{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:3ZQC35FAY6DIM4C5NA5B7XOVPY","short_pith_number":"pith:3ZQC35FA","canonical_record":{"source":{"id":"1810.11781","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-10-28T09:07:59Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"91b8affb43aac5bba4de08dffc5d5b224a5d2ee3979b600d7d758164ae4e0bf0","abstract_canon_sha256":"ce0120a71636f01b5ec205508f3b0795fa3b6a6ca894b323bb02606828a7f062"},"schema_version":"1.0"},"canonical_sha256":"de602df4a0c78686705d683a1fddd57e0ddb45431ad1a9003de6936a34b6031b","source":{"kind":"arxiv","id":"1810.11781","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.11781","created_at":"2026-05-18T00:02:07Z"},{"alias_kind":"arxiv_version","alias_value":"1810.11781v1","created_at":"2026-05-18T00:02:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.11781","created_at":"2026-05-18T00:02:07Z"},{"alias_kind":"pith_short_12","alias_value":"3ZQC35FAY6DI","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"3ZQC35FAY6DIM4C5","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"3ZQC35FA","created_at":"2026-05-18T12:32:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:3ZQC35FAY6DIM4C5NA5B7XOVPY","target":"record","payload":{"canonical_record":{"source":{"id":"1810.11781","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-10-28T09:07:59Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"91b8affb43aac5bba4de08dffc5d5b224a5d2ee3979b600d7d758164ae4e0bf0","abstract_canon_sha256":"ce0120a71636f01b5ec205508f3b0795fa3b6a6ca894b323bb02606828a7f062"},"schema_version":"1.0"},"canonical_sha256":"de602df4a0c78686705d683a1fddd57e0ddb45431ad1a9003de6936a34b6031b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:07.420374Z","signature_b64":"ip5JjAELliSWhB0S8onOTzYK7+GHLAJqPU5H+ebrX8fHmgFAiRxczt90M/+DZ22Md3MAZDLHDLMdbBrBa2k7Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de602df4a0c78686705d683a1fddd57e0ddb45431ad1a9003de6936a34b6031b","last_reissued_at":"2026-05-18T00:02:07.419608Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:07.419608Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.11781","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":"2026-05-18T00:02:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XuKWACR7L6KW+NPQGQJ5oLmNOQz4Ri3CVd+DFaQhHJyLZ1rdPt86W8YdnyxT99vshHtN/YXorQ/XnKHytRAqAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T14:09:52.766414Z"},"content_sha256":"91f0b8b25a81e0cca86bc17385a4d1e7860dfd5c0dc5e3969cd1c0065e8b17dd","schema_version":"1.0","event_id":"sha256:91f0b8b25a81e0cca86bc17385a4d1e7860dfd5c0dc5e3969cd1c0065e8b17dd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:3ZQC35FAY6DIM4C5NA5B7XOVPY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Broadcasting Information subject to State Masking","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Michael Dikshtein, Shlomo Shamai","submitted_at":"2018-10-28T09:07:59Z","abstract_excerpt":"We study the problem of coding over a general discrete memoryless broadcast channel controlled by random parameters. The parameters are available at the transmitter in a non-causal manner and are subject to a state masking constraint on the receivers. We derive inner and outer bounds on the achievable region and show that for the special case of Gaussian broadcast channel with private messages, these bounds are tight."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.11781","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":"2026-05-18T00:02:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6uPV1O/rsp2rEBwieVwcXrsBB2QOZHH6Ev7FEkXY40HQyup4vlF3+w3HxWkIpacUMu7Ub1H9EvUyTUaOSVpwCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T14:09:52.766786Z"},"content_sha256":"f3b277c78ec3dbea772d7a4f1c763f60d777945103dc2526d5d3c377e25ad989","schema_version":"1.0","event_id":"sha256:f3b277c78ec3dbea772d7a4f1c763f60d777945103dc2526d5d3c377e25ad989"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3ZQC35FAY6DIM4C5NA5B7XOVPY/bundle.json","state_url":"