{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:AF5IIJIKREG3QVEQKQW75APTAF","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":"510ae0344073968de5e47d798c8e63a936a28ade4fc213a220a2da8c9e0d238e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.DS","submitted_at":"2013-09-19T13:41:21Z","title_canon_sha256":"9c0f634dc8066b5b9f2b6d8688d94c7c84f87e2eecf5daa7c662ef742381a40c"},"schema_version":"1.0","source":{"id":"1309.4973","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.4973","created_at":"2026-05-18T02:18:23Z"},{"alias_kind":"arxiv_version","alias_value":"1309.4973v3","created_at":"2026-05-18T02:18:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.4973","created_at":"2026-05-18T02:18:23Z"},{"alias_kind":"pith_short_12","alias_value":"AF5IIJIKREG3","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AF5IIJIKREG3QVEQ","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AF5IIJIK","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:fac223224bda63af1fbef4afac7710de935f3fd103c532bd6f9a27f745ebc9e7","target":"graph","created_at":"2026-05-18T02:18:23Z","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":"We present the first approximate distance oracle for sparse directed networks with time-dependent arc-travel-times determined by continuous, piecewise linear, positive functions possessing the FIFO property.\n  Our approach precomputes $(1+\\epsilon)-$approximate distance summaries from selected landmark vertices to all other vertices in the network. Our oracle uses subquadratic space and time preprocessing, and provides two sublinear-time query algorithms that deliver constant and $(1+\\sigma)-$approximate shortest-travel-times, respectively, for arbitrary origin-destination pairs in the network","authors_text":"Christos Zaroliagis, Spyros Kontogiannis","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.DS","submitted_at":"2013-09-19T13:41:21Z","title":"Distance Oracles for Time-Dependent Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.4973","kind":"arxiv","version":3},"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":"sha256:01fe78f8eee8c15fc7697d9923c70cb1e7c6dc3ec127f9b0686f3c1b4e873915","target":"record","created_at":"2026-05-18T02:18:23Z","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":"510ae0344073968de5e47d798c8e63a936a28ade4fc213a220a2da8c9e0d238e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.DS","submitted_at":"2013-09-19T13:41:21Z","title_canon_sha256":"9c0f634dc8066b5b9f2b6d8688d94c7c84f87e2eecf5daa7c662ef742381a40c"},"schema_version":"1.0","source":{"id":"1309.4973","kind":"arxiv","version":3}},"canonical_sha256":"017a84250a890db85490542dfe81f301756af862723575a9c1f6f6c1acd2ebc5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"017a84250a890db85490542dfe81f301756af862723575a9c1f6f6c1acd2ebc5","first_computed_at":"2026-05-18T02:18:23.971907Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:23.971907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oKDZ6QTus7jD3DFwJ5x5IPfJuwVWadh+XYi8z9UJQzI4XlmvzZYJPKHlhntM/Ew9UPIfkJaNmWzZzYSN8z2iDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:23.972510Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.4973","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:01fe78f8eee8c15fc7697d9923c70cb1e7c6dc3ec127f9b0686f3c1b4e873915","sha256:fac223224bda63af1fbef4afac7710de935f3fd103c532bd6f9a27f745ebc9e7"],"state_sha256":"1eefb742f8b874816cef8247299164be4a73661257874be7732ac6b8effdeacd"}