{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:7WDKZJ6OD7ZDQC7RSQLXUTS5CF","short_pith_number":"pith:7WDKZJ6O","schema_version":"1.0","canonical_sha256":"fd86aca7ce1ff2380bf194177a4e5d1151bd40dd062d89c6670d2f7343b05883","source":{"kind":"arxiv","id":"1506.07179","version":1},"attestation_state":"computed","paper":{"title":"Efficient variational diagonalization of fully many-body localized Hamiltonians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.str-el","authors_text":"Frank Pollmann, J. Ignacio Cirac, S. L. Sondhi, Vedika Khemani","submitted_at":"2015-06-23T20:01:03Z","abstract_excerpt":"We introduce a unitary matrix-product operator (UMPO) based variational method that approximately finds all the eigenstates of fully many-body localized (fMBL) one-dimensional Hamiltonians. The computational cost of the variational optimization scales linearly with system size for a fixed bond dimension of the UMPO ansatz. We demonstrate the usefulness of our approach by considering the Heisenberg chain in a strongly disordered magnetic field for which we compare the approximation to exact diagonalization results."},"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":"1506.07179","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-06-23T20:01:03Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"befcc651db4d72bc5cd55f0f8cb208bab30a4db8e580ae7cb5c90e1e301674c4","abstract_canon_sha256":"11f1620192ef9da1c7eb72231f5a87fcd2cf38332ff5d3af6d480d3725f9675c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:10.491382Z","signature_b64":"fWZxt5+VWNzOYYeT6llTH0h9s61KzS9QDnYo3SmnEikFkOVhyEEtzQdyolj3IFkJtlUPR1enNYgBQbxIk8SHAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fd86aca7ce1ff2380bf194177a4e5d1151bd40dd062d89c6670d2f7343b05883","last_reissued_at":"2026-05-18T01:10:10.490758Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:10.490758Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Efficient variational diagonalization of fully many-body localized Hamiltonians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.str-el","authors_text":"Frank Pollmann, J. Ignacio Cirac, S. L. Sondhi, Vedika Khemani","submitted_at":"2015-06-23T20:01:03Z","abstract_excerpt":"We introduce a unitary matrix-product operator (UMPO) based variational method that approximately finds all the eigenstates of fully many-body localized (fMBL) one-dimensional Hamiltonians. The computational cost of the variational optimization scales linearly with system size for a fixed bond dimension of the UMPO ansatz. We demonstrate the usefulness of our approach by considering the Heisenberg chain in a strongly disordered magnetic field for which we compare the approximation to exact diagonalization results."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.07179","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":""},"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":"1506.07179","created_at":"2026-05-18T01:10:10.490852+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.07179v1","created_at":"2026-05-18T01:10:10.490852+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.07179","created_at":"2026-05-18T01:10:10.490852+00:00"},{"alias_kind":"pith_short_12","alias_value":"7WDKZJ6OD7ZD","created_at":"2026-05-18T12:29:10.953037+00:00"},{"alias_kind":"pith_short_16","alias_value":"7WDKZJ6OD7ZDQC7R","created_at":"2026-05-18T12:29:10.953037+00:00"},{"alias_kind":"pith_short_8","alias_value":"7WDKZJ6O","created_at":"2026-05-18T12:29:10.953037+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/7WDKZJ6OD7ZDQC7RSQLXUTS5CF","json":"https://pith.science/pith/7WDKZJ6OD7ZDQC7RSQLXUTS5CF.json","graph_json":"https://pith.science/api/pith-number/7WDKZJ6OD7ZDQC7RSQLXUTS5CF/graph.json","events_json":"https://pith.science/api/pith-number/7WDKZJ6OD7ZDQC7RSQLXUTS5CF/events.json","paper":"https://pith.science/paper/7WDKZJ6O"},"agent_actions":{"view_html":"https://pith.science/pith/7WDKZJ6OD7ZDQC7RSQLXUTS5CF","download_json":"https://pith.science/pith/7WDKZJ6OD7ZDQC7RSQLXUTS5CF.json","view_paper":"https://pith.science/paper/7WDKZJ6O","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.07179&json=true","fetch_graph":"https://pith.science/api/pith-number/7WDKZJ6OD7ZDQC7RSQLXUTS5CF/graph.json","fetch_events":"https://pith.science/api/pith-number/7WDKZJ6OD7ZDQC7RSQLXUTS5CF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7WDKZJ6OD7ZDQC7RSQLXUTS5CF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7WDKZJ6OD7ZDQC7RSQLXUTS5CF/action/storage_attestation","attest_author":"https://pith.science/pith/7WDKZJ6OD7ZDQC7RSQLXUTS5CF/action/author_attestation","sign_citation":"https://pith.science/pith/7WDKZJ6OD7ZDQC7RSQLXUTS5CF/action/citation_signature","submit_replication":"https://pith.science/pith/7WDKZJ6OD7ZDQC7RSQLXUTS5CF/action/replication_record"}},"created_at":"2026-05-18T01:10:10.490852+00:00","updated_at":"2026-05-18T01:10:10.490852+00:00"}