{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:LAARDUXQAAOQTXUG4C2FJPCWUZ","short_pith_number":"pith:LAARDUXQ","canonical_record":{"source":{"id":"2302.10579","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2023-02-21T10:17:42Z","cross_cats_sorted":["hep-th","math.MP","math.PR"],"title_canon_sha256":"14fdb5bc3b3051bc1eafb7111ccef7f96aaba9be714b47edffbd3e617772a884","abstract_canon_sha256":"62d0717f9a552fbd27b8d5c5fd6e0755e7c919bfb40321263c402d9315fa93a7"},"schema_version":"1.0"},"canonical_sha256":"580111d2f0001d09de86e0b454bc56a6602b4a42a273c223ff38fd2d6dc57a2e","source":{"kind":"arxiv","id":"2302.10579","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.10579","created_at":"2026-07-05T10:36:20Z"},{"alias_kind":"arxiv_version","alias_value":"2302.10579v3","created_at":"2026-07-05T10:36:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.10579","created_at":"2026-07-05T10:36:20Z"},{"alias_kind":"pith_short_12","alias_value":"LAARDUXQAAOQ","created_at":"2026-07-05T10:36:20Z"},{"alias_kind":"pith_short_16","alias_value":"LAARDUXQAAOQTXUG","created_at":"2026-07-05T10:36:20Z"},{"alias_kind":"pith_short_8","alias_value":"LAARDUXQ","created_at":"2026-07-05T10:36:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:LAARDUXQAAOQTXUG4C2FJPCWUZ","target":"record","payload":{"canonical_record":{"source":{"id":"2302.10579","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2023-02-21T10:17:42Z","cross_cats_sorted":["hep-th","math.MP","math.PR"],"title_canon_sha256":"14fdb5bc3b3051bc1eafb7111ccef7f96aaba9be714b47edffbd3e617772a884","abstract_canon_sha256":"62d0717f9a552fbd27b8d5c5fd6e0755e7c919bfb40321263c402d9315fa93a7"},"schema_version":"1.0"},"canonical_sha256":"580111d2f0001d09de86e0b454bc56a6602b4a42a273c223ff38fd2d6dc57a2e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:36:20.705872Z","signature_b64":"w5jYrGo8Wy4DSnJJMJtkxQBmFj1klukCHkQV2YZrDDZQR/v1VSzY5FSCvH4b6goUC9e7dDLIi0impwUhJZHRBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"580111d2f0001d09de86e0b454bc56a6602b4a42a273c223ff38fd2d6dc57a2e","last_reissued_at":"2026-07-05T10:36:20.704919Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:36:20.704919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2302.10579","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":"2026-07-05T10:36:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ny8Mp7eAL22GwzJXXdbHMDj+vJzhkIhfzkKND9aU/+mpeu4qSpljWW0Ut1EqOfciYFtPI6VMcFPFl03juJ7uDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T08:19:18.209547Z"},"content_sha256":"b470f6eae703277babc8e7c677107d0f24212d559bf9a59cc6439da054eb6699","schema_version":"1.0","event_id":"sha256:b470f6eae703277babc8e7c677107d0f24212d559bf9a59cc6439da054eb6699"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:LAARDUXQAAOQTXUG4C2FJPCWUZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An algebraic correspondence between stochastic differential equations and the Martin-Siggia-Rose formalism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP","math.PR"],"primary_cat":"math-ph","authors_text":"Alberto Bonicelli, Claudio Dappiaggi, Nicol\\`o Drago","submitted_at":"2023-02-21T10:17:42Z","abstract_excerpt":"In the realm of complex systems, dynamics is often modeled in terms of a non-linear, stochastic, ordinary differential equation (SDE) with either an additive or a multiplicative Gaussian white noise. In addition to a well-established collection of results proving existence and uniqueness of the solutions, it is of particular relevance the explicit computation of expectation values and correlation functions, since they encode the key physical information of the system under investigation. A pragmatically efficient way to dig out these quantities consists of the Martin-Siggia-Rose (MSR) formalis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.10579","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2302.10579/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":"2026-07-05T10:36:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kDDnKLbGRJvXTIeW0Tfn40raN8H4/DIzrqxn6bdPVVdB4u4AnoTZ41dqZaYKo4wFLZKHeiXDTAeun8NFVMmZBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T08:19:18.210365Z"},"content_sha256":"bf8a001724c45cce6fe330c0e5252542c15eba8d36036fa298880a7d74b2bcd4","schema_version":"1.0","event_id":"sha256:bf8a001724c45cce6fe330c0e5252542c15eba8d36036fa298880a7d74b2bcd4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LAARDUXQAAOQTXUG4C2FJPCWUZ/bundle.json","state_url":"https://