{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:IFI2RMBHTCL4X646FI4WGKPLNR","short_pith_number":"pith:IFI2RMBH","schema_version":"1.0","canonical_sha256":"4151a8b0279897cbfb9e2a396329eb6c60fc913c0527b25c5b5ac93d08eeaacd","source":{"kind":"arxiv","id":"1112.2537","version":3},"attestation_state":"computed","paper":{"title":"Minimal elements of stopping time $\\sigma$-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Tom Fischer","submitted_at":"2011-12-12T12:57:30Z","abstract_excerpt":"We show how minimal elements of a stopping time $\\sigma$-algebra can be expressed in terms of the minimal elements of the $\\sigma$-algebra of the underlying filtration. This facilitates an intuitive interpretation of stopping time $\\sigma$-algebras. An example is provided."},"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":"1112.2537","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-12-12T12:57:30Z","cross_cats_sorted":[],"title_canon_sha256":"8a0eef61fc38673a091db84c266a6f3930bd9a617115ca5426b1890c10587367","abstract_canon_sha256":"298c194e8b4f1971988294b77a1f228b6b3fd5e9a407ea822c00580d0965ad35"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:28:29.597468Z","signature_b64":"e/9DZ0S4b7hQSFrfS0JZoliLGp4yFeAMHQAp5dLF3zegMwxFSNd/85L6Q/GhzpfjwWgTNtY5KP9IBif+hSuVAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4151a8b0279897cbfb9e2a396329eb6c60fc913c0527b25c5b5ac93d08eeaacd","last_reissued_at":"2026-05-18T02:28:29.596950Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:28:29.596950Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Minimal elements of stopping time $\\sigma$-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Tom Fischer","submitted_at":"2011-12-12T12:57:30Z","abstract_excerpt":"We show how minimal elements of a stopping time $\\sigma$-algebra can be expressed in terms of the minimal elements of the $\\sigma$-algebra of the underlying filtration. This facilitates an intuitive interpretation of stopping time $\\sigma$-algebras. An example is provided."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.2537","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":"1112.2537","created_at":"2026-05-18T02:28:29.597029+00:00"},{"alias_kind":"arxiv_version","alias_value":"1112.2537v3","created_at":"2026-05-18T02:28:29.597029+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.2537","created_at":"2026-05-18T02:28:29.597029+00:00"},{"alias_kind":"pith_short_12","alias_value":"IFI2RMBHTCL4","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_16","alias_value":"IFI2RMBHTCL4X646","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_8","alias_value":"IFI2RMBH","created_at":"2026-05-18T12:26:30.835961+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/IFI2RMBHTCL4X646FI4WGKPLNR","json":"https://pith.science/pith/IFI2RMBHTCL4X646FI4WGKPLNR.json","graph_json":"https://pith.science/api/pith-number/IFI2RMBHTCL4X646FI4WGKPLNR/graph.json","events_json":"https://pith.science/api/pith-number/IFI2RMBHTCL4X646FI4WGKPLNR/events.json","paper":"https://pith.science/paper/IFI2RMBH"},"agent_actions":{"view_html":"https://pith.science/pith/IFI2RMBHTCL4X646FI4WGKPLNR","download_json":"https://pith.science/pith/IFI2RMBHTCL4X646FI4WGKPLNR.json","view_paper":"https://pith.science/paper/IFI2RMBH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1112.2537&json=true","fetch_graph":"https://pith.science/api/pith-number/IFI2RMBHTCL4X646FI4WGKPLNR/graph.json","fetch_events":"https://pith.science/api/pith-number/IFI2RMBHTCL4X646FI4WGKPLNR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IFI2RMBHTCL4X646FI4WGKPLNR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IFI2RMBHTCL4X646FI4WGKPLNR/action/storage_attestation","attest_author":"https://pith.science/pith/IFI2RMBHTCL4X646FI4WGKPLNR/action/author_attestation","sign_citation":"https://pith.science/pith/IFI2RMBHTCL4X646FI4WGKPLNR/action/citation_signature","submit_replication":"https://pith.science/pith/IFI2RMBHTCL4X646FI4WGKPLNR/action/replication_record"}},"created_at":"2026-05-18T02:28:29.597029+00:00","updated_at":"2026-05-18T02:28:29.597029+00:00"}