{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:44FEBP5JSE4EG7IMC4QQIVL5WI","short_pith_number":"pith:44FEBP5J","canonical_record":{"source":{"id":"1101.5035","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-01-26T11:48:39Z","cross_cats_sorted":[],"title_canon_sha256":"4ed8b2cdcbe7e1d30077ff9f017bea8511288b509e84ab72418f053d3dcfc0b5","abstract_canon_sha256":"3c8aadf23b3f6ac96a364e037cc081d31bd413fccd5ffee52518df6d37d38741"},"schema_version":"1.0"},"canonical_sha256":"e70a40bfa99138437d0c172104557db20f02bdbcc0a5edc8d77bf21149607de7","source":{"kind":"arxiv","id":"1101.5035","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.5035","created_at":"2026-05-18T04:30:46Z"},{"alias_kind":"arxiv_version","alias_value":"1101.5035v1","created_at":"2026-05-18T04:30:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5035","created_at":"2026-05-18T04:30:46Z"},{"alias_kind":"pith_short_12","alias_value":"44FEBP5JSE4E","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"44FEBP5JSE4EG7IM","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"44FEBP5J","created_at":"2026-05-18T12:26:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:44FEBP5JSE4EG7IMC4QQIVL5WI","target":"record","payload":{"canonical_record":{"source":{"id":"1101.5035","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-01-26T11:48:39Z","cross_cats_sorted":[],"title_canon_sha256":"4ed8b2cdcbe7e1d30077ff9f017bea8511288b509e84ab72418f053d3dcfc0b5","abstract_canon_sha256":"3c8aadf23b3f6ac96a364e037cc081d31bd413fccd5ffee52518df6d37d38741"},"schema_version":"1.0"},"canonical_sha256":"e70a40bfa99138437d0c172104557db20f02bdbcc0a5edc8d77bf21149607de7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:30:46.968341Z","signature_b64":"bcxmQ0S2WgFV/GIAMF/a6VApogxACSvcCpxVtuxEJyAnBBs585PHbSbhdziQLQXH9puSouhtUmSseb6sdwP1Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e70a40bfa99138437d0c172104557db20f02bdbcc0a5edc8d77bf21149607de7","last_reissued_at":"2026-05-18T04:30:46.967764Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:30:46.967764Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1101.5035","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:30:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MbZfQ7VTXEnxzeaBmcjluWcieDVypOJr9CBB7QWkm2jplxo4TIY/yiVYeroRtrJtaUdABPu+h3jBelb3ZH38Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T06:48:22.522376Z"},"content_sha256":"969814ecb31e46276f53bcc983df6df3b6ca79834775066b2a7992e71e040d89","schema_version":"1.0","event_id":"sha256:969814ecb31e46276f53bcc983df6df3b6ca79834775066b2a7992e71e040d89"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:44FEBP5JSE4EG7IMC4QQIVL5WI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An optimal stopping problem for fragmentation processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Andreas E. Kyprianou, Juan Carlos Pardo","submitted_at":"2011-01-26T11:48:39Z","abstract_excerpt":"In this article we consider a toy example of an optimal stopping problem driven by fragmentation processes. We show that one can work with the concept of stopping lines to formulate the notion of an optimal stopping problem and moreover, to reduce it to a classical optimal stopping problem for a generalized Ornstein-Uhlenbeck process associated with Bertoin's tagged fragment. We go on to solve the latter using a classical verification technique thanks to the application of aspects of the modern theory of integrated exponential Levy processes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5035","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":""},"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":"2026-05-18T04:30:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/TLH3SvlWKCZNJD2oUrJ6LNrrMHOncsPAge8qEic1H9UKwBSctT2BicO2LI0o2OC3FupxtucNT/k1NOmBiLrCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T06:48:22.522939Z"},"content_sha256":"79514384db98f8c10972c077505ae4609b19c5d1c13ac2d599f95b6adab8ade4","schema_version":"1.0","event_id":"sha256:79514384db98f8c10972c077505ae4609b19c5d1c13ac2d599f95b6adab8ade4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/44FEBP5JSE4EG7IMC4QQIVL5WI/bundle.json