{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:VMR2GW5YFJIU3ZYPRFSAE2NSZ2","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":"5135234202cb653515e86da021c19924c20715595381632f850f8a1362a01cb0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-03-17T15:26:22Z","title_canon_sha256":"ac2b5c03f28825c208479661d9ddf1b2dc4f95cfbb8d31fefb2b137634480375"},"schema_version":"1.0","source":{"id":"1503.05088","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.05088","created_at":"2026-05-18T01:22:08Z"},{"alias_kind":"arxiv_version","alias_value":"1503.05088v2","created_at":"2026-05-18T01:22:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.05088","created_at":"2026-05-18T01:22:08Z"},{"alias_kind":"pith_short_12","alias_value":"VMR2GW5YFJIU","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"VMR2GW5YFJIU3ZYP","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"VMR2GW5Y","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:3a60ae871cf2a1032f079a8fa6bdb2705f8e6e9367ea426a4f423fae95bf92fd","target":"graph","created_at":"2026-05-18T01:22:08Z","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 apply the Quasi Monte Carlo (QMC) and recursive numerical integration methods to evaluate the Euclidean, discretized time path-integral for the quantum mechanical anharmonic oscillator and a topological quantum mechanical rotor model. For the anharmonic oscillator both methods outperform standard Markov Chain Monte Carlo methods and show a significantly improved error scaling. For the quantum mechanical rotor we could, however, not find a successful way employing QMC. On the other hand, the recursive numerical integration method works extremely well for this model and shows an at least expo","authors_text":"A. Ammon, A. Genz, H. Le\\\"ovey, J. Volmer, K. Jansen, T. Hartung","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-03-17T15:26:22Z","title":"On the efficient numerical solution of lattice systems with low-order couplings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.05088","kind":"arxiv","version":2},"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":"sha256:9f2d732225767dadec3760c70da54cd9ce18964003f44e9db6f6234b360f2bb5","target":"record","created_at":"2026-05-18T01:22:08Z","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":"5135234202cb653515e86da021c19924c20715595381632f850f8a1362a01cb0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-03-17T15:26:22Z","title_canon_sha256":"ac2b5c03f28825c208479661d9ddf1b2dc4f95cfbb8d31fefb2b137634480375"},"schema_version":"1.0","source":{"id":"1503.05088","kind":"arxiv","version":2}},"canonical_sha256":"ab23a35bb82a514de70f89640269b2ce916d22267efc97a444a26c10cc2dd12e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ab23a35bb82a514de70f89640269b2ce916d22267efc97a444a26c10cc2dd12e","first_computed_at":"2026-05-18T01:22:08.125080Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:08.125080Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pZH1EpRdq8vxVvwK6U0RtJlZzsMNsY1wmqI2JWG5hcSE92P5/7hOXiTJBrWWdGMFa2zNwWMCWScstm4w/TAuAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:08.125800Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.05088","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9f2d732225767dadec3760c70da54cd9ce18964003f44e9db6f6234b360f2bb5","sha256:3a60ae871cf2a1032f079a8fa6bdb2705f8e6e9367ea426a4f423fae95bf92fd"],"state_sha256":"e9701cf708929fff3266ddf9024d9304bc9dfa3b29ff39b3e90ef8c6eafa6312"}