{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:PWBRG4YPHNTYZOJH2KXVVGEZRK","short_pith_number":"pith:PWBRG4YP","canonical_record":{"source":{"id":"1801.05952","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-01-18T06:35:12Z","cross_cats_sorted":[],"title_canon_sha256":"c4214ae17c3b8e670d20c45ce093f0a1cd5da7c1b14540aa271d66d28c54bcdc","abstract_canon_sha256":"8967fe870a5d366921d1155e1f1e539a3aba0cbdee54714a40eed305b135f81b"},"schema_version":"1.0"},"canonical_sha256":"7d8313730f3b678cb927d2af5a98998a991dc3b778c54cf894862e304654549f","source":{"kind":"arxiv","id":"1801.05952","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.05952","created_at":"2026-05-18T00:25:35Z"},{"alias_kind":"arxiv_version","alias_value":"1801.05952v1","created_at":"2026-05-18T00:25:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.05952","created_at":"2026-05-18T00:25:35Z"},{"alias_kind":"pith_short_12","alias_value":"PWBRG4YPHNTY","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"PWBRG4YPHNTYZOJH","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"PWBRG4YP","created_at":"2026-05-18T12:32:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:PWBRG4YPHNTYZOJH2KXVVGEZRK","target":"record","payload":{"canonical_record":{"source":{"id":"1801.05952","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-01-18T06:35:12Z","cross_cats_sorted":[],"title_canon_sha256":"c4214ae17c3b8e670d20c45ce093f0a1cd5da7c1b14540aa271d66d28c54bcdc","abstract_canon_sha256":"8967fe870a5d366921d1155e1f1e539a3aba0cbdee54714a40eed305b135f81b"},"schema_version":"1.0"},"canonical_sha256":"7d8313730f3b678cb927d2af5a98998a991dc3b778c54cf894862e304654549f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:35.993877Z","signature_b64":"76lq5DfM1hCkP+FfgxeiJhsTAl6wHWsLYQRWGevx5NBKu3OI2+G2hCkWd1XzX0JIimRV5/E+G4I9jjZvGk8+AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7d8313730f3b678cb927d2af5a98998a991dc3b778c54cf894862e304654549f","last_reissued_at":"2026-05-18T00:25:35.993112Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:35.993112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.05952","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":"2026-05-18T00:25:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RSRUa92tXEa3MQ/S9kr+PHe/etJiPbYFb5uJIVHTkpvSsbDFliEyeX/KZ8QsgxAvTpoauy01s1x6R185/pUwBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T01:07:43.178248Z"},"content_sha256":"751cd845901917d3b9d67a252e8ffde9e3fa1ea0066a86268892bb63fb74227a","schema_version":"1.0","event_id":"sha256:751cd845901917d3b9d67a252e8ffde9e3fa1ea0066a86268892bb63fb74227a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:PWBRG4YPHNTYZOJH2KXVVGEZRK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Convergence rates of truncated EM scheme for NSDDEs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Chenggui Yuan, Li Tan","submitted_at":"2018-01-18T06:35:12Z","abstract_excerpt":"This paper is concerned with strong convergence of the truncated Euler-Maruyama scheme for neutral stochastic differential delay equations driven by Brownian motion and pure jumps respectively. Under local Lipschitz condition, convergence rates of the truncated EM scheme are given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.05952","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":"2026-05-18T00:25:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7TV3//bOQCMs3hcciPtAleEayqWG9eWlRPdoVyQEUNVbqL4RB76DThokcmEZy3SSPU++/8I8UUt2bgCA1POYAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T01:07:43.179012Z"},"content_sha256":"c44ee8b01f4cc12e721a26354cedb124a98ef9f4588e2311aeae2415b505e4e7","schema_version":"1.0","event_id":"sha256:c44ee8b01f4cc12e721a26354cedb124a98ef9f4588e2311aeae2415b505e4e7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PWBRG4YPHNTYZOJH2KXVVGEZRK/bundle.json","state_url":"https