{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:ENVXDJUGX7YPLUYKAWTBZHXVWT","short_pith_number":"pith:ENVXDJUG","canonical_record":{"source":{"id":"1112.5304","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-12-22T13:27:06Z","cross_cats_sorted":["physics.comp-ph","stat.CO"],"title_canon_sha256":"114666ba264ff54c555d191356fcd3a385bffdbff51f6c744062a7bfb2e1dd96","abstract_canon_sha256":"8a366df0404259268e69f1b5318b83b8e7c1157189f2bb9f340f0b616120b834"},"schema_version":"1.0"},"canonical_sha256":"236b71a686bff0f5d30a05a61c9ef5b4c2f3a5a2fa67c95baf3447b071883cb9","source":{"kind":"arxiv","id":"1112.5304","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.5304","created_at":"2026-05-18T03:51:47Z"},{"alias_kind":"arxiv_version","alias_value":"1112.5304v2","created_at":"2026-05-18T03:51:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.5304","created_at":"2026-05-18T03:51:47Z"},{"alias_kind":"pith_short_12","alias_value":"ENVXDJUGX7YP","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"ENVXDJUGX7YPLUYK","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"ENVXDJUG","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:ENVXDJUGX7YPLUYKAWTBZHXVWT","target":"record","payload":{"canonical_record":{"source":{"id":"1112.5304","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-12-22T13:27:06Z","cross_cats_sorted":["physics.comp-ph","stat.CO"],"title_canon_sha256":"114666ba264ff54c555d191356fcd3a385bffdbff51f6c744062a7bfb2e1dd96","abstract_canon_sha256":"8a366df0404259268e69f1b5318b83b8e7c1157189f2bb9f340f0b616120b834"},"schema_version":"1.0"},"canonical_sha256":"236b71a686bff0f5d30a05a61c9ef5b4c2f3a5a2fa67c95baf3447b071883cb9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:51:47.179898Z","signature_b64":"J43YN00N8n+K2dvTxOATyRc3F5imL+iAOJ+R6nSowe6JJWYGWVekPInh6dWzBlLDyRhqi3FBXNWkCiXHkzBzDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"236b71a686bff0f5d30a05a61c9ef5b4c2f3a5a2fa67c95baf3447b071883cb9","last_reissued_at":"2026-05-18T03:51:47.179288Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:51:47.179288Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.5304","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:51:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wTBkUiA027xLKF2biEnheQKWosOIKFVFCiWu8bLRub+F7WNy1x36Pa+VB2NTiW9tO7XtOHZrSCh57TufOKrQDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T10:38:21.423646Z"},"content_sha256":"076859ba54d57830b6525887f21043864ff4d1bdc74d66b394bfa744a5c830d3","schema_version":"1.0","event_id":"sha256:076859ba54d57830b6525887f21043864ff4d1bdc74d66b394bfa744a5c830d3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:ENVXDJUGX7YPLUYKAWTBZHXVWT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Mechanistic Dynamic Emulator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph","stat.CO"],"primary_cat":"stat.ME","authors_text":"Carlo Albert","submitted_at":"2011-12-22T13:27:06Z","abstract_excerpt":"In applied sciences, we often deal with deterministic simulation models that are too slow for simulation-intensive tasks such as calibration or real-time control. In this paper, an emulator for a generic dynamic model, given by a system of ordinary non-linear differential equations, is developed. The non-linear differential equations are linearized and Gaussian white noise is added to account for the non-linearities. The resulting linear stochastic system is conditioned on a set of solutions of the non-linear equations that have been calculated prior to the emulation. A path-integral approach "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.5304","kind":"arxiv","version":2},"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":"2026-05-18T03:51:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KCAkac/9x6liFAGVc/uyPUwE14Nb2VqN/fASFCW0aUmcHFvgQr5E4KF7tiu92ycgHS/xE2A3opW2LiVq9t7xBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T10:38:21.424004Z"},"content_sha256":"f653ef69411704eb9a06b47fb4fa46904b46cd892edb3e588cb965de96f74577","schema_version":"1.0","event_id":"sha256:f653ef69411704eb9a06b47fb4fa46904b46cd892edb3e588cb965de96f74577"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ENVXDJUGX7YPLUYKAWTBZHXVWT/bundle.json","state_url":"https://pith.science/pith/ENVXDJUGX7YPLUYKAWTBZHXVWT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ENVXDJUGX7YPLUYKAWTBZHXVWT/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":"2026-06-02T10:38:21Z","links":{"resolver":"https://pith.science/pith/ENVXDJUGX7YPLUYKAWTBZHXVWT","bundle":"https://pith.science/pith/ENVXDJUGX7YPLUYKAWTBZHXVWT/bundle.json","state":"https://pith.science/pith/ENVXDJUGX7YPLUYKAWTBZHXVWT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ENVXDJUGX7YPLUYKAWTBZHXVWT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:ENVXDJUGX7YPLUYKAWTBZHXVWT","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":"8a366df0404259268e69f1b5318b83b8e7c1157189f2bb9f340f0b616120b834","cross_cats_sorted":["physics.comp-ph","stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-12-22T13:27:06Z","title_canon_sha256":"114666ba264ff54c555d191356fcd3a385bffdbff51f6c744062a7bfb2e1dd96"},"schema_version":"1.0","source":{"id":"1112.5304","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.5304","created_at":"2026-05-18T03:51:47Z"},{"alias_kind":"arxiv_version","alias_value":"1112.5304v2","created_at":"2026-05-18T03:51:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.5304","created_at":"2026-05-18T03:51:47Z"},{"alias_kind":"pith_short_12","alias_value":"ENVXDJUGX7YP","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"ENVXDJUGX7YPLUYK","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"ENVXDJUG","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:f653ef69411704eb9a06b47fb4fa46904b46cd892edb3e588cb965de96f74577","target":"graph","created_at":"2026-05-18T03:51:47Z","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":"In applied sciences, we often deal with deterministic simulation models that are too slow for simulation-intensive tasks such as calibration or real-time control. In this paper, an emulator for a generic dynamic model, given by a system of ordinary non-linear differential equations, is developed. The non-linear differential equations are linearized and Gaussian white noise is added to account for the non-linearities. The resulting linear stochastic system is conditioned on a set of solutions of the non-linear equations that have been calculated prior to the emulation. A path-integral approach ","authors_text":"Carlo Albert","cross_cats":["physics.comp-ph","stat.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-12-22T13:27:06Z","title":"A Mechanistic Dynamic Emulator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.5304","kind":"arxiv","version":2},"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":"sha256:076859ba54d57830b6525887f21043864ff4d1bdc74d66b394bfa744a5c830d3","target":"record","created_at":"2026-05-18T03:51:47Z","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":"8a366df0404259268e69f1b5318b83b8e7c1157189f2bb9f340f0b616120b834","cross_cats_sorted":["physics.comp-ph","stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-12-22T13:27:06Z","title_canon_sha256":"114666ba264ff54c555d191356fcd3a385bffdbff51f6c744062a7bfb2e1dd96"},"schema_version":"1.0","source":{"id":"1112.5304","kind":"arxiv","version":2}},"canonical_sha256":"236b71a686bff0f5d30a05a61c9ef5b4c2f3a5a2fa67c95baf3447b071883cb9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"236b71a686bff0f5d30a05a61c9ef5b4c2f3a5a2fa67c95baf3447b071883cb9","first_computed_at":"2026-05-18T03:51:47.179288Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:51:47.179288Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J43YN00N8n+K2dvTxOATyRc3F5imL+iAOJ+R6nSowe6JJWYGWVekPInh6dWzBlLDyRhqi3FBXNWkCiXHkzBzDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:51:47.179898Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.5304","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:076859ba54d57830b6525887f21043864ff4d1bdc74d66b394bfa744a5c830d3","sha256:f653ef69411704eb9a06b47fb4fa46904b46cd892edb3e588cb965de96f74577"],"state_sha256":"ff12ad1c49cca4d85c8bf99a4e717b4c9ff3c620ea58f09dac165d171b3ba010"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kOgljHwovfeEq45beBeXZ9ewrzALfyxhxxdQApXIzqkhUyc2mJAhgiR6hMjnbjClHwlJNIVRCx6avAS6MfCNAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T10:38:21.426140Z","bundle_sha256":"4a6b51cfd74a772988d38149d7da2c1a9f2d7a8e89f54e99837917871f74c82b"}}