{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:4D2M5YMY2SAHH5M7KLYQKE373C","short_pith_number":"pith:4D2M5YMY","schema_version":"1.0","canonical_sha256":"e0f4cee198d48073f59f52f105137fd8ba9fc0e798069cb1d29fe9615a118c54","source":{"kind":"arxiv","id":"1203.2453","version":2},"attestation_state":"computed","paper":{"title":"Control-volume representation of molecular dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"D. Dini, D. M. Heyes, E. R. Smith, T. A. Zaki","submitted_at":"2012-03-12T10:44:16Z","abstract_excerpt":"A Molecular Dynamics (MD) parallel to the Control Volume (CV) formulation of fluid mechanics is developed by integrating the formulas of Irving and Kirkwood, J. Chem. Phys. 18, 817 (1950) over a finite cubic volume of molecular dimensions. The Lagrangian molecular system is expressed in terms of an Eulerian CV, which yields an equivalent to Reynolds' Transport Theorem for the discrete system. This approach casts the dynamics of the molecular system into a form that can be readily compared to the continuum equations. The MD equations of motion are reinterpreted in terms of a Lagrangian-to-Contr"},"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":"1203.2453","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-03-12T10:44:16Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"aec69c29d26d110d2467326ed1260a7a4d6fd1acfb510f7ab6315bd707ed8126","abstract_canon_sha256":"3f3636e301edd53541843cc846b3539b3b53044cbf492e232c83b29ff9616685"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:21:17.124740Z","signature_b64":"F47ukARFnbqltuUiQo82Bx902+ZGqphaRBTBG0RkvlC4b1pfVdhqfil07y2/9m0dDMUgNndLODK2MOrtWYRQCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e0f4cee198d48073f59f52f105137fd8ba9fc0e798069cb1d29fe9615a118c54","last_reissued_at":"2026-05-18T02:21:17.124265Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:21:17.124265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Control-volume representation of molecular dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"D. Dini, D. M. Heyes, E. R. Smith, T. A. Zaki","submitted_at":"2012-03-12T10:44:16Z","abstract_excerpt":"A Molecular Dynamics (MD) parallel to the Control Volume (CV) formulation of fluid mechanics is developed by integrating the formulas of Irving and Kirkwood, J. Chem. Phys. 18, 817 (1950) over a finite cubic volume of molecular dimensions. The Lagrangian molecular system is expressed in terms of an Eulerian CV, which yields an equivalent to Reynolds' Transport Theorem for the discrete system. This approach casts the dynamics of the molecular system into a form that can be readily compared to the continuum equations. The MD equations of motion are reinterpreted in terms of a Lagrangian-to-Contr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.2453","kind":"arxiv","version":2},"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":"1203.2453","created_at":"2026-05-18T02:21:17.124344+00:00"},{"alias_kind":"arxiv_version","alias_value":"1203.2453v2","created_at":"2026-05-18T02:21:17.124344+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.2453","created_at":"2026-05-18T02:21:17.124344+00:00"},{"alias_kind":"pith_short_12","alias_value":"4D2M5YMY2SAH","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_16","alias_value":"4D2M5YMY2SAHH5M7","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_8","alias_value":"4D2M5YMY","created_at":"2026-05-18T12:26:53.410803+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/4D2M5YMY2SAHH5M7KLYQKE373C","json":"https://pith.science/pith/4D2M5YMY2SAHH5M7KLYQKE373C.json","graph_json":"https://pith.science/api/pith-number/4D2M5YMY2SAHH5M7KLYQKE373C/graph.json","events_json":"https://pith.science/api/pith-number/4D2M5YMY2SAHH5M7KLYQKE373C/events.json","paper":"https://pith.science/paper/4D2M5YMY"},"agent_actions":{"view_html":"https://pith.science/pith/4D2M5YMY2SAHH5M7KLYQKE373C","download_json":"https://pith.science/pith/4D2M5YMY2SAHH5M7KLYQKE373C.json","view_paper":"https://pith.science/paper/4D2M5YMY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1203.2453&json=true","fetch_graph":"https://pith.science/api/pith-number/4D2M5YMY2SAHH5M7KLYQKE373C/graph.json","fetch_events":"https://pith.science/api/pith-number/4D2M5YMY2SAHH5M7KLYQKE373C/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4D2M5YMY2SAHH5M7KLYQKE373C/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4D2M5YMY2SAHH5M7KLYQKE373C/action/storage_attestation","attest_author":"https://pith.science/pith/4D2M5YMY2SAHH5M7KLYQKE373C/action/author_attestation","sign_citation":"https://pith.science/pith/4D2M5YMY2SAHH5M7KLYQKE373C/action/citation_signature","submit_replication":"https://pith.science/pith/4D2M5YMY2SAHH5M7KLYQKE373C/action/replication_record"}},"created_at":"2026-05-18T02:21:17.124344+00:00","updated_at":"2026-05-18T02:21:17.124344+00:00"}