{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:CB66AHJE37VBXK7XNUH7MFKVE4","short_pith_number":"pith:CB66AHJE","canonical_record":{"source":{"id":"1808.00852","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-08-02T15:14:53Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"b7f58e966eddca9b1d1e45b08b44f9dc17a2bf0c2c0365b5597aac340e5b7c14","abstract_canon_sha256":"de5c30267428d4c6019e5e45e44be0ebc43f0341f1650fb9fef8f5c16fdfbf2d"},"schema_version":"1.0"},"canonical_sha256":"107de01d24dfea1babf76d0ff6155527139effc0a1f635fcffdf50cae2bd8bbd","source":{"kind":"arxiv","id":"1808.00852","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.00852","created_at":"2026-05-18T00:03:15Z"},{"alias_kind":"arxiv_version","alias_value":"1808.00852v1","created_at":"2026-05-18T00:03:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.00852","created_at":"2026-05-18T00:03:15Z"},{"alias_kind":"pith_short_12","alias_value":"CB66AHJE37VB","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"CB66AHJE37VBXK7X","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"CB66AHJE","created_at":"2026-05-18T12:32:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:CB66AHJE37VBXK7XNUH7MFKVE4","target":"record","payload":{"canonical_record":{"source":{"id":"1808.00852","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-08-02T15:14:53Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"b7f58e966eddca9b1d1e45b08b44f9dc17a2bf0c2c0365b5597aac340e5b7c14","abstract_canon_sha256":"de5c30267428d4c6019e5e45e44be0ebc43f0341f1650fb9fef8f5c16fdfbf2d"},"schema_version":"1.0"},"canonical_sha256":"107de01d24dfea1babf76d0ff6155527139effc0a1f635fcffdf50cae2bd8bbd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:15.514494Z","signature_b64":"OMepbBv2MK0wUHJrRugsM2PoaKimpA6W+gMujvEfdjES1CtERTFktNwrNu8tKrgPqJwS9TaCSpEimUOaLpFnDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"107de01d24dfea1babf76d0ff6155527139effc0a1f635fcffdf50cae2bd8bbd","last_reissued_at":"2026-05-18T00:03:15.513875Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:15.513875Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.00852","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":"2026-05-18T00:03:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ABkwyLQYoi/GHxtcS7bMFs7MZoLJyziuZT4EQyB/008fvfztPXDwndlzN1VSLAxZ2CoHf2EE9gQ5Lfa9M7g5AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T21:34:15.426584Z"},"content_sha256":"a31f6d0a32f3bddacefe6cdf52614d18605b4ae26cf72ccfd2d1e713fbf1a275","schema_version":"1.0","event_id":"sha256:a31f6d0a32f3bddacefe6cdf52614d18605b4ae26cf72ccfd2d1e713fbf1a275"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:CB66AHJE37VBXK7XNUH7MFKVE4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Energy-Efficient Multi-Cell Multigroup Multicasting with Joint Beamforming and Antenna Selection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Bj\\\"orn Ottersten, Harri Pennanen, Le-Nam Tran, Markku Juntti, Oskari Tervo, Symeon Chatzinotas","submitted_at":"2018-08-02T15:14:53Z","abstract_excerpt":"This paper studies the energy efficiency and sum rate trade-off for coordinated beamforming in multi-cell multi-user multigroup multicast multiple-input single-output systems. We first consider a conventional network energy efficiency maximization (EEmax) problem by jointly optimizing the transmit beamformers and antennas selected to be used in transmission. We also account for per-antenna maximum power constraints to avoid non-linear distortion in power amplifiers and user-specific minimum rate constraints to guarantee certain service levels and fairness. To be energy-efficient, transmit