{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:6M2UANDOWSEXMYJNCXL2BO6LMT","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"0fa672f92b5eb50d95089f011584beae20bb1433dd1551f1e747afceccdb6414","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2025-09-16T14:19:47Z","title_canon_sha256":"d33b9007440057d1c45825ad87f180781449bbb16b122084c9ad9f351066a187"},"schema_version":"1.0","source":{"id":"2509.13114","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.13114","created_at":"2026-06-10T01:09:43Z"},{"alias_kind":"arxiv_version","alias_value":"2509.13114v1","created_at":"2026-06-10T01:09:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.13114","created_at":"2026-06-10T01:09:43Z"},{"alias_kind":"pith_short_12","alias_value":"6M2UANDOWSEX","created_at":"2026-06-10T01:09:43Z"},{"alias_kind":"pith_short_16","alias_value":"6M2UANDOWSEXMYJN","created_at":"2026-06-10T01:09:43Z"},{"alias_kind":"pith_short_8","alias_value":"6M2UANDO","created_at":"2026-06-10T01:09:43Z"}],"graph_snapshots":[{"event_id":"sha256:3b5d618a6a21886180a3be0d72ccf9d93db0089fd6b5cc5e4a89e6635d62a9c6","target":"graph","created_at":"2026-06-10T01:09:43Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2509.13114/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Lattice relaxation profoundly reshapes electronic structures in twisted materials. Prevailing treatments, however, typically rely on large-scale density functional theory (DFT), which is computationally costly and mechanistically opaque. Here, we develop a unified analytical framework to overcome these limitations. From continuum elastic theory, we derive closed-form solutions for both in-plane and out-of-plane relaxation fields. We further introduce an analytical phase factor expansion theory that maps relaxation into the electronic Hamiltonian. By applying this framework, the relaxation-medi","authors_text":"Bingbing Wang, Cheng-Cheng Liu, Junxi Yu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2025-09-16T14:19:47Z","title":"Relaxation and Its Effects on Electronic Structure in Twisted Systems: An Analytical Perspective"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.13114","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:f12feb19ac75c5b628d4c53518e4d70f61e668de3bc444f1e7a1f74f75d00187","target":"record","created_at":"2026-06-10T01:09:43Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"0fa672f92b5eb50d95089f011584beae20bb1433dd1551f1e747afceccdb6414","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2025-09-16T14:19:47Z","title_canon_sha256":"d33b9007440057d1c45825ad87f180781449bbb16b122084c9ad9f351066a187"},"schema_version":"1.0","source":{"id":"2509.13114","kind":"arxiv","version":1}},"canonical_sha256":"f33540346eb48976612d15d7a0bbcb64c15415251a5ea3caa2f618c2b5ac67e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f33540346eb48976612d15d7a0bbcb64c15415251a5ea3caa2f618c2b5ac67e5","first_computed_at":"2026-06-10T01:09:43.362534Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-10T01:09:43.362534Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GBUS8Lnh6tAu30QAqRYtGw7CehJ+o6YtgBoNKvYN7k7i84ObRpyNJXfCh2tMjTdvjlIvA6tdxkaYvqsMS+0VAQ==","signature_status":"signed_v1","signed_at":"2026-06-10T01:09:43.363171Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.13114","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f12feb19ac75c5b628d4c53518e4d70f61e668de3bc444f1e7a1f74f75d00187","sha256:3b5d618a6a21886180a3be0d72ccf9d93db0089fd6b5cc5e4a89e6635d62a9c6"],"state_sha256":"dd97b140b9f05a7e5efdadcff3ecf29cb1c15a93294acbe2655307b2f2cbd542"}