{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:7BRKMZIBNTP5434VP2BNVWJA6M","short_pith_number":"pith:7BRKMZIB","schema_version":"1.0","canonical_sha256":"f862a665016cdfde6f957e82dad920f3132a4670aae06c0fb540ebca04662615","source":{"kind":"arxiv","id":"1012.5022","version":1},"attestation_state":"computed","paper":{"title":"Numeric and symbolic evaluation of the pfaffian of general skew-symmetric matrices","license":"http://creativecommons.org/licenses/publicdomain/","headline":"","cross_cats":["cond-mat.str-el","nucl-th"],"primary_cat":"physics.comp-ph","authors_text":"C. Gonz\\'alez-Ballestero, G. F. Bertsch, L.M. Robledo","submitted_at":"2010-12-22T16:05:07Z","abstract_excerpt":"Evaluation of pfaffians arises in a number of physics applications, and for some of them a direct method is preferable to using the determinantal formula. We discuss two methods for the numerical evaluation of pfaffians. The first is tridiagonalization based on Householder transformations. The main advantage of this method is its numerical stability that makes unnecessary the implementation of a pivoting strategy. The second method considered is based on Aitken's block diagonalization formula. It yields to a kind of LU (similar to Cholesky's factorization) decomposition (under congruence) of a"},"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":"1012.5022","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"physics.comp-ph","submitted_at":"2010-12-22T16:05:07Z","cross_cats_sorted":["cond-mat.str-el","nucl-th"],"title_canon_sha256":"a348aa5a3054c9944e48f3aa7ab135b075d3d0038aca4e9b8819a4aa015b4a53","abstract_canon_sha256":"5b76f76eeb6cb6b1cc46d91194c08ad7cb94b3173286f43cf5c7cbf79a79975f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:18.520615Z","signature_b64":"wgzW1ZYvxviGGb3sSIhSCNetmWzFcG9xz0UGMesbX63mYujARqAjUvHNeiG+gQNzK8pDpWEjLvazOCbDRS41CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f862a665016cdfde6f957e82dad920f3132a4670aae06c0fb540ebca04662615","last_reissued_at":"2026-05-18T02:04:18.519761Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:18.519761Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Numeric and symbolic evaluation of the pfaffian of general skew-symmetric matrices","license":"http://creativecommons.org/licenses/publicdomain/","headline":"","cross_cats":["cond-mat.str-el","nucl-th"],"primary_cat":"physics.comp-ph","authors_text":"C. Gonz\\'alez-Ballestero, G. F. Bertsch, L.M. Robledo","submitted_at":"2010-12-22T16:05:07Z","abstract_excerpt":"Evaluation of pfaffians arises in a number of physics applications, and for some of them a direct method is preferable to using the determinantal formula. We discuss two methods for the numerical evaluation of pfaffians. The first is tridiagonalization based on Householder transformations. The main advantage of this method is its numerical stability that makes unnecessary the implementation of a pivoting strategy. The second method considered is based on Aitken's block diagonalization formula. It yields to a kind of LU (similar to Cholesky's factorization) decomposition (under congruence) of a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.5022","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":"1012.5022","created_at":"2026-05-18T02:04:18.520002+00:00"},{"alias_kind":"arxiv_version","alias_value":"1012.5022v1","created_at":"2026-05-18T02:04:18.520002+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.5022","created_at":"2026-05-18T02:04:18.520002+00:00"},{"alias_kind":"pith_short_12","alias_value":"7BRKMZIBNTP5","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_16","alias_value":"7BRKMZIBNTP5434V","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_8","alias_value":"7BRKMZIB","created_at":"2026-05-18T12:26:04.259169+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/7BRKMZIBNTP5434VP2BNVWJA6M","json":"https://pith.science/pith/7BRKMZIBNTP5434VP2BNVWJA6M.json","graph_json":"https://pith.science/api/pith-number/7BRKMZIBNTP5434VP2BNVWJA6M/graph.json","events_json":"https://pith.science/api/pith-number/7BRKMZIBNTP5434VP2BNVWJA6M/events.json","paper":"https://pith.science/paper/7BRKMZIB"},"agent_actions":{"view_html":"https://pith.science/pith/7BRKMZIBNTP5434VP2BNVWJA6M","download_json":"https://pith.science/pith/7BRKMZIBNTP5434VP2BNVWJA6M.json","view_paper":"https://pith.science/paper/7BRKMZIB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1012.5022&json=true","fetch_graph":"https://pith.science/api/pith-number/7BRKMZIBNTP5434VP2BNVWJA6M/graph.json","fetch_events":"https://pith.science/api/pith-number/7BRKMZIBNTP5434VP2BNVWJA6M/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7BRKMZIBNTP5434VP2BNVWJA6M/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7BRKMZIBNTP5434VP2BNVWJA6M/action/storage_attestation","attest_author":"https://pith.science/pith/7BRKMZIBNTP5434VP2BNVWJA6M/action/author_attestation","sign_citation":"https://pith.science/pith/7BRKMZIBNTP5434VP2BNVWJA6M/action/citation_signature","submit_replication":"https://pith.science/pith/7BRKMZIBNTP5434VP2BNVWJA6M/action/replication_record"}},"created_at":"2026-05-18T02:04:18.520002+00:00","updated_at":"2026-05-18T02:04:18.520002+00:00"}