{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:66EGALIUBDXLVNRQ2Z2F7CONK5","short_pith_number":"pith:66EGALIU","schema_version":"1.0","canonical_sha256":"f788602d1408eebab630d6745f89cd5776fe6dfa4db6f890a735621845587dfb","source":{"kind":"arxiv","id":"2201.00260","version":2},"attestation_state":"computed","paper":{"title":"A time-dependent switching mean-field game on networks motivated by optimal visiting problems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.OC","authors_text":"Fabio Bagagiolo, Luciano Marzufero","submitted_at":"2022-01-01T23:27:04Z","abstract_excerpt":"Motivated by an optimal visiting problem, we study a switching mean-field game on a network, where both a decisional and a switching time-variable is at disposal of the agents for what concerns, respectively, the instant to decide and the instant to perform the switch. Every switch between the nodes of the network represents a switch from $0$ to $1$ of one component of the string $p = (p_1,\\ldots, p_n)$ which, in the optimal visiting interpretation, gives information on the visited targets, being the targets labeled by $i=1,\\ldots, n$. The goal is to reach the final string $(1, \\ldots, 1)$ in "},"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":"2201.00260","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2022-01-01T23:27:04Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"08cb0dcaf257348dd19eab4356a56abdd73bdbcfc1370ba2c6df9a460dd80aba","abstract_canon_sha256":"042a41a56b0432d122e4ee4496bff205305eef1bfba2b60610e7eb867066ba7d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:53:31.006216Z","signature_b64":"HnBFfWCYqM+iawEmet4VrKktqnRQ46rIIeT8CVxlLDFspcst3lv0d3n/tDZ0jTa9JT5DA6sKhlzP344c0TvoAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f788602d1408eebab630d6745f89cd5776fe6dfa4db6f890a735621845587dfb","last_reissued_at":"2026-07-05T05:53:31.005715Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:53:31.005715Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A time-dependent switching mean-field game on networks motivated by optimal visiting problems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.OC","authors_text":"Fabio Bagagiolo, Luciano Marzufero","submitted_at":"2022-01-01T23:27:04Z","abstract_excerpt":"Motivated by an optimal visiting problem, we study a switching mean-field game on a network, where both a decisional and a switching time-variable is at disposal of the agents for what concerns, respectively, the instant to decide and the instant to perform the switch. Every switch between the nodes of the network represents a switch from $0$ to $1$ of one component of the string $p = (p_1,\\ldots, p_n)$ which, in the optimal visiting interpretation, gives information on the visited targets, being the targets labeled by $i=1,\\ldots, n$. The goal is to reach the final string $(1, \\ldots, 1)$ in "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.00260","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2201.00260/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":"2201.00260","created_at":"2026-07-05T05:53:31.005779+00:00"},{"alias_kind":"arxiv_version","alias_value":"2201.00260v2","created_at":"2026-07-05T05:53:31.005779+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.00260","created_at":"2026-07-05T05:53:31.005779+00:00"},{"alias_kind":"pith_short_12","alias_value":"66EGALIUBDXL","created_at":"2026-07-05T05:53:31.005779+00:00"},{"alias_kind":"pith_short_16","alias_value":"66EGALIUBDXLVNRQ","created_at":"2026-07-05T05:53:31.005779+00:00"},{"alias_kind":"pith_short_8","alias_value":"66EGALIU","created_at":"2026-07-05T05:53:31.005779+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/66EGALIUBDXLVNRQ2Z2F7CONK5","json":"https://pith.science/pith/66EGALIUBDXLVNRQ2Z2F7CONK5.json","graph_json":"https://pith.science/api/pith-number/66EGALIUBDXLVNRQ2Z2F7CONK5/graph.json","events_json":"https://pith.science/api/pith-number/66EGALIUBDXLVNRQ2Z2F7CONK5/events.json","paper":"https://pith.science/paper/66EGALIU"},"agent_actions":{"view_html":"https://pith.science/pith/66EGALIUBDXLVNRQ2Z2F7CONK5","download_json":"https://pith.science/pith/66EGALIUBDXLVNRQ2Z2F7CONK5.json","view_paper":"https://pith.science/paper/66EGALIU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2201.00260&json=true","fetch_graph":"https://pith.science/api/pith-number/66EGALIUBDXLVNRQ2Z2F7CONK5/graph.json","fetch_events":"https://pith.science/api/pith-number/66EGALIUBDXLVNRQ2Z2F7CONK5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/66EGALIUBDXLVNRQ2Z2F7CONK5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/66EGALIUBDXLVNRQ2Z2F7CONK5/action/storage_attestation","attest_author":"https://pith.science/pith/66EGALIUBDXLVNRQ2Z2F7CONK5/action/author_attestation","sign_citation":"https://pith.science/pith/66EGALIUBDXLVNRQ2Z2F7CONK5/action/citation_signature","submit_replication":"https://pith.science/pith/66EGALIUBDXLVNRQ2Z2F7CONK5/action/replication_record"}},"created_at":"2026-07-05T05:53:31.005779+00:00","updated_at":"2026-07-05T05:53:31.005779+00:00"}