{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:KA2AA7RWEZR4T5NNEO6N2M5DMX","short_pith_number":"pith:KA2AA7RW","schema_version":"1.0","canonical_sha256":"5034007e362663c9f5ad23bcdd33a365fd0c95126d6d6f51eaaa10401e4b1bfc","source":{"kind":"arxiv","id":"2504.13503","version":1},"attestation_state":"computed","paper":{"title":"The non-linear multiple stopping problem: between the discrete and the continuous time","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.OC","authors_text":"LPSM), Marie-Claire Quenez (UPCit\\'e, Miryana Grigorova, Peng Yuan","submitted_at":"2025-04-18T06:47:29Z","abstract_excerpt":"We consider the non-linear optimal multiple stopping problem under general conditions on the non-linear evaluation operators, which might depend on two time indices: the time of evaluation/assessment and the horizon (when the reward or loss is incurred). We do not assume convexity/concavity or cash-invariance. We focus on the case where the agent's stopping strategies are what we call Bermudan stopping strategies, a framework which can be seen as lying between the discrete and the continuous time. We first study the non-linear double optimal stopping problem by using a reduction approach. We p"},"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":"2504.13503","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2025-04-18T06:47:29Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"2e6895dbf23f58b89b7b8edaf0446cdd5f657952c52a695e7c64c74a34731508","abstract_canon_sha256":"2cb3ff4a0035e1c810ca61d28944d94d9806e92964f4f3ab953ad66bd6957fa1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:50:56.603103Z","signature_b64":"VbmAj8CNQjkrfTJmtvVXyugGkXsXniUbTgvbRyH16tNf77j64Bn9XZ1Ej32OJ/unhMhtm48akDeDALPi9HxZDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5034007e362663c9f5ad23bcdd33a365fd0c95126d6d6f51eaaa10401e4b1bfc","last_reissued_at":"2026-07-05T10:50:56.602541Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:50:56.602541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The non-linear multiple stopping problem: between the discrete and the continuous time","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.OC","authors_text":"LPSM), Marie-Claire Quenez (UPCit\\'e, Miryana Grigorova, Peng Yuan","submitted_at":"2025-04-18T06:47:29Z","abstract_excerpt":"We consider the non-linear optimal multiple stopping problem under general conditions on the non-linear evaluation operators, which might depend on two time indices: the time of evaluation/assessment and the horizon (when the reward or loss is incurred). We do not assume convexity/concavity or cash-invariance. We focus on the case where the agent's stopping strategies are what we call Bermudan stopping strategies, a framework which can be seen as lying between the discrete and the continuous time. We first study the non-linear double optimal stopping problem by using a reduction approach. We p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.13503","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/2504.13503/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":"2504.13503","created_at":"2026-07-05T10:50:56.602605+00:00"},{"alias_kind":"arxiv_version","alias_value":"2504.13503v1","created_at":"2026-07-05T10:50:56.602605+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.13503","created_at":"2026-07-05T10:50:56.602605+00:00"},{"alias_kind":"pith_short_12","alias_value":"KA2AA7RWEZR4","created_at":"2026-07-05T10:50:56.602605+00:00"},{"alias_kind":"pith_short_16","alias_value":"KA2AA7RWEZR4T5NN","created_at":"2026-07-05T10:50:56.602605+00:00"},{"alias_kind":"pith_short_8","alias_value":"KA2AA7RW","created_at":"2026-07-05T10:50:56.602605+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/KA2AA7RWEZR4T5NNEO6N2M5DMX","json":"https://pith.science/pith/KA2AA7RWEZR4T5NNEO6N2M5DMX.json","graph_json":"https://pith.science/api/pith-number/KA2AA7RWEZR4T5NNEO6N2M5DMX/graph.json","events_json":"https://pith.science/api/pith-number/KA2AA7RWEZR4T5NNEO6N2M5DMX/events.json","paper":"https://pith.science/paper/KA2AA7RW"},"agent_actions":{"view_html":"https://pith.science/pith/KA2AA7RWEZR4T5NNEO6N2M5DMX","download_json":"https://pith.science/pith/KA2AA7RWEZR4T5NNEO6N2M5DMX.json","view_paper":"https://pith.science/paper/KA2AA7RW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2504.13503&json=true","fetch_graph":"https://pith.science/api/pith-number/KA2AA7RWEZR4T5NNEO6N2M5DMX/graph.json","fetch_events":"https://pith.science/api/pith-number/KA2AA7RWEZR4T5NNEO6N2M5DMX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KA2AA7RWEZR4T5NNEO6N2M5DMX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KA2AA7RWEZR4T5NNEO6N2M5DMX/action/storage_attestation","attest_author":"https://pith.science/pith/KA2AA7RWEZR4T5NNEO6N2M5DMX/action/author_attestation","sign_citation":"https://pith.science/pith/KA2AA7RWEZR4T5NNEO6N2M5DMX/action/citation_signature","submit_replication":"https://pith.science/pith/KA2AA7RWEZR4T5NNEO6N2M5DMX/action/replication_record"}},"created_at":"2026-07-05T10:50:56.602605+00:00","updated_at":"2026-07-05T10:50:56.602605+00:00"}