{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:VHXHCNKKTXHFITGWNSB5IG5AWA","short_pith_number":"pith:VHXHCNKK","canonical_record":{"source":{"id":"1302.1258","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-02-06T04:13:40Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"3c0addffd1bdee3b817c82930d8a05695870d7ae3e8aee9f55767a7a8522356d","abstract_canon_sha256":"913a9abb04f1ae868acf97c347601d96b2268b87157fbcb652c834808af64990"},"schema_version":"1.0"},"canonical_sha256":"a9ee71354a9dce544cd66c83d41ba0b02a4374400854f227f091486ec8d6337e","source":{"kind":"arxiv","id":"1302.1258","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.1258","created_at":"2026-05-18T00:59:04Z"},{"alias_kind":"arxiv_version","alias_value":"1302.1258v1","created_at":"2026-05-18T00:59:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.1258","created_at":"2026-05-18T00:59:04Z"},{"alias_kind":"pith_short_12","alias_value":"VHXHCNKKTXHF","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"VHXHCNKKTXHFITGW","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"VHXHCNKK","created_at":"2026-05-18T12:28:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:VHXHCNKKTXHFITGWNSB5IG5AWA","target":"record","payload":{"canonical_record":{"source":{"id":"1302.1258","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-02-06T04:13:40Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"3c0addffd1bdee3b817c82930d8a05695870d7ae3e8aee9f55767a7a8522356d","abstract_canon_sha256":"913a9abb04f1ae868acf97c347601d96b2268b87157fbcb652c834808af64990"},"schema_version":"1.0"},"canonical_sha256":"a9ee71354a9dce544cd66c83d41ba0b02a4374400854f227f091486ec8d6337e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:59:04.461627Z","signature_b64":"VnkRYGWUQDumw/Q0G8tId+eNK7/t3be7+5qUd3MDzNq1bIWjcWA1bWsn4x8tHTkKUXDEsy4+wyDZFL7Is7HzAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a9ee71354a9dce544cd66c83d41ba0b02a4374400854f227f091486ec8d6337e","last_reissued_at":"2026-05-18T00:59:04.461024Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:59:04.461024Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.1258","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":"2026-05-18T00:59:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I84YvhOBEwKXl9LklYmcc5/NPe0gngi2Jspono2WtvzW5vK+SXHBaErjiETUGEua5ytYAx/siqQeLdCfdi0bBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T23:06:42.116751Z"},"content_sha256":"feeae2b28c277f2472b2046bd8fe0dd70e3301064ca8417c8a154e1097e66a39","schema_version":"1.0","event_id":"sha256:feeae2b28c277f2472b2046bd8fe0dd70e3301064ca8417c8a154e1097e66a39"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:VHXHCNKKTXHFITGWNSB5IG5AWA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Comparison of Superposition Coding Schemes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Bernd Bandemer, Eren Sasoglu, Lele Wang, Young-Han Kim","submitted_at":"2013-02-06T04:13:40Z","abstract_excerpt":"There are two variants of superposition coding schemes. Cover's original superposition coding scheme has code clouds of the identical shape, while Bergmans's superposition coding scheme has code clouds of independently generated shapes. These two schemes yield identical achievable rate regions in several scenarios, such as the capacity region for degraded broadcast channels. This paper shows that under the optimal maximum likelihood decoding, these two superposition coding schemes can result in different rate regions. In particular, it is shown that for the two-receiver broadcast channel, Cove"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.1258","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":"2026-05-18T00:59:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3Jx/9kLSJkWCq2xU4ryt1rxb8NJ9o7JvZS91xYxvArwOuDD5PRL1GtsZ6gxh82onPa1+fyOZCZ2g4yNSIOa9Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T23:06:42.117282Z"},"content_sha256":"8ec827de2eb813e3f506f15ce3cda3c9f276dac24b1325cd9d9d61bc521466c3","schema_version":"1.0","event_id":"sha256:8ec827de2eb813e3f506f15ce3cda3c9f276dac24b1325cd9d9d61bc521466c3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VHXHCNKKTXHFITGWNSB5IG5AWA/bundle.json","state_url":