{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:PSQRNHRDUX5PZCNO63UOKPZUN3","short_pith_number":"pith:PSQRNHRD","canonical_record":{"source":{"id":"1207.0543","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-07-02T23:11:06Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"4fe7d25db8749e2f2054635f14998ea16bf7a30feb326097e31fc1db80eb9e9f","abstract_canon_sha256":"d670a2b7ba94ba2746991906b67d5e86547d3dd9405593226267d8f0162004ff"},"schema_version":"1.0"},"canonical_sha256":"7ca1169e23a5fafc89aef6e8e53f346ecdd6c5650496ca92fa46b4cb61d17d33","source":{"kind":"arxiv","id":"1207.0543","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.0543","created_at":"2026-05-18T03:51:57Z"},{"alias_kind":"arxiv_version","alias_value":"1207.0543v1","created_at":"2026-05-18T03:51:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.0543","created_at":"2026-05-18T03:51:57Z"},{"alias_kind":"pith_short_12","alias_value":"PSQRNHRDUX5P","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"PSQRNHRDUX5PZCNO","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"PSQRNHRD","created_at":"2026-05-18T12:27:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:PSQRNHRDUX5PZCNO63UOKPZUN3","target":"record","payload":{"canonical_record":{"source":{"id":"1207.0543","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-07-02T23:11:06Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"4fe7d25db8749e2f2054635f14998ea16bf7a30feb326097e31fc1db80eb9e9f","abstract_canon_sha256":"d670a2b7ba94ba2746991906b67d5e86547d3dd9405593226267d8f0162004ff"},"schema_version":"1.0"},"canonical_sha256":"7ca1169e23a5fafc89aef6e8e53f346ecdd6c5650496ca92fa46b4cb61d17d33","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:51:57.823526Z","signature_b64":"MTkSPRFDekBXPjFlYPEmctPAVG6JJUpFItXdxt/lmcdZrn906/KJEFqosarxtfLek47iJRjaSC84t0fnEQ6nDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ca1169e23a5fafc89aef6e8e53f346ecdd6c5650496ca92fa46b4cb61d17d33","last_reissued_at":"2026-05-18T03:51:57.823055Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:51:57.823055Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.0543","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":"2026-05-18T03:51:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q5M5Dz1XvWksEQIowS+JfVWhG1Putxa8Yuj4xFWS4SI5+CI5WVhlzyb6rdT1MJ+mbxQN3y7G33AX563L9PB+DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T23:58:52.670211Z"},"content_sha256":"d45818017220726f5a764c438db7cd2a5550887cc437595332ffe357316ae782","schema_version":"1.0","event_id":"sha256:d45818017220726f5a764c438db7cd2a5550887cc437595332ffe357316ae782"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:PSQRNHRDUX5PZCNO63UOKPZUN3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rate-splitting in the presence of multiple receivers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Ivan Savov, Omar Fawzi","submitted_at":"2012-07-02T23:11:06Z","abstract_excerpt":"In the presence of multiple senders, one of the simplest decoding strategies that can be employed by a receiver is successive decoding. In a successive decoding strategy, the receiver decodes the messages one at a time using the knowledge of the previously decoded messages as side information. Recently, there have been two separate attempts to construct codes for the interference channel using successive decoding based on the idea of rate-splitting.\n  In this note, we highlight a difficulty that arises when a rate-splitting codebook is to be decoded by multiple receivers. The main issue is tha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.0543","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":"2026-05-18T03:51:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HULk4EVI2dRdyNLAOwgp2gFblVzl8NRqSo/fTkX3xGKww/HDI6bl9QYhEySPoFBB9Uut+ZgHrBv29z4S/Y84BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T23:58:52.670742Z"},"content_sha256":"764dc54c284670887b459bd2991fea625f359f870785b365e9a4d620ed3819e0","schema_version":"1.0","event_id":"sha256:764dc54c284670887b459bd2991fea625f359f870785b365e9a4d620ed3819e0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PSQRNHRDUX5PZCNO63UOKPZUN3/bundle.json","state_url