{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:B3QH6REV2YBYNDYICOS32VRIOS","short_pith_number":"pith:B3QH6REV","schema_version":"1.0","canonical_sha256":"0ee07f4495d603868f0813a5bd562874943eeb852fffb60af05e0f9501f82f8e","source":{"kind":"arxiv","id":"2012.08468","version":1},"attestation_state":"computed","paper":{"title":"Worldvolume approach to the tempered Lefschetz thimble method","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th","physics.comp-ph"],"primary_cat":"hep-lat","authors_text":"Masafumi Fukuma, Nobuyuki Matsumoto","submitted_at":"2020-12-15T18:10:16Z","abstract_excerpt":"As a solution towards the numerical sign problem, we propose a novel Hybrid Monte Carlo algorithm, in which molecular dynamics is performed on a continuum set of integration surfaces foliated by the antiholomorphic gradient flow (\"the worldvolume of an integration surface\"). This is an extension of the tempered Lefschetz thimble method (TLTM), and solves the sign and multimodal problems simultaneously as the original TLTM does. Furthermore, in this new algorithm, one no longer needs to compute the Jacobian of the gradient flow in generating a configuration, and only needs to evaluate its phase"},"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":"2012.08468","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2020-12-15T18:10:16Z","cross_cats_sorted":["hep-th","physics.comp-ph"],"title_canon_sha256":"7fd6d02c66502fb30660ec396e7667e8ca8d8e8b3f8714d06034cd33348b0552","abstract_canon_sha256":"40490111f3307d2f6f9054a52824737c6dfb8153bc4955c79a95000a13c3d203"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:21:40.834782Z","signature_b64":"yeTGk3/N46GhTwbMJqnt+uHTc9LyA0RZMkEm/j598msgmCiYFB2MvTiu4dDavQFVFximv/kPq+D5Rvopxi8+Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ee07f4495d603868f0813a5bd562874943eeb852fffb60af05e0f9501f82f8e","last_reissued_at":"2026-07-05T02:21:40.834297Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:21:40.834297Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Worldvolume approach to the tempered Lefschetz thimble method","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th","physics.comp-ph"],"primary_cat":"hep-lat","authors_text":"Masafumi Fukuma, Nobuyuki Matsumoto","submitted_at":"2020-12-15T18:10:16Z","abstract_excerpt":"As a solution towards the numerical sign problem, we propose a novel Hybrid Monte Carlo algorithm, in which molecular dynamics is performed on a continuum set of integration surfaces foliated by the antiholomorphic gradient flow (\"the worldvolume of an integration surface\"). This is an extension of the tempered Lefschetz thimble method (TLTM), and solves the sign and multimodal problems simultaneously as the original TLTM does. Furthermore, in this new algorithm, one no longer needs to compute the Jacobian of the gradient flow in generating a configuration, and only needs to evaluate its phase"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.08468","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/2012.08468/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":"2012.08468","created_at":"2026-07-05T02:21:40.834367+00:00"},{"alias_kind":"arxiv_version","alias_value":"2012.08468v1","created_at":"2026-07-05T02:21:40.834367+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.08468","created_at":"2026-07-05T02:21:40.834367+00:00"},{"alias_kind":"pith_short_12","alias_value":"B3QH6REV2YBY","created_at":"2026-07-05T02:21:40.834367+00:00"},{"alias_kind":"pith_short_16","alias_value":"B3QH6REV2YBYNDYI","created_at":"2026-07-05T02:21:40.834367+00:00"},{"alias_kind":"pith_short_8","alias_value":"B3QH6REV","created_at":"2026-07-05T02:21:40.834367+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2507.23748","citing_title":"Applying the Worldvolume Hybrid Monte Carlo method to the Hubbard model away from half filling","ref_index":13,"is_internal_anchor":false},{"citing_arxiv_id":"2508.02659","citing_title":"Enhancing the ergodicity of Worldvolume HMC via embedding generalized thimble HMC","ref_index":12,"is_internal_anchor":false},{"citing_arxiv_id":"2603.16230","citing_title":"Lattice QCD at finite temperature and density","ref_index":56,"is_internal_anchor":false},{"citing_arxiv_id":"2605.14965","citing_title":"Analyzing the two-dimensional doped Hubbard model with the Worldvolume HMC method","ref_index":19,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/B3QH6REV2YBYNDYICOS32VRIOS","json":"https://pith.science/pith/B3QH6REV2YBYNDYICOS32VRIOS.json","graph_json":"https://pith.science/api/pith-number/B3QH6REV2YBYNDYICOS32VRIOS/graph.json","events_json":"https://pith.science/api/pith-number/B3QH6REV2YBYNDYICOS32VRIOS/events.json","paper":"https://pith.science/paper/B3QH6REV"},"agent_actions":{"view_html":"https://pith.science/pith/B3QH6REV2YBYNDYICOS32VRIOS","download_json":"https://pith.science/pith/B3QH6REV2YBYNDYICOS32VRIOS.json","view_paper":"https://pith.science/paper/B3QH6REV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2012.08468&json=true","fetch_graph":"https://pith.science/api/pith-number/B3QH6REV2YBYNDYICOS32VRIOS/graph.json","fetch_events":"https://pith.science/api/pith-number/B3QH6REV2YBYNDYICOS32VRIOS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B3QH6REV2YBYNDYICOS32VRIOS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B3QH6REV2YBYNDYICOS32VRIOS/action/storage_attestation","attest_author":"https://pith.science/pith/B3QH6REV2YBYNDYICOS32VRIOS/action/author_attestation","sign_citation":"https://pith.science/pith/B3QH6REV2YBYNDYICOS32VRIOS/action/citation_signature","submit_replication":"https://pith.science/pith/B3QH6REV2YBYNDYICOS32VRIOS/action/replication_record"}},"created_at":"2026-07-05T02:21:40.834367+00:00","updated_at":"2026-07-05T02:21:40.834367+00:00"}