{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:YNBT4UBTLPWK7EYATXJSWWNSOM","short_pith_number":"pith:YNBT4UBT","canonical_record":{"source":{"id":"1406.7699","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-06-30T12:34:27Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"97bd828f0e48244ff849042a70b87d63c83e7d6699b3c9cedd8ccee9f7919b24","abstract_canon_sha256":"0cd82a8eb2c710ec3df64b537b2419799f1177f2ae11923bfcdb699afed87655"},"schema_version":"1.0"},"canonical_sha256":"c3433e50335becaf93009dd32b59b2732db155900e8e33cf2964fd3ad8725147","source":{"kind":"arxiv","id":"1406.7699","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.7699","created_at":"2026-05-18T00:58:11Z"},{"alias_kind":"arxiv_version","alias_value":"1406.7699v2","created_at":"2026-05-18T00:58:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.7699","created_at":"2026-05-18T00:58:11Z"},{"alias_kind":"pith_short_12","alias_value":"YNBT4UBTLPWK","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YNBT4UBTLPWK7EYA","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YNBT4UBT","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:YNBT4UBTLPWK7EYATXJSWWNSOM","target":"record","payload":{"canonical_record":{"source":{"id":"1406.7699","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-06-30T12:34:27Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"97bd828f0e48244ff849042a70b87d63c83e7d6699b3c9cedd8ccee9f7919b24","abstract_canon_sha256":"0cd82a8eb2c710ec3df64b537b2419799f1177f2ae11923bfcdb699afed87655"},"schema_version":"1.0"},"canonical_sha256":"c3433e50335becaf93009dd32b59b2732db155900e8e33cf2964fd3ad8725147","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:58:11.607586Z","signature_b64":"Ac3WqbBVoadFWDH5nZMvSMDUIvccBRYD8sSVwYSk7pUaWKZ8TP9N4of0RD8Mq3dypOefgH7M4OF66B5qbkqCCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c3433e50335becaf93009dd32b59b2732db155900e8e33cf2964fd3ad8725147","last_reissued_at":"2026-05-18T00:58:11.607039Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:58:11.607039Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.7699","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":"2026-05-18T00:58:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bXli8tFrPTRs8IAmrxQUHQzmLg33JfRR3/AKxZSO+XbD1fzQLbd5pynITa4NDr06SiU4rNzgLUlCpG4cgXCdAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T04:46:17.708577Z"},"content_sha256":"d8146cdc14531b8e17ea265ebc1734ab01e3ee3b47cc847a3fc2e425d97e163d","schema_version":"1.0","event_id":"sha256:d8146cdc14531b8e17ea265ebc1734ab01e3ee3b47cc847a3fc2e425d97e163d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:YNBT4UBTLPWK7EYATXJSWWNSOM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multicast Multigroup Precoding and User Scheduling for Frame-Based Satellite Communications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Bjorn Ottersten, Dimitrios Christopoulos, Symeon Chatzinotas","submitted_at":"2014-06-30T12:34:27Z","abstract_excerpt":"The present work focuses on the forward link of a broadband multibeam satellite system that aggressively reuses the user link frequency resources. Two fundamental practical challenges, namely the need to frame multiple users per transmission and the per-antenna transmit power limitations, are addressed. To this end, the so-called frame-based precoding problem is optimally solved using the principles of physical layer multicasting to multiple co-channel groups under per-antenna constraints. In this context, a novel optimization problem that aims at maximizing the system sum rate under individua"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.7699","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":"2026-05-18T00:58:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JKxHMIUxV/YT5Iw/XQNRGlhu2EZf/9iIWGgEh34bP0bavCy0VudtHFs0fxfR6pRmZfr0GaNMCQsbpfjc50JfDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T04:46:17.708929Z"},"content_sha256":"367ad8c5fff173d00064d81a9606de64b681c3323826e85e1cb847b016f5f609","schema_version":"1.0","event_id":"sha256:367ad8c5fff173d00064d81a9606de64b681c3323826e85e1cb847b016f5f609"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YNBT4UBTLPWK7EYATXJSWWNSOM/bundle.json","state_url":"https://pith