":"https://pith.science/pith/PSQRNHRDUX5PZCNO63UOKPZUN3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PSQRNHRDUX5PZCNO63UOKPZUN3/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":"2026-05-22T23:58:52Z","links":{"resolver":"https://pith.science/pith/PSQRNHRDUX5PZCNO63UOKPZUN3","bundle":"https://pith.science/pith/PSQRNHRDUX5PZCNO63UOKPZUN3/bundle.json","state":"https://pith.science/pith/PSQRNHRDUX5PZCNO63UOKPZUN3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PSQRNHRDUX5PZCNO63UOKPZUN3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:PSQRNHRDUX5PZCNO63UOKPZUN3","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":"d670a2b7ba94ba2746991906b67d5e86547d3dd9405593226267d8f0162004ff","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-07-02T23:11:06Z","title_canon_sha256":"4fe7d25db8749e2f2054635f14998ea16bf7a30feb326097e31fc1db80eb9e9f"},"schema_version":"1.0","source":{"id":"1207.0543","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.0543","created_at":"2026-05-18T03:51:57Z"},{"alias_kind":"arxiv_version","alias_value":"1207.0543v1","created_at":"2026-05-18T03:51:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.0543","created_at":"2026-05-18T03:51:57Z"},{"alias_kind":"pith_short_12","alias_value":"PSQRNHRDUX5P","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"PSQRNHRDUX5PZCNO","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"PSQRNHRD","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:764dc54c284670887b459bd2991fea625f359f870785b365e9a4d620ed3819e0","target":"graph","created_at":"2026-05-18T03:51:57Z","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 the presence of multiple senders, one of the simplest decoding strategies that can be employed by a receiver is successive decoding. In a successive decoding strategy, the receiver decodes the messages one at a time using the knowledge of the previously decoded messages as side information. Recently, there have been two separate attempts to construct codes for the interference channel using successive decoding based on the idea of rate-splitting.\n  In this note, we highlight a difficulty that arises when a rate-splitting codebook is to be decoded by multiple receivers. The main issue is tha","authors_text":"Ivan Savov, Omar Fawzi","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-07-02T23:11:06Z","title":"Rate-splitting in the presence of multiple receivers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.0543","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:d45818017220726f5a764c438db7cd2a5550887cc437595332ffe357316ae782","target":"record","created_at":"2026-05-18T03:51:57Z","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":"d670a2b7ba94ba2746991906b67d5e86547d3dd9405593226267d8f0162004ff","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-07-02T23:11:06Z","title_canon_sha256":"4fe7d25db8749e2f2054635f14998ea16bf7a30feb326097e31fc1db80eb9e9f"},"schema_version":"1.0","source":{"id":"1207.0543","kind":"arxiv","version":1}},"canonical_sha256":"7ca1169e23a5fafc89aef6e8e53f346ecdd6c5650496ca92fa46b4cb61d17d33","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7ca1169e23a5fafc89aef6e8e53f346ecdd6c5650496ca92fa46b4cb61d17d33","first_computed_at":"2026-05-18T03:51:57.823055Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:51:57.823055Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MTkSPRFDekBXPjFlYPEmctPAVG6JJUpFItXdxt/lmcdZrn906/KJEFqosarxtfLek47iJRjaSC84t0fnEQ6nDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:51:57.823526Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.0543","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d45818017220726f5a764c438db7cd2a5550887cc437595332ffe357316ae782","sha256:764dc54c284670887b459bd2991fea625f359f870785b365e9a4d620ed3819e0"],"state_sha256":"f8e9dca2ddc41d70d6f8ba58008e47d09fb680a0320f13f5c7b40e2caca1ff84"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8zJRf3gh/9bhQg1ch+BkCrIztvrGfleiWftEPcSMs04vplXVn/HfSmKXqDhc41Uvgv3y/3cLdMXkbKsuH2j3BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T23:58:52.673486Z","bundle_sha256":"45e49ad5820d1bd4024f62ab118c0045cbfea606ac128a1e02647e14660fedde"}}