{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:VB4BFH3AIDY6I4XP3CBWWV7AVX","short_pith_number":"pith:VB4BFH3A","canonical_record":{"source":{"id":"1109.4173","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-09-19T21:01:27Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"5bf189acfdc53f08302b382ab7a901d58c97515d99c9367cdeb65a83b64e3a2c","abstract_canon_sha256":"01781a5a0ff9ecf119a5ae4d88a15500d90608cdbcf13f02ed2a043d3dff2c1a"},"schema_version":"1.0"},"canonical_sha256":"a878129f6040f1e472efd8836b57e0ade3544f32c817c3accc9b02cd50407322","source":{"kind":"arxiv","id":"1109.4173","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.4173","created_at":"2026-05-18T04:12:44Z"},{"alias_kind":"arxiv_version","alias_value":"1109.4173v1","created_at":"2026-05-18T04:12:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.4173","created_at":"2026-05-18T04:12:44Z"},{"alias_kind":"pith_short_12","alias_value":"VB4BFH3AIDY6","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"VB4BFH3AIDY6I4XP","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"VB4BFH3A","created_at":"2026-05-18T12:26:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:VB4BFH3AIDY6I4XP3CBWWV7AVX","target":"record","payload":{"canonical_record":{"source":{"id":"1109.4173","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-09-19T21:01:27Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"5bf189acfdc53f08302b382ab7a901d58c97515d99c9367cdeb65a83b64e3a2c","abstract_canon_sha256":"01781a5a0ff9ecf119a5ae4d88a15500d90608cdbcf13f02ed2a043d3dff2c1a"},"schema_version":"1.0"},"canonical_sha256":"a878129f6040f1e472efd8836b57e0ade3544f32c817c3accc9b02cd50407322","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:12:44.063619Z","signature_b64":"r64HepcX0kBmPX/bMoCzM32eDjr2IxsSJ/beE9Ydim5RFKAaXIx9Sl4JuXHfXW54hTP5NOCd6Ts9Bp5VLOvRCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a878129f6040f1e472efd8836b57e0ade3544f32c817c3accc9b02cd50407322","last_reissued_at":"2026-05-18T04:12:44.062936Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:12:44.062936Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.4173","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":"2026-05-18T04:12:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h4MUD0XkKwSZSTV20ddULbNNJzYSHv1qdA/IkpeFVdAA303ES2WSKhc1PlOdzFnilbKC0KLZBxNkS4vosWBwAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T12:41:42.749233Z"},"content_sha256":"b9950fd32fad1bec97dbe52008538ab6fb099454bd524197a54b7bcb968c6cea","schema_version":"1.0","event_id":"sha256:b9950fd32fad1bec97dbe52008538ab6fb099454bd524197a54b7bcb968c6cea"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:VB4BFH3AIDY6I4XP3CBWWV7AVX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Energy-Efficient Full Diversity Collaborative Unitary Space-Time Block Code Design via Unique Factorization of Signals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Dong Xia, Jian-Kang Zhang, Sorina Dumitrescu","submitted_at":"2011-09-19T21:01:27Z","abstract_excerpt":"In this paper, a novel concept called a \\textit{uniquely factorable constellation pair} (UFCP) is proposed for the systematic design of a noncoherent full diversity collaborative unitary space-time block code by normalizing two Alamouti codes for a wireless communication system having two transmitter antennas and a single receiver antenna. It is proved that such a unitary UFCP code assures the unique identification of both channel coefficients and transmitted signals in a noise-free case as well as full diversity for the noncoherent maximum likelihood (ML) receiver in a noise case. To further "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.4173","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":"2026-05-18T04:12:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fSPahYC286NE8YSTgoZxtf8oW61B7s87VjzWhzMzpZNcdDAM45n68xFO1/49uQe2H3sObr1XEJeBrxZWyuaVCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T12:41:42.749899Z"},"content_sha256":"6dbf1e09e1046049b4ad2568ce64dcdd859f6462baf6b824b2a6855bc6797f4e","schema_version":"1.0","event_id":"sha256:6dbf1e09e1046049b4ad2568ce64dcdd859f6462baf6b824b2a6855bc6797f4e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VB4BFH3AIDY6I4XP3CBWWV7AVX/bundle.json","state_url