{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:SZZHHO4TK4KKMRWPMJJPZUSP5P","short_pith_number":"pith:SZZHHO4T","canonical_record":{"source":{"id":"1707.05527","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-07-18T08:56:28Z","cross_cats_sorted":[],"title_canon_sha256":"b8da7b77d67dc44a9db02d4aa33a15a67d7019602015eb8e115897a42d7bed80","abstract_canon_sha256":"a2fcf77c0357eac8f9af93c6a99424c76792d812d8f39ce02905faa003fa10bf"},"schema_version":"1.0"},"canonical_sha256":"967273bb935714a646cf6252fcd24febfcee34a5d00a67c5a38ef131cd62340a","source":{"kind":"arxiv","id":"1707.05527","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.05527","created_at":"2026-05-18T00:40:02Z"},{"alias_kind":"arxiv_version","alias_value":"1707.05527v1","created_at":"2026-05-18T00:40:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.05527","created_at":"2026-05-18T00:40:02Z"},{"alias_kind":"pith_short_12","alias_value":"SZZHHO4TK4KK","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SZZHHO4TK4KKMRWP","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SZZHHO4T","created_at":"2026-05-18T12:31:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:SZZHHO4TK4KKMRWPMJJPZUSP5P","target":"record","payload":{"canonical_record":{"source":{"id":"1707.05527","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-07-18T08:56:28Z","cross_cats_sorted":[],"title_canon_sha256":"b8da7b77d67dc44a9db02d4aa33a15a67d7019602015eb8e115897a42d7bed80","abstract_canon_sha256":"a2fcf77c0357eac8f9af93c6a99424c76792d812d8f39ce02905faa003fa10bf"},"schema_version":"1.0"},"canonical_sha256":"967273bb935714a646cf6252fcd24febfcee34a5d00a67c5a38ef131cd62340a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:02.094942Z","signature_b64":"yI+doOIFieZ6GuLf5atGF8y4hqUu2oOTPBeDhWSiROuLyuucKy1StY/h1ZCpSh7zbhwcYpxi2FNCGe5fqVG2AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"967273bb935714a646cf6252fcd24febfcee34a5d00a67c5a38ef131cd62340a","last_reissued_at":"2026-05-18T00:40:02.094475Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:02.094475Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.05527","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:40:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+wqoKdaw2xkFQ1WL2xC4uqWyu0HaIz0bXU7bA+U8X/1ESNeJV3gB8DydXSNbip7CJkZIp9mtzBEJgvbSd6zLCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T01:21:01.407888Z"},"content_sha256":"f3a70f851717c1a6e3ee5ff958ecfdd8277a46a95d342147ce531d69fb19fcd0","schema_version":"1.0","event_id":"sha256:f3a70f851717c1a6e3ee5ff958ecfdd8277a46a95d342147ce531d69fb19fcd0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:SZZHHO4TK4KKMRWPMJJPZUSP5P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nested Convex Bodies are Chaseable","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.DS","authors_text":"Grigorios Koumoutsos, Marek Eli\\'a\\v{s}, Martin B\\\"ohm, Nikhil Bansal, Seeun William Umboh","submitted_at":"2017-07-18T08:56:28Z","abstract_excerpt":"In the Convex Body Chasing problem, we are given an initial point $v_0$ in $R^d$ and an online sequence of $n$ convex bodies $F_1, ..., F_n$. When we receive $F_i$, we are required to move inside $F_i$. Our goal is to minimize the total distance travelled. This fundamental online problem was first studied by Friedman and Linial (DCG 1993). They proved an $\\Omega(\\sqrt{d})$ lower bound on the competitive ratio, and conjectured that a competitive ratio depending only on d is possible. However, despite much interest in the problem, the conjecture remains wide open.\n  We consider the setting in wh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.05527","kind":"arxiv","version":1},"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":"2026-05-18T00:40:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"phuP9WK/WHgf5kQffgotjE1/RYUfv40OX2lDIRnlRk8pXLLxq0nyAw0zpU0pOIvPoNMMB+hYnsSCEnSVjNXbDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T01:21:01.408424Z"},"content_sha256":"1e205ef857df03ecea8765e5dceb6c136dba483b89df2c7be61b91236076b8e3","schema_version":"1.0","event_id":"sha256:1e205ef857df03ecea8765e5dceb6c136dba483b89df2c7be61b91236076b8e3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SZZHHO4TK4KKMRWPMJJPZUSP5P/bundle