{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:LLD6Y6BWY7Q4UMGYA43UQDGM7F","short_pith_number":"pith:LLD6Y6BW","canonical_record":{"source":{"id":"1004.2131","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-04-13T09:33:17Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"c896091bf3fefee7b01d0f1e85f769dc74f71e8f2157ad58ec3263eaa62d21df","abstract_canon_sha256":"837106b5efbf3c48a49ba159457c1e487702a99f89af2197475db574efb0966d"},"schema_version":"1.0"},"canonical_sha256":"5ac7ec7836c7e1ca30d80737480cccf946df22d5f9bf40dcd95d96555852303b","source":{"kind":"arxiv","id":"1004.2131","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.2131","created_at":"2026-05-18T02:24:16Z"},{"alias_kind":"arxiv_version","alias_value":"1004.2131v1","created_at":"2026-05-18T02:24:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.2131","created_at":"2026-05-18T02:24:16Z"},{"alias_kind":"pith_short_12","alias_value":"LLD6Y6BWY7Q4","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"LLD6Y6BWY7Q4UMGY","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"LLD6Y6BW","created_at":"2026-05-18T12:26:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:LLD6Y6BWY7Q4UMGYA43UQDGM7F","target":"record","payload":{"canonical_record":{"source":{"id":"1004.2131","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-04-13T09:33:17Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"c896091bf3fefee7b01d0f1e85f769dc74f71e8f2157ad58ec3263eaa62d21df","abstract_canon_sha256":"837106b5efbf3c48a49ba159457c1e487702a99f89af2197475db574efb0966d"},"schema_version":"1.0"},"canonical_sha256":"5ac7ec7836c7e1ca30d80737480cccf946df22d5f9bf40dcd95d96555852303b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:24:16.723216Z","signature_b64":"iwG12OHomUZ2/20WSyaUEGkAJGvPYCpRKxohVfufu+b31eXFUIqxcHQuBtaPBlUzFjRN6jki8GtkyIHC6o1cBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5ac7ec7836c7e1ca30d80737480cccf946df22d5f9bf40dcd95d96555852303b","last_reissued_at":"2026-05-18T02:24:16.722523Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:24:16.722523Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1004.2131","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":"2026-05-18T02:24:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t6i1+94uKp1HJsih6h9H7XxkrG6EAMdYWKaNTc3C9w4ERZpSchMlag9kk5JM7NIGorw6pahtf/32TShPJI8yBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T01:08:38.724885Z"},"content_sha256":"5e27af8db5058c1f06f0155b901fdd20bba69764decabc6dd86f6920d383af95","schema_version":"1.0","event_id":"sha256:5e27af8db5058c1f06f0155b901fdd20bba69764decabc6dd86f6920d383af95"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:LLD6Y6BWY7Q4UMGYA43UQDGM7F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A New Full-diversity Criterion and Low-complexity STBCs with Partial Interference Cancellation Decoding","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"B. Sundar Rajan, Lakshmi Prasad Natarajan","submitted_at":"2010-04-13T09:33:17Z","abstract_excerpt":"Recently, Guo and Xia gave sufficient conditions for an STBC to achieve full diversity when a PIC (Partial Interference Cancellation) or a PIC-SIC (PIC with Successive Interference Cancellation) decoder is used at the receiver. In this paper, we give alternative conditions for an STBC to achieve full diversity with PIC and PIC-SIC decoders, which are equivalent to Guo and Xia's conditions, but are much easier to check. Using these conditions, we construct a new class of full diversity PIC-SIC decodable codes, which contain the Toeplitz codes and a family of codes recently proposed by Zhang, Xu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.2131","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":"2026-05-18T02:24:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CZH3Nh4tKaNjZMB0TnUdn1XaIahHF5XsRNQgskf3FhovTihDgOqsZuP6SDWVIsTKtU9YBg82bxI+8R0zFpCWDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T01:08:38.725458Z"},"content_sha256":"2dfceaecb10e1123f68f66ae588114150ac59ffcd0a6bcd70edf6d68d82998b0","schema_version":"1.0","event_id":"sha256:2dfceaecb10e1123f68f66ae588114150ac59ffcd0a6bcd70edf6d68d82998b0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LLD6Y6BWY7Q4UMGYA43UQDGM7F/bundle.json","state_url