{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:2ZWEMTQZZIBJHF4JGVNUOKIIAG","short_pith_number":"pith:2ZWEMTQZ","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"},"canonical_sha256":"d66c464e19ca02939789355b47290801b5ea50f3052f743fa6ed37f995c846a5","source":{"kind":"arxiv","id":"1308.0509","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.0509","created_at":"2026-05-18T02:18:52Z"},{"alias_kind":"arxiv_version","alias_value":"1308.0509v3","created_at":"2026-05-18T02:18:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.0509","created_at":"2026-05-18T02:18:52Z"},{"alias_kind":"pith_short_12","alias_value":"2ZWEMTQZZIBJ","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"2ZWEMTQZZIBJHF4J","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"2ZWEMTQZ","created_at":"2026-05-18T12:27:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:2ZWEMTQZZIBJHF4JGVNUOKIIAG","target":"record","payload":{"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"},"canonical_sha256":"d66c464e19ca02939789355b47290801b5ea50f3052f743fa6ed37f995c846a5","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"},"source_kind":"arxiv","source_id":"1308.0509","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:18:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/c2CdTQ+TFpSXcWsrZItSahwVKUw4fiOb9i7mpwRpbuXFelUbUTieu4J0Nq5nEK6gqd+UgjhavuZCq812TUuDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T11:02:42.994505Z"},"content_sha256":"1d642f63106da92d0d97807786d4b0e91fded49f4b5cc1ff513b78e6c5d6ebe2","schema_version":"1.0","event_id":"sha256:1d642f63106da92d0d97807786d4b0e91fded49f4b5cc1ff513b78e6c5d6ebe2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:2ZWEMTQZZIBJHF4JGVNUOKIIAG","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:18:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NgfpNSzcbjOSAqrFVwWC+VW5zuYOgLX1Xc9AEcZ0O6PpUJQT60xJHjGX94xEU5htxdpmpgIX2K55OHhr4JpOCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T11:02:42.994854Z"},"content_sha256":"3986ce393930a07172e0a9dded494758b6bf820a23e8badee9d3e323b5a78013","schema_version":"1.0","event_id":"sha256:3986ce393930a07172e0a9dded494758b6bf820a23e8badee9d3e323b5a78013"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2ZWEMTQZZIBJHF4JGVNUOKIIAG/bundle.json","state_url":"https://pith.science/pith/2ZWEMTQZZIBJHF4JGVNUOKIIAG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2ZWEMTQZZIBJHF4JGVNUOKIIAG/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-05T11:02:42Z","links":{"resolver":"https://pith.science/pith/2ZWEMTQZZIBJHF4JGVNUOKIIAG","bundle":"https://pith.science/pith/2ZWEMTQZZIBJHF4JGVNUOKIIAG/bundle.json","state":"https://pith.science/pith/2ZWEMTQZZIBJHF4JGVNUOKIIAG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2ZWEMTQZZIBJHF4JGVNUOKIIAG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:2ZWEMTQZZIBJHF4JGVNUOKIIAG","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":"c55679d04f58a8a92da75f9674c126b44c555c0cf0c92088165d2f4b716fa49b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-08-02T14:21:44Z","title_canon_sha256":"d97ed0391a49dea0c910cea27928161209c4358e6265fe608213aeae78ea3a6f"},"schema_version":"1.0","source":{"id":"1308.0509","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.0509","created_at":"2026-05-18T02:18:52Z"},{"alias_kind":"arxiv_version","alias_value":"1308.0509v3","created_at":"2026-05-18T02:18:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.0509","created_at":"2026-05-18T02:18:52Z"},{"alias_kind":"pith_short_12","alias_value":"2ZWEMTQZZIBJ","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"2ZWEMTQZZIBJHF4J","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"2ZWEMTQZ","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:3986ce393930a07172e0a9dded494758b6bf820a23e8badee9d3e323b5a78013","target":"graph","created_at":"2026-05-18T02:18:52Z","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 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","authors_text":"Masahiko Egami, Tadao Oryu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-08-02T14:21:44Z","title":"Optimal Stopping When the Absorbing Boundary is Following After"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.0509","kind":"arxiv","version":3},"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":"sha256:1d642f63106da92d0d97807786d4b0e91fded49f4b5cc1ff513b78e6c5d6ebe2","target":"record","created_at":"2026-05-18T02:18:52Z","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":"c55679d04f58a8a92da75f9674c126b44c555c0cf0c92088165d2f4b716fa49b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-08-02T14:21:44Z","title_canon_sha256":"d97ed0391a49dea0c910cea27928161209c4358e6265fe608213aeae78ea3a6f"},"schema_version":"1.0","source":{"id":"1308.0509","kind":"arxiv","version":3}},"canonical_sha256":"d66c464e19ca02939789355b47290801b5ea50f3052f743fa6ed37f995c846a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d66c464e19ca02939789355b47290801b5ea50f3052f743fa6ed37f995c846a5","first_computed_at":"2026-05-18T02:18:52.018666Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:52.018666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e8voEUZF1RhEKaiWVlJB9KxUIIRM4oxf3eLr/+Oier3sDuvP4MGCYLzFQPJ5Lwtfd8O26UJp7g6me1yopnG5Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:52.019269Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.0509","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1d642f63106da92d0d97807786d4b0e91fded49f4b5cc1ff513b78e6c5d6ebe2","sha256:3986ce393930a07172e0a9dded494758b6bf820a23e8badee9d3e323b5a78013"],"state_sha256":"aa0eb3112200fd9139ace37385dff83294a6a1b89714bbb02090216154c60aa8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dWni/it2IBen5jGsM3eOrFv3nEuQttgAJqjf5VBQiiGAT9vGmZXeKXY6x+koCfrtSxh18DWe7qHzNh3Mrq0rBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T11:02:42.996968Z","bundle_sha256":"e768b71cf0946611d664cfb0c50d1e5bc3b19f31baf055dc2e9148b5ec04eaa0"}}