{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:TG7V4GOVD2SBRFAVOCC4P72RRP","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":"40035a3514d09dfc333857ad520bf201c4a68d9856007f7538bc64e23f3b6dd4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2010-05-11T14:31:53Z","title_canon_sha256":"c858282f41151da65ee64573bb9aeb47dbb8fee2bf7e5f6f15a90f3bdf7037b6"},"schema_version":"1.0","source":{"id":"1005.1843","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.1843","created_at":"2026-05-18T04:23:03Z"},{"alias_kind":"arxiv_version","alias_value":"1005.1843v1","created_at":"2026-05-18T04:23:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.1843","created_at":"2026-05-18T04:23:03Z"},{"alias_kind":"pith_short_12","alias_value":"TG7V4GOVD2SB","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"TG7V4GOVD2SBRFAV","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"TG7V4GOV","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:7663657c357e8a55837e4123592c519e2ed53ae9f030945e223ab52ec16e65ed","target":"graph","created_at":"2026-05-18T04:23:03Z","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":"Since its recent introduction, the small-world effect has been identified in several important real-world systems. Frequently, it is a consequence of the existence of a few long-range connections, which dominate the original regular structure of the systems and implies each node to become accessible from other nodes after a small number of steps, typically of order $\\ell \\propto \\log N$. However, this effect has been observed in pure-topological networks, where the nodes have no spatial coordinates. In this paper, we present an alalogue of small-world effect observed in real-world transportati","authors_text":"Luciano da F. Costa, Matheus P. Viana","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2010-05-11T14:31:53Z","title":"Long-Range Connections in Transportation Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.1843","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:d68534bfbb1062e056087d735c092eb603b437e87fa5956e228abeb57601e496","target":"record","created_at":"2026-05-18T04:23:03Z","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":"40035a3514d09dfc333857ad520bf201c4a68d9856007f7538bc64e23f3b6dd4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2010-05-11T14:31:53Z","title_canon_sha256":"c858282f41151da65ee64573bb9aeb47dbb8fee2bf7e5f6f15a90f3bdf7037b6"},"schema_version":"1.0","source":{"id":"1005.1843","kind":"arxiv","version":1}},"canonical_sha256":"99bf5e19d51ea41894157085c7ff518bc7aade9a6715c23373a7be7dff0f0856","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"99bf5e19d51ea41894157085c7ff518bc7aade9a6715c23373a7be7dff0f0856","first_computed_at":"2026-05-18T04:23:03.060520Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:03.060520Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zBbONXdyopONe6XrzcnLaVMJXpenVy12uzQBw8NMMiREAaTwXKEutSBmkqmHnu+HzvjxmpZb/CDaG02zBcVpDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:03.061166Z","signed_message":"canonical_sha256_bytes"},"source_id":"1005.1843","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d68534bfbb1062e056087d735c092eb603b437e87fa5956e228abeb57601e496","sha256:7663657c357e8a55837e4123592c519e2ed53ae9f030945e223ab52ec16e65ed"],"state_sha256":"8670f3d5a691f8b15de582298dfab34d965fce256d598be3d47537da47740699"}