{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:XTKSIXMYKTAS2ABVQTGM32TWLR","short_pith_number":"pith:XTKSIXMY","canonical_record":{"source":{"id":"1104.5170","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-04-27T15:59:25Z","cross_cats_sorted":["cs.NI","math.IT"],"title_canon_sha256":"64cc364e4d810c2e243652e1fa358cef7d53eb259c5b73397d93feb02760755c","abstract_canon_sha256":"2882becc5caba4b569cbec846acdc9752e9d7b07d032c0a5d9b168e81ea37404"},"schema_version":"1.0"},"canonical_sha256":"bcd5245d9854c12d003584cccdea765c555c0f29ffef574627069cad5ba4af01","source":{"kind":"arxiv","id":"1104.5170","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.5170","created_at":"2026-05-18T00:59:10Z"},{"alias_kind":"arxiv_version","alias_value":"1104.5170v2","created_at":"2026-05-18T00:59:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.5170","created_at":"2026-05-18T00:59:10Z"},{"alias_kind":"pith_short_12","alias_value":"XTKSIXMYKTAS","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"XTKSIXMYKTAS2ABV","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"XTKSIXMY","created_at":"2026-05-18T12:26:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:XTKSIXMYKTAS2ABVQTGM32TWLR","target":"record","payload":{"canonical_record":{"source":{"id":"1104.5170","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-04-27T15:59:25Z","cross_cats_sorted":["cs.NI","math.IT"],"title_canon_sha256":"64cc364e4d810c2e243652e1fa358cef7d53eb259c5b73397d93feb02760755c","abstract_canon_sha256":"2882becc5caba4b569cbec846acdc9752e9d7b07d032c0a5d9b168e81ea37404"},"schema_version":"1.0"},"canonical_sha256":"bcd5245d9854c12d003584cccdea765c555c0f29ffef574627069cad5ba4af01","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:59:10.341574Z","signature_b64":"q7uOSVQW9bHHEVWjivqDYMttkMAxXd4gBlizKqg706coT3O6HzqqeLCm8IhytAQ7MjOB1phVAjqv20cylZyyDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bcd5245d9854c12d003584cccdea765c555c0f29ffef574627069cad5ba4af01","last_reissued_at":"2026-05-18T00:59:10.340518Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:59:10.340518Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.5170","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:59:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LxCCjEPbcrkV70+3nDexXRfgF0qvarPZ/hQlyva85vsNlSQ/TvuCM/9uIlnCdTiB8qWKD1eLwlLxMq7IwSXIBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T18:09:47.361686Z"},"content_sha256":"ad1cf3425c66b08848e6ae819d2ea7542a517eef9c648305c606eaef04eb78be","schema_version":"1.0","event_id":"sha256:ad1cf3425c66b08848e6ae819d2ea7542a517eef9c648305c606eaef04eb78be"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:XTKSIXMYKTAS2ABVQTGM32TWLR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Novel Power Allocation Scheme for Two-User GMAC with Finite Input Constellations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NI","math.IT"],"primary_cat":"cs.IT","authors_text":"B. Sundar Rajan, J. Harshan","submitted_at":"2011-04-27T15:59:25Z","abstract_excerpt":"Constellation Constrained (CC) capacity regions of two-user Gaussian Multiple Access Channels (GMAC) have been recently reported, wherein an appropriate angle of rotation between the constellations of the two users is shown to enlarge the CC capacity region. We refer to such a scheme as the Constellation Rotation (CR) scheme. In this paper, we propose a novel scheme called the Constellation Power Allocation (CPA) scheme, wherein the instantaneous transmit power of the two users are varied by maintaining their average power constraints. We show that the CPA scheme offers CC sum capacities equal"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.5170","kind":"arxiv","version":2},"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":"2026-05-18T00:59:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D2OZYw12u30LcM6IQZ4fwzSq+HEI23fS4hi/vN4XPMpwnK8mfB8rsX+sk+X67oO/nfwVxki6v+iovluYuV3KAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T18:09:47.362044Z"},"content_sha256":"de7fb49e39d1fe10ad73ea10a772936636d35980c6c0bc35cbb28d9873c45eeb","schema_version":"1.0","event_id":"sha256:de7fb49e39d1fe10ad73ea10a772936636d35980c6c0bc35cbb28d9873c45eeb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XTKSIXMYKTAS2ABVQTGM32TWLR/bundle.json","state_url":"https://pith.science/pith/XTKSIXMYKTAS2ABVQTGM32TWLR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XTKSIXMYKTAS2ABVQTGM32TWLR/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":"2026-06-04T18:09:47Z","links":{"resolver":"https://pith.science/pith/XTKSIXMYKTAS2ABVQTGM32TWLR","bundle":"https://pith.science/pith/XTKSIXMYKTAS2ABVQTGM32TWLR/bundle.json","state":"https://pith.science/pith/XTKSIXMYKTAS2ABVQTGM32TWLR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XTKSIXMYKTAS2ABVQTGM32TWLR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:XTKSIXMYKTAS2ABVQTGM32TWLR","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":"2882becc5caba4b569cbec846acdc9752e9d7b07d032c0a5d9b168e81ea37404","cross_cats_sorted":["cs.NI","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-04-27T15:59:25Z","title_canon_sha256":"64cc364e4d810c2e243652e1fa358cef7d53eb259c5b73397d93feb02760755c"},"schema_version":"1.0","source":{"id":"1104.5170","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.5170","created_at":"2026-05-18T00:59:10Z"},{"alias_kind":"arxiv_version","alias_value":"1104.5170v2","created_at":"2026-05-18T00:59:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.5170","created_at":"2026-05-18T00:59:10Z"},{"alias_kind":"pith_short_12","alias_value":"XTKSIXMYKTAS","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"XTKSIXMYKTAS2ABV","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"XTKSIXMY","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:de7fb49e39d1fe10ad73ea10a772936636d35980c6c0bc35cbb28d9873c45eeb","target":"graph","created_at":"2026-05-18T00:59:10Z","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":"Constellation Constrained (CC) capacity regions of two-user Gaussian Multiple Access Channels (GMAC) have been recently reported, wherein an appropriate angle of rotation between the constellations of the two users is shown to enlarge the CC capacity region. We refer to such a scheme as the Constellation Rotation (CR) scheme. In this paper, we propose a novel scheme called the Constellation Power Allocation (CPA) scheme, wherein the instantaneous transmit power of the two users are varied by maintaining their average power constraints. We show that the CPA scheme offers CC sum capacities equal","authors_text":"B. Sundar Rajan, J. Harshan","cross_cats":["cs.NI","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-04-27T15:59:25Z","title":"A Novel Power Allocation Scheme for Two-User GMAC with Finite Input Constellations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.5170","kind":"arxiv","version":2},"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:ad1cf3425c66b08848e6ae819d2ea7542a517eef9c648305c606eaef04eb78be","target":"record","created_at":"2026-05-18T00:59:10Z","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":"2882becc5caba4b569cbec846acdc9752e9d7b07d032c0a5d9b168e81ea37404","cross_cats_sorted":["cs.NI","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-04-27T15:59:25Z","title_canon_sha256":"64cc364e4d810c2e243652e1fa358cef7d53eb259c5b73397d93feb02760755c"},"schema_version":"1.0","source":{"id":"1104.5170","kind":"arxiv","version":2}},"canonical_sha256":"bcd5245d9854c12d003584cccdea765c555c0f29ffef574627069cad5ba4af01","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bcd5245d9854c12d003584cccdea765c555c0f29ffef574627069cad5ba4af01","first_computed_at":"2026-05-18T00:59:10.340518Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:59:10.340518Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q7uOSVQW9bHHEVWjivqDYMttkMAxXd4gBlizKqg706coT3O6HzqqeLCm8IhytAQ7MjOB1phVAjqv20cylZyyDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:59:10.341574Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.5170","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ad1cf3425c66b08848e6ae819d2ea7542a517eef9c648305c606eaef04eb78be","sha256:de7fb49e39d1fe10ad73ea10a772936636d35980c6c0bc35cbb28d9873c45eeb"],"state_sha256":"75fb51187c2b593028cb72fa7f209070a661cd7b620d69aa40c4d51fdac7d022"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0FO4yDPt/v+3QRHzCF2cYkUzMwkIqddkT0lHBG3DvgpquA1rbaXklwPvEPtMijSwZI0CiFcmJJcV/XoUjw0oCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T18:09:47.364021Z","bundle_sha256":"caa9d659acb8280166541beed4f2fda6a967add6471a585c8310c35c86daf976"}}