{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:WY6MF46B7V6FYILFQQHJTZTWM2","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":"dc47e66f6461e917faf9ac4ca51e45be5a4e77d3a82faabbc9caf19c7206c162","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2024-12-11T18:28:25Z","title_canon_sha256":"8a55243a484ddf9a65433999c27d097685ac35bb19ccd6a40ce3bfff8e987d53"},"schema_version":"1.0","source":{"id":"2412.08607","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.08607","created_at":"2026-07-05T11:05:22Z"},{"alias_kind":"arxiv_version","alias_value":"2412.08607v2","created_at":"2026-07-05T11:05:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.08607","created_at":"2026-07-05T11:05:22Z"},{"alias_kind":"pith_short_12","alias_value":"WY6MF46B7V6F","created_at":"2026-07-05T11:05:22Z"},{"alias_kind":"pith_short_16","alias_value":"WY6MF46B7V6FYILF","created_at":"2026-07-05T11:05:22Z"},{"alias_kind":"pith_short_8","alias_value":"WY6MF46B","created_at":"2026-07-05T11:05:22Z"}],"graph_snapshots":[{"event_id":"sha256:ad0d6793288553377691a9ac9a58a636c221adbfd1f4c4f012e64467fa5818a7","target":"graph","created_at":"2026-07-05T11:05:22Z","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/2412.08607/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the robustness of {\\it virtual} topological states -- topological phases away from the Fermi energy -- against the electron-electron interaction and band filling. As a case study, we employ a realistic model to investigate the properties of vacancy-driven topological phases in transition metal dichalcogenides (TMDs) and establish a connection between the degree of localization of topological wave functions, the vacancy density, and the electron-electron interaction strength with the topological phase robustness. We demonstrate that electron-electron interactions play a crucial r","authors_text":"Adalberto Fazzio, Caio Lewenkopf, Felipe Crasto de Lima, Roberto H. Miwa","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2024-12-11T18:28:25Z","title":"Interacting Virtual Topological Phases in Defect-Rich 2D Materials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.08607","kind":"arxiv","version":2},"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":"sha256:8e0d919527987d0bd0ad157dcaf810566cc027c77a1bb1c31fbd23f4978c73d9","target":"record","created_at":"2026-07-05T11:05:22Z","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":"dc47e66f6461e917faf9ac4ca51e45be5a4e77d3a82faabbc9caf19c7206c162","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2024-12-11T18:28:25Z","title_canon_sha256":"8a55243a484ddf9a65433999c27d097685ac35bb19ccd6a40ce3bfff8e987d53"},"schema_version":"1.0","source":{"id":"2412.08607","kind":"arxiv","version":2}},"canonical_sha256":"b63cc2f3c1fd7c5c2165840e99e67666966d551d8425a414f4308b0b4fa04340","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b63cc2f3c1fd7c5c2165840e99e67666966d551d8425a414f4308b0b4fa04340","first_computed_at":"2026-07-05T11:05:22.503346Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:05:22.503346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/an0HE+bLenCPq6MuFyzYXwM9e/Ch2hjd2NK9/si8id3VcHyLL8Xt0VClDmXywWIHdoxysNsJ0ymc7y0eC65CQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:05:22.503825Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.08607","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e0d919527987d0bd0ad157dcaf810566cc027c77a1bb1c31fbd23f4978c73d9","sha256:ad0d6793288553377691a9ac9a58a636c221adbfd1f4c4f012e64467fa5818a7"],"state_sha256":"8b225d051b8b8d59d0e9be3e43ddcc3282aebfc90e5d86dcf7e73e31b364e4f4"}