{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:GEXOVOTVIME7TB5LVOXK6CDPIS","short_pith_number":"pith:GEXOVOTV","canonical_record":{"source":{"id":"1010.0316","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-10-02T09:26:54Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"be44c8323c4964276b0b3d5331f12da3a366433b8d245f17c7df66ae76f95e56","abstract_canon_sha256":"c740532520d61ff2d16eaedcb075ac79cc3954bab3e81d7299d3a6f68c1138bd"},"schema_version":"1.0"},"canonical_sha256":"312eeaba754309f987ababaeaf086f44ad18d0939ba844df0c8965a6ae83e9c7","source":{"kind":"arxiv","id":"1010.0316","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.0316","created_at":"2026-05-18T02:23:47Z"},{"alias_kind":"arxiv_version","alias_value":"1010.0316v3","created_at":"2026-05-18T02:23:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.0316","created_at":"2026-05-18T02:23:47Z"},{"alias_kind":"pith_short_12","alias_value":"GEXOVOTVIME7","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"GEXOVOTVIME7TB5L","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"GEXOVOTV","created_at":"2026-05-18T12:26:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:GEXOVOTVIME7TB5LVOXK6CDPIS","target":"record","payload":{"canonical_record":{"source":{"id":"1010.0316","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-10-02T09:26:54Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"be44c8323c4964276b0b3d5331f12da3a366433b8d245f17c7df66ae76f95e56","abstract_canon_sha256":"c740532520d61ff2d16eaedcb075ac79cc3954bab3e81d7299d3a6f68c1138bd"},"schema_version":"1.0"},"canonical_sha256":"312eeaba754309f987ababaeaf086f44ad18d0939ba844df0c8965a6ae83e9c7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:23:47.851914Z","signature_b64":"d3UnyDs+yLWUha/UleC5eulxue7DLhVNoFOtnALJd0OKjj7+qX62ArrOdmPge5Fi51+ruuFgxhaLTyoBuTbmCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"312eeaba754309f987ababaeaf086f44ad18d0939ba844df0c8965a6ae83e9c7","last_reissued_at":"2026-05-18T02:23:47.851381Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:23:47.851381Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.0316","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:23:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0E3J9GgF8YDMjI7tKQkJwts1obzrtTSAA3RB37agalBRKfv5W+3qmSBITHRodai1YHObjfypMuiHVVHFlt5XBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T20:16:48.509294Z"},"content_sha256":"7db231d6c5fd657d2defce64627acf9791e57619f8ab852a5019fad0bc8ee86a","schema_version":"1.0","event_id":"sha256:7db231d6c5fd657d2defce64627acf9791e57619f8ab852a5019fad0bc8ee86a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:GEXOVOTVIME7TB5LVOXK6CDPIS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two-User Gaussian Interference Channel with Finite Constellation Input and FDMA","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"B. Sundar Rajan, G. Abhinav","submitted_at":"2010-10-02T09:26:54Z","abstract_excerpt":"In the two-user Gaussian Strong Interference Channel (GSIC) with finite constellation inputs, it is known that relative rotation between the constellations of the two users enlarges the Constellation Constrained (CC) capacity region. In this paper, a metric for finding the approximate angle of rotation (with negligibly small error) to maximally enlarge the CC capacity for the two-user GSIC is presented. In the case of Gaussian input alphabets with equal powers for both the users and the modulus of both the cross-channel gains being equal to unity, it is known that the FDMA rate curve touches t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.0316","kind":"arxiv","version":3},"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":"2026-05-18T02:23:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LvIMvXnzcT1QAkLR0QTIcqoVDEVEOX+mM9q7nzSLa3e5toEtSNEVNca+kEkQW8X1EdsVT0iSbfUr/2e7wrohCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T20:16:48.509663Z"},"content_sha256":"56c6ee60f271a65834c5f7efa317af6ad11fb1717c7159238f04bc6e88ef59b5","schema_version":"1.0","event_id":"sha256:56c6ee60f271a65834c5f7efa317af6ad11fb1717c7159238f04bc6e88ef59b5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GEXOVOTVIME7TB5LVOXK6CDPIS/bundle.json","state_url":"https