{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:2B2VQ5A6AAUOCHSZUPP2DNWOOE","short_pith_number":"pith:2B2VQ5A6","canonical_record":{"source":{"id":"1408.1188","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-08-06T05:23:15Z","cross_cats_sorted":[],"title_canon_sha256":"d69c6acaebab7180b1e7a0c208417a04429c00f4d663548ce0377414ca5e6eb5","abstract_canon_sha256":"41f8d79ddd4ecf3c8e9f04edeff2f9692e1981ea2f578af59bd072e63b5c088a"},"schema_version":"1.0"},"canonical_sha256":"d07558741e0028e11e59a3dfa1b6ce710574568e007fbf4651f0585c22fe280b","source":{"kind":"arxiv","id":"1408.1188","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.1188","created_at":"2026-05-18T02:45:47Z"},{"alias_kind":"arxiv_version","alias_value":"1408.1188v1","created_at":"2026-05-18T02:45:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.1188","created_at":"2026-05-18T02:45:47Z"},{"alias_kind":"pith_short_12","alias_value":"2B2VQ5A6AAUO","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"2B2VQ5A6AAUOCHSZ","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"2B2VQ5A6","created_at":"2026-05-18T12:28:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:2B2VQ5A6AAUOCHSZUPP2DNWOOE","target":"record","payload":{"canonical_record":{"source":{"id":"1408.1188","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-08-06T05:23:15Z","cross_cats_sorted":[],"title_canon_sha256":"d69c6acaebab7180b1e7a0c208417a04429c00f4d663548ce0377414ca5e6eb5","abstract_canon_sha256":"41f8d79ddd4ecf3c8e9f04edeff2f9692e1981ea2f578af59bd072e63b5c088a"},"schema_version":"1.0"},"canonical_sha256":"d07558741e0028e11e59a3dfa1b6ce710574568e007fbf4651f0585c22fe280b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:45:47.974893Z","signature_b64":"rleO8BnN0WbCZcT4/YZ87KXSj09dXa/ClkrjEbOjFqrBw4qQnJ3ZWveWC5N4rl68T5arGb6fryDO3qDk1gmwBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d07558741e0028e11e59a3dfa1b6ce710574568e007fbf4651f0585c22fe280b","last_reissued_at":"2026-05-18T02:45:47.974380Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:45:47.974380Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1408.1188","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":"2026-05-18T02:45:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TcuCg8u0hJCzbEwV9IDyL+YMhYG/GUQceCDc8WOn0sq3mVu8Zeda5nTOdzO1NxYEFU4eW0DK1/VMSmWQdu1FAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T01:13:10.193352Z"},"content_sha256":"22a8a0a85349898356a76ef0641fbb3c2fe27a67a30049bf5ccadeb59b8d4425","schema_version":"1.0","event_id":"sha256:22a8a0a85349898356a76ef0641fbb3c2fe27a67a30049bf5ccadeb59b8d4425"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:2B2VQ5A6AAUOCHSZUPP2DNWOOE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Kurzweil-Henstock integral in probability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Sorin G. Gal","submitted_at":"2014-08-06T05:23:15Z","abstract_excerpt":"By using the method in [5], the aim of the present note is to generalize the Riemann integral in probability introduced in [7], to Kurzweil-Henstock integral in probability. Properties of the new integral are proved."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.1188","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":"2026-05-18T02:45:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"usoB0aR+o0xnvhZdJWUppWxSchWeaT+UIzYaZOQKf/TnuI7hHm1qYm6tw6qqqLL4S58hyhI+LbOyV8B8tyVaDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T01:13:10.193696Z"},"content_sha256":"de8ddb8aa96b37b3892dc142e42e1834ee97cd610c73924abdccebe82c9d507d","schema_version":"1.0","event_id":"sha256:de8ddb8aa96b37b3892dc142e42e1834ee97cd610c73924abdccebe82c9d507d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2B2VQ5A6AAUOCHSZUPP2DNWOOE/bundle.json","state_url":"https://