{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:MCTPABGLZ4EPEJV4YLY4NUT522","short_pith_number":"pith:MCTPABGL","canonical_record":{"source":{"id":"1809.10677","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-09-27T07:29:08Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"2b83394f3a4e68583ddfa2591ff9e2e4df011140f83f37458cabff915f7c0fe5","abstract_canon_sha256":"290ed110c722b542d7439b73189deee517a549b2ee2b720f2f162b6b267b14ce"},"schema_version":"1.0"},"canonical_sha256":"60a6f004cbcf08f226bcc2f1c6d27dd692adec966ebe49e6dc0d6da95df4e9ea","source":{"kind":"arxiv","id":"1809.10677","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.10677","created_at":"2026-05-18T00:04:35Z"},{"alias_kind":"arxiv_version","alias_value":"1809.10677v1","created_at":"2026-05-18T00:04:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.10677","created_at":"2026-05-18T00:04:35Z"},{"alias_kind":"pith_short_12","alias_value":"MCTPABGLZ4EP","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"MCTPABGLZ4EPEJV4","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"MCTPABGL","created_at":"2026-05-18T12:32:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:MCTPABGLZ4EPEJV4YLY4NUT522","target":"record","payload":{"canonical_record":{"source":{"id":"1809.10677","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-09-27T07:29:08Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"2b83394f3a4e68583ddfa2591ff9e2e4df011140f83f37458cabff915f7c0fe5","abstract_canon_sha256":"290ed110c722b542d7439b73189deee517a549b2ee2b720f2f162b6b267b14ce"},"schema_version":"1.0"},"canonical_sha256":"60a6f004cbcf08f226bcc2f1c6d27dd692adec966ebe49e6dc0d6da95df4e9ea","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:35.293978Z","signature_b64":"cmB75ldy/ZAhukGTD2tLNJkhvr4MrXJcWg4l+IFYnSABuL0NVu7OKQTnPNy5LfhA374gYauURt7Qonvx/A5BCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"60a6f004cbcf08f226bcc2f1c6d27dd692adec966ebe49e6dc0d6da95df4e9ea","last_reissued_at":"2026-05-18T00:04:35.293353Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:35.293353Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.10677","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":"2026-05-18T00:04:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WdjLzqHTJ8OonbwqSB8jUpSIJ1igJeNNPi/5mJmXyWFEW2oV/XoRZ2EFGYhc5Z0ABlZ30sNO8rGCYE2YQZgwAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T09:57:16.305101Z"},"content_sha256":"d4b8bed7bf877a5dcb84546f26a834fbf62283bbc3b9a6bcd37bad51e9a10599","schema_version":"1.0","event_id":"sha256:d4b8bed7bf877a5dcb84546f26a834fbf62283bbc3b9a6bcd37bad51e9a10599"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:MCTPABGLZ4EPEJV4YLY4NUT522","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal Multicast of Tiled 360 VR Video in OFDMA Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Chengjun Guo, Ying Cui, Zhi Liu","submitted_at":"2018-09-27T07:29:08Z","abstract_excerpt":"In this letter, we study optimal multicast of tiled 360 virtual reality (VR) video from one server (base station or access point) to multiple users in an orthogonal frequency division multiple access (OFDMA) system. For given video quality, we optimize the subcarrier, transmission power and transmission rate allocation to minimize the total transmission power. For given transmission power budget, we optimize the subcarrier, transmission power and transmission rate allocation to maximize the received video quality. These two optimization problems are non-convex problems. We obtain a globally op"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.10677","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":"2026-05-18T00:04:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yX1jiOuvxndsumQk71JKq+CRSurGpQkgm0THwtnjicVW1z1NjXC/LK2o+W5jk4hkjvhmJBuaii7hY3uqyMOvCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T09:57:16.305450Z"},"content_sha256":"57f7e43217004b2b58010757203c0b9b8805470f3110a74817171fb447d0408b","schema_version":"1.0","event_id":"sha256:57f7e43217004b2b58010757203c0b9b8805470f3110a74817171fb447d0408b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MCTPABGLZ4EPEJV4YLY4NUT522/bundle.json","state_url