{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:DB6WOLOR2J3LG67GTM3YJ5ZC6O","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":"e120b30c7be3cf8b0ea845473bce394a9830eb47543d4278a891867af20f19fc","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2018-07-17T23:06:22Z","title_canon_sha256":"c486f543a5fe71fa4672a172ff97af69386b6fea18e9c3258569fb85911904ad"},"schema_version":"1.0","source":{"id":"1807.06701","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.06701","created_at":"2026-05-17T23:47:03Z"},{"alias_kind":"arxiv_version","alias_value":"1807.06701v3","created_at":"2026-05-17T23:47:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.06701","created_at":"2026-05-17T23:47:03Z"},{"alias_kind":"pith_short_12","alias_value":"DB6WOLOR2J3L","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DB6WOLOR2J3LG67G","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DB6WOLOR","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:78b3f4493ad5ec38bcace1996bda97c7970619af80ca4682d02e70ab35e57207","target":"graph","created_at":"2026-05-17T23:47:03Z","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":"The success of modern parallel paradigms such as MapReduce, Hadoop, or Spark, has attracted a significant attention to the Massively Parallel Computation (MPC) model over the past few years, especially on graph problems. In this work, we consider symmetry breaking problems of maximal independent set (MIS) and maximal matching (MM), which are among the most intensively studied problems in distributed/parallel computing, in MPC.\n  These problems are known to admit efficient MPC algorithms if the space per machine is near-linear in $n$, the number of vertices in the graph. This space requirement ","authors_text":"Mahsa Derakhshan, MohammadTaghi Hajiaghayi, Richard M. Karp, Soheil Behnezhad","cross_cats":["cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2018-07-17T23:06:22Z","title":"Massively Parallel Symmetry Breaking on Sparse Graphs: MIS and Maximal Matching"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.06701","kind":"arxiv","version":3},"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:aa3ce4a92d825bfa0dbe164642f842105329b092b4d62dd868d8b16eb05ebd27","target":"record","created_at":"2026-05-17T23:47:03Z","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":"e120b30c7be3cf8b0ea845473bce394a9830eb47543d4278a891867af20f19fc","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2018-07-17T23:06:22Z","title_canon_sha256":"c486f543a5fe71fa4672a172ff97af69386b6fea18e9c3258569fb85911904ad"},"schema_version":"1.0","source":{"id":"1807.06701","kind":"arxiv","version":3}},"canonical_sha256":"187d672dd1d276b37be69b3784f722f386624f00765bcb07937582e710178759","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"187d672dd1d276b37be69b3784f722f386624f00765bcb07937582e710178759","first_computed_at":"2026-05-17T23:47:03.075567Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:03.075567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gQW5PZZV1VA+V75fu+v35nzfucpPFLjWyH/DFVf8Rds1sjAQZMFNVkeC6czj7uWh/qXUhc3Bok1oldsk5hnmDA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:03.076238Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.06701","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa3ce4a92d825bfa0dbe164642f842105329b092b4d62dd868d8b16eb05ebd27","sha256:78b3f4493ad5ec38bcace1996bda97c7970619af80ca4682d02e70ab35e57207"],"state_sha256":"8c11c8be0b1a4e87d75d97b67a855cd98dc3e5f33588052ccfb28497719b569c"}