pith.science/pith/2B2VQ5A6AAUOCHSZUPP2DNWOOE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2B2VQ5A6AAUOCHSZUPP2DNWOOE/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":"2026-07-02T01:13:10Z","links":{"resolver":"https://pith.science/pith/2B2VQ5A6AAUOCHSZUPP2DNWOOE","bundle":"https://pith.science/pith/2B2VQ5A6AAUOCHSZUPP2DNWOOE/bundle.json","state":"https://pith.science/pith/2B2VQ5A6AAUOCHSZUPP2DNWOOE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2B2VQ5A6AAUOCHSZUPP2DNWOOE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:2B2VQ5A6AAUOCHSZUPP2DNWOOE","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":"41f8d79ddd4ecf3c8e9f04edeff2f9692e1981ea2f578af59bd072e63b5c088a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-08-06T05:23:15Z","title_canon_sha256":"d69c6acaebab7180b1e7a0c208417a04429c00f4d663548ce0377414ca5e6eb5"},"schema_version":"1.0","source":{"id":"1408.1188","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.1188","created_at":"2026-05-18T02:45:47Z"},{"alias_kind":"arxiv_version","alias_value":"1408.1188v1","created_at":"2026-05-18T02:45:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.1188","created_at":"2026-05-18T02:45:47Z"},{"alias_kind":"pith_short_12","alias_value":"2B2VQ5A6AAUO","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"2B2VQ5A6AAUOCHSZ","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"2B2VQ5A6","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:de8ddb8aa96b37b3892dc142e42e1834ee97cd610c73924abdccebe82c9d507d","target":"graph","created_at":"2026-05-18T02:45:47Z","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":"By using the method in [5], the aim of the present note is to generalize the Riemann integral in probability introduced in [7], to Kurzweil-Henstock integral in probability. Properties of the new integral are proved.","authors_text":"Sorin G. Gal","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-08-06T05:23:15Z","title":"On the Kurzweil-Henstock integral in probability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.1188","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":"sha256:22a8a0a85349898356a76ef0641fbb3c2fe27a67a30049bf5ccadeb59b8d4425","target":"record","created_at":"2026-05-18T02:45:47Z","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":"41f8d79ddd4ecf3c8e9f04edeff2f9692e1981ea2f578af59bd072e63b5c088a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-08-06T05:23:15Z","title_canon_sha256":"d69c6acaebab7180b1e7a0c208417a04429c00f4d663548ce0377414ca5e6eb5"},"schema_version":"1.0","source":{"id":"1408.1188","kind":"arxiv","version":1}},"canonical_sha256":"d07558741e0028e11e59a3dfa1b6ce710574568e007fbf4651f0585c22fe280b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d07558741e0028e11e59a3dfa1b6ce710574568e007fbf4651f0585c22fe280b","first_computed_at":"2026-05-18T02:45:47.974380Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:45:47.974380Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rleO8BnN0WbCZcT4/YZ87KXSj09dXa/ClkrjEbOjFqrBw4qQnJ3ZWveWC5N4rl68T5arGb6fryDO3qDk1gmwBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:45:47.974893Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.1188","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:22a8a0a85349898356a76ef0641fbb3c2fe27a67a30049bf5ccadeb59b8d4425","sha256:de8ddb8aa96b37b3892dc142e42e1834ee97cd610c73924abdccebe82c9d507d"],"state_sha256":"00dc16f980ef5a87c812c08bc0b0829fd6e889ea660393304afe6e9a06368a75"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gOZq+TeBzBOGjfURREmqoZxBa+8ee02be5/cJX16/kty4bb5conemD6pqssIkn54Pf+D+pF/2AFJzxaKLXaSBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T01:13:10.195631Z","bundle_sha256":"e5ad5fb3256e37aab64b3ee3038d97c087253e3903d397e8f6f22793bd6872f7"}}