{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:ZEJ42KBCIWLQX5YXF3EPDOUZDN","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":"effa3854504765982f04e9d4c04e9b639764cde1c95770d96656804c4e837a18","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2020-09-16T10:23:23Z","title_canon_sha256":"43bd84512d80bd8606f560bb3228921c7815c4766b628bbda050637ab85ea75f"},"schema_version":"1.0","source":{"id":"2009.07588","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2009.07588","created_at":"2026-07-05T05:30:24Z"},{"alias_kind":"arxiv_version","alias_value":"2009.07588v1","created_at":"2026-07-05T05:30:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.07588","created_at":"2026-07-05T05:30:24Z"},{"alias_kind":"pith_short_12","alias_value":"ZEJ42KBCIWLQ","created_at":"2026-07-05T05:30:24Z"},{"alias_kind":"pith_short_16","alias_value":"ZEJ42KBCIWLQX5YX","created_at":"2026-07-05T05:30:24Z"},{"alias_kind":"pith_short_8","alias_value":"ZEJ42KBC","created_at":"2026-07-05T05:30:24Z"}],"graph_snapshots":[{"event_id":"sha256:b30a5faf8f90ffec88a3536c8db4df64a3f5ba5de5dd410331e9984de5be5f10","target":"graph","created_at":"2026-07-05T05:30:24Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2009.07588/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we study a property of time-dependent graphs, dubbed path ranking invariance. Broadly speaking, a time-dependent graph is path ranking invariant if the ordering of its paths (w.r.t. travel time) is independent of the start time. In this paper we show that, if a graph is path ranking invariant, the solution of a large class of time-dependent vehicle routing problems can be obtained by solving suitably defined (and simpler) time-independent routing problems. We also show how this property can be checked by solving a linear program. If the check fails, the solution of the linear pro","authors_text":"Emanuela Guerriero, Gianpaolo Ghiani, Tommaso Adamo","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2020-09-16T10:23:23Z","title":"On path ranking in time-dependent graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.07588","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":"sha256:48318bbb03d7a528c719f888642b1c54ad2e74d51ecf29831985f1e08a537629","target":"record","created_at":"2026-07-05T05:30:24Z","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":"effa3854504765982f04e9d4c04e9b639764cde1c95770d96656804c4e837a18","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2020-09-16T10:23:23Z","title_canon_sha256":"43bd84512d80bd8606f560bb3228921c7815c4766b628bbda050637ab85ea75f"},"schema_version":"1.0","source":{"id":"2009.07588","kind":"arxiv","version":1}},"canonical_sha256":"c913cd282245970bf7172ec8f1ba991b543f5895efcc8b4a7184f6d4945c5f08","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c913cd282245970bf7172ec8f1ba991b543f5895efcc8b4a7184f6d4945c5f08","first_computed_at":"2026-07-05T05:30:24.405714Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:30:24.405714Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3e9+n9A5Wtby8fo9UkMova3aSWA4Z0sNFry9tmr1P39nEt5UYl6LhO2Jy4sCq6NKgVhQ9IrGEafhw4+40y5WAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:30:24.406091Z","signed_message":"canonical_sha256_bytes"},"source_id":"2009.07588","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:48318bbb03d7a528c719f888642b1c54ad2e74d51ecf29831985f1e08a537629","sha256:b30a5faf8f90ffec88a3536c8db4df64a3f5ba5de5dd410331e9984de5be5f10"],"state_sha256":"9abcac0de2f2697f301301acd2d84c64dfc4a35bfcb2897b7a47d056d6cc4bce"}