{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:X7DC7O47YNHFJURDSPASRUPYVK","short_pith_number":"pith:X7DC7O47","schema_version":"1.0","canonical_sha256":"bfc62fbb9fc34e54d22393c128d1f8aaa819450f7d8a5af58fc7684823e46cba","source":{"kind":"arxiv","id":"1807.10480","version":1},"attestation_state":"computed","paper":{"title":"A stochastic version and a Liouville theorem for hamiltonian inclusions with convex dissipation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.MP"],"primary_cat":"math-ph","authors_text":"Marius Buliga","submitted_at":"2018-07-27T08:14:12Z","abstract_excerpt":"The statistical counterpart of the formalism of hamiltonian systems with convex dissipation arXiv:0810.1419 , arXiv:1408.3102 is a completely open subject. Here are described a stochastic version of the SBEN principle and a Liouville type theorem which uses a minimal dissipation cost functional."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1807.10480","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-07-27T08:14:12Z","cross_cats_sorted":["math.DS","math.MP"],"title_canon_sha256":"01ca120a48a74ed307a6ef712f0107350c4b71d28af123a123d2140262aa16a7","abstract_canon_sha256":"0724ba47cdec9896eda171725e22bed853a965ae712ce832f5e1459c854ca222"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:40.468306Z","signature_b64":"9IbD6nczCvxx9XnI0AJAivhgiQnZXZ0H4v09qTDNtR6lOXLtAs2stvltYfDW11gwJtfDcp7Fp2jxr0YUi9NDBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bfc62fbb9fc34e54d22393c128d1f8aaa819450f7d8a5af58fc7684823e46cba","last_reissued_at":"2026-05-18T00:09:40.467787Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:40.467787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A stochastic version and a Liouville theorem for hamiltonian inclusions with convex dissipation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.MP"],"primary_cat":"math-ph","authors_text":"Marius Buliga","submitted_at":"2018-07-27T08:14:12Z","abstract_excerpt":"The statistical counterpart of the formalism of hamiltonian systems with convex dissipation arXiv:0810.1419 , arXiv:1408.3102 is a completely open subject. Here are described a stochastic version of the SBEN principle and a Liouville type theorem which uses a minimal dissipation cost functional."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.10480","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1807.10480","created_at":"2026-05-18T00:09:40.467871+00:00"},{"alias_kind":"arxiv_version","alias_value":"1807.10480v1","created_at":"2026-05-18T00:09:40.467871+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.10480","created_at":"2026-05-18T00:09:40.467871+00:00"},{"alias_kind":"pith_short_12","alias_value":"X7DC7O47YNHF","created_at":"2026-05-18T12:33:01.666342+00:00"},{"alias_kind":"pith_short_16","alias_value":"X7DC7O47YNHFJURD","created_at":"2026-05-18T12:33:01.666342+00:00"},{"alias_kind":"pith_short_8","alias_value":"X7DC7O47","created_at":"2026-05-18T12:33:01.666342+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2602.14614","citing_title":"Comments on Symplectic bipotentials arXiv:2410.23122","ref_index":9,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/X7DC7O47YNHFJURDSPASRUPYVK","json":"https://pith.science/pith/X7DC7O47YNHFJURDSPASRUPYVK.json","graph_json":"https://pith.science/api/pith-number/X7DC7O47YNHFJURDSPASRUPYVK/graph.json","events_json":"https://pith.science/api/pith-number/X7DC7O47YNHFJURDSPASRUPYVK/events.json","paper":"https://pith.science/paper/X7DC7O47"},"agent_actions":{"view_html":"https://pith.science/pith/X7DC7O47YNHFJURDSPASRUPYVK","download_json":"https://pith.science/pith/X7DC7O47YNHFJURDSPASRUPYVK.json","view_paper":"https://pith.science/paper/X7DC7O47","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1807.10480&json=true","fetch_graph":"https://pith.science/api/pith-number/X7DC7O47YNHFJURDSPASRUPYVK/graph.json","fetch_events":"https://pith.science/api/pith-number/X7DC7O47YNHFJURDSPASRUPYVK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/X7DC7O47YNHFJURDSPASRUPYVK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/X7DC7O47YNHFJURDSPASRUPYVK/action/storage_attestation","attest_author":"https://pith.science/pith/X7DC7O47YNHFJURDSPASRUPYVK/action/author_attestation","sign_citation":"https://pith.science/pith/X7DC7O47YNHFJURDSPASRUPYVK/action/citation_signature","submit_replication":"https://pith.science/pith/X7DC7O47YNHFJURDSPASRUPYVK/action/replication_record"}},"created_at":"2026-05-18T00:09:40.467871+00:00","updated_at":"2026-05-18T00:09:40.467871+00:00"}