://pith.science/pith/GEXOVOTVIME7TB5LVOXK6CDPIS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GEXOVOTVIME7TB5LVOXK6CDPIS/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":"2026-06-04T20:16:48Z","links":{"resolver":"https://pith.science/pith/GEXOVOTVIME7TB5LVOXK6CDPIS","bundle":"https://pith.science/pith/GEXOVOTVIME7TB5LVOXK6CDPIS/bundle.json","state":"https://pith.science/pith/GEXOVOTVIME7TB5LVOXK6CDPIS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GEXOVOTVIME7TB5LVOXK6CDPIS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:GEXOVOTVIME7TB5LVOXK6CDPIS","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":"c740532520d61ff2d16eaedcb075ac79cc3954bab3e81d7299d3a6f68c1138bd","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-10-02T09:26:54Z","title_canon_sha256":"be44c8323c4964276b0b3d5331f12da3a366433b8d245f17c7df66ae76f95e56"},"schema_version":"1.0","source":{"id":"1010.0316","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.0316","created_at":"2026-05-18T02:23:47Z"},{"alias_kind":"arxiv_version","alias_value":"1010.0316v3","created_at":"2026-05-18T02:23:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.0316","created_at":"2026-05-18T02:23:47Z"},{"alias_kind":"pith_short_12","alias_value":"GEXOVOTVIME7","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"GEXOVOTVIME7TB5L","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"GEXOVOTV","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:56c6ee60f271a65834c5f7efa317af6ad11fb1717c7159238f04bc6e88ef59b5","target":"graph","created_at":"2026-05-18T02:23:47Z","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 two-user Gaussian Strong Interference Channel (GSIC) with finite constellation inputs, it is known that relative rotation between the constellations of the two users enlarges the Constellation Constrained (CC) capacity region. In this paper, a metric for finding the approximate angle of rotation (with negligibly small error) to maximally enlarge the CC capacity for the two-user GSIC is presented. In the case of Gaussian input alphabets with equal powers for both the users and the modulus of both the cross-channel gains being equal to unity, it is known that the FDMA rate curve touches t","authors_text":"B. Sundar Rajan, G. Abhinav","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-10-02T09:26:54Z","title":"Two-User Gaussian Interference Channel with Finite Constellation Input and FDMA"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.0316","kind":"arxiv","version":3},"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":"sha256:7db231d6c5fd657d2defce64627acf9791e57619f8ab852a5019fad0bc8ee86a","target":"record","created_at":"2026-05-18T02:23:47Z","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":"c740532520d61ff2d16eaedcb075ac79cc3954bab3e81d7299d3a6f68c1138bd","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-10-02T09:26:54Z","title_canon_sha256":"be44c8323c4964276b0b3d5331f12da3a366433b8d245f17c7df66ae76f95e56"},"schema_version":"1.0","source":{"id":"1010.0316","kind":"arxiv","version":3}},"canonical_sha256":"312eeaba754309f987ababaeaf086f44ad18d0939ba844df0c8965a6ae83e9c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"312eeaba754309f987ababaeaf086f44ad18d0939ba844df0c8965a6ae83e9c7","first_computed_at":"2026-05-18T02:23:47.851381Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:23:47.851381Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d3UnyDs+yLWUha/UleC5eulxue7DLhVNoFOtnALJd0OKjj7+qX62ArrOdmPge5Fi51+ruuFgxhaLTyoBuTbmCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:23:47.851914Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.0316","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7db231d6c5fd657d2defce64627acf9791e57619f8ab852a5019fad0bc8ee86a","sha256:56c6ee60f271a65834c5f7efa317af6ad11fb1717c7159238f04bc6e88ef59b5"],"state_sha256":"02276bb394ace5ff165a42918bf6f976501e2310377c75951bc58fb47c9043ba"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XRcLSAl+oRqh8KFmtycIuDWaNsjPRiVAHFrEQBoZxmBdcMzOf5etuTGNdohVefVxKzbvYMk3CqY9PaRyedtMBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T20:16:48.511647Z","bundle_sha256":"c62b9e57b29330ce078fc0a3999d91506a076a0a5a4b9a2b4adfaf14485e6458"}}