"https://pith.science/pith/VHXHCNKKTXHFITGWNSB5IG5AWA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VHXHCNKKTXHFITGWNSB5IG5AWA/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":"2026-05-31T23:06:42Z","links":{"resolver":"https://pith.science/pith/VHXHCNKKTXHFITGWNSB5IG5AWA","bundle":"https://pith.science/pith/VHXHCNKKTXHFITGWNSB5IG5AWA/bundle.json","state":"https://pith.science/pith/VHXHCNKKTXHFITGWNSB5IG5AWA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VHXHCNKKTXHFITGWNSB5IG5AWA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:VHXHCNKKTXHFITGWNSB5IG5AWA","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":"913a9abb04f1ae868acf97c347601d96b2268b87157fbcb652c834808af64990","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-02-06T04:13:40Z","title_canon_sha256":"3c0addffd1bdee3b817c82930d8a05695870d7ae3e8aee9f55767a7a8522356d"},"schema_version":"1.0","source":{"id":"1302.1258","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.1258","created_at":"2026-05-18T00:59:04Z"},{"alias_kind":"arxiv_version","alias_value":"1302.1258v1","created_at":"2026-05-18T00:59:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.1258","created_at":"2026-05-18T00:59:04Z"},{"alias_kind":"pith_short_12","alias_value":"VHXHCNKKTXHF","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"VHXHCNKKTXHFITGW","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"VHXHCNKK","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:8ec827de2eb813e3f506f15ce3cda3c9f276dac24b1325cd9d9d61bc521466c3","target":"graph","created_at":"2026-05-18T00:59:04Z","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":"There are two variants of superposition coding schemes. Cover's original superposition coding scheme has code clouds of the identical shape, while Bergmans's superposition coding scheme has code clouds of independently generated shapes. These two schemes yield identical achievable rate regions in several scenarios, such as the capacity region for degraded broadcast channels. This paper shows that under the optimal maximum likelihood decoding, these two superposition coding schemes can result in different rate regions. In particular, it is shown that for the two-receiver broadcast channel, Cove","authors_text":"Bernd Bandemer, Eren Sasoglu, Lele Wang, Young-Han Kim","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-02-06T04:13:40Z","title":"A Comparison of Superposition Coding Schemes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.1258","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:feeae2b28c277f2472b2046bd8fe0dd70e3301064ca8417c8a154e1097e66a39","target":"record","created_at":"2026-05-18T00:59:04Z","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":"913a9abb04f1ae868acf97c347601d96b2268b87157fbcb652c834808af64990","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-02-06T04:13:40Z","title_canon_sha256":"3c0addffd1bdee3b817c82930d8a05695870d7ae3e8aee9f55767a7a8522356d"},"schema_version":"1.0","source":{"id":"1302.1258","kind":"arxiv","version":1}},"canonical_sha256":"a9ee71354a9dce544cd66c83d41ba0b02a4374400854f227f091486ec8d6337e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a9ee71354a9dce544cd66c83d41ba0b02a4374400854f227f091486ec8d6337e","first_computed_at":"2026-05-18T00:59:04.461024Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:59:04.461024Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VnkRYGWUQDumw/Q0G8tId+eNK7/t3be7+5qUd3MDzNq1bIWjcWA1bWsn4x8tHTkKUXDEsy4+wyDZFL7Is7HzAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:59:04.461627Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.1258","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:feeae2b28c277f2472b2046bd8fe0dd70e3301064ca8417c8a154e1097e66a39","sha256:8ec827de2eb813e3f506f15ce3cda3c9f276dac24b1325cd9d9d61bc521466c3"],"state_sha256":"e79635f3aded46f173dc6e7ed5b7b6ad1b165f8ba1706a9ab8ee7951301574cb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H68nDBuDdUnk6wUBG0ntS0lyCmDKkRuc4ufmK/ZzPn97/vhmjdMWkRsnCvqIUdBic1ZgrtzXbMUnkrYTjg9KBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T23:06:42.120785Z","bundle_sha256":"9c9802c0fd27b32815a8980b15f9fb2724acca16997910ba3525d5ef7d8bca8b"}}