{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:3WQE2UDKUNNKD3NHXBNSGYRITV","short_pith_number":"pith:3WQE2UDK","schema_version":"1.0","canonical_sha256":"dda04d506aa35aa1eda7b85b2362289d53b9d6c08205a718db180fb35183b697","source":{"kind":"arxiv","id":"1903.12572","version":2},"attestation_state":"computed","paper":{"title":"Out-of-equilibrium dynamical equations of infinite-dimensional particle systems. II. The anisotropic case under shear strain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Elisabeth Agoritsas, Francesco Zamponi, Thibaud Maimbourg","submitted_at":"2019-03-29T15:30:43Z","abstract_excerpt":"As an extension of the isotropic setting presented in the companion paper [J. Phys. A 52, 144002 (2019)], we consider the Langevin dynamics of a many-body system of pairwise interacting particles in $d$ dimensions, submitted to an external shear strain. We show that the anisotropy introduced by the shear strain can be simply addressed by moving into the co-shearing frame, leading to simple dynamical mean field equations in the limit ${d\\to\\infty}$. The dynamics is then controlled by a single one-dimensional effective stochastic process which depends on three distinct strain-dependent kernels -"},"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":"1903.12572","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2019-03-29T15:30:43Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"3c63c27bc559a81098a8d501869e57eb08be3ba14d5440dd5751f83ffb8575b5","abstract_canon_sha256":"7a856270752c4a0561208874f15a84aba4b4dc2985f15463f8bb6cd570d2e674"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:40:03.645365Z","signature_b64":"/hc4YAMAeZkXGyFpdDKWIQsuvplyAqS7tJ1sjWwEWS3cL37tPzcQ2dYHcBq2DsOIahl4b7PMFSiQVrny+CvFAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dda04d506aa35aa1eda7b85b2362289d53b9d6c08205a718db180fb35183b697","last_reissued_at":"2026-05-17T23:40:03.644733Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:40:03.644733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Out-of-equilibrium dynamical equations of infinite-dimensional particle systems. II. The anisotropic case under shear strain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Elisabeth Agoritsas, Francesco Zamponi, Thibaud Maimbourg","submitted_at":"2019-03-29T15:30:43Z","abstract_excerpt":"As an extension of the isotropic setting presented in the companion paper [J. Phys. A 52, 144002 (2019)], we consider the Langevin dynamics of a many-body system of pairwise interacting particles in $d$ dimensions, submitted to an external shear strain. We show that the anisotropy introduced by the shear strain can be simply addressed by moving into the co-shearing frame, leading to simple dynamical mean field equations in the limit ${d\\to\\infty}$. The dynamics is then controlled by a single one-dimensional effective stochastic process which depends on three distinct strain-dependent kernels -"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.12572","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":"1903.12572","created_at":"2026-05-17T23:40:03.644829+00:00"},{"alias_kind":"arxiv_version","alias_value":"1903.12572v2","created_at":"2026-05-17T23:40:03.644829+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.12572","created_at":"2026-05-17T23:40:03.644829+00:00"},{"alias_kind":"pith_short_12","alias_value":"3WQE2UDKUNNK","created_at":"2026-05-18T12:33:10.108867+00:00"},{"alias_kind":"pith_short_16","alias_value":"3WQE2UDKUNNKD3NH","created_at":"2026-05-18T12:33:10.108867+00:00"},{"alias_kind":"pith_short_8","alias_value":"3WQE2UDK","created_at":"2026-05-18T12:33:10.108867+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/3WQE2UDKUNNKD3NHXBNSGYRITV","json":"https://pith.science/pith/3WQE2UDKUNNKD3NHXBNSGYRITV.json","graph_json":"https://pith.science/api/pith-number/3WQE2UDKUNNKD3NHXBNSGYRITV/graph.json","events_json":"https://pith.science/api/pith-number/3WQE2UDKUNNKD3NHXBNSGYRITV/events.json","paper":"https://pith.science/paper/3WQE2UDK"},"agent_actions":{"view_html":"https://pith.science/pith/3WQE2UDKUNNKD3NHXBNSGYRITV","download_json":"https://pith.science/pith/3WQE2UDKUNNKD3NHXBNSGYRITV.json","view_paper":"https://pith.science/paper/3WQE2UDK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1903.12572&json=true","fetch_graph":"https://pith.science/api/pith-number/3WQE2UDKUNNKD3NHXBNSGYRITV/graph.json","fetch_events":"https://pith.science/api/pith-number/3WQE2UDKUNNKD3NHXBNSGYRITV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3WQE2UDKUNNKD3NHXBNSGYRITV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3WQE2UDKUNNKD3NHXBNSGYRITV/action/storage_attestation","attest_author":"https://pith.science/pith/3WQE2UDKUNNKD3NHXBNSGYRITV/action/author_attestation","sign_citation":"https://pith.science/pith/3WQE2UDKUNNKD3NHXBNSGYRITV/action/citation_signature","submit_replication":"https://pith.science/pith/3WQE2UDKUNNKD3NHXBNSGYRITV/action/replication_record"}},"created_at":"2026-05-17T23:40:03.644829+00:00","updated_at":"2026-05-17T23:40:03.644829+00:00"}