{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:Y6LZRGPISREHJ3VZ4FGK2ZECYC","short_pith_number":"pith:Y6LZRGPI","canonical_record":{"source":{"id":"1502.06342","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-02-23T08:37:38Z","cross_cats_sorted":[],"title_canon_sha256":"0a7fd70b372fb8242f90b5d3690e56a695ff23f97f309fdd8ca57ce608d91568","abstract_canon_sha256":"055b306a275974ccfda31b22018536f990039ec165864e5562573ed5abf182ef"},"schema_version":"1.0"},"canonical_sha256":"c7979899e8944874eeb9e14cad6482c093769c116bfb9fdb8642560ab9bc8552","source":{"kind":"arxiv","id":"1502.06342","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.06342","created_at":"2026-05-18T01:25:55Z"},{"alias_kind":"arxiv_version","alias_value":"1502.06342v3","created_at":"2026-05-18T01:25:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.06342","created_at":"2026-05-18T01:25:55Z"},{"alias_kind":"pith_short_12","alias_value":"Y6LZRGPISREH","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"Y6LZRGPISREHJ3VZ","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"Y6LZRGPI","created_at":"2026-05-18T12:29:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:Y6LZRGPISREHJ3VZ4FGK2ZECYC","target":"record","payload":{"canonical_record":{"source":{"id":"1502.06342","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-02-23T08:37:38Z","cross_cats_sorted":[],"title_canon_sha256":"0a7fd70b372fb8242f90b5d3690e56a695ff23f97f309fdd8ca57ce608d91568","abstract_canon_sha256":"055b306a275974ccfda31b22018536f990039ec165864e5562573ed5abf182ef"},"schema_version":"1.0"},"canonical_sha256":"c7979899e8944874eeb9e14cad6482c093769c116bfb9fdb8642560ab9bc8552","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:25:55.488408Z","signature_b64":"F/OGVXiLZXRu+7n2Qd7aYlZJZAdbptQ16xmbq+K+IP2I73pFA9PYvOa9BlafMUTsDdyRd1k0jfQ5MShIba8WAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c7979899e8944874eeb9e14cad6482c093769c116bfb9fdb8642560ab9bc8552","last_reissued_at":"2026-05-18T01:25:55.487735Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:25:55.487735Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.06342","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":"2026-05-18T01:25:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gRK+Nt5X6tX/JBzsehYZXCzFvVxrc8xwbK9wYye0WY3anByzektAepe35Nj9fJ5F5LPknwNWamlODNap5JVuDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T17:41:16.276979Z"},"content_sha256":"fe5cb2cee6d9256b6612d8352c429882d87a1c1cb3e466ae2113295f5d293f84","schema_version":"1.0","event_id":"sha256:fe5cb2cee6d9256b6612d8352c429882d87a1c1cb3e466ae2113295f5d293f84"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:Y6LZRGPISREHJ3VZ4FGK2ZECYC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Large Deviations for processes on half-line","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"A.A. Mogulski, A.V. Logachov, F.C. Klebaner","submitted_at":"2015-02-23T08:37:38Z","abstract_excerpt":"We consider a sequence of processes defined on half-line for all non negative t. We give sufficient conditions for Large Deviation Principle (LDP) to hold in the space of continuous functions with a new metric that is more sensitive to behaviour at infinity than the uniform metric. LDP is established for Random Walks, Diffusions, and CEV model of ruin, all defined on the half-line. LDP in this space is \"more precise\" than that with the usual metric of uniform convergence on compacts."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.06342","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":"2026-05-18T01:25:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D6Cnppgihr3xpcnDMz/93C6hMnAuTIcJ2Mc52Qg5p32PVwg61FCrNYkAUIisgGNYb/7tzqBZmVgB7zHF/vE0Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T17:41:16.277722Z"},"content_sha256":"dcb19570916d52d8456f0e8172e6f58e774fda9a11e8a1d744dda3ee591ae2c6","schema_version":"1.0","event_id":"sha256:dcb19570916d52d8456f0e8172e6f58e774fda9a11e8a1d744dda3ee591ae2c6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y6LZRGPISREHJ3VZ4FGK2ZECYC/bundle.json","state