{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:J4PDV3SC6FZ44YON6MSGBIXEJX","short_pith_number":"pith:J4PDV3SC","schema_version":"1.0","canonical_sha256":"4f1e3aee42f173ce61cdf32460a2e44dcf6a6e71e785812f3e251ac0ad917d3f","source":{"kind":"arxiv","id":"2608.05306","version":1},"attestation_state":"computed","paper":{"title":"Kinetic Lifshitz invariants and dynamics of nonreciprocal fluctuations in superconductors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.supr-con","authors_text":"Alex Levchenko, Daniel Shaffer, Joaquim Telles de Miranda, Tony Liu","submitted_at":"2026-08-05T18:08:21Z","abstract_excerpt":"We derive the generalized time-dependent Ginzburg-Landau theory of a disordered noncentrosymmetric superconductor from the Keldysh nonlinear sigma model, using a two-dimensional electron gas with Rashba spin-orbit coupling and an in-plane Zeeman field as a minimal model. On the thermodynamic side we construct the Lifshitz invariants of the free energy, the linear and cubic gradient terms and the momentum-odd part of the quartic vertex, and trace their dependence on disorder. These couplings are governed by a single closed-form kernel controlled by the ratio of the Dyakonov-Perel spin-relaxatio"},"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":"2608.05306","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2026-08-05T18:08:21Z","cross_cats_sorted":[],"title_canon_sha256":"b396b2ae939f1dc34fe2af4f3cd109fcd0fc09ef00106c139c16267b492b5048","abstract_canon_sha256":"0f8c127a4f7b82b294b3f83aa54bbab29daadd803ba22645ea54b7e996c2646d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-07T00:46:58.720541Z","signature_b64":"RcHiYxk/nepIqUBkx3Fciat2p8J1XSSihO5UYFfWwP2idVB448ZmntcUtfnd2HlP3eZcVhED3Kh/MK5GdU9cAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4f1e3aee42f173ce61cdf32460a2e44dcf6a6e71e785812f3e251ac0ad917d3f","last_reissued_at":"2026-08-07T00:46:58.719091Z","signature_status":"signed_v1","first_computed_at":"2026-08-07T00:46:58.719091Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Kinetic Lifshitz invariants and dynamics of nonreciprocal fluctuations in superconductors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.supr-con","authors_text":"Alex Levchenko, Daniel Shaffer, Joaquim Telles de Miranda, Tony Liu","submitted_at":"2026-08-05T18:08:21Z","abstract_excerpt":"We derive the generalized time-dependent Ginzburg-Landau theory of a disordered noncentrosymmetric superconductor from the Keldysh nonlinear sigma model, using a two-dimensional electron gas with Rashba spin-orbit coupling and an in-plane Zeeman field as a minimal model. On the thermodynamic side we construct the Lifshitz invariants of the free energy, the linear and cubic gradient terms and the momentum-odd part of the quartic vertex, and trace their dependence on disorder. These couplings are governed by a single closed-form kernel controlled by the ratio of the Dyakonov-Perel spin-relaxatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.05306","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2608.05306/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2608.05306","created_at":"2026-08-07T00:46:58.720451+00:00"},{"alias_kind":"arxiv_version","alias_value":"2608.05306v1","created_at":"2026-08-07T00:46:58.720451+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.05306","created_at":"2026-08-07T00:46:58.720451+00:00"},{"alias_kind":"pith_short_12","alias_value":"J4PDV3SC6FZ4","created_at":"2026-08-07T00:46:58.720451+00:00"},{"alias_kind":"pith_short_16","alias_value":"J4PDV3SC6FZ44YON","created_at":"2026-08-07T00:46:58.720451+00:00"},{"alias_kind":"pith_short_8","alias_value":"J4PDV3SC","created_at":"2026-08-07T00:46:58.720451+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/J4PDV3SC6FZ44YON6MSGBIXEJX","json":"https://pith.science/pith/J4PDV3SC6FZ44YON6MSGBIXEJX.json","graph_json":"https://pith.science/api/pith-number/J4PDV3SC6FZ44YON6MSGBIXEJX/graph.json","events_json":"https://pith.science/api/pith-number/J4PDV3SC6FZ44YON6MSGBIXEJX/events.json","paper":"https://pith.science/paper/J4PDV3SC"},"agent_actions":{"view_html":"https://pith.science/pith/J4PDV3SC6FZ44YON6MSGBIXEJX","download_json":"https://pith.science/pith/J4PDV3SC6FZ44YON6MSGBIXEJX.json","view_paper":"https://pith.science/paper/J4PDV3SC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2608.05306&json=true","fetch_graph":"https://pith.science/api/pith-number/J4PDV3SC6FZ44YON6MSGBIXEJX/graph.json","fetch_events":"https://pith.science/api/pith-number/J4PDV3SC6FZ44YON6MSGBIXEJX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/J4PDV3SC6FZ44YON6MSGBIXEJX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/J4PDV3SC6FZ44YON6MSGBIXEJX/action/storage_attestation","attest_author":"https://pith.science/pith/J4PDV3SC6FZ44YON6MSGBIXEJX/action/author_attestation","sign_citation":"https://pith.science/pith/J4PDV3SC6FZ44YON6MSGBIXEJX/action/citation_signature","submit_replication":"https://pith.science/pith/J4PDV3SC6FZ44YON6MSGBIXEJX/action/replication_record"}},"created_at":"2026-08-07T00:46:58.720451+00:00","updated_at":"2026-08-07T00:46:58.720451+00:00"}