{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:OLZBWGHXNC6ZSVVOOXUZAUCWG7","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":"872ca6445be9c7517d2aadb5e2c496914a056afb3abf345e8ebe14628b799d9c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-06-21T09:38:01Z","title_canon_sha256":"be641bf1ba321e3132890e8a1910f1e43d5b8f1656dbb060146c8cefb30e4f59"},"schema_version":"1.0","source":{"id":"1806.08138","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.08138","created_at":"2026-05-18T00:12:41Z"},{"alias_kind":"arxiv_version","alias_value":"1806.08138v1","created_at":"2026-05-18T00:12:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.08138","created_at":"2026-05-18T00:12:41Z"},{"alias_kind":"pith_short_12","alias_value":"OLZBWGHXNC6Z","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OLZBWGHXNC6ZSVVO","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OLZBWGHX","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:940ce49844c9081d07ffc34e53c7a055a3a3bc69b5a7eab9b1125301e6ebc433","target":"graph","created_at":"2026-05-18T00:12:41Z","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":"We study the local in time existence of a regular solution of a nonlinear parabolic backward-forward system arising from the theory of Mean-Field Games (briefly MFG). The proof is based on a contraction argument in a suitable space that takes account of the peculiar structure of the system, which involves also a coupling at the final horizon. We apply the result to obtain existence to very general MFG models, including also congestion problems.","authors_text":"Marco Cirant, Paola Mannucci, Roberto Gianni","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-06-21T09:38:01Z","title":"Short time existence for a general backward-forward parabolic system arising from Mean-Field Games"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.08138","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:fed4193cbdfd0c93002df06f29435d32a6be9f54ffee1303baed358238c2a288","target":"record","created_at":"2026-05-18T00:12:41Z","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":"872ca6445be9c7517d2aadb5e2c496914a056afb3abf345e8ebe14628b799d9c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-06-21T09:38:01Z","title_canon_sha256":"be641bf1ba321e3132890e8a1910f1e43d5b8f1656dbb060146c8cefb30e4f59"},"schema_version":"1.0","source":{"id":"1806.08138","kind":"arxiv","version":1}},"canonical_sha256":"72f21b18f768bd9956ae75e990505637d08839ed73ae8d143f5e8990affb3634","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"72f21b18f768bd9956ae75e990505637d08839ed73ae8d143f5e8990affb3634","first_computed_at":"2026-05-18T00:12:41.922225Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:12:41.922225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"McrhDqfNUv+UtkJ3YFE+XM6sJvy/P4IAnU1d97QlHLXf7aD2xtl6ZslRFUXBXV4A6eK6zV8JU37iOI3gnWsDBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:12:41.922786Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.08138","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fed4193cbdfd0c93002df06f29435d32a6be9f54ffee1303baed358238c2a288","sha256:940ce49844c9081d07ffc34e53c7a055a3a3bc69b5a7eab9b1125301e6ebc433"],"state_sha256":"afcef0ef12f76f01f026096cb7c2d3db16fc6c9c2b6230f71d28e5b42f2cbf3a"}