","state_url":"https://pith.science/pith/44FEBP5JSE4EG7IMC4QQIVL5WI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/44FEBP5JSE4EG7IMC4QQIVL5WI/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":"2026-06-01T06:48:22Z","links":{"resolver":"https://pith.science/pith/44FEBP5JSE4EG7IMC4QQIVL5WI","bundle":"https://pith.science/pith/44FEBP5JSE4EG7IMC4QQIVL5WI/bundle.json","state":"https://pith.science/pith/44FEBP5JSE4EG7IMC4QQIVL5WI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/44FEBP5JSE4EG7IMC4QQIVL5WI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:44FEBP5JSE4EG7IMC4QQIVL5WI","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":"3c8aadf23b3f6ac96a364e037cc081d31bd413fccd5ffee52518df6d37d38741","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-01-26T11:48:39Z","title_canon_sha256":"4ed8b2cdcbe7e1d30077ff9f017bea8511288b509e84ab72418f053d3dcfc0b5"},"schema_version":"1.0","source":{"id":"1101.5035","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.5035","created_at":"2026-05-18T04:30:46Z"},{"alias_kind":"arxiv_version","alias_value":"1101.5035v1","created_at":"2026-05-18T04:30:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5035","created_at":"2026-05-18T04:30:46Z"},{"alias_kind":"pith_short_12","alias_value":"44FEBP5JSE4E","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"44FEBP5JSE4EG7IM","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"44FEBP5J","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:79514384db98f8c10972c077505ae4609b19c5d1c13ac2d599f95b6adab8ade4","target":"graph","created_at":"2026-05-18T04:30:46Z","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":"In this article we consider a toy example of an optimal stopping problem driven by fragmentation processes. We show that one can work with the concept of stopping lines to formulate the notion of an optimal stopping problem and moreover, to reduce it to a classical optimal stopping problem for a generalized Ornstein-Uhlenbeck process associated with Bertoin's tagged fragment. We go on to solve the latter using a classical verification technique thanks to the application of aspects of the modern theory of integrated exponential Levy processes.","authors_text":"Andreas E. Kyprianou, Juan Carlos Pardo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-01-26T11:48:39Z","title":"An optimal stopping problem for fragmentation processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5035","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":"sha256:969814ecb31e46276f53bcc983df6df3b6ca79834775066b2a7992e71e040d89","target":"record","created_at":"2026-05-18T04:30:46Z","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":"3c8aadf23b3f6ac96a364e037cc081d31bd413fccd5ffee52518df6d37d38741","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-01-26T11:48:39Z","title_canon_sha256":"4ed8b2cdcbe7e1d30077ff9f017bea8511288b509e84ab72418f053d3dcfc0b5"},"schema_version":"1.0","source":{"id":"1101.5035","kind":"arxiv","version":1}},"canonical_sha256":"e70a40bfa99138437d0c172104557db20f02bdbcc0a5edc8d77bf21149607de7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e70a40bfa99138437d0c172104557db20f02bdbcc0a5edc8d77bf21149607de7","first_computed_at":"2026-05-18T04:30:46.967764Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:30:46.967764Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bcxmQ0S2WgFV/GIAMF/a6VApogxACSvcCpxVtuxEJyAnBBs585PHbSbhdziQLQXH9puSouhtUmSseb6sdwP1Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:30:46.968341Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.5035","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:969814ecb31e46276f53bcc983df6df3b6ca79834775066b2a7992e71e040d89","sha256:79514384db98f8c10972c077505ae4609b19c5d1c13ac2d599f95b6adab8ade4"],"state_sha256":"d2b1f98b58ec9f893e1f00a52619de4de8344a6c917d0b492ad83feba200b3f5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GFFcVz5h2JuYqacOV6f3R29F1l+ayP0FiEpq6/DwUJN3YecADlw1nAW9gxMpM4l6bCnerbVmeVgtqdctRP22Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T06:48:22.525573Z","bundle_sha256":"936e17423d02bfcfcf36f57893ba3d1ea58de6defe4fec3e060ee921b7976749"}}