{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:I7ILAJHQGVAYJ5PHAROIW4GAO4","short_pith_number":"pith:I7ILAJHQ","schema_version":"1.0","canonical_sha256":"47d0b024f0354184f5e7045c8b70c0773cac0370a858fd40750f5c569745a1f0","source":{"kind":"arxiv","id":"1909.10591","version":1},"attestation_state":"computed","paper":{"title":"Stochastic Series Expansion Methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Anders W. Sandvik","submitted_at":"2019-09-23T19:36:44Z","abstract_excerpt":"The Stochastic Series Expansion (SSE) technique is a quantum Monte Carlo method that is especially efficient for many quantum spin systems and boson models. It was the first generic method free from the discretization errors affecting previous path integral based approaches. These lecture notes give a brief overview of the SSE method and its applications. In the introductory section, the representation of quantum statistical mechanics by the power series expansion of ${\\rm e}^{-\\beta H}$ will be compared with path integrals in discrete and continuous imaginary time. Extensions of the SSE appro"},"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":"1909.10591","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-09-23T19:36:44Z","cross_cats_sorted":[],"title_canon_sha256":"0676e9b35b7bfb01294290f2e514f287cfbdaf370c55c49eb5e118a626a9437b","abstract_canon_sha256":"cdc1ce1fd80d86355e4854c552de5090d54f71da60e9f2d94cc9053a024577bb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:06:22.119278Z","signature_b64":"FPG/lQURVa4FuYMcpB6ND1FVM+pJxv+vy/RGwZC5eEDupoowO5SAxWs4EV/NxSDKHpmCv0/qbyeJsKuOsZF6Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"47d0b024f0354184f5e7045c8b70c0773cac0370a858fd40750f5c569745a1f0","last_reissued_at":"2026-07-05T00:06:22.118767Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:06:22.118767Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stochastic Series Expansion Methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Anders W. Sandvik","submitted_at":"2019-09-23T19:36:44Z","abstract_excerpt":"The Stochastic Series Expansion (SSE) technique is a quantum Monte Carlo method that is especially efficient for many quantum spin systems and boson models. It was the first generic method free from the discretization errors affecting previous path integral based approaches. These lecture notes give a brief overview of the SSE method and its applications. In the introductory section, the representation of quantum statistical mechanics by the power series expansion of ${\\rm e}^{-\\beta H}$ will be compared with path integrals in discrete and continuous imaginary time. Extensions of the SSE appro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.10591","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/1909.10591/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":"1909.10591","created_at":"2026-07-05T00:06:22.118829+00:00"},{"alias_kind":"arxiv_version","alias_value":"1909.10591v1","created_at":"2026-07-05T00:06:22.118829+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.10591","created_at":"2026-07-05T00:06:22.118829+00:00"},{"alias_kind":"pith_short_12","alias_value":"I7ILAJHQGVAY","created_at":"2026-07-05T00:06:22.118829+00:00"},{"alias_kind":"pith_short_16","alias_value":"I7ILAJHQGVAYJ5PH","created_at":"2026-07-05T00:06:22.118829+00:00"},{"alias_kind":"pith_short_8","alias_value":"I7ILAJHQ","created_at":"2026-07-05T00:06:22.118829+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.29242","citing_title":"Winding-Sector Transitions and Thermodynamic Incommensurability in Helical Valence Bond Phase under Tilted Boundary Conditions","ref_index":25,"is_internal_anchor":false},{"citing_arxiv_id":"2606.12508","citing_title":"Mixed-dimensional quantum Monte Carlo studies of M-point moir\\'e materials","ref_index":18,"is_internal_anchor":false},{"citing_arxiv_id":"2606.12530","citing_title":"Hidden antiferromagnetism, persistent valley fluctuations, and $U(6)$ crossovers in triangular-lattice M-point moir\\'e materials via determinantal quantum Monte Carlo","ref_index":24,"is_internal_anchor":false},{"citing_arxiv_id":"2601.20058","citing_title":"Superfluidity in the spin-1/2 XY model with power-law interactions","ref_index":53,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/I7ILAJHQGVAYJ5PHAROIW4GAO4","json":"https://pith.science/pith/I7ILAJHQGVAYJ5PHAROIW4GAO4.json","graph_json":"https://pith.science/api/pith-number/I7ILAJHQGVAYJ5PHAROIW4GAO4/graph.json","events_json":"https://pith.science/api/pith-number/I7ILAJHQGVAYJ5PHAROIW4GAO4/events.json","paper":"https://pith.science/paper/I7ILAJHQ"},"agent_actions":{"view_html":"https://pith.science/pith/I7ILAJHQGVAYJ5PHAROIW4GAO4","download_json":"https://pith.science/pith/I7ILAJHQGVAYJ5PHAROIW4GAO4.json","view_paper":"https://pith.science/paper/I7ILAJHQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1909.10591&json=true","fetch_graph":"https://pith.science/api/pith-number/I7ILAJHQGVAYJ5PHAROIW4GAO4/graph.json","fetch_events":"https://pith.science/api/pith-number/I7ILAJHQGVAYJ5PHAROIW4GAO4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I7ILAJHQGVAYJ5PHAROIW4GAO4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I7ILAJHQGVAYJ5PHAROIW4GAO4/action/storage_attestation","attest_author":"https://pith.science/pith/I7ILAJHQGVAYJ5PHAROIW4GAO4/action/author_attestation","sign_citation":"https://pith.science/pith/I7ILAJHQGVAYJ5PHAROIW4GAO4/action/citation_signature","submit_replication":"https://pith.science/pith/I7ILAJHQGVAYJ5PHAROIW4GAO4/action/replication_record"}},"created_at":"2026-07-05T00:06:22.118829+00:00","updated_at":"2026-07-05T00:06:22.118829+00:00"}