":"https://pith.science/pith/MCTPABGLZ4EPEJV4YLY4NUT522/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MCTPABGLZ4EPEJV4YLY4NUT522/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":"2026-07-07T09:57:16Z","links":{"resolver":"https://pith.science/pith/MCTPABGLZ4EPEJV4YLY4NUT522","bundle":"https://pith.science/pith/MCTPABGLZ4EPEJV4YLY4NUT522/bundle.json","state":"https://pith.science/pith/MCTPABGLZ4EPEJV4YLY4NUT522/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MCTPABGLZ4EPEJV4YLY4NUT522/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:MCTPABGLZ4EPEJV4YLY4NUT522","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":"290ed110c722b542d7439b73189deee517a549b2ee2b720f2f162b6b267b14ce","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-09-27T07:29:08Z","title_canon_sha256":"2b83394f3a4e68583ddfa2591ff9e2e4df011140f83f37458cabff915f7c0fe5"},"schema_version":"1.0","source":{"id":"1809.10677","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.10677","created_at":"2026-05-18T00:04:35Z"},{"alias_kind":"arxiv_version","alias_value":"1809.10677v1","created_at":"2026-05-18T00:04:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.10677","created_at":"2026-05-18T00:04:35Z"},{"alias_kind":"pith_short_12","alias_value":"MCTPABGLZ4EP","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"MCTPABGLZ4EPEJV4","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"MCTPABGL","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:57f7e43217004b2b58010757203c0b9b8805470f3110a74817171fb447d0408b","target":"graph","created_at":"2026-05-18T00:04:35Z","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 this letter, we study optimal multicast of tiled 360 virtual reality (VR) video from one server (base station or access point) to multiple users in an orthogonal frequency division multiple access (OFDMA) system. For given video quality, we optimize the subcarrier, transmission power and transmission rate allocation to minimize the total transmission power. For given transmission power budget, we optimize the subcarrier, transmission power and transmission rate allocation to maximize the received video quality. These two optimization problems are non-convex problems. We obtain a globally op","authors_text":"Chengjun Guo, Ying Cui, Zhi Liu","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-09-27T07:29:08Z","title":"Optimal Multicast of Tiled 360 VR Video in OFDMA Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.10677","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:d4b8bed7bf877a5dcb84546f26a834fbf62283bbc3b9a6bcd37bad51e9a10599","target":"record","created_at":"2026-05-18T00:04:35Z","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":"290ed110c722b542d7439b73189deee517a549b2ee2b720f2f162b6b267b14ce","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-09-27T07:29:08Z","title_canon_sha256":"2b83394f3a4e68583ddfa2591ff9e2e4df011140f83f37458cabff915f7c0fe5"},"schema_version":"1.0","source":{"id":"1809.10677","kind":"arxiv","version":1}},"canonical_sha256":"60a6f004cbcf08f226bcc2f1c6d27dd692adec966ebe49e6dc0d6da95df4e9ea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"60a6f004cbcf08f226bcc2f1c6d27dd692adec966ebe49e6dc0d6da95df4e9ea","first_computed_at":"2026-05-18T00:04:35.293353Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:35.293353Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cmB75ldy/ZAhukGTD2tLNJkhvr4MrXJcWg4l+IFYnSABuL0NVu7OKQTnPNy5LfhA374gYauURt7Qonvx/A5BCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:35.293978Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.10677","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d4b8bed7bf877a5dcb84546f26a834fbf62283bbc3b9a6bcd37bad51e9a10599","sha256:57f7e43217004b2b58010757203c0b9b8805470f3110a74817171fb447d0408b"],"state_sha256":"58cb61ff6d6f11e5f67d99df3c12e964aa78e3d9daab794de99d7285fd78cf71"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RHZcgGmh1VzjYJ2sTKpIfh0eoBgWsV2iJVccBkU3iXo8UM/XB3GNBjSDQoVLeAc5GHBJuvGFmWZupH92UzOBAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T09:57:16.307342Z","bundle_sha256":"ad082e62af8ed35ec734cc061dbee41fa58b55212521fb0e29130589b1a4c260"}}