{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:KLSEYIZ3PPK5GN4ZL7XBOJSKS7","short_pith_number":"pith:KLSEYIZ3","canonical_record":{"source":{"id":"1605.01033","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-05-03T19:26:27Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"52cecd7b061977c22d23dac88955adbc6d102a7e5103dbb5f8824c7a2b54f799","abstract_canon_sha256":"e975cd5d13bfe19293160ddfe03f385943e20f9603f106586c2cd2e8cbf0abcd"},"schema_version":"1.0"},"canonical_sha256":"52e44c233b7bd5d337995fee17264a97c39dcf64df57febc591c1ed6cd5af58d","source":{"kind":"arxiv","id":"1605.01033","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.01033","created_at":"2026-05-18T00:52:23Z"},{"alias_kind":"arxiv_version","alias_value":"1605.01033v2","created_at":"2026-05-18T00:52:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.01033","created_at":"2026-05-18T00:52:23Z"},{"alias_kind":"pith_short_12","alias_value":"KLSEYIZ3PPK5","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"KLSEYIZ3PPK5GN4Z","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"KLSEYIZ3","created_at":"2026-05-18T12:30:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:KLSEYIZ3PPK5GN4ZL7XBOJSKS7","target":"record","payload":{"canonical_record":{"source":{"id":"1605.01033","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-05-03T19:26:27Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"52cecd7b061977c22d23dac88955adbc6d102a7e5103dbb5f8824c7a2b54f799","abstract_canon_sha256":"e975cd5d13bfe19293160ddfe03f385943e20f9603f106586c2cd2e8cbf0abcd"},"schema_version":"1.0"},"canonical_sha256":"52e44c233b7bd5d337995fee17264a97c39dcf64df57febc591c1ed6cd5af58d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:23.372994Z","signature_b64":"mvMVQIM4EyI3JnEGHwpAqMWcGICwy8FnYtV2TLxQC1L/Vm3bK3qcJGN5ZPujloj5Xt3Z4cj7ppSbYfLRIlCFDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"52e44c233b7bd5d337995fee17264a97c39dcf64df57febc591c1ed6cd5af58d","last_reissued_at":"2026-05-18T00:52:23.372397Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:23.372397Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.01033","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:52:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JOiwXLPisPCQF8ePaTD0whditz7/fXK1mF+o7iQ759IO3plwPuRIxnq0v/DyxWeip3iPOcL5dCFF0kGmqH+WCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T06:33:07.497353Z"},"content_sha256":"9a573128b272e60dcd1c31f405c7f40f03b017e0466478265e5ccbd8e74e0623","schema_version":"1.0","event_id":"sha256:9a573128b272e60dcd1c31f405c7f40f03b017e0466478265e5ccbd8e74e0623"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:KLSEYIZ3PPK5GN4ZL7XBOJSKS7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Universal Multiparty Data Exchange and Secret Key Agreement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Himanshu Tyagi, Shun Watanabe","submitted_at":"2016-05-03T19:26:27Z","abstract_excerpt":"Multiple parties observing correlated data seek to recover each other's data and attain omniscience. To that end, they communicate interactively over a noiseless broadcast channel - each bit transmitted over this channel is received by all the parties. We give a universal interactive communication protocol, termed the recursive data exchange protocol (RDE), which attains omniscience for any sequence of data observed by the parties and provide an individual sequence guarantee of performance. As a by-product, for observations of length $n$, we show the universal rate optimality of RDE up to an $"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.01033","kind":"arxiv","version":2},"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":"2026-05-18T00:52:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5XQTzRBxOeGC4OGz9yEbYjZIFrcXlDlJvXB5RMIOYlSCXxUeiaR6cz+V3g1TemFmAaEA3mAQ1wobtXHy/Sa/AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T06:33:07.498147Z"},"content_sha256":"857b6e30fbbc7feb5aeada39411e16ac9dc0d24bea1c65c46d9c3e2de9bc1b9f","schema_version":"1.0","event_id":"sha256:857b6e30fbbc7feb5aeada39411e16ac9dc0d24bea1c65c46d9c3e2de9bc1b9f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KLSEYIZ3PPK5GN4ZL7XBOJSKS7/bundle.json","state_url":"https://pith.science/pith/KLSEYIZ3PPK5GN4ZL7XBOJSKS7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KLSEYIZ3PPK5GN4ZL7XBOJSKS7/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":"2026-06-08T06:33:07Z","links":{"resolver":"https://pith.science/pith/KLSEYIZ3PPK5GN4ZL7XBOJSKS7","bundle":"https://pith.science/pith/KLSEYIZ3PPK5GN4ZL7XBOJSKS7/bundle.json","state":"https://pith.science/pith/KLSEYIZ3PPK5GN4ZL7XBOJSKS7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KLSEYIZ3PPK5GN4ZL7XBOJSKS7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:KLSEYIZ3PPK5GN4ZL7XBOJSKS7","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":"e975cd5d13bfe19293160ddfe03f385943e20f9603f106586c2cd2e8cbf0abcd","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-05-03T19:26:27Z","title_canon_sha256":"52cecd7b061977c22d23dac88955adbc6d102a7e5103dbb5f8824c7a2b54f799"},"schema_version":"1.0","source":{"id":"1605.01033","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.01033","created_at":"2026-05-18T00:52:23Z"},{"alias_kind":"arxiv_version","alias_value":"1605.01033v2","created_at":"2026-05-18T00:52:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.01033","created_at":"2026-05-18T00:52:23Z"},{"alias_kind":"pith_short_12","alias_value":"KLSEYIZ3PPK5","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"KLSEYIZ3PPK5GN4Z","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"KLSEYIZ3","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:857b6e30fbbc7feb5aeada39411e16ac9dc0d24bea1c65c46d9c3e2de9bc1b9f","target":"graph","created_at":"2026-05-18T00:52:23Z","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":"Multiple parties observing correlated data seek to recover each other's data and attain omniscience. To that end, they communicate interactively over a noiseless broadcast channel - each bit transmitted over this channel is received by all the parties. We give a universal interactive communication protocol, termed the recursive data exchange protocol (RDE), which attains omniscience for any sequence of data observed by the parties and provide an individual sequence guarantee of performance. As a by-product, for observations of length $n$, we show the universal rate optimality of RDE up to an $","authors_text":"Himanshu Tyagi, Shun Watanabe","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-05-03T19:26:27Z","title":"Universal Multiparty Data Exchange and Secret Key Agreement"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.01033","kind":"arxiv","version":2},"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":"sha256:9a573128b272e60dcd1c31f405c7f40f03b017e0466478265e5ccbd8e74e0623","target":"record","created_at":"2026-05-18T00:52:23Z","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":"e975cd5d13bfe19293160ddfe03f385943e20f9603f106586c2cd2e8cbf0abcd","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-05-03T19:26:27Z","title_canon_sha256":"52cecd7b061977c22d23dac88955adbc6d102a7e5103dbb5f8824c7a2b54f799"},"schema_version":"1.0","source":{"id":"1605.01033","kind":"arxiv","version":2}},"canonical_sha256":"52e44c233b7bd5d337995fee17264a97c39dcf64df57febc591c1ed6cd5af58d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"52e44c233b7bd5d337995fee17264a97c39dcf64df57febc591c1ed6cd5af58d","first_computed_at":"2026-05-18T00:52:23.372397Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:23.372397Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mvMVQIM4EyI3JnEGHwpAqMWcGICwy8FnYtV2TLxQC1L/Vm3bK3qcJGN5ZPujloj5Xt3Z4cj7ppSbYfLRIlCFDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:23.372994Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.01033","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9a573128b272e60dcd1c31f405c7f40f03b017e0466478265e5ccbd8e74e0623","sha256:857b6e30fbbc7feb5aeada39411e16ac9dc0d24bea1c65c46d9c3e2de9bc1b9f"],"state_sha256":"be381fdc851f31ce3e06fb9a66f5558c4d85749b9b32c68fb2e4166a20a43bb8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jypFrkZgTpOSGtgMaMcn6CPIHO9dZlaUBAk6bfIGq1CdCoTbCpHQ8CIZ0cZLhMBKRA4NjQIH6hNptF48+iJ8Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T06:33:07.502246Z","bundle_sha256":"0f474e6efb99251b7116e7291d8ac3a44fd37da17e18ad51831f748f9dab3617"}}