{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:3WK4BUESGAAYY4HOVQM4S64A22","short_pith_number":"pith:3WK4BUES","schema_version":"1.0","canonical_sha256":"dd95c0d09230018c70eeac19c97b80d6bd4695e9a5dcab70900c37a3806f48c7","source":{"kind":"arxiv","id":"1612.09102","version":1},"attestation_state":"computed","paper":{"title":"Adiabatic approximation for a uniform DC electric field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Mansoor B. A. Jalil, Seng Ghee Tan, Zhuo Bin Siu","submitted_at":"2016-12-29T11:18:40Z","abstract_excerpt":"In this work, we show that the disorder-free Kubo formula for the non-equilibrium value of an observable due to a DC electric field, represented by $E_x\\hat{x}$ in the Hamiltonian, can be interpreted as the standard time-independent theory response of the observable due to a time- and position-\\textit{independent} perturbation $H_{MF}$. We derive the explicit expression for $H_{MF}$ and show that it originates from the adiabatic approximation to $\\langle k|E_x\\hat{x}$ in which transitions between the different eigenspinor states of a system are forbidden. The expression for $H_{MF}$ is general"},"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":"1612.09102","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-12-29T11:18:40Z","cross_cats_sorted":[],"title_canon_sha256":"16299326181347e191d6c7208d619ba1cd2d01c96f926f57b00d277c7d09544d","abstract_canon_sha256":"a8a1e4c215fdddc6a1d35fe9b88a1d8a5c4e6bbef9cef124bf305e24602eb1e3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:24:20.367431Z","signature_b64":"jy90nKixYZG4VVCZuLIB5tEnleT7BYBmX/D7KB5p3j8e26S66ID4NT1ET44RBF+7uVB17vWoYXO0ToZLwhKQAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dd95c0d09230018c70eeac19c97b80d6bd4695e9a5dcab70900c37a3806f48c7","last_reissued_at":"2026-05-18T00:24:20.366832Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:24:20.366832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Adiabatic approximation for a uniform DC electric field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Mansoor B. A. Jalil, Seng Ghee Tan, Zhuo Bin Siu","submitted_at":"2016-12-29T11:18:40Z","abstract_excerpt":"In this work, we show that the disorder-free Kubo formula for the non-equilibrium value of an observable due to a DC electric field, represented by $E_x\\hat{x}$ in the Hamiltonian, can be interpreted as the standard time-independent theory response of the observable due to a time- and position-\\textit{independent} perturbation $H_{MF}$. We derive the explicit expression for $H_{MF}$ and show that it originates from the adiabatic approximation to $\\langle k|E_x\\hat{x}$ in which transitions between the different eigenspinor states of a system are forbidden. The expression for $H_{MF}$ is general"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.09102","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":"1612.09102","created_at":"2026-05-18T00:24:20.366928+00:00"},{"alias_kind":"arxiv_version","alias_value":"1612.09102v1","created_at":"2026-05-18T00:24:20.366928+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.09102","created_at":"2026-05-18T00:24:20.366928+00:00"},{"alias_kind":"pith_short_12","alias_value":"3WK4BUESGAAY","created_at":"2026-05-18T12:29:58.707656+00:00"},{"alias_kind":"pith_short_16","alias_value":"3WK4BUESGAAYY4HO","created_at":"2026-05-18T12:29:58.707656+00:00"},{"alias_kind":"pith_short_8","alias_value":"3WK4BUES","created_at":"2026-05-18T12:29:58.707656+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/3WK4BUESGAAYY4HOVQM4S64A22","json":"https://pith.science/pith/3WK4BUESGAAYY4HOVQM4S64A22.json","graph_json":"https://pith.science/api/pith-number/3WK4BUESGAAYY4HOVQM4S64A22/graph.json","events_json":"https://pith.science/api/pith-number/3WK4BUESGAAYY4HOVQM4S64A22/events.json","paper":"https://pith.science/paper/3WK4BUES"},"agent_actions":{"view_html":"https://pith.science/pith/3WK4BUESGAAYY4HOVQM4S64A22","download_json":"https://pith.science/pith/3WK4BUESGAAYY4HOVQM4S64A22.json","view_paper":"https://pith.science/paper/3WK4BUES","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1612.09102&json=true","fetch_graph":"https://pith.science/api/pith-number/3WK4BUESGAAYY4HOVQM4S64A22/graph.json","fetch_events":"https://pith.science/api/pith-number/3WK4BUESGAAYY4HOVQM4S64A22/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3WK4BUESGAAYY4HOVQM4S64A22/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3WK4BUESGAAYY4HOVQM4S64A22/action/storage_attestation","attest_author":"https://pith.science/pith/3WK4BUESGAAYY4HOVQM4S64A22/action/author_attestation","sign_citation":"https://pith.science/pith/3WK4BUESGAAYY4HOVQM4S64A22/action/citation_signature","submit_replication":"https://pith.science/pith/3WK4BUESGAAYY4HOVQM4S64A22/action/replication_record"}},"created_at":"2026-05-18T00:24:20.366928+00:00","updated_at":"2026-05-18T00:24:20.366928+00:00"}