6MGAQB","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":"b3873a56e3d5e663fbe466471879195170d6d1207b125da41943c09843de7667","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-03-12T08:12:54Z","title_canon_sha256":"c1a73823473e96de0c082540e00fe79acd25f68f193234308df91178fe4f2459"},"schema_version":"1.0","source":{"id":"1303.2799","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.2799","created_at":"2026-05-18T03:25:15Z"},{"alias_kind":"arxiv_version","alias_value":"1303.2799v3","created_at":"2026-05-18T03:25:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.2799","created_at":"2026-05-18T03:25:15Z"},{"alias_kind":"pith_short_12","alias_value":"5XBXQ4BKY2UP","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5XBXQ4BKY2UPML7E","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5XBXQ4BK","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:b2557b20e9cc72619905e1dfd3f785f79dfc925d2782037dabe6acbd34a17b08","target":"graph","created_at":"2026-05-18T03:25:15Z","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":"Existing approaches to compressive sensing of frequency-sparse signals focuses on signal recovery rather than spectral estimation. Furthermore, the recovery performance is limited by the coherence of the required sparsity dictionaries and by the discretization of the frequency parameter space. In this paper, we introduce a greedy recovery algorithm that leverages a band-exclusion function and a polar interpolation function to address these two issues in spectral compressive sensing. Our algorithm is geared towards line spectral estimation from compressive measurements and outperforms most exis","authors_text":"Hamid Dadkhahi, Karsten Fyhn, Marco F. Duarte","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-03-12T08:12:54Z","title":"Spectral Compressive Sensing with Polar Interpolation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.2799","kind":"arxiv","version":3},"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":"sha256:1708cf809399d3ec6bc1d8ae35c304b3c744413404734d8a56c47f2375d0680e","target":"record","created_at":"2026-05-18T03:25:15Z","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":"b3873a56e3d5e663fbe466471879195170d6d1207b125da41943c09843de7667","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-03-12T08:12:54Z","title_canon_sha256":"c1a73823473e96de0c082540e00fe79acd25f68f193234308df91178fe4f2459"},"schema_version":"1.0","source":{"id":"1303.2799","kind":"arxiv","version":3}},"canonical_sha256":"edc378702ac6a8f62fe4a8d49f30c080448b53a59244b5859b86f652d8e2a093","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"edc378702ac6a8f62fe4a8d49f30c080448b53a59244b5859b86f652d8e2a093","first_computed_at":"2026-05-18T03:25:15.777849Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:15.777849Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q+GBZd5hkUXfelY34ov4dBcp6Ee8hefIlR9h4DZo8cUf+9TeV0XNOs77mlShW88zG9R51apk7SlicDHXLJWpCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:15.778414Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.2799","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1708cf809399d3ec6bc1d8ae35c304b3c744413404734d8a56c47f2375d0680e","sha256:b2557b20e9cc72619905e1dfd3f785f79dfc925d2782037dabe6acbd34a17b08"],"state_sha256":"f07c567bceaf7995872104fa3fdc3b552bf2780e8ae0438a5401ca3a69b54d5d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DQOq+ZrVLT8sHbSt/bEUKQfKvqjCHRaej5/pPhjXaIoZZWcWP6JZYHLgNxQYjl5AP3jMj7OYYaz24TQhkQeMBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T09:26:30.109768Z","bundle_sha256":"753072313da915ad6441d2c63bdbf40727524549793957740037fd040da5eb3b"}}