{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:WAMG6MPEUNFDKG75VISLPXP5SS","short_pith_number":"pith:WAMG6MPE","canonical_record":{"source":{"id":"1608.08028","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2016-08-29T12:43:42Z","cross_cats_sorted":[],"title_canon_sha256":"6173b948a11afb96c8d1ae2dbedd608cf7e071748b8cfd33854e7a84308edf7f","abstract_canon_sha256":"a30a85c6581a200f47d6145a01156742f47b164c73637a9e00653788ba78d3b7"},"schema_version":"1.0"},"canonical_sha256":"b0186f31e4a34a351bfdaa24b7ddfd94809b4d3545c6800e0c9bb5c66c9665ff","source":{"kind":"arxiv","id":"1608.08028","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.08028","created_at":"2026-07-05T04:52:20Z"},{"alias_kind":"arxiv_version","alias_value":"1608.08028v2","created_at":"2026-07-05T04:52:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.08028","created_at":"2026-07-05T04:52:20Z"},{"alias_kind":"pith_short_12","alias_value":"WAMG6MPEUNFD","created_at":"2026-07-05T04:52:20Z"},{"alias_kind":"pith_short_16","alias_value":"WAMG6MPEUNFDKG75","created_at":"2026-07-05T04:52:20Z"},{"alias_kind":"pith_short_8","alias_value":"WAMG6MPE","created_at":"2026-07-05T04:52:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:WAMG6MPEUNFDKG75VISLPXP5SS","target":"record","payload":{"canonical_record":{"source":{"id":"1608.08028","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2016-08-29T12:43:42Z","cross_cats_sorted":[],"title_canon_sha256":"6173b948a11afb96c8d1ae2dbedd608cf7e071748b8cfd33854e7a84308edf7f","abstract_canon_sha256":"a30a85c6581a200f47d6145a01156742f47b164c73637a9e00653788ba78d3b7"},"schema_version":"1.0"},"canonical_sha256":"b0186f31e4a34a351bfdaa24b7ddfd94809b4d3545c6800e0c9bb5c66c9665ff","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:52:20.882992Z","signature_b64":"A37+k6ARSJMFy0SpUy4Spk1ymO4to2csAoI+QjXxAhXDg/QUDPcirLBzbTc0C06DRnrPhV31xN+JvprAB98+Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b0186f31e4a34a351bfdaa24b7ddfd94809b4d3545c6800e0c9bb5c66c9665ff","last_reissued_at":"2026-07-05T04:52:20.882492Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:52:20.882492Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1608.08028","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":"2026-07-05T04:52:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2/0jPiFEy1GwYUOZH8P65lLjVNM/BIsF/DvobHrAIeXe7n8K4WteMKGWasU9OvgjoedoGHTTQhwMHzg+fBPuBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T00:18:51.446211Z"},"content_sha256":"59a3880c87256a8a721159ce4df8fbe60d4ce7092d8c9a148d33cf3c0b38db0d","schema_version":"1.0","event_id":"sha256:59a3880c87256a8a721159ce4df8fbe60d4ce7092d8c9a148d33cf3c0b38db0d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:WAMG6MPEUNFDKG75VISLPXP5SS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"From Deterministic ODEs to Dynamic Structural Causal Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.AI","authors_text":"Bernhard Schoelkopf, Joris M. Mooij, Paul K. Rubenstein, Stephan Bongers","submitted_at":"2016-08-29T12:43:42Z","abstract_excerpt":"Structural Causal Models are widely used in causal modelling, but how they relate to other modelling tools is poorly understood. In this paper we provide a novel perspective on the relationship between Ordinary Differential Equations and Structural Causal Models. We show how, under certain conditions, the asymptotic behaviour of an Ordinary Differential Equation under non-constant interventions can be modelled using Dynamic Structural Causal Models. In contrast to earlier work, we study not only the effect of interventions on equilibrium states; rather, we model asymptotic behaviour that is dy"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.08028","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1608.08028/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T04:52:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"npQHwxX5LxdbfDPF3rAHKGAtyJ0XNNsLp65InfczeJ1Dh/uJjJniOBzssWuaabDJVzdecxeUJIGLJth2Ca0oCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T00:18:51.446783Z"},"content_sha256":"4a9b04dfc6fd481e2ddc407be98e792c6023f65aa98f6ab0482e1fc92013d101","schema_version":"1.0","event_id":"sha256:4a9b04dfc6fd481e2ddc407be98e792c6023f65aa98f6ab0482e1fc92013d101"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WAMG6MPEUNFDKG75VISLPXP5SS/bundle.json","state_url":"https