{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:UTA4TZKMOYZIERTG2LDXI4JI75","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":"99e36710c60dfdff098c9cde4f52f80956e2504447e7599dd38d057b54917153","cross_cats_sorted":["cs.DM","math.CO","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-08-10T14:13:45Z","title_canon_sha256":"ea0ad3b67d83cdd74b556fd767c22d5126d1818194e597026706fe6b02bea74b"},"schema_version":"1.0","source":{"id":"1708.03228","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.03228","created_at":"2026-05-18T00:38:14Z"},{"alias_kind":"arxiv_version","alias_value":"1708.03228v1","created_at":"2026-05-18T00:38:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.03228","created_at":"2026-05-18T00:38:14Z"},{"alias_kind":"pith_short_12","alias_value":"UTA4TZKMOYZI","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"UTA4TZKMOYZIERTG","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"UTA4TZKM","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:364342adcd6168e9162dc3a1c5e7a1eae18ea4321186865170cdf86df88142e2","target":"graph","created_at":"2026-05-18T00:38:14Z","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 consider several previously studied online variants of bin packing and prove new and improved lower bounds on the asymptotic competitive ratios for them. For that, we use a method of fully adaptive constructions. In particular, we improve the lower bound for the asymptotic competitive ratio of online square packing significantly, raising it from roughly 1.68 to above 1.75.","authors_text":"Asaf Levin, Gy\\\"orgy D\\'osa, J\\'anos Balogh, J\\'ozsef B\\'ek\\'esi, Leah Epstein","cross_cats":["cs.DM","math.CO","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-08-10T14:13:45Z","title":"Lower bounds for several online variants of bin packing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03228","kind":"arxiv","version":1},"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:d9aeb55fcc913628b7272e89ae00a3c10eb79bf6945a8e4137db680229d01d8a","target":"record","created_at":"2026-05-18T00:38:14Z","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":"99e36710c60dfdff098c9cde4f52f80956e2504447e7599dd38d057b54917153","cross_cats_sorted":["cs.DM","math.CO","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-08-10T14:13:45Z","title_canon_sha256":"ea0ad3b67d83cdd74b556fd767c22d5126d1818194e597026706fe6b02bea74b"},"schema_version":"1.0","source":{"id":"1708.03228","kind":"arxiv","version":1}},"canonical_sha256":"a4c1c9e54c7632824666d2c7747128ff7a9d0e2c72967e5fe6db7cd86affc350","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a4c1c9e54c7632824666d2c7747128ff7a9d0e2c72967e5fe6db7cd86affc350","first_computed_at":"2026-05-18T00:38:14.417218Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:14.417218Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XC2bIboPO9eSz+VkSKssvtbma6iZa+pRIMQr9uulSv5CI1hbCS5E4XIvdQfB6vrQU6TBNCNEQJ2Xb+qeYtyKBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:14.417895Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.03228","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d9aeb55fcc913628b7272e89ae00a3c10eb79bf6945a8e4137db680229d01d8a","sha256:364342adcd6168e9162dc3a1c5e7a1eae18ea4321186865170cdf86df88142e2"],"state_sha256":"2d3c241afa46b41e0f92b236f8f81cd0c31628f5ecdef65fa70bfc47258ad723"}