{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:CXZRVPXC2PKF73HOROZYBVDGII","short_pith_number":"pith:CXZRVPXC","canonical_record":{"source":{"id":"1705.00680","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-01T19:38:05Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"b5de09093db5405b874a547b8a1432a3fd18a42deb76cfd4b487388573b2dc13","abstract_canon_sha256":"2752445ef08b0d8ba1b0e360c3ee151db6573b5b5c85422221118d7c24d9f061"},"schema_version":"1.0"},"canonical_sha256":"15f31abee2d3d45fecee8bb380d46642192a4f5d860e2d72eb754232e937744e","source":{"kind":"arxiv","id":"1705.00680","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.00680","created_at":"2026-05-18T00:45:10Z"},{"alias_kind":"arxiv_version","alias_value":"1705.00680v1","created_at":"2026-05-18T00:45:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.00680","created_at":"2026-05-18T00:45:10Z"},{"alias_kind":"pith_short_12","alias_value":"CXZRVPXC2PKF","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CXZRVPXC2PKF73HO","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CXZRVPXC","created_at":"2026-05-18T12:31:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:CXZRVPXC2PKF73HOROZYBVDGII","target":"record","payload":{"canonical_record":{"source":{"id":"1705.00680","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-01T19:38:05Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"b5de09093db5405b874a547b8a1432a3fd18a42deb76cfd4b487388573b2dc13","abstract_canon_sha256":"2752445ef08b0d8ba1b0e360c3ee151db6573b5b5c85422221118d7c24d9f061"},"schema_version":"1.0"},"canonical_sha256":"15f31abee2d3d45fecee8bb380d46642192a4f5d860e2d72eb754232e937744e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:10.180333Z","signature_b64":"sV9hdeqzYguCxC/ewUB6BnfPxjGF59nmzT2nUTObxr+a44nTdoaYKo27rp1aVxoKNLcwsLo6NKKe9UVtvjq0DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"15f31abee2d3d45fecee8bb380d46642192a4f5d860e2d72eb754232e937744e","last_reissued_at":"2026-05-18T00:45:10.179672Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:10.179672Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.00680","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":"2026-05-18T00:45:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UYt/a7P+uQkRXhxXB/NkR5FrSTF6WBjLU1xoLX80M7m2cQm0oz02YYXvhCzVrUB5tXfXgWxQVgyiagZHfuRQCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T07:27:03.593678Z"},"content_sha256":"9c9d694b307616873afa5966ebd218a6eea33a9af0e456b5c174ba1627618af1","schema_version":"1.0","event_id":"sha256:9c9d694b307616873afa5966ebd218a6eea33a9af0e456b5c174ba1627618af1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:CXZRVPXC2PKF73HOROZYBVDGII","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Thinned Coprime Arrays for DOA Estimation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Ahsan Raza, Qing Shen, Wei Liu","submitted_at":"2017-05-01T19:38:05Z","abstract_excerpt":"Sparse arrays can generate a larger aperture than traditional uniform linear arrays (ULA) and offer enhanced degrees-of-freedom (DOFs) which can be exploited in both beamforming and direction-of-arrival (DOA) estimation. One class of sparse arrays is the coprime array, composed of two uniform linear subarrays which yield an effective difference co-array with higher number of DOFs. In this work, we present a new coprime array structure termed thinned coprime array (TCA), which exploits the redundancy in the structure of the existing coprime array and achieves the same virtual aperture and DOFs "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.00680","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":""},"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":"2026-05-18T00:45:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ce8LYQWTj27s/MaJh5177yISc0Dxrjbot39MNNFVqIOOeT+Rn125mn5vnjiVW+lP56effkGQ9qdtQCB0uY8hCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T07:27:03.594370Z"},"content_sha256":"3038eb29cf4703916a03ace24a5545b561f9a86d8444be7802fccaa2b2499098","schema_version":"1.0","event_id":"sha256:3038eb29cf4703916a03ace24a5545b561f9a86d8444be7802fccaa2b2499098"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CXZRVPXC2PKF73HOROZYBVDGII/bundle.json","state_url":"https://pith.science/pith/CXZRVPXC2PKF73HOROZYBVDGII/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CXZRVPXC2PKF73HOROZYBVDGII/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":"2026-06-10T07:27:03Z","links":{"resolver":"https://pith.science/pith/CXZRVPXC2PKF73HOROZYBVDGII","bundle":"https://pith.science/pith/CXZRVPXC2PKF73HOROZYBVDGII/bundle.json","state":"https://pith.science/pith/CXZRVPXC2PKF73HOROZYBVDGII/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CXZRVPXC2PKF73HOROZYBVDGII/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:CXZRVPXC2PKF73HOROZYBVDGII","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":"2752445ef08b0d8ba1b0e360c3ee151db6573b5b5c85422221118d7c24d9f061","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-01T19:38:05Z","title_canon_sha256":"b5de09093db5405b874a547b8a1432a3fd18a42deb76cfd4b487388573b2dc13"},"schema_version":"1.0","source":{"id":"1705.00680","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.00680","created_at":"2026-05-18T00:45:10Z"},{"alias_kind":"arxiv_version","alias_value":"1705.00680v1","created_at":"2026-05-18T00:45:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.00680","created_at":"2026-05-18T00:45:10Z"},{"alias_kind":"pith_short_12","alias_value":"CXZRVPXC2PKF","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CXZRVPXC2PKF73HO","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CXZRVPXC","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:3038eb29cf4703916a03ace24a5545b561f9a86d8444be7802fccaa2b2499098","target":"graph","created_at":"2026-05-18T00:45:10Z","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":"Sparse arrays can generate a larger aperture than traditional uniform linear arrays (ULA) and offer enhanced degrees-of-freedom (DOFs) which can be exploited in both beamforming and direction-of-arrival (DOA) estimation. One class of sparse arrays is the coprime array, composed of two uniform linear subarrays which yield an effective difference co-array with higher number of DOFs. In this work, we present a new coprime array structure termed thinned coprime array (TCA), which exploits the redundancy in the structure of the existing coprime array and achieves the same virtual aperture and DOFs ","authors_text":"Ahsan Raza, Qing Shen, Wei Liu","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-01T19:38:05Z","title":"Thinned Coprime Arrays for DOA Estimation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.00680","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":"sha256:9c9d694b307616873afa5966ebd218a6eea33a9af0e456b5c174ba1627618af1","target":"record","created_at":"2026-05-18T00:45:10Z","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":"2752445ef08b0d8ba1b0e360c3ee151db6573b5b5c85422221118d7c24d9f061","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-01T19:38:05Z","title_canon_sha256":"b5de09093db5405b874a547b8a1432a3fd18a42deb76cfd4b487388573b2dc13"},"schema_version":"1.0","source":{"id":"1705.00680","kind":"arxiv","version":1}},"canonical_sha256":"15f31abee2d3d45fecee8bb380d46642192a4f5d860e2d72eb754232e937744e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"15f31abee2d3d45fecee8bb380d46642192a4f5d860e2d72eb754232e937744e","first_computed_at":"2026-05-18T00:45:10.179672Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:10.179672Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sV9hdeqzYguCxC/ewUB6BnfPxjGF59nmzT2nUTObxr+a44nTdoaYKo27rp1aVxoKNLcwsLo6NKKe9UVtvjq0DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:10.180333Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.00680","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9c9d694b307616873afa5966ebd218a6eea33a9af0e456b5c174ba1627618af1","sha256:3038eb29cf4703916a03ace24a5545b561f9a86d8444be7802fccaa2b2499098"],"state_sha256":"3e58ab162c5288fea389998d21f87b3a1cfc55849dbfde82542e4cc3e6895191"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DimEDzvM8QZ0hsQ8hdOv+W7V96yeHoJAPeFQXGxApdPFOwFspJPsOeVCT4sCxX7DXWQ76kIBmn4GCegf3YiCAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T07:27:03.599047Z","bundle_sha256":"c2c17333cc65906855b7d378cec6c39f79994972282fa01cd2942e5019e9e4c4"}}