ante"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.00852","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":"2026-05-18T00:03:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sY9zRhw47SYoNJCZwGpvvFL8E0ihBvlNPIf/H1tW3Vs0FINyAAbU3OuauV05xp5YHqU1bH3NR4mFmB/HwC2fCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T21:34:15.427087Z"},"content_sha256":"0f0d7b4f22360a64223daa386d6e0da86db893ba23ebc02d9b98afe1115b155e","schema_version":"1.0","event_id":"sha256:0f0d7b4f22360a64223daa386d6e0da86db893ba23ebc02d9b98afe1115b155e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CB66AHJE37VBXK7XNUH7MFKVE4/bundle.json","state_url":"https://pith.science/pith/CB66AHJE37VBXK7XNUH7MFKVE4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CB66AHJE37VBXK7XNUH7MFKVE4/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":"2026-06-25T21:34:15Z","links":{"resolver":"https://pith.science/pith/CB66AHJE37VBXK7XNUH7MFKVE4","bundle":"https://pith.science/pith/CB66AHJE37VBXK7XNUH7MFKVE4/bundle.json","state":"https://pith.science/pith/CB66AHJE37VBXK7XNUH7MFKVE4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CB66AHJE37VBXK7XNUH7MFKVE4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:CB66AHJE37VBXK7XNUH7MFKVE4","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":"de5c30267428d4c6019e5e45e44be0ebc43f0341f1650fb9fef8f5c16fdfbf2d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-08-02T15:14:53Z","title_canon_sha256":"b7f58e966eddca9b1d1e45b08b44f9dc17a2bf0c2c0365b5597aac340e5b7c14"},"schema_version":"1.0","source":{"id":"1808.00852","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.00852","created_at":"2026-05-18T00:03:15Z"},{"alias_kind":"arxiv_version","alias_value":"1808.00852v1","created_at":"2026-05-18T00:03:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.00852","created_at":"2026-05-18T00:03:15Z"},{"alias_kind":"pith_short_12","alias_value":"CB66AHJE37VB","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"CB66AHJE37VBXK7X","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"CB66AHJE","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:0f0d7b4f22360a64223daa386d6e0da86db893ba23ebc02d9b98afe1115b155e","target":"graph","created_at":"2026-05-18T00:03:15Z","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":"This paper studies the energy efficiency and sum rate trade-off for coordinated beamforming in multi-cell multi-user multigroup multicast multiple-input single-output systems. We first consider a conventional network energy efficiency maximization (EEmax) problem by jointly optimizing the transmit beamformers and antennas selected to be used in transmission. We also account for per-antenna maximum power constraints to avoid non-linear distortion in power amplifiers and user-specific minimum rate constraints to guarantee certain service levels and fairness. To be energy-efficient, transmit ante","authors_text":"Bj\\\"orn Ottersten, Harri Pennanen, Le-Nam Tran, Markku Juntti, Oskari Tervo, Symeon Chatzinotas","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-08-02T15:14:53Z","title":"Energy-Efficient Multi-Cell Multigroup Multicasting with Joint Beamforming and Antenna Selection"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.00852","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:a31f6d0a32f3bddacefe6cdf52614d18605b4ae26cf72ccfd2d1e713fbf1a275","target":"record","created_at":"2026-05-18T00:03:15Z","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":"de5c30267428d4c6019e5e45e44be0ebc43f0341f1650fb9fef8f5c16fdfbf2d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-08-02T15:14:53Z","title_canon_sha256":"b7f58e966eddca9b1d1e45b08b44f9dc17a2bf0c2c0365b5597aac340e5b7c14"},"schema_version":"1.0","source":{"id":"1808.00852","kind":"arxiv","version":1}},"canonical_sha256":"107de01d24dfea1babf76d0ff6155527139effc0a1f635fcffdf50cae2bd8bbd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"107de01d24dfea1babf76d0ff6155527139effc0a1f635fcffdf50cae2bd8bbd","first_computed_at":"2026-05-18T00:03:15.513875Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:15.513875Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OMepbBv2MK0wUHJrRugsM2PoaKimpA6W+gMujvEfdjES1CtERTFktNwrNu8tKrgPqJwS9TaCSpEimUOaLpFnDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:15.514494Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.00852","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a31f6d0a32f3bddacefe6cdf52614d18605b4ae26cf72ccfd2d1e713fbf1a275","sha256:0f0d7b4f22360a64223daa386d6e0da86db893ba23ebc02d9b98afe1115b155e"],"state_sha256":"2811470a59eabe1cccf6dec24d5ebd021924ffe3da73cd6f3105cb0e1983600e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NPV0432MGu91yOWIeZydOLaf99KK7lLUDo+gvrTY079llRzFRlZCaY39wkO53O3PNDyAjHZVyF6g2m1RcfYICg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T21:34:15.429712Z","bundle_sha256":"4da5f261af6d4d005834feba0598bcd06a27b20c43e0bd611bfce5e1c7c32c34"}}