{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:UZP77SELHFYKOPSZJZ5WBYPY2B","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":"e0e517e2a57f5e69356edec50f751e070b927f1b54b718c2496e7a078d0709fd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-06-11T11:51:52Z","title_canon_sha256":"2e72bd39099b13aa70cdab47690f9dea9a10bdc3d7c6d191b0ed38c1db4a5499"},"schema_version":"1.0","source":{"id":"2606.13237","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.13237","created_at":"2026-06-12T01:09:48Z"},{"alias_kind":"arxiv_version","alias_value":"2606.13237v1","created_at":"2026-06-12T01:09:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.13237","created_at":"2026-06-12T01:09:48Z"},{"alias_kind":"pith_short_12","alias_value":"UZP77SELHFYK","created_at":"2026-06-12T01:09:48Z"},{"alias_kind":"pith_short_16","alias_value":"UZP77SELHFYKOPSZ","created_at":"2026-06-12T01:09:48Z"},{"alias_kind":"pith_short_8","alias_value":"UZP77SEL","created_at":"2026-06-12T01:09:48Z"}],"graph_snapshots":[{"event_id":"sha256:8e1d984ca4d978e234230199db57d514d51863bac3e62723ead81993a20d22e1","target":"graph","created_at":"2026-06-12T01:09:48Z","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/2606.13237/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Two-dimensional ferroic materials exhibit rich and intriguing physical phenomena, but their response properties generally depend sensitively on thickness, requiring precise layer-number control and thereby limiting practical applications. Here, we propose a general strategy for realizing thickness-independent quantum geometric responses through symmetry engineering induced by interlayer antiferroic coupling. Using spatial-dependent symmetry analysis, we show that thickness-independent behavior emerges when the symmetry breaking required for a given response is generated by interlayer antiferro","authors_text":"Huaqing Huang, Zhiming Xu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-06-11T11:51:52Z","title":"Thickness-Independent Quantum Geometric Responses Driven by Interlayer Antiferroic Coupling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.13237","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":"sha256:5204335134441e6633d9e817e61cdbf510036ee114150fac3eb80218c8aa2382","target":"record","created_at":"2026-06-12T01:09:48Z","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":"e0e517e2a57f5e69356edec50f751e070b927f1b54b718c2496e7a078d0709fd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-06-11T11:51:52Z","title_canon_sha256":"2e72bd39099b13aa70cdab47690f9dea9a10bdc3d7c6d191b0ed38c1db4a5499"},"schema_version":"1.0","source":{"id":"2606.13237","kind":"arxiv","version":1}},"canonical_sha256":"a65fffc88b3970a73e594e7b60e1f8d06ffbaac90d46ae7b0b388e800b3064c5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a65fffc88b3970a73e594e7b60e1f8d06ffbaac90d46ae7b0b388e800b3064c5","first_computed_at":"2026-06-12T01:09:48.236404Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-12T01:09:48.236404Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+k7VeXNZu58BkkH3LKUavYhMl9OK4keKd7ENdeT3/+P53VFEs8eCDhI21uCjtKlb6d5tCBPSjrd8n3EucoLfCg==","signature_status":"signed_v1","signed_at":"2026-06-12T01:09:48.237087Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.13237","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5204335134441e6633d9e817e61cdbf510036ee114150fac3eb80218c8aa2382","sha256:8e1d984ca4d978e234230199db57d514d51863bac3e62723ead81993a20d22e1"],"state_sha256":"2b9db7a442e1b7a7c86061257ddca744ed2bef8c128f8dc3980e1bb9afc38385"}