{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:BECFVI6FG3YOJVNUCJNRJJ4P6O","short_pith_number":"pith:BECFVI6F","schema_version":"1.0","canonical_sha256":"09045aa3c536f0e4d5b4125b14a78ff39aaf8abf3dd2494c58cc0b3cafc92281","source":{"kind":"arxiv","id":"0911.5154","version":2},"attestation_state":"computed","paper":{"title":"Properties of Quantum Systems via Diagonalization of Transition Amplitudes II: Systematic Improvements of Short-time Propagation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","hep-th","physics.comp-ph","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Aleksandar Belic, Aleksandar Bogojevic, Antun Balaz, Ivana Vidanovic","submitted_at":"2009-11-26T21:14:31Z","abstract_excerpt":"In this paper, building on a previous analysis [1] of exact diagonalization of the space-discretized evolution operator for the study of properties of non-relativistic quantum systems, we present a substantial improvement to this method. We apply recently introduced effective action approach for obtaining short-time expansion of the propagator up to very high orders to calculate matrix elements of space-discretized evolution operator. This improves by many orders of magnitude previously used approximations for discretized matrix elements and allows us to numerically obtain large numbers of acc"},"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":"0911.5154","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-11-26T21:14:31Z","cross_cats_sorted":["cond-mat.quant-gas","hep-th","physics.comp-ph","quant-ph"],"title_canon_sha256":"6187f6b107c603e52f2fc1756606f97be15503c8b848086f9dac371669ebc8e5","abstract_canon_sha256":"db14c4242d908a95e415e361b157cf8240529e0eee99f923f1c2800692783f6b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:16:12.251756Z","signature_b64":"6ytIdO3ecM0v62WLwTMXNH7U9/OJ9VsNYzfsZyO5aEo8mCAKaw2rcZqE7lzB2gcGni3toTe0e5yScuXDwKsmBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"09045aa3c536f0e4d5b4125b14a78ff39aaf8abf3dd2494c58cc0b3cafc92281","last_reissued_at":"2026-05-18T04:16:12.251349Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:16:12.251349Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Properties of Quantum Systems via Diagonalization of Transition Amplitudes II: Systematic Improvements of Short-time Propagation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","hep-th","physics.comp-ph","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Aleksandar Belic, Aleksandar Bogojevic, Antun Balaz, Ivana Vidanovic","submitted_at":"2009-11-26T21:14:31Z","abstract_excerpt":"In this paper, building on a previous analysis [1] of exact diagonalization of the space-discretized evolution operator for the study of properties of non-relativistic quantum systems, we present a substantial improvement to this method. We apply recently introduced effective action approach for obtaining short-time expansion of the propagator up to very high orders to calculate matrix elements of space-discretized evolution operator. This improves by many orders of magnitude previously used approximations for discretized matrix elements and allows us to numerically obtain large numbers of acc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.5154","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":"0911.5154","created_at":"2026-05-18T04:16:12.251414+00:00"},{"alias_kind":"arxiv_version","alias_value":"0911.5154v2","created_at":"2026-05-18T04:16:12.251414+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.5154","created_at":"2026-05-18T04:16:12.251414+00:00"},{"alias_kind":"pith_short_12","alias_value":"BECFVI6FG3YO","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_16","alias_value":"BECFVI6FG3YOJVNU","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_8","alias_value":"BECFVI6F","created_at":"2026-05-18T12:25:58.837520+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/BECFVI6FG3YOJVNUCJNRJJ4P6O","json":"https://pith.science/pith/BECFVI6FG3YOJVNUCJNRJJ4P6O.json","graph_json":"https://pith.science/api/pith-number/BECFVI6FG3YOJVNUCJNRJJ4P6O/graph.json","events_json":"https://pith.science/api/pith-number/BECFVI6FG3YOJVNUCJNRJJ4P6O/events.json","paper":"https://pith.science/paper/BECFVI6F"},"agent_actions":{"view_html":"https://pith.science/pith/BECFVI6FG3YOJVNUCJNRJJ4P6O","download_json":"https://pith.science/pith/BECFVI6FG3YOJVNUCJNRJJ4P6O.json","view_paper":"https://pith.science/paper/BECFVI6F","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0911.5154&json=true","fetch_graph":"https://pith.science/api/pith-number/BECFVI6FG3YOJVNUCJNRJJ4P6O/graph.json","fetch_events":"https://pith.science/api/pith-number/BECFVI6FG3YOJVNUCJNRJJ4P6O/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BECFVI6FG3YOJVNUCJNRJJ4P6O/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BECFVI6FG3YOJVNUCJNRJJ4P6O/action/storage_attestation","attest_author":"https://pith.science/pith/BECFVI6FG3YOJVNUCJNRJJ4P6O/action/author_attestation","sign_citation":"https://pith.science/pith/BECFVI6FG3YOJVNUCJNRJJ4P6O/action/citation_signature","submit_replication":"https://pith.science/pith/BECFVI6FG3YOJVNUCJNRJJ4P6O/action/replication_record"}},"created_at":"2026-05-18T04:16:12.251414+00:00","updated_at":"2026-05-18T04:16:12.251414+00:00"}