{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:CVGXGGKKJBXETP6FLA4G4O7IRW","short_pith_number":"pith:CVGXGGKK","canonical_record":{"source":{"id":"1806.08865","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2018-06-22T21:41:05Z","cross_cats_sorted":[],"title_canon_sha256":"b42c325fbc59b8ce2f4f591950d75bf28dcf3a93556a98a21c2b04fa07af806e","abstract_canon_sha256":"2c1ed08a3196a5a4faa3d1f91feced6b945c42ce3312851e960be22376a02379"},"schema_version":"1.0"},"canonical_sha256":"154d73194a486e49bfc558386e3be88d81fefba679f72b1ad75466314e51877f","source":{"kind":"arxiv","id":"1806.08865","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.08865","created_at":"2026-05-18T00:00:39Z"},{"alias_kind":"arxiv_version","alias_value":"1806.08865v2","created_at":"2026-05-18T00:00:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.08865","created_at":"2026-05-18T00:00:39Z"},{"alias_kind":"pith_short_12","alias_value":"CVGXGGKKJBXE","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"CVGXGGKKJBXETP6F","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"CVGXGGKK","created_at":"2026-05-18T12:32:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:CVGXGGKKJBXETP6FLA4G4O7IRW","target":"record","payload":{"canonical_record":{"source":{"id":"1806.08865","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2018-06-22T21:41:05Z","cross_cats_sorted":[],"title_canon_sha256":"b42c325fbc59b8ce2f4f591950d75bf28dcf3a93556a98a21c2b04fa07af806e","abstract_canon_sha256":"2c1ed08a3196a5a4faa3d1f91feced6b945c42ce3312851e960be22376a02379"},"schema_version":"1.0"},"canonical_sha256":"154d73194a486e49bfc558386e3be88d81fefba679f72b1ad75466314e51877f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:39.485043Z","signature_b64":"mrjJa4U07cX2meU19zEQvydinzdvfWncENPIebo/L49ccEwK2Fl8H3yw9jv4t5j2xue8ZbKx00ugn3iSEBCgAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"154d73194a486e49bfc558386e3be88d81fefba679f72b1ad75466314e51877f","last_reissued_at":"2026-05-18T00:00:39.484412Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:39.484412Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.08865","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:00:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6Ru9b1sv1ODSk6OVZZVbRJHzir3JEgn9JuzarTSFQl5AbuG72q8mpGSQmyFISVLms/goS90HffyWqTc/DUlvCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T20:55:44.618873Z"},"content_sha256":"51fbb7e97705e5ed7b0edaf4bdc76782818b2a98298f1f69ee856237b076e02b","schema_version":"1.0","event_id":"sha256:51fbb7e97705e5ed7b0edaf4bdc76782818b2a98298f1f69ee856237b076e02b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:CVGXGGKKJBXETP6FLA4G4O7IRW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Nearly-Linear Bound for Chasing Nested Convex Bodies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.DS","authors_text":"Anupam Gupta, C.J. Argue, Michael B. Cohen, S\\'ebastien Bubeck, Yin Tat Lee","submitted_at":"2018-06-22T21:41:05Z","abstract_excerpt":"Friedman and Linial introduced the convex body chasing problem to explore the interplay between geometry and competitive ratio in metrical task systems. In convex body chasing, at each time step $t \\in \\mathbb{N}$, the online algorithm receives a request in the form of a convex body $K_t \\subseteq \\mathbb{R}^d$ and must output a point $x_t \\in K_t$. The goal is to minimize the total movement between consecutive output points, where the distance is measured in some given norm.\n  This problem is still far from being understood, and recently Bansal et al. gave an algorithm for the nested version,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.08865","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:00:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dq1uRP74PVJNhSyfYdR9kktZAY6m49nAQYTCYmNyCOKcLOTji1HHd5Vzsl1ClxtNhb+JERiLGB0o/cAT/UyVDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T20:55:44.619493Z"},"content_sha256":"a66b9de7e982922edb5a0ce17389c074240939ea5adbf1c60091aace790e55fe","schema_version":"1.0","event_id":"sha256:a66b9de7e982922edb5a0ce17389c074240939ea5adbf1c60091aace790e55fe"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CVGXGGKKJBXETP6FLA4G4O7IRW/bundle.json","state_url":"https://pith.science/pith/CVGXGGKKJBXETP6FLA4G4O7IRW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CVGXGGKKJBXETP6FLA4G4O7IRW/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-27T20:55:44Z","links":{"resolver":"https://pith.science/pith/CVGXGGKKJBXETP6FLA4G4O7IRW","bundle":"https://pith.science/pith/CVGXGGKKJBXETP6FLA4G4O7IRW/bundle.json","state":"https://pith.science/pith/CVGXGGKKJBXETP6FLA4G4O7IRW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CVGXGGKKJBXETP6FLA4G4O7IRW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:CVGXGGKKJBXETP6FLA4G4O7IRW","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":"2c1ed08a3196a5a4faa3d1f91feced6b945c42ce3312851e960be22376a02379","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2018-06-22T21:41:05Z","title_canon_sha256":"b42c325fbc59b8ce2f4f591950d75bf28dcf3a93556a98a21c2b04fa07af806e"},"schema_version":"1.0","source":{"id":"1806.08865","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.08865","created_at":"2026-05-18T00:00:39Z"},{"alias_kind":"arxiv_version","alias_value":"1806.08865v2","created_at":"2026-05-18T00:00:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.08865","created_at":"2026-05-18T00:00:39Z"},{"alias_kind":"pith_short_12","alias_value":"CVGXGGKKJBXE","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"CVGXGGKKJBXETP6F","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"CVGXGGKK","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:a66b9de7e982922edb5a0ce17389c074240939ea5adbf1c60091aace790e55fe","target":"graph","created_at":"2026-05-18T00:00:39Z","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":"Friedman and Linial introduced the convex body chasing problem to explore the interplay between geometry and competitive ratio in metrical task systems. In convex body chasing, at each time step $t \\in \\mathbb{N}$, the online algorithm receives a request in the form of a convex body $K_t \\subseteq \\mathbb{R}^d$ and must output a point $x_t \\in K_t$. The goal is to minimize the total movement between consecutive output points, where the distance is measured in some given norm.\n  This problem is still far from being understood, and recently Bansal et al. gave an algorithm for the nested version,","authors_text":"Anupam Gupta, C.J. Argue, Michael B. Cohen, S\\'ebastien Bubeck, Yin Tat Lee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2018-06-22T21:41:05Z","title":"A Nearly-Linear Bound for Chasing Nested Convex Bodies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.08865","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":"sha256:51fbb7e97705e5ed7b0edaf4bdc76782818b2a98298f1f69ee856237b076e02b","target":"record","created_at":"2026-05-18T00:00:39Z","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":"2c1ed08a3196a5a4faa3d1f91feced6b945c42ce3312851e960be22376a02379","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2018-06-22T21:41:05Z","title_canon_sha256":"b42c325fbc59b8ce2f4f591950d75bf28dcf3a93556a98a21c2b04fa07af806e"},"schema_version":"1.0","source":{"id":"1806.08865","kind":"arxiv","version":2}},"canonical_sha256":"154d73194a486e49bfc558386e3be88d81fefba679f72b1ad75466314e51877f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"154d73194a486e49bfc558386e3be88d81fefba679f72b1ad75466314e51877f","first_computed_at":"2026-05-18T00:00:39.484412Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:39.484412Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mrjJa4U07cX2meU19zEQvydinzdvfWncENPIebo/L49ccEwK2Fl8H3yw9jv4t5j2xue8ZbKx00ugn3iSEBCgAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:39.485043Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.08865","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51fbb7e97705e5ed7b0edaf4bdc76782818b2a98298f1f69ee856237b076e02b","sha256:a66b9de7e982922edb5a0ce17389c074240939ea5adbf1c60091aace790e55fe"],"state_sha256":"dfeff57d446e2b5ccca5e10452e142e6e150c4582d8ff99ac30324526dbce0c9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RyP6C6bX30i7pJUVOMwHCic9pAmCNE6BbYRMPS2ctStzc98pTDsyfajWULCrbIjl0Oa69gbl4u1i/y+yJjV7BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T20:55:44.622863Z","bundle_sha256":"404fe4f05ea309eb5720207811daac05999279845c089c289b72434191c9cb9f"}}