{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:AWA5IQREHAJT3T6FFKRDO4FEYZ","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":"1fd242e8a1ce69d11919f690fa037d71c52462a7544aced05fe2a123205969e4","cross_cats_sorted":["cs.DS","cs.NI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2010-11-14T04:05:49Z","title_canon_sha256":"5531641459fcd8027953e4bea011f96fef67432632e11aecbb4470fe52c8d7d5"},"schema_version":"1.0","source":{"id":"1011.3182","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.3182","created_at":"2026-05-18T01:35:21Z"},{"alias_kind":"arxiv_version","alias_value":"1011.3182v2","created_at":"2026-05-18T01:35:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.3182","created_at":"2026-05-18T01:35:21Z"},{"alias_kind":"pith_short_12","alias_value":"AWA5IQREHAJT","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"AWA5IQREHAJT3T6F","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"AWA5IQRE","created_at":"2026-05-18T12:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:a161d9d40c4a1366c94cdd55996ec5471b154d8545c5ad0cb35100803da77360","target":"graph","created_at":"2026-05-18T01:35:21Z","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 present and analyze a simple and general scheme to build a churn (fault)-tolerant structured Peer-to-Peer (P2P) network. Our scheme shows how to \"convert\" a static network into a dynamic distributed hash table(DHT)-based P2P network such that all the good properties of the static network are guaranteed with high probability (w.h.p). Applying our scheme to a cube-connected cycles network, for example, yields a $O(\\log N)$ degree connected network, in which every search succeeds in $O(\\log N)$ hops w.h.p., using $O(\\log N)$ messages, where $N$ is the expected stable network size. Our scheme h","authors_text":"Gopal Pandurangan, Tim Jacobs","cross_cats":["cs.DS","cs.NI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2010-11-14T04:05:49Z","title":"Stochastic Analysis of a Churn-Tolerant Structured Peer-to-Peer Scheme"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.3182","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":"sha256:3f7a73550356571106712e6f5b3d645778cff6deb9e78f970bf642bb33954d35","target":"record","created_at":"2026-05-18T01:35:21Z","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":"1fd242e8a1ce69d11919f690fa037d71c52462a7544aced05fe2a123205969e4","cross_cats_sorted":["cs.DS","cs.NI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2010-11-14T04:05:49Z","title_canon_sha256":"5531641459fcd8027953e4bea011f96fef67432632e11aecbb4470fe52c8d7d5"},"schema_version":"1.0","source":{"id":"1011.3182","kind":"arxiv","version":2}},"canonical_sha256":"0581d4422438133dcfc52aa23770a4c64b4a989d551dee090912799fa258a1ff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0581d4422438133dcfc52aa23770a4c64b4a989d551dee090912799fa258a1ff","first_computed_at":"2026-05-18T01:35:21.001340Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:21.001340Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AdvYZKJitvnovUg2qZmGuCcGBcT3hEJSJemGi064VVuFEcTwWamJPqIViQ398OiT3J8f1nyesfHCdE8dNg9lBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:21.002060Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.3182","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3f7a73550356571106712e6f5b3d645778cff6deb9e78f970bf642bb33954d35","sha256:a161d9d40c4a1366c94cdd55996ec5471b154d8545c5ad0cb35100803da77360"],"state_sha256":"37c0c4c43006a73d074580231112f5aad99a36867ff039498268bee3e4098c6b"}