{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:GRSKVQJMJM5AYXZMZM664FPMS2","short_pith_number":"pith:GRSKVQJM","schema_version":"1.0","canonical_sha256":"3464aac12c4b3a0c5f2ccb3dee15ec96b077bf06301f783e1ba62dfb711c5962","source":{"kind":"arxiv","id":"2507.19123","version":1},"attestation_state":"computed","paper":{"title":"Existence of Strong Randomized Equilibria in Mean-Field Games of Optimal Stopping with Common Noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","q-fin.MF"],"primary_cat":"math.OC","authors_text":"Anna Pajola, Giorgio Ferrari","submitted_at":"2025-07-25T10:03:01Z","abstract_excerpt":"We study a mean-field game of optimal stopping and investigate the existence of strong solutions via a connection with the Bank-El Karoui's representation problem. Under certain continuity assumptions, where the common noise is generated by a countable partition, we show that a strong randomized mean-field equilibrium exists, in which the mean-field interaction term is adapted to the common noise and the stopping time is randomized. Furthermore, under suitable monotonicity assumptions and for a general common noise, we provide a comparative statics analysis of the set of strong mean-field equi"},"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":"2507.19123","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2025-07-25T10:03:01Z","cross_cats_sorted":["math.PR","q-fin.MF"],"title_canon_sha256":"1fdcd89a9a2e7de244293ef32f5249692bb0abc92387450a2c2cd539240555f3","abstract_canon_sha256":"9acc332a282a0f8d6148330ccd5bd7045dfb26ce60f516ae767052b39bb0d0a2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:43:19.869639Z","signature_b64":"JUH9seQUGdGRlKdig3Q9ueUlsFkdWDnkneGGO0hJqnxESga4PmTj2M8hLmfPSqK3fabzRKFy7GkeiXWN2/blBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3464aac12c4b3a0c5f2ccb3dee15ec96b077bf06301f783e1ba62dfb711c5962","last_reissued_at":"2026-07-05T11:43:19.869160Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:43:19.869160Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Existence of Strong Randomized Equilibria in Mean-Field Games of Optimal Stopping with Common Noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","q-fin.MF"],"primary_cat":"math.OC","authors_text":"Anna Pajola, Giorgio Ferrari","submitted_at":"2025-07-25T10:03:01Z","abstract_excerpt":"We study a mean-field game of optimal stopping and investigate the existence of strong solutions via a connection with the Bank-El Karoui's representation problem. Under certain continuity assumptions, where the common noise is generated by a countable partition, we show that a strong randomized mean-field equilibrium exists, in which the mean-field interaction term is adapted to the common noise and the stopping time is randomized. Furthermore, under suitable monotonicity assumptions and for a general common noise, we provide a comparative statics analysis of the set of strong mean-field equi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.19123","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/2507.19123/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":"2507.19123","created_at":"2026-07-05T11:43:19.869209+00:00"},{"alias_kind":"arxiv_version","alias_value":"2507.19123v1","created_at":"2026-07-05T11:43:19.869209+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.19123","created_at":"2026-07-05T11:43:19.869209+00:00"},{"alias_kind":"pith_short_12","alias_value":"GRSKVQJMJM5A","created_at":"2026-07-05T11:43:19.869209+00:00"},{"alias_kind":"pith_short_16","alias_value":"GRSKVQJMJM5AYXZM","created_at":"2026-07-05T11:43:19.869209+00:00"},{"alias_kind":"pith_short_8","alias_value":"GRSKVQJM","created_at":"2026-07-05T11:43:19.869209+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/GRSKVQJMJM5AYXZMZM664FPMS2","json":"https://pith.science/pith/GRSKVQJMJM5AYXZMZM664FPMS2.json","graph_json":"https://pith.science/api/pith-number/GRSKVQJMJM5AYXZMZM664FPMS2/graph.json","events_json":"https://pith.science/api/pith-number/GRSKVQJMJM5AYXZMZM664FPMS2/events.json","paper":"https://pith.science/paper/GRSKVQJM"},"agent_actions":{"view_html":"https://pith.science/pith/GRSKVQJMJM5AYXZMZM664FPMS2","download_json":"https://pith.science/pith/GRSKVQJMJM5AYXZMZM664FPMS2.json","view_paper":"https://pith.science/paper/GRSKVQJM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2507.19123&json=true","fetch_graph":"https://pith.science/api/pith-number/GRSKVQJMJM5AYXZMZM664FPMS2/graph.json","fetch_events":"https://pith.science/api/pith-number/GRSKVQJMJM5AYXZMZM664FPMS2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GRSKVQJMJM5AYXZMZM664FPMS2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GRSKVQJMJM5AYXZMZM664FPMS2/action/storage_attestation","attest_author":"https://pith.science/pith/GRSKVQJMJM5AYXZMZM664FPMS2/action/author_attestation","sign_citation":"https://pith.science/pith/GRSKVQJMJM5AYXZMZM664FPMS2/action/citation_signature","submit_replication":"https://pith.science/pith/GRSKVQJMJM5AYXZMZM664FPMS2/action/replication_record"}},"created_at":"2026-07-05T11:43:19.869209+00:00","updated_at":"2026-07-05T11:43:19.869209+00:00"}