{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:WIP5NYPAROTI4VFPG5444Z53PJ","short_pith_number":"pith:WIP5NYPA","schema_version":"1.0","canonical_sha256":"b21fd6e1e08ba68e54af3779ce67bb7a56703ff33cf1ed6394c2e0ad55cb2c0f","source":{"kind":"arxiv","id":"1608.08743","version":2},"attestation_state":"computed","paper":{"title":"A Large Scale Analysis of Unreliable Stochastic Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Philippe Robert, Reza Aghajani, Wen Sun","submitted_at":"2016-08-31T06:51:08Z","abstract_excerpt":"The problem of reliability of a large distributed system is analyzed via a new mathematical model. A typical framework is a system where a set of files are duplicated on several data servers. When one of these servers breaks down, all copies of files stored on it are lost. In this way, repeated failures may lead to losses of files. The efficiency of such a network is directly related to the performances of the mechanism used to duplicate files on servers. In this paper we study the evolution of the network using a natural duplication policy giving priority to the files with the least number of"},"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":"1608.08743","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-08-31T06:51:08Z","cross_cats_sorted":[],"title_canon_sha256":"ed64804d01279f04258328aa1281e7afc02a83818b931cc4ca1fb73c30a2821a","abstract_canon_sha256":"08afe0c42215e91d4f3c1f404535a3657f730395f14665fceb46c5be227af0f4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:13.322210Z","signature_b64":"flpUefC9diM94O/bFWvzwx0stjVoZ4FQe2gop403XChWF8kYHCCcyYg6lJraq17m2C1gRmk95kZoPPC2ov0XDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b21fd6e1e08ba68e54af3779ce67bb7a56703ff33cf1ed6394c2e0ad55cb2c0f","last_reissued_at":"2026-05-18T00:43:13.321685Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:13.321685Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Large Scale Analysis of Unreliable Stochastic Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Philippe Robert, Reza Aghajani, Wen Sun","submitted_at":"2016-08-31T06:51:08Z","abstract_excerpt":"The problem of reliability of a large distributed system is analyzed via a new mathematical model. A typical framework is a system where a set of files are duplicated on several data servers. When one of these servers breaks down, all copies of files stored on it are lost. In this way, repeated failures may lead to losses of files. The efficiency of such a network is directly related to the performances of the mechanism used to duplicate files on servers. In this paper we study the evolution of the network using a natural duplication policy giving priority to the files with the least number of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.08743","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1608.08743","created_at":"2026-05-18T00:43:13.321768+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.08743v2","created_at":"2026-05-18T00:43:13.321768+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.08743","created_at":"2026-05-18T00:43:13.321768+00:00"},{"alias_kind":"pith_short_12","alias_value":"WIP5NYPAROTI","created_at":"2026-05-18T12:30:48.956258+00:00"},{"alias_kind":"pith_short_16","alias_value":"WIP5NYPAROTI4VFP","created_at":"2026-05-18T12:30:48.956258+00:00"},{"alias_kind":"pith_short_8","alias_value":"WIP5NYPA","created_at":"2026-05-18T12:30:48.956258+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/WIP5NYPAROTI4VFPG5444Z53PJ","json":"https://pith.science/pith/WIP5NYPAROTI4VFPG5444Z53PJ.json","graph_json":"https://pith.science/api/pith-number/WIP5NYPAROTI4VFPG5444Z53PJ/graph.json","events_json":"https://pith.science/api/pith-number/WIP5NYPAROTI4VFPG5444Z53PJ/events.json","paper":"https://pith.science/paper/WIP5NYPA"},"agent_actions":{"view_html":"https://pith.science/pith/WIP5NYPAROTI4VFPG5444Z53PJ","download_json":"https://pith.science/pith/WIP5NYPAROTI4VFPG5444Z53PJ.json","view_paper":"https://pith.science/paper/WIP5NYPA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.08743&json=true","fetch_graph":"https://pith.science/api/pith-number/WIP5NYPAROTI4VFPG5444Z53PJ/graph.json","fetch_events":"https://pith.science/api/pith-number/WIP5NYPAROTI4VFPG5444Z53PJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WIP5NYPAROTI4VFPG5444Z53PJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WIP5NYPAROTI4VFPG5444Z53PJ/action/storage_attestation","attest_author":"https://pith.science/pith/WIP5NYPAROTI4VFPG5444Z53PJ/action/author_attestation","sign_citation":"https://pith.science/pith/WIP5NYPAROTI4VFPG5444Z53PJ/action/citation_signature","submit_replication":"https://pith.science/pith/WIP5NYPAROTI4VFPG5444Z53PJ/action/replication_record"}},"created_at":"2026-05-18T00:43:13.321768+00:00","updated_at":"2026-05-18T00:43:13.321768+00:00"}