{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:GQVWHB44KXIIGCTW52GV2CB2FA","short_pith_number":"pith:GQVWHB44","canonical_record":{"source":{"id":"1903.09562","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-03-22T15:38:20Z","cross_cats_sorted":["cond-mat.soft","physics.comp-ph"],"title_canon_sha256":"116f948fc792ee01cc3992658aa72871298f3de165e519c9a08af845606798c5","abstract_canon_sha256":"6f216bbdf626987a050b736e611b9dcdc82d4544d2dcc82c5c2e413f2ea8a0b3"},"schema_version":"1.0"},"canonical_sha256":"342b63879c55d0830a76ee8d5d083a2829d45619c2836a48652c6985f79d7abb","source":{"kind":"arxiv","id":"1903.09562","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.09562","created_at":"2026-07-05T05:17:42Z"},{"alias_kind":"arxiv_version","alias_value":"1903.09562v4","created_at":"2026-07-05T05:17:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.09562","created_at":"2026-07-05T05:17:42Z"},{"alias_kind":"pith_short_12","alias_value":"GQVWHB44KXII","created_at":"2026-07-05T05:17:42Z"},{"alias_kind":"pith_short_16","alias_value":"GQVWHB44KXIIGCTW","created_at":"2026-07-05T05:17:42Z"},{"alias_kind":"pith_short_8","alias_value":"GQVWHB44","created_at":"2026-07-05T05:17:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:GQVWHB44KXIIGCTW52GV2CB2FA","target":"record","payload":{"canonical_record":{"source":{"id":"1903.09562","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-03-22T15:38:20Z","cross_cats_sorted":["cond-mat.soft","physics.comp-ph"],"title_canon_sha256":"116f948fc792ee01cc3992658aa72871298f3de165e519c9a08af845606798c5","abstract_canon_sha256":"6f216bbdf626987a050b736e611b9dcdc82d4544d2dcc82c5c2e413f2ea8a0b3"},"schema_version":"1.0"},"canonical_sha256":"342b63879c55d0830a76ee8d5d083a2829d45619c2836a48652c6985f79d7abb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:17:42.044901Z","signature_b64":"yfDALDzZ7Y2t7uf/EPJBxnA8/OKOTAp4lJ3ur9yUdVLLADupjBwTPnBErWH3N3OwPir+gt5OSmayUm1lHw7DDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"342b63879c55d0830a76ee8d5d083a2829d45619c2836a48652c6985f79d7abb","last_reissued_at":"2026-07-05T05:17:42.044515Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:17:42.044515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1903.09562","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:17:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Sx0UPQiV5it6Vmqt2rrIE1cmS/4/++MEVqGAhRuwPW8fko3I+3st9neog7bHaIvgxIqLXnH9XMO9NI8QtBtWDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T20:20:48.585010Z"},"content_sha256":"c96da7663bb9d55328a0e99c26b5df991b29f9fd56f317e698f64814a17f66bd","schema_version":"1.0","event_id":"sha256:c96da7663bb9d55328a0e99c26b5df991b29f9fd56f317e698f64814a17f66bd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:GQVWHB44KXIIGCTW52GV2CB2FA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Machine learning memory kernels as closure for non-Markovian stochastic processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft","physics.comp-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Antonio Russo, Ioannis G. Kevrekidis, Miguel A. Duran-Olivencia, Serafim Kalliadasis","submitted_at":"2019-03-22T15:38:20Z","abstract_excerpt":"Finding the dynamical law of observable quantities lies at the core of physics. Within the particular field of statistical mechanics, the generalized Langevin equation (GLE) comprises a general model for the evolution of observables covering a great deal of physical systems with many degrees of freedom and an inherently stochastic nature. Although formally exact, the GLE brings its own great challenges. It depends on the complete history of the observables under scrutiny, as well as the microscopic degrees of freedom, all of which are often inaccessible. We show that these drawbacks can be ove"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.09562","kind":"arxiv","version":4},"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/1903.09562/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":"2026-07-05T05:17:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dfligsw9+zJgiv5VD+0c9oZ1DWHwv1lQkFyVbsU0YWSkAGTDFDuKGAd4XyBIvCcWcxV/2QfIjAQjtZg329JdAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T20:20:48.585518Z"},"content_sha256":"3d00b9bcdfb71d658ddf3d562fdb3dfbca20421ca0282ce5ce2307736279a350","schema_version":"1.0","event_id":"sha256:3d00b9bcdfb71d658ddf3d562fdb3dfbca20421ca0282ce5ce2307736279a350"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GQVWHB44KXIIGCTW52GV2CB2FA/bundle.json","state_url":"https