{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:DVINUJPH45BQY7M5SJB76HMBUD","short_pith_number":"pith:DVINUJPH","canonical_record":{"source":{"id":"1408.1506","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-08-07T07:57:46Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"547d8a7c2f1e9e7fa96abe5576b98e92d6b3e40292674e867b61e784ed81e190","abstract_canon_sha256":"a1dc526cfeade4b4957fb211473634a1c7e3dff573711d5b1f1d076204b52934"},"schema_version":"1.0"},"canonical_sha256":"1d50da25e7e7430c7d9d9243ff1d81a0d041aaa94840e4554750f90446871a42","source":{"kind":"arxiv","id":"1408.1506","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.1506","created_at":"2026-05-18T00:59:02Z"},{"alias_kind":"arxiv_version","alias_value":"1408.1506v1","created_at":"2026-05-18T00:59:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.1506","created_at":"2026-05-18T00:59:02Z"},{"alias_kind":"pith_short_12","alias_value":"DVINUJPH45BQ","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"DVINUJPH45BQY7M5","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"DVINUJPH","created_at":"2026-05-18T12:28:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:DVINUJPH45BQY7M5SJB76HMBUD","target":"record","payload":{"canonical_record":{"source":{"id":"1408.1506","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-08-07T07:57:46Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"547d8a7c2f1e9e7fa96abe5576b98e92d6b3e40292674e867b61e784ed81e190","abstract_canon_sha256":"a1dc526cfeade4b4957fb211473634a1c7e3dff573711d5b1f1d076204b52934"},"schema_version":"1.0"},"canonical_sha256":"1d50da25e7e7430c7d9d9243ff1d81a0d041aaa94840e4554750f90446871a42","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:59:02.809205Z","signature_b64":"2jNr3A7y5pZloy5v7/rNYqSubz+1FsqVx7hZO0LL/Fqlyhx834L5ChK8V+3wb4Tys1AGR/tLB2D1FIrcvY+aDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1d50da25e7e7430c7d9d9243ff1d81a0d041aaa94840e4554750f90446871a42","last_reissued_at":"2026-05-18T00:59:02.808758Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:59:02.808758Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1408.1506","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":"2026-05-18T00:59:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u1LNZLiia3fAyTPGrfa5aLVkM6xz7bEWz2k74vp9NP5/YAh8GQWp7d9Vg/+Yyl93JbaiGUZrJLJU7l3EM3dMDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T00:21:01.025299Z"},"content_sha256":"9b88293ce688b7c39d06ab3f6bcd3f091b0ccbd66b9979e2fa6c365ae2a08e0f","schema_version":"1.0","event_id":"sha256:9b88293ce688b7c39d06ab3f6bcd3f091b0ccbd66b9979e2fa6c365ae2a08e0f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:DVINUJPH45BQY7M5SJB76HMBUD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Shifted inverse determinant sums and new bounds for the DMT of space-time lattice codes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Jean-Claude Belfiore, Laura Luzzi, Roope Vehkalahti","submitted_at":"2014-08-07T07:57:46Z","abstract_excerpt":"This paper considers shifted inverse determinant sums arising from the union bound of the pairwise error probability for space-time codes in multiple-antenna fading channels. Previous work by Vehkalahti et al. focused on the approximation of these sums for low multiplexing gains, providing a complete classification of the inverse determinant sums as a function of constellation size for the most well-known algebraic space-time codes. This work aims at building a general framework for the study of the shifted sums for all multiplexing gains. New bounds obtained using dyadic summing techniques su"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.1506","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":"2026-05-18T00:59:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q5SLFC7xA9xiE+vY5Fh2QCss5m3757XV2Ub0yk07x8FbtcxpIHhKpF4Nq/rd9vOsuMhJwdT7tiD7uui3XiKUBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T00:21:01.025871Z"},"content_sha256":"5e31249a63c1b7a82e5cc38861d5882cbf91ee4f6493e4e171e88617952addea","schema_version":"1.0","event_id":"sha256:5e31249a63c1b7a82e5cc38861d5882cbf91ee4f6493e4e171e88617952addea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DVINUJPH45BQY7M5SJB76HMBUD/bundle.json","state_url":