{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:4YNF3U7EBGXEGBCAWKPBQ7B5W6","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":"6e6fa35da8ada59ae9f17282726eaa7dea373d845e2466d65d1d55f74a09231b","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2015-02-20T11:07:52Z","title_canon_sha256":"df4f9f9383d5873c8aa8a649befb36a1fe0c7d7edb53e0585b2963238f5545b9"},"schema_version":"1.0","source":{"id":"1502.05828","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.05828","created_at":"2026-05-18T02:26:44Z"},{"alias_kind":"arxiv_version","alias_value":"1502.05828v1","created_at":"2026-05-18T02:26:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.05828","created_at":"2026-05-18T02:26:44Z"},{"alias_kind":"pith_short_12","alias_value":"4YNF3U7EBGXE","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"4YNF3U7EBGXEGBCA","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"4YNF3U7E","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:67287e543d3500533789336c336b71fb18e7ee84d224a4da6973cd01e9bf27b1","target":"graph","created_at":"2026-05-18T02:26:44Z","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 this paper we focus on problems which do not admit a constant-factor approximation in polynomial time and explore how quickly their approximability improves as the allowed running time is gradually increased from polynomial to (sub-)exponential.\n  We tackle a number of problems: For Min Independent Dominating Set, Max Induced Path, Forest and Tree, for any $r(n)$, a simple, known scheme gives an approximation ratio of $r$ in time roughly $r^{n/r}$. We show that, for most values of $r$, if this running time could be significantly improved the ETH would fail. For Max Minimal Vertex Cover we g","authors_text":"\\'Edouard Bonnet, Michael Lampis, Vangelis Th. Paschos","cross_cats":["cs.CC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2015-02-20T11:07:52Z","title":"Time-Approximation Trade-offs for Inapproximable Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.05828","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":"sha256:64bec50a6033b2c7d6cfea7d43732c4fb0219b37c200478f68cc48b2716e473e","target":"record","created_at":"2026-05-18T02:26:44Z","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":"6e6fa35da8ada59ae9f17282726eaa7dea373d845e2466d65d1d55f74a09231b","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2015-02-20T11:07:52Z","title_canon_sha256":"df4f9f9383d5873c8aa8a649befb36a1fe0c7d7edb53e0585b2963238f5545b9"},"schema_version":"1.0","source":{"id":"1502.05828","kind":"arxiv","version":1}},"canonical_sha256":"e61a5dd3e409ae430440b29e187c3db7a3b412a9a87d56089375817aa6a2ca8c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e61a5dd3e409ae430440b29e187c3db7a3b412a9a87d56089375817aa6a2ca8c","first_computed_at":"2026-05-18T02:26:44.681082Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:44.681082Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IV4n2ba4UxIFzzdjJrZeAlo/2cbhUovGdHay91VdlVlIczKgT8I2/vDO7wSesDOinofs79Mii3FhdBbkmQm6Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:44.681639Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.05828","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:64bec50a6033b2c7d6cfea7d43732c4fb0219b37c200478f68cc48b2716e473e","sha256:67287e543d3500533789336c336b71fb18e7ee84d224a4da6973cd01e9bf27b1"],"state_sha256":"8f0008e15cba9334373f0f22bfb9ec380106c345d4085b8b67f7f2fec2dbedf0"}