{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:D7CIB3CCNXHKM5QRX2C6QLJL7L","short_pith_number":"pith:D7CIB3CC","schema_version":"1.0","canonical_sha256":"1fc480ec426dcea67611be85e82d2bfacd47c28f78ddce282ec3f4aaf4db672f","source":{"kind":"arxiv","id":"2607.26586","version":1},"attestation_state":"computed","paper":{"title":"Percolating Multifractal Domains at a Polymorphic Phase Boundary","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Jiahui Zhai, Shi Liu, Xu Tian, Yuan-Jinsheng Liu","submitted_at":"2026-07-29T08:06:22Z","abstract_excerpt":"Giant piezoelectricity in ferroelectrics is commonly associated with phase-boundary instabilities, among which the polymorphic phase boundary (PPB) is a prominent example conventionally attributed to the coexistence of ferroelectric phases. Here, using large-scale molecular dynamics simulations of the lead-free (K,Na)NbO3-(Bi,Na)ZrO3 solid solutions, we show that the PPB hosts a percolating multifractal polar domain which governs the dielectric and piezoelectric responses. By quantifying the global fractal dimension and multifractal spectrum width of this polar network, we identify fractal con"},"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":"2607.26586","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-07-29T08:06:22Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"68cbc0c20c311f3c17991faef1ec2229f85bdc7755db406debee846328cf0558","abstract_canon_sha256":"8f7a53f11d4c3a917312260eb9f5a25765fc0e1e0bc3c85e8794332d985acff8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1fc480ec426dcea67611be85e82d2bfacd47c28f78ddce282ec3f4aaf4db672f","last_reissued_at":"2026-07-30T01:21:13.830706Z","signature_status":"unsigned_v0","first_computed_at":"2026-07-30T01:21:13.830706Z"},"graph_snapshot":{"paper":{"title":"Percolating Multifractal Domains at a Polymorphic Phase Boundary","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Jiahui Zhai, Shi Liu, Xu Tian, Yuan-Jinsheng Liu","submitted_at":"2026-07-29T08:06:22Z","abstract_excerpt":"Giant piezoelectricity in ferroelectrics is commonly associated with phase-boundary instabilities, among which the polymorphic phase boundary (PPB) is a prominent example conventionally attributed to the coexistence of ferroelectric phases. Here, using large-scale molecular dynamics simulations of the lead-free (K,Na)NbO3-(Bi,Na)ZrO3 solid solutions, we show that the PPB hosts a percolating multifractal polar domain which governs the dielectric and piezoelectric responses. By quantifying the global fractal dimension and multifractal spectrum width of this polar network, we identify fractal con"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.26586","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/2607.26586/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":"2607.26586","created_at":"2026-07-30T01:21:13.835865+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.26586v1","created_at":"2026-07-30T01:21:13.835865+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.26586","created_at":"2026-07-30T01:21:13.835865+00:00"},{"alias_kind":"pith_short_12","alias_value":"D7CIB3CCNXHK","created_at":"2026-07-30T01:21:13.835865+00:00"},{"alias_kind":"pith_short_16","alias_value":"D7CIB3CCNXHKM5QR","created_at":"2026-07-30T01:21:13.835865+00:00"},{"alias_kind":"pith_short_8","alias_value":"D7CIB3CC","created_at":"2026-07-30T01:21:13.835865+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/D7CIB3CCNXHKM5QRX2C6QLJL7L","json":"https://pith.science/pith/D7CIB3CCNXHKM5QRX2C6QLJL7L.json","graph_json":"https://pith.science/api/pith-number/D7CIB3CCNXHKM5QRX2C6QLJL7L/graph.json","events_json":"https://pith.science/api/pith-number/D7CIB3CCNXHKM5QRX2C6QLJL7L/events.json","paper":"https://pith.science/paper/D7CIB3CC"},"agent_actions":{"view_html":"https://pith.science/pith/D7CIB3CCNXHKM5QRX2C6QLJL7L","download_json":"https://pith.science/pith/D7CIB3CCNXHKM5QRX2C6QLJL7L.json","view_paper":"https://pith.science/paper/D7CIB3CC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.26586&json=true","fetch_graph":"https://pith.science/api/pith-number/D7CIB3CCNXHKM5QRX2C6QLJL7L/graph.json","fetch_events":"https://pith.science/api/pith-number/D7CIB3CCNXHKM5QRX2C6QLJL7L/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/D7CIB3CCNXHKM5QRX2C6QLJL7L/action/timestamp_anchor","attest_storage":"https://pith.science/pith/D7CIB3CCNXHKM5QRX2C6QLJL7L/action/storage_attestation","attest_author":"https://pith.science/pith/D7CIB3CCNXHKM5QRX2C6QLJL7L/action/author_attestation","sign_citation":"https://pith.science/pith/D7CIB3CCNXHKM5QRX2C6QLJL7L/action/citation_signature","submit_replication":"https://pith.science/pith/D7CIB3CCNXHKM5QRX2C6QLJL7L/action/replication_record"}},"created_at":"2026-07-30T01:21:13.835865+00:00","updated_at":"2026-07-30T01:21:13.835865+00:00"}