{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:CBT32FMV4Z45KKV2OF65UTY62H","short_pith_number":"pith:CBT32FMV","schema_version":"1.0","canonical_sha256":"1067bd1595e679d52aba717dda4f1ed1eca9f889f4aa1bf3c6e9940889e65f8f","source":{"kind":"arxiv","id":"2305.13986","version":1},"attestation_state":"computed","paper":{"title":"A Multi-Modal Network Equilibrium Model with Interacting Mobility Service Providers'Strategies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"Claudia Bandiera, Francesco Viti, Richard D. Connors","submitted_at":"2023-05-23T12:11:57Z","abstract_excerpt":"A Mathematical Program with Equilibrium Constraints (MPEC) is formulated to capture the relationships between multiple Mobility Service Providers (MSPs) and the users of a multi-modal transport network. The network supply structure is defined through a novel supernetwork approach where users' daily trip chains are represented to model the mobility services used to reach each destination. At the upper level, a profit maximization formulation is introduced to describe each MSPs' behaviour. At the lower level, users within a class choose minimum cost routes, according to Wardrop's first equilibri"},"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":"2305.13986","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2023-05-23T12:11:57Z","cross_cats_sorted":[],"title_canon_sha256":"0b849e57b91dc234dc01f3a27f3abb63ecae0c55759a181c01dbd9d8b7a35514","abstract_canon_sha256":"b93be106b6a67249c20b4c5f63d0daf528195fc51805d57566b7bd1fb4fea21b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:12:59.772330Z","signature_b64":"m+DR6wlNLwP9diZoGrrx5ituG5LFeGYw6Ehezqd/GS4bvKXkkdtLLbKyT/ZVHJDffUDaxBmDoFKQuRT1niHfCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1067bd1595e679d52aba717dda4f1ed1eca9f889f4aa1bf3c6e9940889e65f8f","last_reissued_at":"2026-07-05T06:12:59.771869Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:12:59.771869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Multi-Modal Network Equilibrium Model with Interacting Mobility Service Providers'Strategies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"Claudia Bandiera, Francesco Viti, Richard D. Connors","submitted_at":"2023-05-23T12:11:57Z","abstract_excerpt":"A Mathematical Program with Equilibrium Constraints (MPEC) is formulated to capture the relationships between multiple Mobility Service Providers (MSPs) and the users of a multi-modal transport network. The network supply structure is defined through a novel supernetwork approach where users' daily trip chains are represented to model the mobility services used to reach each destination. At the upper level, a profit maximization formulation is introduced to describe each MSPs' behaviour. At the lower level, users within a class choose minimum cost routes, according to Wardrop's first equilibri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.13986","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2305.13986/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2305.13986","created_at":"2026-07-05T06:12:59.771925+00:00"},{"alias_kind":"arxiv_version","alias_value":"2305.13986v1","created_at":"2026-07-05T06:12:59.771925+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.13986","created_at":"2026-07-05T06:12:59.771925+00:00"},{"alias_kind":"pith_short_12","alias_value":"CBT32FMV4Z45","created_at":"2026-07-05T06:12:59.771925+00:00"},{"alias_kind":"pith_short_16","alias_value":"CBT32FMV4Z45KKV2","created_at":"2026-07-05T06:12:59.771925+00:00"},{"alias_kind":"pith_short_8","alias_value":"CBT32FMV","created_at":"2026-07-05T06:12:59.771925+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/CBT32FMV4Z45KKV2OF65UTY62H","json":"https://pith.science/pith/CBT32FMV4Z45KKV2OF65UTY62H.json","graph_json":"https://pith.science/api/pith-number/CBT32FMV4Z45KKV2OF65UTY62H/graph.json","events_json":"https://pith.science/api/pith-number/CBT32FMV4Z45KKV2OF65UTY62H/events.json","paper":"https://pith.science/paper/CBT32FMV"},"agent_actions":{"view_html":"https://pith.science/pith/CBT32FMV4Z45KKV2OF65UTY62H","download_json":"https://pith.science/pith/CBT32FMV4Z45KKV2OF65UTY62H.json","view_paper":"https://pith.science/paper/CBT32FMV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2305.13986&json=true","fetch_graph":"https://pith.science/api/pith-number/CBT32FMV4Z45KKV2OF65UTY62H/graph.json","fetch_events":"https://pith.science/api/pith-number/CBT32FMV4Z45KKV2OF65UTY62H/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CBT32FMV4Z45KKV2OF65UTY62H/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CBT32FMV4Z45KKV2OF65UTY62H/action/storage_attestation","attest_author":"https://pith.science/pith/CBT32FMV4Z45KKV2OF65UTY62H/action/author_attestation","sign_citation":"https://pith.science/pith/CBT32FMV4Z45KKV2OF65UTY62H/action/citation_signature","submit_replication":"https://pith.science/pith/CBT32FMV4Z45KKV2OF65UTY62H/action/replication_record"}},"created_at":"2026-07-05T06:12:59.771925+00:00","updated_at":"2026-07-05T06:12:59.771925+00:00"}