{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:OGKC32P5RM4EBXIWBQTILNNDSL","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":"b1490698bf502bcaa86c34e960cdec57212f03018c7640c306036a06aab063af","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2020-03-27T09:17:48Z","title_canon_sha256":"ead3f06a0f99bff4bfcd162353e3ea01bcb2b23f22ba9705f05c091393a75b9b"},"schema_version":"1.0","source":{"id":"2003.12293","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2003.12293","created_at":"2026-07-05T03:06:10Z"},{"alias_kind":"arxiv_version","alias_value":"2003.12293v2","created_at":"2026-07-05T03:06:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.12293","created_at":"2026-07-05T03:06:10Z"},{"alias_kind":"pith_short_12","alias_value":"OGKC32P5RM4E","created_at":"2026-07-05T03:06:10Z"},{"alias_kind":"pith_short_16","alias_value":"OGKC32P5RM4EBXIW","created_at":"2026-07-05T03:06:10Z"},{"alias_kind":"pith_short_8","alias_value":"OGKC32P5","created_at":"2026-07-05T03:06:10Z"}],"graph_snapshots":[{"event_id":"sha256:a3c942019a7eec42dee5d0e6eb65a2cd31b7a1850801570cba3a4325bccb7695","target":"graph","created_at":"2026-07-05T03:06:10Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2003.12293/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper presents a linear prioritized local algorithm that computes large independent sets on a random $d$-regular graph with small and fixed degree $d$. We studied experimentally the independence ratio obtained by the algorithm when $ d \\in [3,100]$. For all $d \\in [5,100]$, our results are larger than lower bounds calculated by exact methods, thus providing improved estimates of lower bounds.","authors_text":"Raffaele Marino, Scott Kirkpatrick","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2020-03-27T09:17:48Z","title":"Large independent sets on random $d$-regular graphs with fixed degree $d$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.12293","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:e59c00cd8d451cfc5272765438ddcfd21565f95ccaa06b3999da2e269907e5c4","target":"record","created_at":"2026-07-05T03:06:10Z","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":"b1490698bf502bcaa86c34e960cdec57212f03018c7640c306036a06aab063af","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2020-03-27T09:17:48Z","title_canon_sha256":"ead3f06a0f99bff4bfcd162353e3ea01bcb2b23f22ba9705f05c091393a75b9b"},"schema_version":"1.0","source":{"id":"2003.12293","kind":"arxiv","version":2}},"canonical_sha256":"71942de9fd8b3840dd160c2685b5a392c40b4a596fe0413c63716a0a044ef5dc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"71942de9fd8b3840dd160c2685b5a392c40b4a596fe0413c63716a0a044ef5dc","first_computed_at":"2026-07-05T03:06:10.560771Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:06:10.560771Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PjpWZjZTgxju0r9PpYFF4zRXlBBi5VQbjwlT6wDVqpA8C4EIrVPGCZg9qAJSnrjsamjyd34Vk75hPSC7J+laAg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:06:10.561141Z","signed_message":"canonical_sha256_bytes"},"source_id":"2003.12293","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e59c00cd8d451cfc5272765438ddcfd21565f95ccaa06b3999da2e269907e5c4","sha256:a3c942019a7eec42dee5d0e6eb65a2cd31b7a1850801570cba3a4325bccb7695"],"state_sha256":"3f5800a00257f9c535417a0a41eb0c97b58f8dba92ba4e83346e5a6457a05d2a"}