{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:JGFDWDZYK2OZRNUBMNPLIITN7U","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":"7c9e9a3242036244ff28ffb8671534e22c2a85cb95c95a2141ed47a9aaebc4f2","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-04-14T03:18:51Z","title_canon_sha256":"a4b5b58ed7a52d6ba803231722efb5c9bb3d6ae653f894768b1d62d2472dc0bf"},"schema_version":"1.0","source":{"id":"1504.03411","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.03411","created_at":"2026-05-18T02:18:52Z"},{"alias_kind":"arxiv_version","alias_value":"1504.03411v1","created_at":"2026-05-18T02:18:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.03411","created_at":"2026-05-18T02:18:52Z"},{"alias_kind":"pith_short_12","alias_value":"JGFDWDZYK2OZ","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JGFDWDZYK2OZRNUB","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JGFDWDZY","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:b21779420573a0f9c26779810cbd0a0c8de780e9803745fe8f4e81c26ef23303","target":"graph","created_at":"2026-05-18T02:18:52Z","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 private key generation of a cooperative pairwise-independent network (PIN) with M+2 terminals (Alice, Bob and M relays), M >= 2. In this PIN, the correlated sources observed by every pair of terminals are independent of those sources observed by any other pair of terminal. All the terminals can communicate with each other over a public channel which is also observed by Eve noiselessly. The objective is to generate a private key between Alice and Bob under the help of the M relays; such a private key needs to be protected not only from Eve but also from individual relays ","authors_text":"Peng Xu, Xuchu Dai, Zhiguo Ding","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-04-14T03:18:51Z","title":"The Private Key Capacity of a Cooperative Pairwise-Independent Network"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.03411","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":"sha256:4b021a0926fae7049482a66a4ce4c1a59e1690d641c2abffb834a39937e5fddf","target":"record","created_at":"2026-05-18T02:18:52Z","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":"7c9e9a3242036244ff28ffb8671534e22c2a85cb95c95a2141ed47a9aaebc4f2","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-04-14T03:18:51Z","title_canon_sha256":"a4b5b58ed7a52d6ba803231722efb5c9bb3d6ae653f894768b1d62d2472dc0bf"},"schema_version":"1.0","source":{"id":"1504.03411","kind":"arxiv","version":1}},"canonical_sha256":"498a3b0f38569d98b681635eb4226dfd27824654ef5de33bb8a1d002552bf168","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"498a3b0f38569d98b681635eb4226dfd27824654ef5de33bb8a1d002552bf168","first_computed_at":"2026-05-18T02:18:52.255673Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:52.255673Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nmOXyxS5kJAKrSvH2QQN5eNZz/JzzSiiug0R6inj9gCveyi8y4lrFBYLajHdIeIFyzosJ3RLkM2/fkZtFbr+DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:52.256289Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.03411","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b021a0926fae7049482a66a4ce4c1a59e1690d641c2abffb834a39937e5fddf","sha256:b21779420573a0f9c26779810cbd0a0c8de780e9803745fe8f4e81c26ef23303"],"state_sha256":"deff4223c801645a5cacb78156b1a7ede505f400acd88360f74d1eb961c3dfe0"}