":"https://pith.science/pith/VB4BFH3AIDY6I4XP3CBWWV7AVX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VB4BFH3AIDY6I4XP3CBWWV7AVX/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":"2026-06-07T12:41:42Z","links":{"resolver":"https://pith.science/pith/VB4BFH3AIDY6I4XP3CBWWV7AVX","bundle":"https://pith.science/pith/VB4BFH3AIDY6I4XP3CBWWV7AVX/bundle.json","state":"https://pith.science/pith/VB4BFH3AIDY6I4XP3CBWWV7AVX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VB4BFH3AIDY6I4XP3CBWWV7AVX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:VB4BFH3AIDY6I4XP3CBWWV7AVX","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":"01781a5a0ff9ecf119a5ae4d88a15500d90608cdbcf13f02ed2a043d3dff2c1a","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-09-19T21:01:27Z","title_canon_sha256":"5bf189acfdc53f08302b382ab7a901d58c97515d99c9367cdeb65a83b64e3a2c"},"schema_version":"1.0","source":{"id":"1109.4173","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.4173","created_at":"2026-05-18T04:12:44Z"},{"alias_kind":"arxiv_version","alias_value":"1109.4173v1","created_at":"2026-05-18T04:12:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.4173","created_at":"2026-05-18T04:12:44Z"},{"alias_kind":"pith_short_12","alias_value":"VB4BFH3AIDY6","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"VB4BFH3AIDY6I4XP","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"VB4BFH3A","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:6dbf1e09e1046049b4ad2568ce64dcdd859f6462baf6b824b2a6855bc6797f4e","target":"graph","created_at":"2026-05-18T04:12:44Z","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":"In this paper, a novel concept called a \\textit{uniquely factorable constellation pair} (UFCP) is proposed for the systematic design of a noncoherent full diversity collaborative unitary space-time block code by normalizing two Alamouti codes for a wireless communication system having two transmitter antennas and a single receiver antenna. It is proved that such a unitary UFCP code assures the unique identification of both channel coefficients and transmitted signals in a noise-free case as well as full diversity for the noncoherent maximum likelihood (ML) receiver in a noise case. To further ","authors_text":"Dong Xia, Jian-Kang Zhang, Sorina Dumitrescu","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-09-19T21:01:27Z","title":"Energy-Efficient Full Diversity Collaborative Unitary Space-Time Block Code Design via Unique Factorization of Signals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.4173","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:b9950fd32fad1bec97dbe52008538ab6fb099454bd524197a54b7bcb968c6cea","target":"record","created_at":"2026-05-18T04:12:44Z","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":"01781a5a0ff9ecf119a5ae4d88a15500d90608cdbcf13f02ed2a043d3dff2c1a","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-09-19T21:01:27Z","title_canon_sha256":"5bf189acfdc53f08302b382ab7a901d58c97515d99c9367cdeb65a83b64e3a2c"},"schema_version":"1.0","source":{"id":"1109.4173","kind":"arxiv","version":1}},"canonical_sha256":"a878129f6040f1e472efd8836b57e0ade3544f32c817c3accc9b02cd50407322","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a878129f6040f1e472efd8836b57e0ade3544f32c817c3accc9b02cd50407322","first_computed_at":"2026-05-18T04:12:44.062936Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:12:44.062936Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r64HepcX0kBmPX/bMoCzM32eDjr2IxsSJ/beE9Ydim5RFKAaXIx9Sl4JuXHfXW54hTP5NOCd6Ts9Bp5VLOvRCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:12:44.063619Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.4173","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b9950fd32fad1bec97dbe52008538ab6fb099454bd524197a54b7bcb968c6cea","sha256:6dbf1e09e1046049b4ad2568ce64dcdd859f6462baf6b824b2a6855bc6797f4e"],"state_sha256":"4bf99a12eaa3fcf651fce1047db5fcef6e4a45f013562b34b05bb0930af4678b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HTBQd9XiVQ4vLILWgqwkBDdCwDcyrbUn3Sh6jb6LipRd4P/BP0Niw1iGLJ9ryZkig42+2oeY/3L/gr13r2SzBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T12:41:42.753301Z","bundle_sha256":"4a6d0e0542994f7b20375003a08892e1c10547a41957718a5a9ed08089da800b"}}