.json","state_url":"https://pith.science/pith/SZZHHO4TK4KKMRWPMJJPZUSP5P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SZZHHO4TK4KKMRWPMJJPZUSP5P/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":"2026-05-31T01:21:01Z","links":{"resolver":"https://pith.science/pith/SZZHHO4TK4KKMRWPMJJPZUSP5P","bundle":"https://pith.science/pith/SZZHHO4TK4KKMRWPMJJPZUSP5P/bundle.json","state":"https://pith.science/pith/SZZHHO4TK4KKMRWPMJJPZUSP5P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SZZHHO4TK4KKMRWPMJJPZUSP5P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SZZHHO4TK4KKMRWPMJJPZUSP5P","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":"a2fcf77c0357eac8f9af93c6a99424c76792d812d8f39ce02905faa003fa10bf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-07-18T08:56:28Z","title_canon_sha256":"b8da7b77d67dc44a9db02d4aa33a15a67d7019602015eb8e115897a42d7bed80"},"schema_version":"1.0","source":{"id":"1707.05527","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.05527","created_at":"2026-05-18T00:40:02Z"},{"alias_kind":"arxiv_version","alias_value":"1707.05527v1","created_at":"2026-05-18T00:40:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.05527","created_at":"2026-05-18T00:40:02Z"},{"alias_kind":"pith_short_12","alias_value":"SZZHHO4TK4KK","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SZZHHO4TK4KKMRWP","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SZZHHO4T","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:1e205ef857df03ecea8765e5dceb6c136dba483b89df2c7be61b91236076b8e3","target":"graph","created_at":"2026-05-18T00:40:02Z","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":"In the Convex Body Chasing problem, we are given an initial point $v_0$ in $R^d$ and an online sequence of $n$ convex bodies $F_1, ..., F_n$. When we receive $F_i$, we are required to move inside $F_i$. Our goal is to minimize the total distance travelled. This fundamental online problem was first studied by Friedman and Linial (DCG 1993). They proved an $\\Omega(\\sqrt{d})$ lower bound on the competitive ratio, and conjectured that a competitive ratio depending only on d is possible. However, despite much interest in the problem, the conjecture remains wide open.\n  We consider the setting in wh","authors_text":"Grigorios Koumoutsos, Marek Eli\\'a\\v{s}, Martin B\\\"ohm, Nikhil Bansal, Seeun William Umboh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-07-18T08:56:28Z","title":"Nested Convex Bodies are Chaseable"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.05527","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:f3a70f851717c1a6e3ee5ff958ecfdd8277a46a95d342147ce531d69fb19fcd0","target":"record","created_at":"2026-05-18T00:40:02Z","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":"a2fcf77c0357eac8f9af93c6a99424c76792d812d8f39ce02905faa003fa10bf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-07-18T08:56:28Z","title_canon_sha256":"b8da7b77d67dc44a9db02d4aa33a15a67d7019602015eb8e115897a42d7bed80"},"schema_version":"1.0","source":{"id":"1707.05527","kind":"arxiv","version":1}},"canonical_sha256":"967273bb935714a646cf6252fcd24febfcee34a5d00a67c5a38ef131cd62340a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"967273bb935714a646cf6252fcd24febfcee34a5d00a67c5a38ef131cd62340a","first_computed_at":"2026-05-18T00:40:02.094475Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:02.094475Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yI+doOIFieZ6GuLf5atGF8y4hqUu2oOTPBeDhWSiROuLyuucKy1StY/h1ZCpSh7zbhwcYpxi2FNCGe5fqVG2AA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:02.094942Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.05527","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3a70f851717c1a6e3ee5ff958ecfdd8277a46a95d342147ce531d69fb19fcd0","sha256:1e205ef857df03ecea8765e5dceb6c136dba483b89df2c7be61b91236076b8e3"],"state_sha256":"d31e984800be71f92a1f571d42a1f4a13537da2beebe7457987944466324876a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8Jk3e4pq+6UGSJ/DI53YHv7DrpsywRr5zZTo+9ouPeZ36IDvduNwuvVk9B8QCcIIb9xRx6PMVDr9iwM5TaVEAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T01:21:01.411808Z","bundle_sha256":"f41e40f20a8351a6753eb4192a667eabd196ea374442b4f0650a957aae536c0d"}}