_url":"https://pith.science/pith/Y6LZRGPISREHJ3VZ4FGK2ZECYC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y6LZRGPISREHJ3VZ4FGK2ZECYC/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":"2026-06-10T17:41:16Z","links":{"resolver":"https://pith.science/pith/Y6LZRGPISREHJ3VZ4FGK2ZECYC","bundle":"https://pith.science/pith/Y6LZRGPISREHJ3VZ4FGK2ZECYC/bundle.json","state":"https://pith.science/pith/Y6LZRGPISREHJ3VZ4FGK2ZECYC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y6LZRGPISREHJ3VZ4FGK2ZECYC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:Y6LZRGPISREHJ3VZ4FGK2ZECYC","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":"055b306a275974ccfda31b22018536f990039ec165864e5562573ed5abf182ef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-02-23T08:37:38Z","title_canon_sha256":"0a7fd70b372fb8242f90b5d3690e56a695ff23f97f309fdd8ca57ce608d91568"},"schema_version":"1.0","source":{"id":"1502.06342","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.06342","created_at":"2026-05-18T01:25:55Z"},{"alias_kind":"arxiv_version","alias_value":"1502.06342v3","created_at":"2026-05-18T01:25:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.06342","created_at":"2026-05-18T01:25:55Z"},{"alias_kind":"pith_short_12","alias_value":"Y6LZRGPISREH","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"Y6LZRGPISREHJ3VZ","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"Y6LZRGPI","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:dcb19570916d52d8456f0e8172e6f58e774fda9a11e8a1d744dda3ee591ae2c6","target":"graph","created_at":"2026-05-18T01:25:55Z","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 sequence of processes defined on half-line for all non negative t. We give sufficient conditions for Large Deviation Principle (LDP) to hold in the space of continuous functions with a new metric that is more sensitive to behaviour at infinity than the uniform metric. LDP is established for Random Walks, Diffusions, and CEV model of ruin, all defined on the half-line. LDP in this space is \"more precise\" than that with the usual metric of uniform convergence on compacts.","authors_text":"A.A. Mogulski, A.V. Logachov, F.C. Klebaner","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-02-23T08:37:38Z","title":"Large Deviations for processes on half-line"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.06342","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:fe5cb2cee6d9256b6612d8352c429882d87a1c1cb3e466ae2113295f5d293f84","target":"record","created_at":"2026-05-18T01:25:55Z","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":"055b306a275974ccfda31b22018536f990039ec165864e5562573ed5abf182ef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-02-23T08:37:38Z","title_canon_sha256":"0a7fd70b372fb8242f90b5d3690e56a695ff23f97f309fdd8ca57ce608d91568"},"schema_version":"1.0","source":{"id":"1502.06342","kind":"arxiv","version":3}},"canonical_sha256":"c7979899e8944874eeb9e14cad6482c093769c116bfb9fdb8642560ab9bc8552","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c7979899e8944874eeb9e14cad6482c093769c116bfb9fdb8642560ab9bc8552","first_computed_at":"2026-05-18T01:25:55.487735Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:25:55.487735Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F/OGVXiLZXRu+7n2Qd7aYlZJZAdbptQ16xmbq+K+IP2I73pFA9PYvOa9BlafMUTsDdyRd1k0jfQ5MShIba8WAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:25:55.488408Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.06342","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe5cb2cee6d9256b6612d8352c429882d87a1c1cb3e466ae2113295f5d293f84","sha256:dcb19570916d52d8456f0e8172e6f58e774fda9a11e8a1d744dda3ee591ae2c6"],"state_sha256":"c898963a37ca537c8ed4d1edf4323af17616d9f54e2be1679ded47311c611453"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L2fbn13TK3ILnbPoVmF+fLt9WCTDrAM5djIxcbL7kgx5OrOan8L8F/Ik8Xkk+MwPoyqweqKZ5lSzGseiwdPeBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T17:41:16.281453Z","bundle_sha256":"45402392fe03860f745eeb0dde5ba00f8d6c66e47f919d74e81704a1823cc0f1"}}