://pith.science/pith/WAMG6MPEUNFDKG75VISLPXP5SS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WAMG6MPEUNFDKG75VISLPXP5SS/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":"2026-08-10T00:18:51Z","links":{"resolver":"https://pith.science/pith/WAMG6MPEUNFDKG75VISLPXP5SS","bundle":"https://pith.science/pith/WAMG6MPEUNFDKG75VISLPXP5SS/bundle.json","state":"https://pith.science/pith/WAMG6MPEUNFDKG75VISLPXP5SS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WAMG6MPEUNFDKG75VISLPXP5SS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WAMG6MPEUNFDKG75VISLPXP5SS","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":"a30a85c6581a200f47d6145a01156742f47b164c73637a9e00653788ba78d3b7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2016-08-29T12:43:42Z","title_canon_sha256":"6173b948a11afb96c8d1ae2dbedd608cf7e071748b8cfd33854e7a84308edf7f"},"schema_version":"1.0","source":{"id":"1608.08028","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.08028","created_at":"2026-07-05T04:52:20Z"},{"alias_kind":"arxiv_version","alias_value":"1608.08028v2","created_at":"2026-07-05T04:52:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.08028","created_at":"2026-07-05T04:52:20Z"},{"alias_kind":"pith_short_12","alias_value":"WAMG6MPEUNFD","created_at":"2026-07-05T04:52:20Z"},{"alias_kind":"pith_short_16","alias_value":"WAMG6MPEUNFDKG75","created_at":"2026-07-05T04:52:20Z"},{"alias_kind":"pith_short_8","alias_value":"WAMG6MPE","created_at":"2026-07-05T04:52:20Z"}],"graph_snapshots":[{"event_id":"sha256:4a9b04dfc6fd481e2ddc407be98e792c6023f65aa98f6ab0482e1fc92013d101","target":"graph","created_at":"2026-07-05T04:52:20Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1608.08028/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Structural Causal Models are widely used in causal modelling, but how they relate to other modelling tools is poorly understood. In this paper we provide a novel perspective on the relationship between Ordinary Differential Equations and Structural Causal Models. We show how, under certain conditions, the asymptotic behaviour of an Ordinary Differential Equation under non-constant interventions can be modelled using Dynamic Structural Causal Models. In contrast to earlier work, we study not only the effect of interventions on equilibrium states; rather, we model asymptotic behaviour that is dy","authors_text":"Bernhard Schoelkopf, Joris M. Mooij, Paul K. Rubenstein, Stephan Bongers","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2016-08-29T12:43:42Z","title":"From Deterministic ODEs to Dynamic Structural Causal Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.08028","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":"sha256:59a3880c87256a8a721159ce4df8fbe60d4ce7092d8c9a148d33cf3c0b38db0d","target":"record","created_at":"2026-07-05T04:52:20Z","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":"a30a85c6581a200f47d6145a01156742f47b164c73637a9e00653788ba78d3b7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2016-08-29T12:43:42Z","title_canon_sha256":"6173b948a11afb96c8d1ae2dbedd608cf7e071748b8cfd33854e7a84308edf7f"},"schema_version":"1.0","source":{"id":"1608.08028","kind":"arxiv","version":2}},"canonical_sha256":"b0186f31e4a34a351bfdaa24b7ddfd94809b4d3545c6800e0c9bb5c66c9665ff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b0186f31e4a34a351bfdaa24b7ddfd94809b4d3545c6800e0c9bb5c66c9665ff","first_computed_at":"2026-07-05T04:52:20.882492Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:52:20.882492Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A37+k6ARSJMFy0SpUy4Spk1ymO4to2csAoI+QjXxAhXDg/QUDPcirLBzbTc0C06DRnrPhV31xN+JvprAB98+Bg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:52:20.882992Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.08028","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:59a3880c87256a8a721159ce4df8fbe60d4ce7092d8c9a148d33cf3c0b38db0d","sha256:4a9b04dfc6fd481e2ddc407be98e792c6023f65aa98f6ab0482e1fc92013d101"],"state_sha256":"401e631ad6563861a00f2d97e855a50db849eaef7caae400deb517ea6d22674c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CJPMsFuxNRTTi1iVd4FvFo1VkNdDY9l4b0cqua9q4my6BA4WMcFG5gwS34/NUHQmK0lCveUPg2uh1BSSmKFGBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T00:18:51.450484Z","bundle_sha256":"a195ec0bf5d4874b6e4225e4fc03d12a1813c54e946b8cc35f7d5432111caf3d"}}