{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:AFDUDRZ5DSZSASSV4XGNDNY633","short_pith_number":"pith:AFDUDRZ5","canonical_record":{"source":{"id":"1709.04379","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-09-13T15:26:35Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"ec2560ff61f223d32f7c7e9717629ada4531c03d3005f5ca79d59b3c7d1bdcce","abstract_canon_sha256":"da3707ffe2d4e8476f82560dd5278c11081c4f9a647e36d2c6a1e79beaf2f15d"},"schema_version":"1.0"},"canonical_sha256":"014741c73d1cb3204a55e5ccd1b71edeecd629a3dae1fe94e2169169f157bb48","source":{"kind":"arxiv","id":"1709.04379","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.04379","created_at":"2026-05-18T00:35:14Z"},{"alias_kind":"arxiv_version","alias_value":"1709.04379v1","created_at":"2026-05-18T00:35:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.04379","created_at":"2026-05-18T00:35:14Z"},{"alias_kind":"pith_short_12","alias_value":"AFDUDRZ5DSZS","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"AFDUDRZ5DSZSASSV","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"AFDUDRZ5","created_at":"2026-05-18T12:31:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:AFDUDRZ5DSZSASSV4XGNDNY633","target":"record","payload":{"canonical_record":{"source":{"id":"1709.04379","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-09-13T15:26:35Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"ec2560ff61f223d32f7c7e9717629ada4531c03d3005f5ca79d59b3c7d1bdcce","abstract_canon_sha256":"da3707ffe2d4e8476f82560dd5278c11081c4f9a647e36d2c6a1e79beaf2f15d"},"schema_version":"1.0"},"canonical_sha256":"014741c73d1cb3204a55e5ccd1b71edeecd629a3dae1fe94e2169169f157bb48","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:14.528845Z","signature_b64":"7EE8p3iTYhoM4mZnhLlAaww6TluMdzCSA/XuOTGmLHx6ExOBG2GZxf29Pl8Bruj/rzO4OPWOAlSZzpQmaQcuDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"014741c73d1cb3204a55e5ccd1b71edeecd629a3dae1fe94e2169169f157bb48","last_reissued_at":"2026-05-18T00:35:14.528132Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:14.528132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1709.04379","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":"2026-05-18T00:35:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"54HdC5XUAqIWRd0YPl8Ux+fwK/pEEkaJfASZKuiWBZ6n6QgoArQ3pTakQKjdk1sIYerPgnTc/ExwFiHbBA5fDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T01:24:55.492017Z"},"content_sha256":"a6c563306fe51dbeb81e9cb213c7eeecbaf439414229268f1d744542bf451f47","schema_version":"1.0","event_id":"sha256:a6c563306fe51dbeb81e9cb213c7eeecbaf439414229268f1d744542bf451f47"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:AFDUDRZ5DSZSASSV4XGNDNY633","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Layered Space-Time Index Coding","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Emanuele Viterbo, Lakshmi Natarajan, Yi Hong, Yu-Chih Huang","submitted_at":"2017-09-13T15:26:35Z","abstract_excerpt":"Multicasting $K$ independent messages via multiple-input multiple-output (MIMO) channels to multiple users where each user already has a subset of messages as side information is studied. A general framework of constructing layered space-time index coding (LSTIC) from a large class of space-time block codes (STBC), including perfect STBC, is proposed. We analyze the proposed LSTIC and show that it provides minimum determinant gains that are exponential with the amount of information contained in the side information for any possible side information. When constructed over a perfect STBC, the p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.04379","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":"2026-05-18T00:35:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D4Mc7fpb704sIfg3F2J0F2Upu+L6LayEAk/cHqZEXsmSHEBGUc5mYfFpxnyIEL01yg4uYgQGqT9OlZqjsqEkDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T01:24:55.492373Z"},"content_sha256":"f42cb40263d9c89dc7db1ec13ba32b8838dc9b7d1271d30381dbd12e22e38805","schema_version":"1.0","event_id":"sha256:f42cb40263d9c89dc7db1ec13ba32b8838dc9b7d1271d30381dbd12e22e38805"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AFDUDRZ5DSZSASSV4XGNDNY633/bundle.json","state