"https://pith.science/pith/DVINUJPH45BQY7M5SJB76HMBUD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DVINUJPH45BQY7M5SJB76HMBUD/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":"2026-05-27T00:21:01Z","links":{"resolver":"https://pith.science/pith/DVINUJPH45BQY7M5SJB76HMBUD","bundle":"https://pith.science/pith/DVINUJPH45BQY7M5SJB76HMBUD/bundle.json","state":"https://pith.science/pith/DVINUJPH45BQY7M5SJB76HMBUD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DVINUJPH45BQY7M5SJB76HMBUD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:DVINUJPH45BQY7M5SJB76HMBUD","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":"a1dc526cfeade4b4957fb211473634a1c7e3dff573711d5b1f1d076204b52934","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-08-07T07:57:46Z","title_canon_sha256":"547d8a7c2f1e9e7fa96abe5576b98e92d6b3e40292674e867b61e784ed81e190"},"schema_version":"1.0","source":{"id":"1408.1506","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.1506","created_at":"2026-05-18T00:59:02Z"},{"alias_kind":"arxiv_version","alias_value":"1408.1506v1","created_at":"2026-05-18T00:59:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.1506","created_at":"2026-05-18T00:59:02Z"},{"alias_kind":"pith_short_12","alias_value":"DVINUJPH45BQ","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"DVINUJPH45BQY7M5","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"DVINUJPH","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:5e31249a63c1b7a82e5cc38861d5882cbf91ee4f6493e4e171e88617952addea","target":"graph","created_at":"2026-05-18T00:59:02Z","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":"This paper considers shifted inverse determinant sums arising from the union bound of the pairwise error probability for space-time codes in multiple-antenna fading channels. Previous work by Vehkalahti et al. focused on the approximation of these sums for low multiplexing gains, providing a complete classification of the inverse determinant sums as a function of constellation size for the most well-known algebraic space-time codes. This work aims at building a general framework for the study of the shifted sums for all multiplexing gains. New bounds obtained using dyadic summing techniques su","authors_text":"Jean-Claude Belfiore, Laura Luzzi, Roope Vehkalahti","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-08-07T07:57:46Z","title":"Shifted inverse determinant sums and new bounds for the DMT of space-time lattice codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.1506","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":"sha256:9b88293ce688b7c39d06ab3f6bcd3f091b0ccbd66b9979e2fa6c365ae2a08e0f","target":"record","created_at":"2026-05-18T00:59:02Z","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":"a1dc526cfeade4b4957fb211473634a1c7e3dff573711d5b1f1d076204b52934","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-08-07T07:57:46Z","title_canon_sha256":"547d8a7c2f1e9e7fa96abe5576b98e92d6b3e40292674e867b61e784ed81e190"},"schema_version":"1.0","source":{"id":"1408.1506","kind":"arxiv","version":1}},"canonical_sha256":"1d50da25e7e7430c7d9d9243ff1d81a0d041aaa94840e4554750f90446871a42","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d50da25e7e7430c7d9d9243ff1d81a0d041aaa94840e4554750f90446871a42","first_computed_at":"2026-05-18T00:59:02.808758Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:59:02.808758Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2jNr3A7y5pZloy5v7/rNYqSubz+1FsqVx7hZO0LL/Fqlyhx834L5ChK8V+3wb4Tys1AGR/tLB2D1FIrcvY+aDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:59:02.809205Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.1506","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9b88293ce688b7c39d06ab3f6bcd3f091b0ccbd66b9979e2fa6c365ae2a08e0f","sha256:5e31249a63c1b7a82e5cc38861d5882cbf91ee4f6493e4e171e88617952addea"],"state_sha256":"f1b507a90a5a1fd9322c8f5588ef4401b679b793f50fa39be41d4bf3b48872a4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V2wBbygQmEB1eLGcXMjDl3Mx+6+fLXv0ysRy1Iv34S7gN9pBKdEJccoCXUOHOzoZR3aZYBFTRrzrZsrgTMWqBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T00:21:01.029292Z","bundle_sha256":"24820967c4bfb3988af592b37a9f492f6a6ec8e6e70c8f3b85d8f604f8019e72"}}