{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:MAC3SNY7Z5O4RG6KFP4CDBMPRD","short_pith_number":"pith:MAC3SNY7","schema_version":"1.0","canonical_sha256":"6005b9371fcf5dc89bca2bf821858f88fb9537e22eaf0671d880b2775dbf964a","source":{"kind":"arxiv","id":"1706.03992","version":1},"attestation_state":"computed","paper":{"title":"Distributed Detection of Cycles","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.DC","authors_text":"Dennis Olivetti, Pierre Fraigniaud","submitted_at":"2017-06-13T10:41:52Z","abstract_excerpt":"Distributed property testing in networks has been introduced by Brakerski and Patt-Shamir (2011), with the objective of detecting the presence of large dense sub-networks in a distributed manner. Recently, Censor-Hillel et al. (2016) have shown how to detect 3-cycles in a constant number of rounds by a distributed algorithm. In a follow up work, Fraigniaud et al. (2016) have shown how to detect 4-cycles in a constant number of rounds as well. However, the techniques in these latter works were shown not to generalize to larger cycles $C_k$ with $k\\geq 5$. In this paper, we completely settle the"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1706.03992","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.DC","submitted_at":"2017-06-13T10:41:52Z","cross_cats_sorted":[],"title_canon_sha256":"36b5ba98599501d0ffb0d406a6eb6fee195fcfe770724ccdd26bd4d65e90a9bf","abstract_canon_sha256":"b358321d125a2a1d20928496ec45fd0b96cde69e0bb7ea89ca4c547b935a459a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:24.818055Z","signature_b64":"pZlmv0sJLg3jM+2+py8PhyxvNGuEf9kyMmSmHTNMFYor4cG4LQBtm/AApJ8Pqd5WKsg+bSCirRcRvP5TsHhJBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6005b9371fcf5dc89bca2bf821858f88fb9537e22eaf0671d880b2775dbf964a","last_reissued_at":"2026-05-18T00:42:24.817414Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:24.817414Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Distributed Detection of Cycles","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.DC","authors_text":"Dennis Olivetti, Pierre Fraigniaud","submitted_at":"2017-06-13T10:41:52Z","abstract_excerpt":"Distributed property testing in networks has been introduced by Brakerski and Patt-Shamir (2011), with the objective of detecting the presence of large dense sub-networks in a distributed manner. Recently, Censor-Hillel et al. (2016) have shown how to detect 3-cycles in a constant number of rounds by a distributed algorithm. In a follow up work, Fraigniaud et al. (2016) have shown how to detect 4-cycles in a constant number of rounds as well. However, the techniques in these latter works were shown not to generalize to larger cycles $C_k$ with $k\\geq 5$. In this paper, we completely settle the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.03992","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1706.03992","created_at":"2026-05-18T00:42:24.817501+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.03992v1","created_at":"2026-05-18T00:42:24.817501+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.03992","created_at":"2026-05-18T00:42:24.817501+00:00"},{"alias_kind":"pith_short_12","alias_value":"MAC3SNY7Z5O4","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_16","alias_value":"MAC3SNY7Z5O4RG6K","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_8","alias_value":"MAC3SNY7","created_at":"2026-05-18T12:31:31.346846+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MAC3SNY7Z5O4RG6KFP4CDBMPRD","json":"https://pith.science/pith/MAC3SNY7Z5O4RG6KFP4CDBMPRD.json","graph_json":"https://pith.science/api/pith-number/MAC3SNY7Z5O4RG6KFP4CDBMPRD/graph.json","events_json":"https://pith.science/api/pith-number/MAC3SNY7Z5O4RG6KFP4CDBMPRD/events.json","paper":"https://pith.science/paper/MAC3SNY7"},"agent_actions":{"view_html":"https://pith.science/pith/MAC3SNY7Z5O4RG6KFP4CDBMPRD","download_json":"https://pith.science/pith/MAC3SNY7Z5O4RG6KFP4CDBMPRD.json","view_paper":"https://pith.science/paper/MAC3SNY7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.03992&json=true","fetch_graph":"https://pith.science/api/pith-number/MAC3SNY7Z5O4RG6KFP4CDBMPRD/graph.json","fetch_events":"https://pith.science/api/pith-number/MAC3SNY7Z5O4RG6KFP4CDBMPRD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MAC3SNY7Z5O4RG6KFP4CDBMPRD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MAC3SNY7Z5O4RG6KFP4CDBMPRD/action/storage_attestation","attest_author":"https://pith.science/pith/MAC3SNY7Z5O4RG6KFP4CDBMPRD/action/author_attestation","sign_citation":"https://pith.science/pith/MAC3SNY7Z5O4RG6KFP4CDBMPRD/action/citation_signature","submit_replication":"https://pith.science/pith/MAC3SNY7Z5O4RG6KFP4CDBMPRD/action/replication_record"}},"created_at":"2026-05-18T00:42:24.817501+00:00","updated_at":"2026-05-18T00:42:24.817501+00:00"}