{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:3EI533D32HNCD752ZHY4GIYR5A","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":"da3c94110b814e6beaa41b6480775f12ec601e917487ab941cf35f0ebda83e81","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2010-12-08T20:55:06Z","title_canon_sha256":"384796d695bf7046a38dd6c30710893536d40aa6f21bcc74e6c52c229230921b"},"schema_version":"1.0","source":{"id":"1012.1850","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.1850","created_at":"2026-05-18T04:33:51Z"},{"alias_kind":"arxiv_version","alias_value":"1012.1850v1","created_at":"2026-05-18T04:33:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.1850","created_at":"2026-05-18T04:33:51Z"},{"alias_kind":"pith_short_12","alias_value":"3EI533D32HNC","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"3EI533D32HNCD752","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"3EI533D3","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:b5a6bd5c00b216e8854e6c28fadbc54cba4417f5b74ed5552b1fb9fbb93a3c0e","target":"graph","created_at":"2026-05-18T04:33:51Z","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":"The capacitated vehicle routing problem (CVRP) involves distributing (identical) items from a depot to a set of demand locations, using a single capacitated vehicle. We study a generalization of this problem to the setting of multiple vehicles having non-uniform speeds (that we call Heterogenous CVRP), and present a constant-factor approximation algorithm.\n  The technical heart of our result lies in achieving a constant approximation to the following TSP variant (called Heterogenous TSP). Given a metric denoting distances between vertices, a depot r containing k vehicles with possibly differen","authors_text":"Inge Li Gortz, Marco Molinaro, R. Ravi, Viswanath Nagarajan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2010-12-08T20:55:06Z","title":"Capacitated Vehicle Routing with Non-Uniform Speeds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.1850","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":"sha256:9edd86c0aaf17e40149300ee8bfde973b6e5695e3dd206961dadd3136634e194","target":"record","created_at":"2026-05-18T04:33:51Z","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":"da3c94110b814e6beaa41b6480775f12ec601e917487ab941cf35f0ebda83e81","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2010-12-08T20:55:06Z","title_canon_sha256":"384796d695bf7046a38dd6c30710893536d40aa6f21bcc74e6c52c229230921b"},"schema_version":"1.0","source":{"id":"1012.1850","kind":"arxiv","version":1}},"canonical_sha256":"d911ddec7bd1da21ffbac9f1c32311e8270d652bc1cd83299caebc4c6c821578","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d911ddec7bd1da21ffbac9f1c32311e8270d652bc1cd83299caebc4c6c821578","first_computed_at":"2026-05-18T04:33:51.159138Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:33:51.159138Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lwrlYtKolr5bft5smQ129cmE+iAqG81tC2jPwMJN1915xKZ7UZI7NBIvDgBGy3KdpGI0CE+mT0nEqAEccvBSAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:33:51.159700Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.1850","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9edd86c0aaf17e40149300ee8bfde973b6e5695e3dd206961dadd3136634e194","sha256:b5a6bd5c00b216e8854e6c28fadbc54cba4417f5b74ed5552b1fb9fbb93a3c0e"],"state_sha256":"a080875a1d6d434377ac45b0e6d8e15613bf4060c726fa8ad3fb8b8cdc1157d6"}