{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:2ZWEMTQZZIBJHF4JGVNUOKIIAG","short_pith_number":"pith:2ZWEMTQZ","schema_version":"1.0","canonical_sha256":"d66c464e19ca02939789355b47290801b5ea50f3052f743fa6ed37f995c846a5","source":{"kind":"arxiv","id":"1308.0509","version":3},"attestation_state":"computed","paper":{"title":"Optimal Stopping When the Absorbing Boundary is Following After","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Masahiko Egami, Tadao Oryu","submitted_at":"2013-08-02T14:21:44Z","abstract_excerpt":"We consider a new type of optimal stopping problems where the absorbing boundary moves as the state process X attains new maxima S. More specifically, we set the absorbing boundary as S-b where b is a certain constant. This problem is naturally connected with excursions from zero of the reflected process S-X. We examine this constrained optimization with the state variable X as a spectrally negative Levy process. The problem is in nature a two-dimensional one. The threshold strategy given by the path of X is not in fact optimal. It turns out, however, that we can reduce the original problem to"},"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":"1308.0509","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-08-02T14:21:44Z","cross_cats_sorted":[],"title_canon_sha256":"d97ed0391a49dea0c910cea27928161209c4358e6265fe608213aeae78ea3a6f","abstract_canon_sha256":"c55679d04f58a8a92da75f9674c126b44c555c0cf0c92088165d2f4b716fa49b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:18:52.019269Z","signature_b64":"e8voEUZF1RhEKaiWVlJB9KxUIIRM4oxf3eLr/+Oier3sDuvP4MGCYLzFQPJ5Lwtfd8O26UJp7g6me1yopnG5Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d66c464e19ca02939789355b47290801b5ea50f3052f743fa6ed37f995c846a5","last_reissued_at":"2026-05-18T02:18:52.018666Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:18:52.018666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Optimal Stopping When the Absorbing Boundary is Following After","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Masahiko Egami, Tadao Oryu","submitted_at":"2013-08-02T14:21:44Z","abstract_excerpt":"We consider a new type of optimal stopping problems where the absorbing boundary moves as the state process X attains new maxima S. More specifically, we set the absorbing boundary as S-b where b is a certain constant. This problem is naturally connected with excursions from zero of the reflected process S-X. We examine this constrained optimization with the state variable X as a spectrally negative Levy process. The problem is in nature a two-dimensional one. The threshold strategy given by the path of X is not in fact optimal. It turns out, however, that we can reduce the original problem to"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.0509","kind":"arxiv","version":3},"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":"1308.0509","created_at":"2026-05-18T02:18:52.018757+00:00"},{"alias_kind":"arxiv_version","alias_value":"1308.0509v3","created_at":"2026-05-18T02:18:52.018757+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.0509","created_at":"2026-05-18T02:18:52.018757+00:00"},{"alias_kind":"pith_short_12","alias_value":"2ZWEMTQZZIBJ","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_16","alias_value":"2ZWEMTQZZIBJHF4J","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_8","alias_value":"2ZWEMTQZ","created_at":"2026-05-18T12:27:32.513160+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/2ZWEMTQZZIBJHF4JGVNUOKIIAG","json":"https://pith.science/pith/2ZWEMTQZZIBJHF4JGVNUOKIIAG.json","graph_json":"https://pith.science/api/pith-number/2ZWEMTQZZIBJHF4JGVNUOKIIAG/graph.json","events_json":"https://pith.science/api/pith-number/2ZWEMTQZZIBJHF4JGVNUOKIIAG/events.json","paper":"https://pith.science/paper/2ZWEMTQZ"},"agent_actions":{"view_html":"https://pith.science/pith/2ZWEMTQZZIBJHF4JGVNUOKIIAG","download_json":"https://pith.science/pith/2ZWEMTQZZIBJHF4JGVNUOKIIAG.json","view_paper":"https://pith.science/paper/2ZWEMTQZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1308.0509&json=true","fetch_graph":"https://pith.science/api/pith-number/2ZWEMTQZZIBJHF4JGVNUOKIIAG/graph.json","fetch_events":"https://pith.science/api/pith-number/2ZWEMTQZZIBJHF4JGVNUOKIIAG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2ZWEMTQZZIBJHF4JGVNUOKIIAG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2ZWEMTQZZIBJHF4JGVNUOKIIAG/action/storage_attestation","attest_author":"https://pith.science/pith/2ZWEMTQZZIBJHF4JGVNUOKIIAG/action/author_attestation","sign_citation":"https://pith.science/pith/2ZWEMTQZZIBJHF4JGVNUOKIIAG/action/citation_signature","submit_replication":"https://pith.science/pith/2ZWEMTQZZIBJHF4JGVNUOKIIAG/action/replication_record"}},"created_at":"2026-05-18T02:18:52.018757+00:00","updated_at":"2026-05-18T02:18:52.018757+00:00"}