{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:GZS56EPAOVQT2V3DB3LZORVBSW","short_pith_number":"pith:GZS56EPA","schema_version":"1.0","canonical_sha256":"3665df11e075613d57630ed79746a195a619dc788b170c73861a1a3533b6a87f","source":{"kind":"arxiv","id":"1802.06470","version":2},"attestation_state":"computed","paper":{"title":"A model for a network of conveyor belts with discontinuous speed and capacity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Adriano Festa, Marion Pfirsching, Simone G\\\"ottlich","submitted_at":"2018-02-18T23:48:50Z","abstract_excerpt":"We introduce a macroscopic model for a network of conveyor belts with various speeds and capacities. In a different way from traffic flow models, the product densities are forced to move with a constant velocity unless they reach a maximal capacity and start to queue. This kind of dynamics is governed by scalar conservation laws consisting of a discontinuous flux function. We define appropriate coupling conditions to get well-posed solutions at intersections and provide a detailed description of the solution. Some numerical simulations are presented to illustrate and confirm the theoretical re"},"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":"1802.06470","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-02-18T23:48:50Z","cross_cats_sorted":[],"title_canon_sha256":"7ffd65158245690b16257abe6116e9edae88656061900cdd24bf46d14ce2772a","abstract_canon_sha256":"cc09fb01528607c836fb1a0869f241bed9ea443343714c3380e615ef8a624295"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:45.198434Z","signature_b64":"5P7GBcaXROJ+txsPpChGimYAeH0j/+Z0X5z5ee5/0PndJU4YKc3Q1DvD/e5GwzjYxkNLOqcGCwX0idqYY3V3Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3665df11e075613d57630ed79746a195a619dc788b170c73861a1a3533b6a87f","last_reissued_at":"2026-05-18T00:02:45.198020Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:45.198020Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A model for a network of conveyor belts with discontinuous speed and capacity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Adriano Festa, Marion Pfirsching, Simone G\\\"ottlich","submitted_at":"2018-02-18T23:48:50Z","abstract_excerpt":"We introduce a macroscopic model for a network of conveyor belts with various speeds and capacities. In a different way from traffic flow models, the product densities are forced to move with a constant velocity unless they reach a maximal capacity and start to queue. This kind of dynamics is governed by scalar conservation laws consisting of a discontinuous flux function. We define appropriate coupling conditions to get well-posed solutions at intersections and provide a detailed description of the solution. Some numerical simulations are presented to illustrate and confirm the theoretical re"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.06470","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":"1802.06470","created_at":"2026-05-18T00:02:45.198080+00:00"},{"alias_kind":"arxiv_version","alias_value":"1802.06470v2","created_at":"2026-05-18T00:02:45.198080+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.06470","created_at":"2026-05-18T00:02:45.198080+00:00"},{"alias_kind":"pith_short_12","alias_value":"GZS56EPAOVQT","created_at":"2026-05-18T12:32:25.280505+00:00"},{"alias_kind":"pith_short_16","alias_value":"GZS56EPAOVQT2V3D","created_at":"2026-05-18T12:32:25.280505+00:00"},{"alias_kind":"pith_short_8","alias_value":"GZS56EPA","created_at":"2026-05-18T12:32:25.280505+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/GZS56EPAOVQT2V3DB3LZORVBSW","json":"https://pith.science/pith/GZS56EPAOVQT2V3DB3LZORVBSW.json","graph_json":"https://pith.science/api/pith-number/GZS56EPAOVQT2V3DB3LZORVBSW/graph.json","events_json":"https://pith.science/api/pith-number/GZS56EPAOVQT2V3DB3LZORVBSW/events.json","paper":"https://pith.science/paper/GZS56EPA"},"agent_actions":{"view_html":"https://pith.science/pith/GZS56EPAOVQT2V3DB3LZORVBSW","download_json":"https://pith.science/pith/GZS56EPAOVQT2V3DB3LZORVBSW.json","view_paper":"https://pith.science/paper/GZS56EPA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1802.06470&json=true","fetch_graph":"https://pith.science/api/pith-number/GZS56EPAOVQT2V3DB3LZORVBSW/graph.json","fetch_events":"https://pith.science/api/pith-number/GZS56EPAOVQT2V3DB3LZORVBSW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GZS56EPAOVQT2V3DB3LZORVBSW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GZS56EPAOVQT2V3DB3LZORVBSW/action/storage_attestation","attest_author":"https://pith.science/pith/GZS56EPAOVQT2V3DB3LZORVBSW/action/author_attestation","sign_citation":"https://pith.science/pith/GZS56EPAOVQT2V3DB3LZORVBSW/action/citation_signature","submit_replication":"https://pith.science/pith/GZS56EPAOVQT2V3DB3LZORVBSW/action/replication_record"}},"created_at":"2026-05-18T00:02:45.198080+00:00","updated_at":"2026-05-18T00:02:45.198080+00:00"}