pith.science/pith/LAARDUXQAAOQTXUG4C2FJPCWUZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LAARDUXQAAOQTXUG4C2FJPCWUZ/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":"2026-08-09T08:19:18Z","links":{"resolver":"https://pith.science/pith/LAARDUXQAAOQTXUG4C2FJPCWUZ","bundle":"https://pith.science/pith/LAARDUXQAAOQTXUG4C2FJPCWUZ/bundle.json","state":"https://pith.science/pith/LAARDUXQAAOQTXUG4C2FJPCWUZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LAARDUXQAAOQTXUG4C2FJPCWUZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:LAARDUXQAAOQTXUG4C2FJPCWUZ","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":"62d0717f9a552fbd27b8d5c5fd6e0755e7c919bfb40321263c402d9315fa93a7","cross_cats_sorted":["hep-th","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2023-02-21T10:17:42Z","title_canon_sha256":"14fdb5bc3b3051bc1eafb7111ccef7f96aaba9be714b47edffbd3e617772a884"},"schema_version":"1.0","source":{"id":"2302.10579","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.10579","created_at":"2026-07-05T10:36:20Z"},{"alias_kind":"arxiv_version","alias_value":"2302.10579v3","created_at":"2026-07-05T10:36:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.10579","created_at":"2026-07-05T10:36:20Z"},{"alias_kind":"pith_short_12","alias_value":"LAARDUXQAAOQ","created_at":"2026-07-05T10:36:20Z"},{"alias_kind":"pith_short_16","alias_value":"LAARDUXQAAOQTXUG","created_at":"2026-07-05T10:36:20Z"},{"alias_kind":"pith_short_8","alias_value":"LAARDUXQ","created_at":"2026-07-05T10:36:20Z"}],"graph_snapshots":[{"event_id":"sha256:bf8a001724c45cce6fe330c0e5252542c15eba8d36036fa298880a7d74b2bcd4","target":"graph","created_at":"2026-07-05T10:36:20Z","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/2302.10579/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the realm of complex systems, dynamics is often modeled in terms of a non-linear, stochastic, ordinary differential equation (SDE) with either an additive or a multiplicative Gaussian white noise. In addition to a well-established collection of results proving existence and uniqueness of the solutions, it is of particular relevance the explicit computation of expectation values and correlation functions, since they encode the key physical information of the system under investigation. A pragmatically efficient way to dig out these quantities consists of the Martin-Siggia-Rose (MSR) formalis","authors_text":"Alberto Bonicelli, Claudio Dappiaggi, Nicol\\`o Drago","cross_cats":["hep-th","math.MP","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2023-02-21T10:17:42Z","title":"An algebraic correspondence between stochastic differential equations and the Martin-Siggia-Rose formalism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.10579","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:b470f6eae703277babc8e7c677107d0f24212d559bf9a59cc6439da054eb6699","target":"record","created_at":"2026-07-05T10:36:20Z","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":"62d0717f9a552fbd27b8d5c5fd6e0755e7c919bfb40321263c402d9315fa93a7","cross_cats_sorted":["hep-th","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2023-02-21T10:17:42Z","title_canon_sha256":"14fdb5bc3b3051bc1eafb7111ccef7f96aaba9be714b47edffbd3e617772a884"},"schema_version":"1.0","source":{"id":"2302.10579","kind":"arxiv","version":3}},"canonical_sha256":"580111d2f0001d09de86e0b454bc56a6602b4a42a273c223ff38fd2d6dc57a2e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"580111d2f0001d09de86e0b454bc56a6602b4a42a273c223ff38fd2d6dc57a2e","first_computed_at":"2026-07-05T10:36:20.704919Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:36:20.704919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w5jYrGo8Wy4DSnJJMJtkxQBmFj1klukCHkQV2YZrDDZQR/v1VSzY5FSCvH4b6goUC9e7dDLIi0impwUhJZHRBw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:36:20.705872Z","signed_message":"canonical_sha256_bytes"},"source_id":"2302.10579","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b470f6eae703277babc8e7c677107d0f24212d559bf9a59cc6439da054eb6699","sha256:bf8a001724c45cce6fe330c0e5252542c15eba8d36036fa298880a7d74b2bcd4"],"state_sha256":"24de6035ef7d45c35be4ab6c7b025aa251ed3831e92d9fc55e81a0b22d539f18"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+0uYKT/9N+qHftP7A5tKBKrFCs2DpBgB1NyMv9IdfXlz1FIL4CQaOyY3vGleXmevdCi8G/3FC4KJZrc/ZBL4Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T08:19:18.216554Z","bundle_sha256":"8f0da881b5e310a7e18fae0313a5b1f0f50f6c4731b90ec84c246f4b5befe485"}}