{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:EDQF524GZLZA2JKNYXE6HJFUKG","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":"b81f012219995e0e1cccfa87e310fd13acc3cd013a1438aca46f78e2c6393d97","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-10-05T14:36:16Z","title_canon_sha256":"dedf458308d4f699ba7654771d5043d98be534aea530b9cd845f5d94b81205ad"},"schema_version":"1.0","source":{"id":"1610.01447","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.01447","created_at":"2026-05-18T00:35:24Z"},{"alias_kind":"arxiv_version","alias_value":"1610.01447v2","created_at":"2026-05-18T00:35:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.01447","created_at":"2026-05-18T00:35:24Z"},{"alias_kind":"pith_short_12","alias_value":"EDQF524GZLZA","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"EDQF524GZLZA2JKN","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"EDQF524G","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:1a80ca4507148c5f7a2e8896b0f72ef8a7d97a96902c2c291adcc544d8b577e5","target":"graph","created_at":"2026-05-18T00:35:24Z","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"},"paper":{"abstract_excerpt":"Understanding the microscopic mechanism of coexisting long-range orders (such as lattice supersolidity) in strongly correlated systems is a subject of immense interest. We study the possible manifestations of long-range orders, including lattice-supersolid phases with differently broken symmetry, in a two-dimensional square lattice system of hard-core bosons (HCBs) coupled to archetypal cooperative/coherent normal-mode distortions such as those in perovskites. At strong HCB-phonon coupling, using a duality transformation to map the strong-coupling problem to a weak-coupling one, we obtain an e","authors_text":"Amrita Ghosh, Sudhakar Yarlagadda","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-10-05T14:36:16Z","title":"Study of long-range orders of hard-core bosons coupled to cooperative normal modes in two-dimensional lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.01447","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:d0bbe79b858312bb56e17427b84dcb9452e3d9d70d0a02cde834c87e7783adc5","target":"record","created_at":"2026-05-18T00:35:24Z","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":"b81f012219995e0e1cccfa87e310fd13acc3cd013a1438aca46f78e2c6393d97","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-10-05T14:36:16Z","title_canon_sha256":"dedf458308d4f699ba7654771d5043d98be534aea530b9cd845f5d94b81205ad"},"schema_version":"1.0","source":{"id":"1610.01447","kind":"arxiv","version":2}},"canonical_sha256":"20e05eeb86caf20d254dc5c9e3a4b4519f942f27ac99743c4807a51e989a9acf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"20e05eeb86caf20d254dc5c9e3a4b4519f942f27ac99743c4807a51e989a9acf","first_computed_at":"2026-05-18T00:35:24.562660Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:24.562660Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aHvYzr1vgAWoDmwSrhEOiBPr0RB+M39/D1Ohw2WkCEpVSkFThMgtQU9Ck33IPcYmSVeN/AKGqDpID6JNFaKMBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:24.563352Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.01447","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d0bbe79b858312bb56e17427b84dcb9452e3d9d70d0a02cde834c87e7783adc5","sha256:1a80ca4507148c5f7a2e8896b0f72ef8a7d97a96902c2c291adcc544d8b577e5"],"state_sha256":"d356a1100fe9451d3cbf30edc66ab7f7d124f52a70de2726bbfb9cdb50628e32"}