://pith.science/pith/PWBRG4YPHNTYZOJH2KXVVGEZRK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PWBRG4YPHNTYZOJH2KXVVGEZRK/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":"2026-06-11T01:07:43Z","links":{"resolver":"https://pith.science/pith/PWBRG4YPHNTYZOJH2KXVVGEZRK","bundle":"https://pith.science/pith/PWBRG4YPHNTYZOJH2KXVVGEZRK/bundle.json","state":"https://pith.science/pith/PWBRG4YPHNTYZOJH2KXVVGEZRK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PWBRG4YPHNTYZOJH2KXVVGEZRK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:PWBRG4YPHNTYZOJH2KXVVGEZRK","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":"8967fe870a5d366921d1155e1f1e539a3aba0cbdee54714a40eed305b135f81b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-01-18T06:35:12Z","title_canon_sha256":"c4214ae17c3b8e670d20c45ce093f0a1cd5da7c1b14540aa271d66d28c54bcdc"},"schema_version":"1.0","source":{"id":"1801.05952","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.05952","created_at":"2026-05-18T00:25:35Z"},{"alias_kind":"arxiv_version","alias_value":"1801.05952v1","created_at":"2026-05-18T00:25:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.05952","created_at":"2026-05-18T00:25:35Z"},{"alias_kind":"pith_short_12","alias_value":"PWBRG4YPHNTY","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"PWBRG4YPHNTYZOJH","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"PWBRG4YP","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:c44ee8b01f4cc12e721a26354cedb124a98ef9f4588e2311aeae2415b505e4e7","target":"graph","created_at":"2026-05-18T00:25:35Z","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":"This paper is concerned with strong convergence of the truncated Euler-Maruyama scheme for neutral stochastic differential delay equations driven by Brownian motion and pure jumps respectively. Under local Lipschitz condition, convergence rates of the truncated EM scheme are given.","authors_text":"Chenggui Yuan, Li Tan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-01-18T06:35:12Z","title":"Convergence rates of truncated EM scheme for NSDDEs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.05952","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":"sha256:751cd845901917d3b9d67a252e8ffde9e3fa1ea0066a86268892bb63fb74227a","target":"record","created_at":"2026-05-18T00:25:35Z","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":"8967fe870a5d366921d1155e1f1e539a3aba0cbdee54714a40eed305b135f81b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-01-18T06:35:12Z","title_canon_sha256":"c4214ae17c3b8e670d20c45ce093f0a1cd5da7c1b14540aa271d66d28c54bcdc"},"schema_version":"1.0","source":{"id":"1801.05952","kind":"arxiv","version":1}},"canonical_sha256":"7d8313730f3b678cb927d2af5a98998a991dc3b778c54cf894862e304654549f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d8313730f3b678cb927d2af5a98998a991dc3b778c54cf894862e304654549f","first_computed_at":"2026-05-18T00:25:35.993112Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:35.993112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"76lq5DfM1hCkP+FfgxeiJhsTAl6wHWsLYQRWGevx5NBKu3OI2+G2hCkWd1XzX0JIimRV5/E+G4I9jjZvGk8+AA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:35.993877Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.05952","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:751cd845901917d3b9d67a252e8ffde9e3fa1ea0066a86268892bb63fb74227a","sha256:c44ee8b01f4cc12e721a26354cedb124a98ef9f4588e2311aeae2415b505e4e7"],"state_sha256":"5b030dc816f01619df3c0a69836e0a8008b41cc015f65d27e14e20f2cdeb55f4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MKW3YAboQl0+mhdN6kzOvOXM1XCpUyJaW/X22YVtlbXtVGW6UytwMU/r8pYuB4BSu+QOs9ci4v3Tc/QIKiHuCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T01:07:43.183467Z","bundle_sha256":"9f4033bc5a4382f13acb09f66142a6f4b9ccabbbc03e320edc9dd19148909b0a"}}