":"https://pith.science/pith/LLD6Y6BWY7Q4UMGYA43UQDGM7F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LLD6Y6BWY7Q4UMGYA43UQDGM7F/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":"2026-06-05T01:08:38Z","links":{"resolver":"https://pith.science/pith/LLD6Y6BWY7Q4UMGYA43UQDGM7F","bundle":"https://pith.science/pith/LLD6Y6BWY7Q4UMGYA43UQDGM7F/bundle.json","state":"https://pith.science/pith/LLD6Y6BWY7Q4UMGYA43UQDGM7F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LLD6Y6BWY7Q4UMGYA43UQDGM7F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:LLD6Y6BWY7Q4UMGYA43UQDGM7F","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":"837106b5efbf3c48a49ba159457c1e487702a99f89af2197475db574efb0966d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-04-13T09:33:17Z","title_canon_sha256":"c896091bf3fefee7b01d0f1e85f769dc74f71e8f2157ad58ec3263eaa62d21df"},"schema_version":"1.0","source":{"id":"1004.2131","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.2131","created_at":"2026-05-18T02:24:16Z"},{"alias_kind":"arxiv_version","alias_value":"1004.2131v1","created_at":"2026-05-18T02:24:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.2131","created_at":"2026-05-18T02:24:16Z"},{"alias_kind":"pith_short_12","alias_value":"LLD6Y6BWY7Q4","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"LLD6Y6BWY7Q4UMGY","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"LLD6Y6BW","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:2dfceaecb10e1123f68f66ae588114150ac59ffcd0a6bcd70edf6d68d82998b0","target":"graph","created_at":"2026-05-18T02:24:16Z","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":"Recently, Guo and Xia gave sufficient conditions for an STBC to achieve full diversity when a PIC (Partial Interference Cancellation) or a PIC-SIC (PIC with Successive Interference Cancellation) decoder is used at the receiver. In this paper, we give alternative conditions for an STBC to achieve full diversity with PIC and PIC-SIC decoders, which are equivalent to Guo and Xia's conditions, but are much easier to check. Using these conditions, we construct a new class of full diversity PIC-SIC decodable codes, which contain the Toeplitz codes and a family of codes recently proposed by Zhang, Xu","authors_text":"B. Sundar Rajan, Lakshmi Prasad Natarajan","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-04-13T09:33:17Z","title":"A New Full-diversity Criterion and Low-complexity STBCs with Partial Interference Cancellation Decoding"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.2131","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":"sha256:5e27af8db5058c1f06f0155b901fdd20bba69764decabc6dd86f6920d383af95","target":"record","created_at":"2026-05-18T02:24:16Z","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":"837106b5efbf3c48a49ba159457c1e487702a99f89af2197475db574efb0966d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-04-13T09:33:17Z","title_canon_sha256":"c896091bf3fefee7b01d0f1e85f769dc74f71e8f2157ad58ec3263eaa62d21df"},"schema_version":"1.0","source":{"id":"1004.2131","kind":"arxiv","version":1}},"canonical_sha256":"5ac7ec7836c7e1ca30d80737480cccf946df22d5f9bf40dcd95d96555852303b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5ac7ec7836c7e1ca30d80737480cccf946df22d5f9bf40dcd95d96555852303b","first_computed_at":"2026-05-18T02:24:16.722523Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:24:16.722523Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iwG12OHomUZ2/20WSyaUEGkAJGvPYCpRKxohVfufu+b31eXFUIqxcHQuBtaPBlUzFjRN6jki8GtkyIHC6o1cBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:24:16.723216Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.2131","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e27af8db5058c1f06f0155b901fdd20bba69764decabc6dd86f6920d383af95","sha256:2dfceaecb10e1123f68f66ae588114150ac59ffcd0a6bcd70edf6d68d82998b0"],"state_sha256":"dbbc96350203e88a1353fa81b172f0dc3399aef19a77ef6cb28dba1ce7394cd7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ACCtfBlIa8V3piSWLUwOiB/CH7pirYnIK3ta0wqSxod7KByJjpkrMzsY0ma/nkmEGVAfen3pbPSlAHO7rIn9DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T01:08:38.728598Z","bundle_sha256":"ffb091a4ab75880649c5ee167a4e18a284ef2d27d8da0c96593029a03df8b487"}}