{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:NWASPBUSHQACNVTNKZ7SR5WY7J","short_pith_number":"pith:NWASPBUS","schema_version":"1.0","canonical_sha256":"6d812786923c0026d66d567f28f6d8fa675666d6f2e568d46a6964203e7a5e4e","source":{"kind":"arxiv","id":"1205.5185","version":2},"attestation_state":"computed","paper":{"title":"Fate of the cluster state on the square lattice in a magnetic field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"D. Klagges, H. Kalis, K.P. Schmidt, R. Orus","submitted_at":"2012-05-23T14:22:04Z","abstract_excerpt":"The cluster state represents a highly entangled state which is one central object for measurement-based quantum computing. Here we study the robustness of the cluster state on the two-dimensional square lattice at zero temperature in the presence of external magnetic fields by means of different types of high-order series expansions and variational techniques using infinite Projected Entangled Pair States (iPEPS). The phase diagram displays a first-order phase transition line ending in two critical end points. Furthermore, it contains a characteristic self-dual line in parameter space allowing"},"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":"1205.5185","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-05-23T14:22:04Z","cross_cats_sorted":[],"title_canon_sha256":"4a96271e033c214baced71d649192a9a8eba05f77465e04a0f3f13d13432adec","abstract_canon_sha256":"6bff4e9297dec47ad557c35ceafa56662040771c95dad24e48c2a6415f9d9cd9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:46:06.808879Z","signature_b64":"ur2AtxLQFKTgK7SPovK0zFA+E9zb0qjDYc50o2PUbYghwIrW7aGRE473wqP6bIC9AizEU0fsvjsHPPecRDBTCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6d812786923c0026d66d567f28f6d8fa675666d6f2e568d46a6964203e7a5e4e","last_reissued_at":"2026-05-18T03:46:06.808348Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:46:06.808348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fate of the cluster state on the square lattice in a magnetic field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"D. Klagges, H. Kalis, K.P. Schmidt, R. Orus","submitted_at":"2012-05-23T14:22:04Z","abstract_excerpt":"The cluster state represents a highly entangled state which is one central object for measurement-based quantum computing. Here we study the robustness of the cluster state on the two-dimensional square lattice at zero temperature in the presence of external magnetic fields by means of different types of high-order series expansions and variational techniques using infinite Projected Entangled Pair States (iPEPS). The phase diagram displays a first-order phase transition line ending in two critical end points. Furthermore, it contains a characteristic self-dual line in parameter space allowing"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.5185","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1205.5185","created_at":"2026-05-18T03:46:06.808444+00:00"},{"alias_kind":"arxiv_version","alias_value":"1205.5185v2","created_at":"2026-05-18T03:46:06.808444+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.5185","created_at":"2026-05-18T03:46:06.808444+00:00"},{"alias_kind":"pith_short_12","alias_value":"NWASPBUSHQAC","created_at":"2026-05-18T12:27:16.716162+00:00"},{"alias_kind":"pith_short_16","alias_value":"NWASPBUSHQACNVTN","created_at":"2026-05-18T12:27:16.716162+00:00"},{"alias_kind":"pith_short_8","alias_value":"NWASPBUS","created_at":"2026-05-18T12:27:16.716162+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/NWASPBUSHQACNVTNKZ7SR5WY7J","json":"https://pith.science/pith/NWASPBUSHQACNVTNKZ7SR5WY7J.json","graph_json":"https://pith.science/api/pith-number/NWASPBUSHQACNVTNKZ7SR5WY7J/graph.json","events_json":"https://pith.science/api/pith-number/NWASPBUSHQACNVTNKZ7SR5WY7J/events.json","paper":"https://pith.science/paper/NWASPBUS"},"agent_actions":{"view_html":"https://pith.science/pith/NWASPBUSHQACNVTNKZ7SR5WY7J","download_json":"https://pith.science/pith/NWASPBUSHQACNVTNKZ7SR5WY7J.json","view_paper":"https://pith.science/paper/NWASPBUS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1205.5185&json=true","fetch_graph":"https://pith.science/api/pith-number/NWASPBUSHQACNVTNKZ7SR5WY7J/graph.json","fetch_events":"https://pith.science/api/pith-number/NWASPBUSHQACNVTNKZ7SR5WY7J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NWASPBUSHQACNVTNKZ7SR5WY7J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NWASPBUSHQACNVTNKZ7SR5WY7J/action/storage_attestation","attest_author":"https://pith.science/pith/NWASPBUSHQACNVTNKZ7SR5WY7J/action/author_attestation","sign_citation":"https://pith.science/pith/NWASPBUSHQACNVTNKZ7SR5WY7J/action/citation_signature","submit_replication":"https://pith.science/pith/NWASPBUSHQACNVTNKZ7SR5WY7J/action/replication_record"}},"created_at":"2026-05-18T03:46:06.808444+00:00","updated_at":"2026-05-18T03:46:06.808444+00:00"}