{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:7RSLF5OYF34YE24O4NVI2TUSMV","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":"372eb0eb8437048fe97e974a7fd712eaed66e3a29f2b2b63c568688e1f1697be","cross_cats_sorted":["cs.DM","math.CO","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-07-06T10:55:12Z","title_canon_sha256":"4bad84d6c56aab34b8582f963f9f0676c3c7717bc6addfb412c089a5320018db"},"schema_version":"1.0","source":{"id":"1707.01728","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.01728","created_at":"2026-05-18T00:40:47Z"},{"alias_kind":"arxiv_version","alias_value":"1707.01728v1","created_at":"2026-05-18T00:40:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.01728","created_at":"2026-05-18T00:40:47Z"},{"alias_kind":"pith_short_12","alias_value":"7RSLF5OYF34Y","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7RSLF5OYF34YE24O","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7RSLF5OY","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:ff622dcbe4367e0e13bc5b40f6a0acece800abb05a4cfbbb6d0d9f8cba79f60b","target":"graph","created_at":"2026-05-18T00:40:47Z","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 revisit the classic online bin packing problem. In this problem, items of positive sizes no larger than 1 are presented one by one to be packed into subsets called \"bins\" of total sizes no larger than 1, such that every item is assigned to a bin before the next item is presented. We use online partitioning of items into classes based on sizes, as in previous work, but we also apply a new method where items of one class can be packed into more than two types of bins, where a bin type is defined according to the number of such items grouped together. Additionally, we allow the smallest class ","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":"2017-07-06T10:55:12Z","title":"A new and improved algorithm for online bin packing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.01728","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:ed2711531aebd45795b37fade2bab4fb891d45df8a384f09dea7548872d66203","target":"record","created_at":"2026-05-18T00:40:47Z","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":"372eb0eb8437048fe97e974a7fd712eaed66e3a29f2b2b63c568688e1f1697be","cross_cats_sorted":["cs.DM","math.CO","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-07-06T10:55:12Z","title_canon_sha256":"4bad84d6c56aab34b8582f963f9f0676c3c7717bc6addfb412c089a5320018db"},"schema_version":"1.0","source":{"id":"1707.01728","kind":"arxiv","version":1}},"canonical_sha256":"fc64b2f5d82ef9826b8ee36a8d4e926540b981469edc70d41c4bdd18c91842bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc64b2f5d82ef9826b8ee36a8d4e926540b981469edc70d41c4bdd18c91842bc","first_computed_at":"2026-05-18T00:40:47.667561Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:47.667561Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6qJ+W8lHSLfe18Nhz16/zZgy60Cnami6p6TEEkuhpHsL4m5xkvkaEXzQ9R43W8rcoc+eklHymOoi4e4oqeYvBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:47.668137Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.01728","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed2711531aebd45795b37fade2bab4fb891d45df8a384f09dea7548872d66203","sha256:ff622dcbe4367e0e13bc5b40f6a0acece800abb05a4cfbbb6d0d9f8cba79f60b"],"state_sha256":"b888435def2ec410b4391c4550ac706f40f9b14db091ecf2fe85c502d729f689"}