://pith.science/pith/GQVWHB44KXIIGCTW52GV2CB2FA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GQVWHB44KXIIGCTW52GV2CB2FA/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":"2026-08-08T20:20:48Z","links":{"resolver":"https://pith.science/pith/GQVWHB44KXIIGCTW52GV2CB2FA","bundle":"https://pith.science/pith/GQVWHB44KXIIGCTW52GV2CB2FA/bundle.json","state":"https://pith.science/pith/GQVWHB44KXIIGCTW52GV2CB2FA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GQVWHB44KXIIGCTW52GV2CB2FA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:GQVWHB44KXIIGCTW52GV2CB2FA","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":"6f216bbdf626987a050b736e611b9dcdc82d4544d2dcc82c5c2e413f2ea8a0b3","cross_cats_sorted":["cond-mat.soft","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-03-22T15:38:20Z","title_canon_sha256":"116f948fc792ee01cc3992658aa72871298f3de165e519c9a08af845606798c5"},"schema_version":"1.0","source":{"id":"1903.09562","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.09562","created_at":"2026-07-05T05:17:42Z"},{"alias_kind":"arxiv_version","alias_value":"1903.09562v4","created_at":"2026-07-05T05:17:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.09562","created_at":"2026-07-05T05:17:42Z"},{"alias_kind":"pith_short_12","alias_value":"GQVWHB44KXII","created_at":"2026-07-05T05:17:42Z"},{"alias_kind":"pith_short_16","alias_value":"GQVWHB44KXIIGCTW","created_at":"2026-07-05T05:17:42Z"},{"alias_kind":"pith_short_8","alias_value":"GQVWHB44","created_at":"2026-07-05T05:17:42Z"}],"graph_snapshots":[{"event_id":"sha256:3d00b9bcdfb71d658ddf3d562fdb3dfbca20421ca0282ce5ce2307736279a350","target":"graph","created_at":"2026-07-05T05:17:42Z","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/1903.09562/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Finding the dynamical law of observable quantities lies at the core of physics. Within the particular field of statistical mechanics, the generalized Langevin equation (GLE) comprises a general model for the evolution of observables covering a great deal of physical systems with many degrees of freedom and an inherently stochastic nature. Although formally exact, the GLE brings its own great challenges. It depends on the complete history of the observables under scrutiny, as well as the microscopic degrees of freedom, all of which are often inaccessible. We show that these drawbacks can be ove","authors_text":"Antonio Russo, Ioannis G. Kevrekidis, Miguel A. Duran-Olivencia, Serafim Kalliadasis","cross_cats":["cond-mat.soft","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-03-22T15:38:20Z","title":"Machine learning memory kernels as closure for non-Markovian stochastic processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.09562","kind":"arxiv","version":4},"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:c96da7663bb9d55328a0e99c26b5df991b29f9fd56f317e698f64814a17f66bd","target":"record","created_at":"2026-07-05T05:17:42Z","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":"6f216bbdf626987a050b736e611b9dcdc82d4544d2dcc82c5c2e413f2ea8a0b3","cross_cats_sorted":["cond-mat.soft","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-03-22T15:38:20Z","title_canon_sha256":"116f948fc792ee01cc3992658aa72871298f3de165e519c9a08af845606798c5"},"schema_version":"1.0","source":{"id":"1903.09562","kind":"arxiv","version":4}},"canonical_sha256":"342b63879c55d0830a76ee8d5d083a2829d45619c2836a48652c6985f79d7abb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"342b63879c55d0830a76ee8d5d083a2829d45619c2836a48652c6985f79d7abb","first_computed_at":"2026-07-05T05:17:42.044515Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:17:42.044515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yfDALDzZ7Y2t7uf/EPJBxnA8/OKOTAp4lJ3ur9yUdVLLADupjBwTPnBErWH3N3OwPir+gt5OSmayUm1lHw7DDA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:17:42.044901Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.09562","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c96da7663bb9d55328a0e99c26b5df991b29f9fd56f317e698f64814a17f66bd","sha256:3d00b9bcdfb71d658ddf3d562fdb3dfbca20421ca0282ce5ce2307736279a350"],"state_sha256":"d706bb27782b6eec118e394d3f704dad2de6406720ed279fd99fd408c2c2fde6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2CmXJ058CiBmXBcVdTOnfQzt/bpJ0jaaa2/mYJfOGAowDeDF28MW5MHKtM51mRYALKMiEfjGz3bf4cQUhmEMAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T20:20:48.589493Z","bundle_sha256":"fc1b028ade10e37eae2e0d635b547598852e80b6064174707cc94fb1c385d4f6"}}