https://pith.science/pith/3ZQC35FAY6DIM4C5NA5B7XOVPY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3ZQC35FAY6DIM4C5NA5B7XOVPY/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":"2026-06-05T14:09:52Z","links":{"resolver":"https://pith.science/pith/3ZQC35FAY6DIM4C5NA5B7XOVPY","bundle":"https://pith.science/pith/3ZQC35FAY6DIM4C5NA5B7XOVPY/bundle.json","state":"https://pith.science/pith/3ZQC35FAY6DIM4C5NA5B7XOVPY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3ZQC35FAY6DIM4C5NA5B7XOVPY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:3ZQC35FAY6DIM4C5NA5B7XOVPY","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":"ce0120a71636f01b5ec205508f3b0795fa3b6a6ca894b323bb02606828a7f062","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-10-28T09:07:59Z","title_canon_sha256":"91b8affb43aac5bba4de08dffc5d5b224a5d2ee3979b600d7d758164ae4e0bf0"},"schema_version":"1.0","source":{"id":"1810.11781","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.11781","created_at":"2026-05-18T00:02:07Z"},{"alias_kind":"arxiv_version","alias_value":"1810.11781v1","created_at":"2026-05-18T00:02:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.11781","created_at":"2026-05-18T00:02:07Z"},{"alias_kind":"pith_short_12","alias_value":"3ZQC35FAY6DI","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"3ZQC35FAY6DIM4C5","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"3ZQC35FA","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:f3b277c78ec3dbea772d7a4f1c763f60d777945103dc2526d5d3c377e25ad989","target":"graph","created_at":"2026-05-18T00:02:07Z","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":"We study the problem of coding over a general discrete memoryless broadcast channel controlled by random parameters. The parameters are available at the transmitter in a non-causal manner and are subject to a state masking constraint on the receivers. We derive inner and outer bounds on the achievable region and show that for the special case of Gaussian broadcast channel with private messages, these bounds are tight.","authors_text":"Michael Dikshtein, Shlomo Shamai","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-10-28T09:07:59Z","title":"Broadcasting Information subject to State Masking"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.11781","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":"sha256:91f0b8b25a81e0cca86bc17385a4d1e7860dfd5c0dc5e3969cd1c0065e8b17dd","target":"record","created_at":"2026-05-18T00:02:07Z","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":"ce0120a71636f01b5ec205508f3b0795fa3b6a6ca894b323bb02606828a7f062","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-10-28T09:07:59Z","title_canon_sha256":"91b8affb43aac5bba4de08dffc5d5b224a5d2ee3979b600d7d758164ae4e0bf0"},"schema_version":"1.0","source":{"id":"1810.11781","kind":"arxiv","version":1}},"canonical_sha256":"de602df4a0c78686705d683a1fddd57e0ddb45431ad1a9003de6936a34b6031b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de602df4a0c78686705d683a1fddd57e0ddb45431ad1a9003de6936a34b6031b","first_computed_at":"2026-05-18T00:02:07.419608Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:07.419608Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ip5JjAELliSWhB0S8onOTzYK7+GHLAJqPU5H+ebrX8fHmgFAiRxczt90M/+DZ22Md3MAZDLHDLMdbBrBa2k7Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:07.420374Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.11781","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:91f0b8b25a81e0cca86bc17385a4d1e7860dfd5c0dc5e3969cd1c0065e8b17dd","sha256:f3b277c78ec3dbea772d7a4f1c763f60d777945103dc2526d5d3c377e25ad989"],"state_sha256":"f623eff59cf49ae4423dff531af8bada64e9a17d7e9159ee5ba4960fd1f5698f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FUbB5GoDx5edPkS6LOyexIAb6bR5RkSqR3z5dCkoC9oTOxwwdCmwIoxbXm37aBx8UqnFIairjZsCl/o8QjtkAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T14:09:52.768887Z","bundle_sha256":"3e97662a61ef248ded84cf7fe153ca5db2149c5ef89f8a8dbe3a0a0d3916cb21"}}