{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:FUQ5J4Z6UQI7X7FPH4AMMCE56V","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":"2f07e68cf349af333a6085eb8c8da0a3af141852399c2892815fa1c3806d362c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2010-08-03T09:59:29Z","title_canon_sha256":"19e39cd0a914d24a7a2c34d30e5ca948239088277db782954c3e10c4a4939b41"},"schema_version":"1.0","source":{"id":"1008.0501","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.0501","created_at":"2026-05-18T04:42:42Z"},{"alias_kind":"arxiv_version","alias_value":"1008.0501v1","created_at":"2026-05-18T04:42:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.0501","created_at":"2026-05-18T04:42:42Z"},{"alias_kind":"pith_short_12","alias_value":"FUQ5J4Z6UQI7","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"FUQ5J4Z6UQI7X7FP","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"FUQ5J4Z6","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:0ab6c45aa570c439255946c00f54ee9c3892d12cd3e4bff914150eba16a07b26","target":"graph","created_at":"2026-05-18T04:42:42Z","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 give a time-randomness tradeoff for the quasi-random rumor spreading protocol proposed by Doerr, Friedrich and Sauerwald [SODA 2008] on complete graphs. In this protocol, the goal is to spread a piece of information originating from one vertex throughout the network. Each vertex is assumed to have a (cyclic) list of its neighbors. Once a vertex is informed by one of its neighbors, it chooses a position in its list uniformly at random and then informs its neighbors starting from that position and proceeding in order of the list. Angelopoulos, Doerr, Huber and Panagiotou [Electron.~J.~Combin.","authors_text":"Benjamin Doerr, Mahmoud Fouz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2010-08-03T09:59:29Z","title":"Quasi-Random Rumor Spreading: Reducing Randomness Can Be Costly"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.0501","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":"sha256:07ed7756a49634a79eb6e4ac430c6f6cf7effbbab053242d1b88882a97211ec8","target":"record","created_at":"2026-05-18T04:42:42Z","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":"2f07e68cf349af333a6085eb8c8da0a3af141852399c2892815fa1c3806d362c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2010-08-03T09:59:29Z","title_canon_sha256":"19e39cd0a914d24a7a2c34d30e5ca948239088277db782954c3e10c4a4939b41"},"schema_version":"1.0","source":{"id":"1008.0501","kind":"arxiv","version":1}},"canonical_sha256":"2d21d4f33ea411fbfcaf3f00c6089df57753d2f0fa7176c48d0833cc6e35b794","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d21d4f33ea411fbfcaf3f00c6089df57753d2f0fa7176c48d0833cc6e35b794","first_computed_at":"2026-05-18T04:42:42.879397Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:42:42.879397Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2Xs+jwdxjawZIQzcAllamq40E0M9j1wDiLXxpIYAIGE33PtmaOllGIZ3gw9X7bMvnvTWlwSeaHJ/HjlbYmRtAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:42:42.879875Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.0501","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:07ed7756a49634a79eb6e4ac430c6f6cf7effbbab053242d1b88882a97211ec8","sha256:0ab6c45aa570c439255946c00f54ee9c3892d12cd3e4bff914150eba16a07b26"],"state_sha256":"86b5931c6c07e0464f01df2614d6fd5eedb4f793f2458c217e12b161247ad26c"}