{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:XPDJTQUAEGWHWQXCWSJ3UJQBHN","short_pith_number":"pith:XPDJTQUA","schema_version":"1.0","canonical_sha256":"bbc699c28021ac7b42e2b493ba26013b4bc0f244a5f285e45ac62daff815d873","source":{"kind":"arxiv","id":"1203.3902","version":1},"attestation_state":"computed","paper":{"title":"The Lagrangian dynamics of thermal tracer particles in Navier-Stokes fluids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Alessandro Soranzo, Claudio Asci, Claudio Cremaschini, Gino Tironi, Marco Tessarotto, Massimo Tessarotto","submitted_at":"2012-03-17T22:27:38Z","abstract_excerpt":"A basic issue for Navier-Stokes (NS) fluids is their characterization in terms of the so-called NS phase-space classical dynamical system, which provides a mathematical model for the description of the dynamics of infinitesimal (or i\\textit{deal}) tracer particles in these fluids. The goal of this paper is to analyze the properties of a particular subset of solutions of the NS dynamical system, denoted as \\textit{thermal tracer particles} (TTPs), whose states are determined uniquely by the NS fluid fields. Applications concerning both deterministic and stochastic NS fluids are pointed out. In "},"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":"1203.3902","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-03-17T22:27:38Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"07fc882f29b7b80ecbb051739363b56d618c146411f9fd30ea3e4fc62f270b1f","abstract_canon_sha256":"5059782cabeec438fe3fc4dc774266980ad3f9045c2ef38d244624748c5786af"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:59:48.688751Z","signature_b64":"fkb5pESdE3e9z0d6HnVGx/tjjOUq2D8V56gW5Zt/PdrLMAkRxPZ9AhC4E1U31iWMTzYvvYZ+HIkTbinG7mHPBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bbc699c28021ac7b42e2b493ba26013b4bc0f244a5f285e45ac62daff815d873","last_reissued_at":"2026-05-18T03:59:48.688375Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:59:48.688375Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Lagrangian dynamics of thermal tracer particles in Navier-Stokes fluids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Alessandro Soranzo, Claudio Asci, Claudio Cremaschini, Gino Tironi, Marco Tessarotto, Massimo Tessarotto","submitted_at":"2012-03-17T22:27:38Z","abstract_excerpt":"A basic issue for Navier-Stokes (NS) fluids is their characterization in terms of the so-called NS phase-space classical dynamical system, which provides a mathematical model for the description of the dynamics of infinitesimal (or i\\textit{deal}) tracer particles in these fluids. The goal of this paper is to analyze the properties of a particular subset of solutions of the NS dynamical system, denoted as \\textit{thermal tracer particles} (TTPs), whose states are determined uniquely by the NS fluid fields. Applications concerning both deterministic and stochastic NS fluids are pointed out. In "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.3902","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":"1203.3902","created_at":"2026-05-18T03:59:48.688435+00:00"},{"alias_kind":"arxiv_version","alias_value":"1203.3902v1","created_at":"2026-05-18T03:59:48.688435+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.3902","created_at":"2026-05-18T03:59:48.688435+00:00"},{"alias_kind":"pith_short_12","alias_value":"XPDJTQUAEGWH","created_at":"2026-05-18T12:27:27.928770+00:00"},{"alias_kind":"pith_short_16","alias_value":"XPDJTQUAEGWHWQXC","created_at":"2026-05-18T12:27:27.928770+00:00"},{"alias_kind":"pith_short_8","alias_value":"XPDJTQUA","created_at":"2026-05-18T12:27:27.928770+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XPDJTQUAEGWHWQXCWSJ3UJQBHN","json":"https://pith.science/pith/XPDJTQUAEGWHWQXCWSJ3UJQBHN.json","graph_json":"https://pith.science/api/pith-number/XPDJTQUAEGWHWQXCWSJ3UJQBHN/graph.json","events_json":"https://pith.science/api/pith-number/XPDJTQUAEGWHWQXCWSJ3UJQBHN/events.json","paper":"https://pith.science/paper/XPDJTQUA"},"agent_actions":{"view_html":"https://pith.science/pith/XPDJTQUAEGWHWQXCWSJ3UJQBHN","download_json":"https://pith.science/pith/XPDJTQUAEGWHWQXCWSJ3UJQBHN.json","view_paper":"https://pith.science/paper/XPDJTQUA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1203.3902&json=true","fetch_graph":"https://pith.science/api/pith-number/XPDJTQUAEGWHWQXCWSJ3UJQBHN/graph.json","fetch_events":"https://pith.science/api/pith-number/XPDJTQUAEGWHWQXCWSJ3UJQBHN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XPDJTQUAEGWHWQXCWSJ3UJQBHN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XPDJTQUAEGWHWQXCWSJ3UJQBHN/action/storage_attestation","attest_author":"https://pith.science/pith/XPDJTQUAEGWHWQXCWSJ3UJQBHN/action/author_attestation","sign_citation":"https://pith.science/pith/XPDJTQUAEGWHWQXCWSJ3UJQBHN/action/citation_signature","submit_replication":"https://pith.science/pith/XPDJTQUAEGWHWQXCWSJ3UJQBHN/action/replication_record"}},"created_at":"2026-05-18T03:59:48.688435+00:00","updated_at":"2026-05-18T03:59:48.688435+00:00"}