{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:MZV333JHUVHLJR36QEW5NYDS2D","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":"9f705791951f53812608ff79f570588b1103db29d4106f2ff251611e7508f077","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2013-11-29T15:02:30Z","title_canon_sha256":"4958d179ec6dfc2130f9a530e45bc4f713adc9f72ec553b7ffc442af5d4fb46f"},"schema_version":"1.0","source":{"id":"1311.7589","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.7589","created_at":"2026-05-18T01:35:52Z"},{"alias_kind":"arxiv_version","alias_value":"1311.7589v2","created_at":"2026-05-18T01:35:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.7589","created_at":"2026-05-18T01:35:52Z"},{"alias_kind":"pith_short_12","alias_value":"MZV333JHUVHL","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MZV333JHUVHLJR36","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MZV333JH","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:5f2c8af4685b8834efa389a81f7641c6ff2a177311642f845331f8f7b62f414e","target":"graph","created_at":"2026-05-18T01:35:52Z","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 the setting of online computation with advice, and study the bin packing problem and a number of scheduling problems. We show that it is possible, for any of these problems, to arbitrarily approach a competitive ratio of $1$ with only a constant number of bits of advice per request. For the bin packing problem, we give an online algorithm with advice that is $(1+\\varepsilon)$-competitive and uses $O\\left(\\frac{1}{\\varepsilon}\\log \\frac{1}{\\varepsilon} \\right)$ bits of advice per request. For scheduling on $m$ identical machines, with the objective function of any of makespan, machi","authors_text":"Adi Ros\\'en, Marc P. Renault, Rob van Stee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2013-11-29T15:02:30Z","title":"Online Algorithms with Advice for Bin Packing and Scheduling Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.7589","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":"sha256:5b97d51421a31a3a6a475d88fbfbc3325aec33e2c19e4b4229ec8e15b8cd5b63","target":"record","created_at":"2026-05-18T01:35:52Z","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":"9f705791951f53812608ff79f570588b1103db29d4106f2ff251611e7508f077","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2013-11-29T15:02:30Z","title_canon_sha256":"4958d179ec6dfc2130f9a530e45bc4f713adc9f72ec553b7ffc442af5d4fb46f"},"schema_version":"1.0","source":{"id":"1311.7589","kind":"arxiv","version":2}},"canonical_sha256":"666bbded27a54eb4c77e812dd6e072d0d18405ea0f506fb9ca7f7b4c6b8a67cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"666bbded27a54eb4c77e812dd6e072d0d18405ea0f506fb9ca7f7b4c6b8a67cd","first_computed_at":"2026-05-18T01:35:52.348575Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:52.348575Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PFAfLEY2kTE1PRANnul/g7Rnr02fnGEPBlSs2qoMYX6NJmTNsTu+Nc9hUAaNoYqT5R9jp9AEig+LerJ6eRulAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:52.349280Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.7589","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b97d51421a31a3a6a475d88fbfbc3325aec33e2c19e4b4229ec8e15b8cd5b63","sha256:5f2c8af4685b8834efa389a81f7641c6ff2a177311642f845331f8f7b62f414e"],"state_sha256":"0bb4721557513323ad6fe72f2ae23d76ea631939da23547e09a835828d06bdd8"}