{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:6LX3MC5XWP7VPVJ4L5ZL6DH3M4","short_pith_number":"pith:6LX3MC5X","schema_version":"1.0","canonical_sha256":"f2efb60bb7b3ff57d53c5f72bf0cfb673dcd25252632db281fe26f1be7f770cc","source":{"kind":"arxiv","id":"1910.11860","version":3},"attestation_state":"computed","paper":{"title":"Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.PR","authors_text":"Benjamin Fehrman, Benjamin Gess","submitted_at":"2019-10-25T17:40:01Z","abstract_excerpt":"Large deviations of conservative interacting particle systems, such as the zero range process, about their hydrodynamic limit and their respective rate functions lead to the analysis of the skeleton equation; a degenerate parabolic-hyperbolic PDE with irregular drift. We develop a robust well-posedness theory for such PDEs in energy-critical spaces based on concepts of renormalized solutions and the equation's kinetic form. We establish these properties by proving that renormalized solutions are equivalent to classical weak solutions, extending concepts of [DiPerna, Lions; Ann. Math., 1989], ["},"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":"1910.11860","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-10-25T17:40:01Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"533a986c6ee1446fa8d7c247b883a40d6026143460b8cd17110d5b6d332696e5","abstract_canon_sha256":"a58781654b0fa39a64575ec8846d6c199d8f92d21c572e4a8b14e691ef620253"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:05:09.228054Z","signature_b64":"x5wAwfrKJNul64n3/24GthTff+yKZGc3mpHbbtaHLyuIJYDCXD/svcQIEB6Dbq70TaRkILUg99ZdXPWXBKpqDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f2efb60bb7b3ff57d53c5f72bf0cfb673dcd25252632db281fe26f1be7f770cc","last_reissued_at":"2026-07-05T04:05:09.227581Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:05:09.227581Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.PR","authors_text":"Benjamin Fehrman, Benjamin Gess","submitted_at":"2019-10-25T17:40:01Z","abstract_excerpt":"Large deviations of conservative interacting particle systems, such as the zero range process, about their hydrodynamic limit and their respective rate functions lead to the analysis of the skeleton equation; a degenerate parabolic-hyperbolic PDE with irregular drift. We develop a robust well-posedness theory for such PDEs in energy-critical spaces based on concepts of renormalized solutions and the equation's kinetic form. We establish these properties by proving that renormalized solutions are equivalent to classical weak solutions, extending concepts of [DiPerna, Lions; Ann. Math., 1989], ["},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.11860","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/1910.11860/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1910.11860","created_at":"2026-07-05T04:05:09.227642+00:00"},{"alias_kind":"arxiv_version","alias_value":"1910.11860v3","created_at":"2026-07-05T04:05:09.227642+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.11860","created_at":"2026-07-05T04:05:09.227642+00:00"},{"alias_kind":"pith_short_12","alias_value":"6LX3MC5XWP7V","created_at":"2026-07-05T04:05:09.227642+00:00"},{"alias_kind":"pith_short_16","alias_value":"6LX3MC5XWP7VPVJ4","created_at":"2026-07-05T04:05:09.227642+00:00"},{"alias_kind":"pith_short_8","alias_value":"6LX3MC5X","created_at":"2026-07-05T04:05:09.227642+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.26652","citing_title":"Pathological Large Deviations of the KMP Process in Dimension $d\\ge 2$","ref_index":24,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6LX3MC5XWP7VPVJ4L5ZL6DH3M4","json":"https://pith.science/pith/6LX3MC5XWP7VPVJ4L5ZL6DH3M4.json","graph_json":"https://pith.science/api/pith-number/6LX3MC5XWP7VPVJ4L5ZL6DH3M4/graph.json","events_json":"https://pith.science/api/pith-number/6LX3MC5XWP7VPVJ4L5ZL6DH3M4/events.json","paper":"https://pith.science/paper/6LX3MC5X"},"agent_actions":{"view_html":"https://pith.science/pith/6LX3MC5XWP7VPVJ4L5ZL6DH3M4","download_json":"https://pith.science/pith/6LX3MC5XWP7VPVJ4L5ZL6DH3M4.json","view_paper":"https://pith.science/paper/6LX3MC5X","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1910.11860&json=true","fetch_graph":"https://pith.science/api/pith-number/6LX3MC5XWP7VPVJ4L5ZL6DH3M4/graph.json","fetch_events":"https://pith.science/api/pith-number/6LX3MC5XWP7VPVJ4L5ZL6DH3M4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6LX3MC5XWP7VPVJ4L5ZL6DH3M4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6LX3MC5XWP7VPVJ4L5ZL6DH3M4/action/storage_attestation","attest_author":"https://pith.science/pith/6LX3MC5XWP7VPVJ4L5ZL6DH3M4/action/author_attestation","sign_citation":"https://pith.science/pith/6LX3MC5XWP7VPVJ4L5ZL6DH3M4/action/citation_signature","submit_replication":"https://pith.science/pith/6LX3MC5XWP7VPVJ4L5ZL6DH3M4/action/replication_record"}},"created_at":"2026-07-05T04:05:09.227642+00:00","updated_at":"2026-07-05T04:05:09.227642+00:00"}