{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:5Q73VG3JBMAIGPEVCXKVXZGBDA","short_pith_number":"pith:5Q73VG3J","schema_version":"1.0","canonical_sha256":"ec3fba9b690b00833c9515d55be4c118394a93f6061e032f7ad786523e94f77c","source":{"kind":"arxiv","id":"1504.06136","version":3},"attestation_state":"computed","paper":{"title":"Broadcast Channels with Privacy Leakage Constraints","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Gerhard Kramer, Haim H. Permuter, Ziv Goldfeld","submitted_at":"2015-04-23T12:02:23Z","abstract_excerpt":"The broadcast channel (BC) with one common and two private messages with leakage constraints is studied, where leakage rate refers to the normalized mutual information between a message and a channel symbol string. Each private message is destined for a different user and the leakage rate to the other receiver must satisfy a constraint. This model captures several scenarios concerning secrecy, i.e., when both, either or neither of the private messages are secret. Inner and outer bounds on the leakage-capacity region are derived when the eavesdropper knows the codebook. The inner bound relies o"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1504.06136","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-04-23T12:02:23Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"95a730c67edbb6ab181fc38de3dd536eadc21b684a052b17a8e5780d2de2f16a","abstract_canon_sha256":"be994c4158dd452f0428d1e11aa59f95fbb3e5fc157276b2fe7aa2233d5584d9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:36.136176Z","signature_b64":"7+OSiNFLBDsFMpmfosDQ6aZ27+koS1DjX/i/EpyT9ayVrtv2IL1sdoM02gILbAAMRWxVnW8dIEF2BYyg60epBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec3fba9b690b00833c9515d55be4c118394a93f6061e032f7ad786523e94f77c","last_reissued_at":"2026-05-18T00:43:36.135751Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:36.135751Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Broadcast Channels with Privacy Leakage Constraints","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Gerhard Kramer, Haim H. Permuter, Ziv Goldfeld","submitted_at":"2015-04-23T12:02:23Z","abstract_excerpt":"The broadcast channel (BC) with one common and two private messages with leakage constraints is studied, where leakage rate refers to the normalized mutual information between a message and a channel symbol string. Each private message is destined for a different user and the leakage rate to the other receiver must satisfy a constraint. This model captures several scenarios concerning secrecy, i.e., when both, either or neither of the private messages are secret. Inner and outer bounds on the leakage-capacity region are derived when the eavesdropper knows the codebook. The inner bound relies o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.06136","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1504.06136","created_at":"2026-05-18T00:43:36.135819+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.06136v3","created_at":"2026-05-18T00:43:36.135819+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.06136","created_at":"2026-05-18T00:43:36.135819+00:00"},{"alias_kind":"pith_short_12","alias_value":"5Q73VG3JBMAI","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_16","alias_value":"5Q73VG3JBMAIGPEV","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_8","alias_value":"5Q73VG3J","created_at":"2026-05-18T12:29:05.191682+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5Q73VG3JBMAIGPEVCXKVXZGBDA","json":"https://pith.science/pith/5Q73VG3JBMAIGPEVCXKVXZGBDA.json","graph_json":"https://pith.science/api/pith-number/5Q73VG3JBMAIGPEVCXKVXZGBDA/graph.json","events_json":"https://pith.science/api/pith-number/5Q73VG3JBMAIGPEVCXKVXZGBDA/events.json","paper":"https://pith.science/paper/5Q73VG3J"},"agent_actions":{"view_html":"https://pith.science/pith/5Q73VG3JBMAIGPEVCXKVXZGBDA","download_json":"https://pith.science/pith/5Q73VG3JBMAIGPEVCXKVXZGBDA.json","view_paper":"https://pith.science/paper/5Q73VG3J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.06136&json=true","fetch_graph":"https://pith.science/api/pith-number/5Q73VG3JBMAIGPEVCXKVXZGBDA/graph.json","fetch_events":"https://pith.science/api/pith-number/5Q73VG3JBMAIGPEVCXKVXZGBDA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5Q73VG3JBMAIGPEVCXKVXZGBDA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5Q73VG3JBMAIGPEVCXKVXZGBDA/action/storage_attestation","attest_author":"https://pith.science/pith/5Q73VG3JBMAIGPEVCXKVXZGBDA/action/author_attestation","sign_citation":"https://pith.science/pith/5Q73VG3JBMAIGPEVCXKVXZGBDA/action/citation_signature","submit_replication":"https://pith.science/pith/5Q73VG3JBMAIGPEVCXKVXZGBDA/action/replication_record"}},"created_at":"2026-05-18T00:43:36.135819+00:00","updated_at":"2026-05-18T00:43:36.135819+00:00"}