{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:YCHCOSHKYAV7BBCQSGVRYFEL6F","short_pith_number":"pith:YCHCOSHK","schema_version":"1.0","canonical_sha256":"c08e2748eac02bf0845091ab1c148bf1629cbcf5ba587043427655350c85673c","source":{"kind":"arxiv","id":"1710.01068","version":2},"attestation_state":"computed","paper":{"title":"Pareto optimality in multilayer network growth","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","cond-mat.stat-mech","math.OC","nlin.AO"],"primary_cat":"physics.soc-ph","authors_text":"Andrea Santoro, Giuseppe Nicosia, Vincenzo Nicosia, Vito Latora","submitted_at":"2017-10-03T10:56:36Z","abstract_excerpt":"We model the formation of multi-layer transportation networks as a multi-objective optimization process, where service providers compete for passengers, and the creation of routes is determined by a multi-objective cost function encoding a trade-off between efficiency and competition. The resulting model reproduces well real-world systems as diverse as airplane, train and bus networks, thus suggesting that such systems are indeed compatible with the proposed local optimization mechanisms. In the specific case of airline transportation systems, we show that the networks of routes operated by ea"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1710.01068","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2017-10-03T10:56:36Z","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.stat-mech","math.OC","nlin.AO"],"title_canon_sha256":"2b337d795a56d25efcbf49748022ff242f5e601a5f0b0031d5bc8a242d427da5","abstract_canon_sha256":"7e3fb360a1ad731187caf66f8ec70f1af3c8ae2e0dfde0d0ebc0933723f95c84"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:50.247030Z","signature_b64":"nnFnVUv3cC0VJCB/Z3wEgHclm/nznxazgAfWNorSqrCUwRc4ftAUu0gSiv4kSIGuXxq/wGGUdDJgLZw+dIdvAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c08e2748eac02bf0845091ab1c148bf1629cbcf5ba587043427655350c85673c","last_reissued_at":"2026-05-18T00:04:50.246300Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:50.246300Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Pareto optimality in multilayer network growth","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","cond-mat.stat-mech","math.OC","nlin.AO"],"primary_cat":"physics.soc-ph","authors_text":"Andrea Santoro, Giuseppe Nicosia, Vincenzo Nicosia, Vito Latora","submitted_at":"2017-10-03T10:56:36Z","abstract_excerpt":"We model the formation of multi-layer transportation networks as a multi-objective optimization process, where service providers compete for passengers, and the creation of routes is determined by a multi-objective cost function encoding a trade-off between efficiency and competition. The resulting model reproduces well real-world systems as diverse as airplane, train and bus networks, thus suggesting that such systems are indeed compatible with the proposed local optimization mechanisms. In the specific case of airline transportation systems, we show that the networks of routes operated by ea"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.01068","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1710.01068","created_at":"2026-05-18T00:04:50.246425+00:00"},{"alias_kind":"arxiv_version","alias_value":"1710.01068v2","created_at":"2026-05-18T00:04:50.246425+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.01068","created_at":"2026-05-18T00:04:50.246425+00:00"},{"alias_kind":"pith_short_12","alias_value":"YCHCOSHKYAV7","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_16","alias_value":"YCHCOSHKYAV7BBCQ","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_8","alias_value":"YCHCOSHK","created_at":"2026-05-18T12:31:56.362134+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YCHCOSHKYAV7BBCQSGVRYFEL6F","json":"https://pith.science/pith/YCHCOSHKYAV7BBCQSGVRYFEL6F.json","graph_json":"https://pith.science/api/pith-number/YCHCOSHKYAV7BBCQSGVRYFEL6F/graph.json","events_json":"https://pith.science/api/pith-number/YCHCOSHKYAV7BBCQSGVRYFEL6F/events.json","paper":"https://pith.science/paper/YCHCOSHK"},"agent_actions":{"view_html":"https://pith.science/pith/YCHCOSHKYAV7BBCQSGVRYFEL6F","download_json":"https://pith.science/pith/YCHCOSHKYAV7BBCQSGVRYFEL6F.json","view_paper":"https://pith.science/paper/YCHCOSHK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1710.01068&json=true","fetch_graph":"https://pith.science/api/pith-number/YCHCOSHKYAV7BBCQSGVRYFEL6F/graph.json","fetch_events":"https://pith.science/api/pith-number/YCHCOSHKYAV7BBCQSGVRYFEL6F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YCHCOSHKYAV7BBCQSGVRYFEL6F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YCHCOSHKYAV7BBCQSGVRYFEL6F/action/storage_attestation","attest_author":"https://pith.science/pith/YCHCOSHKYAV7BBCQSGVRYFEL6F/action/author_attestation","sign_citation":"https://pith.science/pith/YCHCOSHKYAV7BBCQSGVRYFEL6F/action/citation_signature","submit_replication":"https://pith.science/pith/YCHCOSHKYAV7BBCQSGVRYFEL6F/action/replication_record"}},"created_at":"2026-05-18T00:04:50.246425+00:00","updated_at":"2026-05-18T00:04:50.246425+00:00"}