{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:JGFDWDZYK2OZRNUBMNPLIITN7U","short_pith_number":"pith:JGFDWDZY","canonical_record":{"source":{"id":"1504.03411","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-04-14T03:18:51Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"a4b5b58ed7a52d6ba803231722efb5c9bb3d6ae653f894768b1d62d2472dc0bf","abstract_canon_sha256":"7c9e9a3242036244ff28ffb8671534e22c2a85cb95c95a2141ed47a9aaebc4f2"},"schema_version":"1.0"},"canonical_sha256":"498a3b0f38569d98b681635eb4226dfd27824654ef5de33bb8a1d002552bf168","source":{"kind":"arxiv","id":"1504.03411","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:JGFDWDZYK2OZRNUBMNPLIITN7U","target":"record","payload":{"canonical_record":{"source":{"id":"1504.03411","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-04-14T03:18:51Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"a4b5b58ed7a52d6ba803231722efb5c9bb3d6ae653f894768b1d62d2472dc0bf","abstract_canon_sha256":"7c9e9a3242036244ff28ffb8671534e22c2a85cb95c95a2141ed47a9aaebc4f2"},"schema_version":"1.0"},"canonical_sha256":"498a3b0f38569d98b681635eb4226dfd27824654ef5de33bb8a1d002552bf168","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:18:52.256289Z","signature_b64":"nmOXyxS5kJAKrSvH2QQN5eNZz/JzzSiiug0R6inj9gCveyi8y4lrFBYLajHdIeIFyzosJ3RLkM2/fkZtFbr+DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"498a3b0f38569d98b681635eb4226dfd27824654ef5de33bb8a1d002552bf168","last_reissued_at":"2026-05-18T02:18:52.255673Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:18:52.255673Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.03411","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":"2026-05-18T02:18:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FPIyf9nwWcxsmPPPCu9mrdEckvLgsf4+eR1V9CXCfe8VlWmOffvr1Ff9SNHe3uw3Zf47uo9E7E/RyNBwL8Y3Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T02:31:56.692802Z"},"content_sha256":"4b021a0926fae7049482a66a4ce4c1a59e1690d641c2abffb834a39937e5fddf","schema_version":"1.0","event_id":"sha256:4b021a0926fae7049482a66a4ce4c1a59e1690d641c2abffb834a39937e5fddf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:JGFDWDZYK2OZRNUBMNPLIITN7U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Private Key Capacity of a Cooperative Pairwise-Independent Network","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Peng Xu, Xuchu Dai, Zhiguo Ding","submitted_at":"2015-04-14T03:18:51Z","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 "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.03411","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":"2026-05-18T02:18:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kYxaLl3Y+97406Cw4FsvjXx5GGiW6+bRZ10rRtubB9khSN9zJb0r8yOSejZECDeBdkcKr/7BN5U+k2LePdbSAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T02:31:56.693508Z"},"content_sha256":"b21779420573a0f9c26779810cbd0a0c8de780e9803745fe8f4e81c26ef23303","schema_version":"1.0","event_id":"sha256:b21779420573a0f9c26779810cbd0a0c8de780e9803745fe8f4e81c26ef23303"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JGFDWDZYK2OZRNUBMNPLIITN7U/bundle.json","state_url":"https://pith.science/pith/JGFDWDZYK2OZRNUBMNPLIITN7U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JGFDWDZYK2OZRNUBMNPLIITN7U/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":"2026-06-10T02:31:56Z","links":{"resolver":"https://pith.science/pith/JGFDWDZYK2OZRNUBMNPLIITN7U","bundle":"https://pith.science/pith/JGFDWDZYK2OZRNUBMNPLIITN7U/bundle.json","state":"https://pith.science/pith/JGFDWDZYK2OZRNUBMNPLIITN7U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JGFDWDZYK2OZRNUBMNPLIITN7U/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fEtZL9+eJmHspUuEAgmmRhUvz8jIErG9m2ugvwWw8vI1uGxWGFxZ/6LMw8yiK9ownkZfq/1vKbhZMYCCgUPFCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T02:31:56.697882Z","bundle_sha256":"f786b8a07873f182a90f4b41decdeca73f9fad832c58d4d8eb16739023e55b60"}}