_url":"https://pith.science/pith/AFDUDRZ5DSZSASSV4XGNDNY633/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AFDUDRZ5DSZSASSV4XGNDNY633/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":"2026-06-21T01:24:55Z","links":{"resolver":"https://pith.science/pith/AFDUDRZ5DSZSASSV4XGNDNY633","bundle":"https://pith.science/pith/AFDUDRZ5DSZSASSV4XGNDNY633/bundle.json","state":"https://pith.science/pith/AFDUDRZ5DSZSASSV4XGNDNY633/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AFDUDRZ5DSZSASSV4XGNDNY633/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:AFDUDRZ5DSZSASSV4XGNDNY633","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":"da3707ffe2d4e8476f82560dd5278c11081c4f9a647e36d2c6a1e79beaf2f15d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-09-13T15:26:35Z","title_canon_sha256":"ec2560ff61f223d32f7c7e9717629ada4531c03d3005f5ca79d59b3c7d1bdcce"},"schema_version":"1.0","source":{"id":"1709.04379","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.04379","created_at":"2026-05-18T00:35:14Z"},{"alias_kind":"arxiv_version","alias_value":"1709.04379v1","created_at":"2026-05-18T00:35:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.04379","created_at":"2026-05-18T00:35:14Z"},{"alias_kind":"pith_short_12","alias_value":"AFDUDRZ5DSZS","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"AFDUDRZ5DSZSASSV","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"AFDUDRZ5","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:f42cb40263d9c89dc7db1ec13ba32b8838dc9b7d1271d30381dbd12e22e38805","target":"graph","created_at":"2026-05-18T00:35:14Z","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":"Multicasting $K$ independent messages via multiple-input multiple-output (MIMO) channels to multiple users where each user already has a subset of messages as side information is studied. A general framework of constructing layered space-time index coding (LSTIC) from a large class of space-time block codes (STBC), including perfect STBC, is proposed. We analyze the proposed LSTIC and show that it provides minimum determinant gains that are exponential with the amount of information contained in the side information for any possible side information. When constructed over a perfect STBC, the p","authors_text":"Emanuele Viterbo, Lakshmi Natarajan, Yi Hong, Yu-Chih Huang","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-09-13T15:26:35Z","title":"Layered Space-Time Index Coding"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.04379","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:a6c563306fe51dbeb81e9cb213c7eeecbaf439414229268f1d744542bf451f47","target":"record","created_at":"2026-05-18T00:35:14Z","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":"da3707ffe2d4e8476f82560dd5278c11081c4f9a647e36d2c6a1e79beaf2f15d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-09-13T15:26:35Z","title_canon_sha256":"ec2560ff61f223d32f7c7e9717629ada4531c03d3005f5ca79d59b3c7d1bdcce"},"schema_version":"1.0","source":{"id":"1709.04379","kind":"arxiv","version":1}},"canonical_sha256":"014741c73d1cb3204a55e5ccd1b71edeecd629a3dae1fe94e2169169f157bb48","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"014741c73d1cb3204a55e5ccd1b71edeecd629a3dae1fe94e2169169f157bb48","first_computed_at":"2026-05-18T00:35:14.528132Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:14.528132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7EE8p3iTYhoM4mZnhLlAaww6TluMdzCSA/XuOTGmLHx6ExOBG2GZxf29Pl8Bruj/rzO4OPWOAlSZzpQmaQcuDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:14.528845Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.04379","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a6c563306fe51dbeb81e9cb213c7eeecbaf439414229268f1d744542bf451f47","sha256:f42cb40263d9c89dc7db1ec13ba32b8838dc9b7d1271d30381dbd12e22e38805"],"state_sha256":"41719581d74974de5015ca16b455011f5aacb698b6810663cd500b65dfaa6b66"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WXARu7N36XURFAFuhpWyBdZi1om0Zy8t7PxnJrhgiXcFhzIv2vLwjGGGJUTjS3/k/EizMf4qwZzSWpp8zJc9AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T01:24:55.494465Z","bundle_sha256":"2a208b8c6588a828c0c4468f8cc0d8f2b5ecc3f6173c99001d0b0a395b8f71d5"}}