{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:F7FE3W3INZ2EWCDGGXC5ANZXVQ","short_pith_number":"pith:F7FE3W3I","schema_version":"1.0","canonical_sha256":"2fca4ddb686e744b086635c5d03737ac15c7037ce06b662bc41bd1561370866a","source":{"kind":"arxiv","id":"0904.4783","version":1},"attestation_state":"computed","paper":{"title":"Linear Continuum Mechanics for Quantum Many-Body Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"G. Vignale, I. V. Tokatly, Jianmin Tao, Xianlong Gao","submitted_at":"2009-04-30T10:18:13Z","abstract_excerpt":"We develop the continuum mechanics of quantum many-body systems in the linear response regime. The basic variable of the theory is the displacement field, for which we derive a closed equation of motion under the assumption that the time-dependent wave function in a locally co-moving reference frame can be described as a geometric deformation of the ground-state wave function. We show that this equation of motion is exact for systems consisting of a single particle, and for all systems at sufficiently high frequency, and that it leads to an excitation spectrum that has the correct integrated s"},"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":"0904.4783","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-04-30T10:18:13Z","cross_cats_sorted":[],"title_canon_sha256":"3df29b1ca1b564e9416fa7051158d43ebe30f5f3eb5a1cdee0c129df58245849","abstract_canon_sha256":"6247b881dd5f602dd22d6c065963e38537b55e28b93a0a10fd581529e03041a6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:13:48.916298Z","signature_b64":"L3z3dcGMUQK+bEmdfCWuzppBmyH3gU+zP/upMybRgFXKyTFHgm/aSSXvQSx4OEaBXebkIdkMYopg1S/kRug8Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2fca4ddb686e744b086635c5d03737ac15c7037ce06b662bc41bd1561370866a","last_reissued_at":"2026-05-18T02:13:48.915525Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:13:48.915525Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Linear Continuum Mechanics for Quantum Many-Body Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"G. Vignale, I. V. Tokatly, Jianmin Tao, Xianlong Gao","submitted_at":"2009-04-30T10:18:13Z","abstract_excerpt":"We develop the continuum mechanics of quantum many-body systems in the linear response regime. The basic variable of the theory is the displacement field, for which we derive a closed equation of motion under the assumption that the time-dependent wave function in a locally co-moving reference frame can be described as a geometric deformation of the ground-state wave function. We show that this equation of motion is exact for systems consisting of a single particle, and for all systems at sufficiently high frequency, and that it leads to an excitation spectrum that has the correct integrated s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.4783","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":"0904.4783","created_at":"2026-05-18T02:13:48.915652+00:00"},{"alias_kind":"arxiv_version","alias_value":"0904.4783v1","created_at":"2026-05-18T02:13:48.915652+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.4783","created_at":"2026-05-18T02:13:48.915652+00:00"},{"alias_kind":"pith_short_12","alias_value":"F7FE3W3INZ2E","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_16","alias_value":"F7FE3W3INZ2EWCDG","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_8","alias_value":"F7FE3W3I","created_at":"2026-05-18T12:25:59.703012+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/F7FE3W3INZ2EWCDGGXC5ANZXVQ","json":"https://pith.science/pith/F7FE3W3INZ2EWCDGGXC5ANZXVQ.json","graph_json":"https://pith.science/api/pith-number/F7FE3W3INZ2EWCDGGXC5ANZXVQ/graph.json","events_json":"https://pith.science/api/pith-number/F7FE3W3INZ2EWCDGGXC5ANZXVQ/events.json","paper":"https://pith.science/paper/F7FE3W3I"},"agent_actions":{"view_html":"https://pith.science/pith/F7FE3W3INZ2EWCDGGXC5ANZXVQ","download_json":"https://pith.science/pith/F7FE3W3INZ2EWCDGGXC5ANZXVQ.json","view_paper":"https://pith.science/paper/F7FE3W3I","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0904.4783&json=true","fetch_graph":"https://pith.science/api/pith-number/F7FE3W3INZ2EWCDGGXC5ANZXVQ/graph.json","fetch_events":"https://pith.science/api/pith-number/F7FE3W3INZ2EWCDGGXC5ANZXVQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/F7FE3W3INZ2EWCDGGXC5ANZXVQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/F7FE3W3INZ2EWCDGGXC5ANZXVQ/action/storage_attestation","attest_author":"https://pith.science/pith/F7FE3W3INZ2EWCDGGXC5ANZXVQ/action/author_attestation","sign_citation":"https://pith.science/pith/F7FE3W3INZ2EWCDGGXC5ANZXVQ/action/citation_signature","submit_replication":"https://pith.science/pith/F7FE3W3INZ2EWCDGGXC5ANZXVQ/action/replication_record"}},"created_at":"2026-05-18T02:13:48.915652+00:00","updated_at":"2026-05-18T02:13:48.915652+00:00"}