.science/pith/YNBT4UBTLPWK7EYATXJSWWNSOM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YNBT4UBTLPWK7EYATXJSWWNSOM/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":"2026-05-31T04:46:17Z","links":{"resolver":"https://pith.science/pith/YNBT4UBTLPWK7EYATXJSWWNSOM","bundle":"https://pith.science/pith/YNBT4UBTLPWK7EYATXJSWWNSOM/bundle.json","state":"https://pith.science/pith/YNBT4UBTLPWK7EYATXJSWWNSOM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YNBT4UBTLPWK7EYATXJSWWNSOM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:YNBT4UBTLPWK7EYATXJSWWNSOM","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":"0cd82a8eb2c710ec3df64b537b2419799f1177f2ae11923bfcdb699afed87655","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-06-30T12:34:27Z","title_canon_sha256":"97bd828f0e48244ff849042a70b87d63c83e7d6699b3c9cedd8ccee9f7919b24"},"schema_version":"1.0","source":{"id":"1406.7699","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.7699","created_at":"2026-05-18T00:58:11Z"},{"alias_kind":"arxiv_version","alias_value":"1406.7699v2","created_at":"2026-05-18T00:58:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.7699","created_at":"2026-05-18T00:58:11Z"},{"alias_kind":"pith_short_12","alias_value":"YNBT4UBTLPWK","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YNBT4UBTLPWK7EYA","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YNBT4UBT","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:367ad8c5fff173d00064d81a9606de64b681c3323826e85e1cb847b016f5f609","target":"graph","created_at":"2026-05-18T00:58:11Z","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":"The present work focuses on the forward link of a broadband multibeam satellite system that aggressively reuses the user link frequency resources. Two fundamental practical challenges, namely the need to frame multiple users per transmission and the per-antenna transmit power limitations, are addressed. To this end, the so-called frame-based precoding problem is optimally solved using the principles of physical layer multicasting to multiple co-channel groups under per-antenna constraints. In this context, a novel optimization problem that aims at maximizing the system sum rate under individua","authors_text":"Bjorn Ottersten, Dimitrios Christopoulos, Symeon Chatzinotas","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-06-30T12:34:27Z","title":"Multicast Multigroup Precoding and User Scheduling for Frame-Based Satellite Communications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.7699","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:d8146cdc14531b8e17ea265ebc1734ab01e3ee3b47cc847a3fc2e425d97e163d","target":"record","created_at":"2026-05-18T00:58:11Z","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":"0cd82a8eb2c710ec3df64b537b2419799f1177f2ae11923bfcdb699afed87655","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-06-30T12:34:27Z","title_canon_sha256":"97bd828f0e48244ff849042a70b87d63c83e7d6699b3c9cedd8ccee9f7919b24"},"schema_version":"1.0","source":{"id":"1406.7699","kind":"arxiv","version":2}},"canonical_sha256":"c3433e50335becaf93009dd32b59b2732db155900e8e33cf2964fd3ad8725147","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3433e50335becaf93009dd32b59b2732db155900e8e33cf2964fd3ad8725147","first_computed_at":"2026-05-18T00:58:11.607039Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:58:11.607039Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ac3WqbBVoadFWDH5nZMvSMDUIvccBRYD8sSVwYSk7pUaWKZ8TP9N4of0RD8Mq3dypOefgH7M4OF66B5qbkqCCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:58:11.607586Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.7699","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d8146cdc14531b8e17ea265ebc1734ab01e3ee3b47cc847a3fc2e425d97e163d","sha256:367ad8c5fff173d00064d81a9606de64b681c3323826e85e1cb847b016f5f609"],"state_sha256":"3d630fd7de007ce5a56dbe5a69b64f782413db11c5a7968fb72f61d14ad88cbb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1NF0HKzlxfVAW8oVZ1lpfUYNttWbnI6esxFS7eIe58/MPQpwNrnI/cB3ehesZsZCxoQnusIYmmckNNOBvcpGAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T04:46:17.710890Z","bundle_sha256":"13337a3e8fe77c64985e9524628fb141728dd8527061fff81666528768a1d652"}}