{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:E3MRUHPDRBO7KQLLLJG6AFE7YL","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":"194e691205118f5a8a367ddb02a60a3460eb86d4baa3345a8b4bd8751189cb73","cross_cats_sorted":["cond-mat.quant-gas","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2010-07-29T10:27:01Z","title_canon_sha256":"02ec259591e1622d0658957ee0165c5183dc3f7f0e032c79b22447977710ed26"},"schema_version":"1.0","source":{"id":"1007.5177","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.5177","created_at":"2026-05-18T04:24:36Z"},{"alias_kind":"arxiv_version","alias_value":"1007.5177v4","created_at":"2026-05-18T04:24:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.5177","created_at":"2026-05-18T04:24:36Z"},{"alias_kind":"pith_short_12","alias_value":"E3MRUHPDRBO7","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"E3MRUHPDRBO7KQLL","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"E3MRUHPD","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:2f051a0d24a6c21dbc8360cf34bb8cad2e5d4123c08ca370a4ab035a1b514b00","target":"graph","created_at":"2026-05-18T04:24:36Z","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":"We study the zero temperature phase diagram of the disordered spin-1 Bose-Hubbard model in a 2-dimensional square lattice. To this aim, we use a mean field Gutzwiller ansatz and a probabilistic mean field perturbation theory. The spin interaction induces two different regimes corresponding to a ferromagnetic and antiferromagnetic order. In the ferromagnetic case, the introduction of disorder reproduces analogous features of the disordered scalar Bose-Hubbard model, consisting in the formation of a Bose glass phase between Mott insulator lobes. In the antiferromagnetic regime the phase diagram ","authors_text":"Anna Sanpera, Jakub Zakrzewski, Mateusz Lacki, Simone Paganelli, Veronica Ahufinger","cross_cats":["cond-mat.quant-gas","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2010-07-29T10:27:01Z","title":"Disordered spinor Bose-Hubbard model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.5177","kind":"arxiv","version":4},"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:ca2365339f201e28844ff04825be2ba35cbc58ec314f65d7d375ef5f2d442902","target":"record","created_at":"2026-05-18T04:24:36Z","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":"194e691205118f5a8a367ddb02a60a3460eb86d4baa3345a8b4bd8751189cb73","cross_cats_sorted":["cond-mat.quant-gas","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2010-07-29T10:27:01Z","title_canon_sha256":"02ec259591e1622d0658957ee0165c5183dc3f7f0e032c79b22447977710ed26"},"schema_version":"1.0","source":{"id":"1007.5177","kind":"arxiv","version":4}},"canonical_sha256":"26d91a1de3885df5416b5a4de0149fc2d6dc9774d0efe51a737cfefce74a66e2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"26d91a1de3885df5416b5a4de0149fc2d6dc9774d0efe51a737cfefce74a66e2","first_computed_at":"2026-05-18T04:24:36.285870Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:36.285870Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iE6OE7ehOahqeC4Yznrd40Ytu4DnECMMV/t9SLMcEfyICTDZ1Pfb7SyqWrQDoKbwZDQsNNwBOONW1mvqF7T5Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:36.286281Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.5177","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca2365339f201e28844ff04825be2ba35cbc58ec314f65d7d375ef5f2d442902","sha256:2f051a0d24a6c21dbc8360cf34bb8cad2e5d4123c08ca370a4ab035a1b514b00"],"state_sha256":"2aa5ca8eb4685880cef1a022748a54a57b18d2d51deac6520ed9ebf495675c0e"}