{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ITHC3KMIY2CESJFLW5CJEKISG6","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":"d69e0a7d6da6decb83d78d32058d67173dd89c51fe753327432bf7d12501236c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-04-14T02:24:56Z","title_canon_sha256":"4e323e5e16e700beae44a206afff9026c9aecdc11e0a59337c7de56f3831027f"},"schema_version":"1.0","source":{"id":"1704.04332","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.04332","created_at":"2026-05-18T00:41:33Z"},{"alias_kind":"arxiv_version","alias_value":"1704.04332v2","created_at":"2026-05-18T00:41:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.04332","created_at":"2026-05-18T00:41:33Z"},{"alias_kind":"pith_short_12","alias_value":"ITHC3KMIY2CE","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"ITHC3KMIY2CESJFL","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"ITHC3KMI","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:430967e018f92837f414066592c18c547febcb6c7d21593e0ac9d24d2c2f8b8e","target":"graph","created_at":"2026-05-18T00:41:33Z","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":"An important application of wireless sensor networks is the deployment of mobile sensors to periodically monitor (cover) a set of points of interest (PoIs). The problem of Point Sweep Coverage is to deploy fewest sensors to periodically cover the set of PoIs. For PoIs in a Eulerian graph, this problem is known NP-Hard even if all sensors are with uniform velocity. In this paper, we study the problem when PoIs are on a line and prove that the decision version of the problem is NP-Complete if the sensors are with different velocities. We first formulate the problem of Max-PoI sweep coverage on p","authors_text":"Dieyan Liang, Hong Shen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-04-14T02:24:56Z","title":"Point Sweep Coverage on Path"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.04332","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":"sha256:037cef6f50b108ff23fa24a32c8843a3eb8057b5fb33c719fb789d05ebee8798","target":"record","created_at":"2026-05-18T00:41:33Z","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":"d69e0a7d6da6decb83d78d32058d67173dd89c51fe753327432bf7d12501236c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-04-14T02:24:56Z","title_canon_sha256":"4e323e5e16e700beae44a206afff9026c9aecdc11e0a59337c7de56f3831027f"},"schema_version":"1.0","source":{"id":"1704.04332","kind":"arxiv","version":2}},"canonical_sha256":"44ce2da988c6844924abb74492291237a50fa8db5c0100301ac4d0af00b11e13","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"44ce2da988c6844924abb74492291237a50fa8db5c0100301ac4d0af00b11e13","first_computed_at":"2026-05-18T00:41:33.691566Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:41:33.691566Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"biP/wWXCcV0pE+Jc6KhPHBqAoAq4w9qn0SoEvHLeLwnjjVVoBh8zJHBfDQMtJZj9/tQNjF0sPz/l9VPN3U0wDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:41:33.692148Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.04332","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:037cef6f50b108ff23fa24a32c8843a3eb8057b5fb33c719fb789d05ebee8798","sha256:430967e018f92837f414066592c18c547febcb6c7d21593e0ac9d24d2c2f8b8e"],"state_sha256":"fb9ea25b0e6979c802982e980a01ba50ec02bf56b70ea2460ef4b1312de19a6f"}