{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:CA5HZQRCVHQQK36NPCV2VDRTUZ","short_pith_number":"pith:CA5HZQRC","schema_version":"1.0","canonical_sha256":"103a7cc222a9e1056fcd78abaa8e33a65115c6a686aecd0f6db67972158d127a","source":{"kind":"arxiv","id":"1706.06757","version":1},"attestation_state":"computed","paper":{"title":"Physics-inspired derivations of some algorithms for computing the permanent","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","math.MP"],"primary_cat":"math-ph","authors_text":"Johan Nilsson","submitted_at":"2017-06-21T06:47:50Z","abstract_excerpt":"We provide physics-inspired derivations of a number of algorithms for computing the permanent of a matrix. In particular we formulate the computation of the permanent as a Grassmann integral that may be viewed as an interacting many-fermion problem. Applying a discrete Hubbard-Stratonovich decoupling then gives approximation schemes that are equivalent to the familiar determinant Monte Carlo algorithm. This leads to elementary derivations of the well-known estimators of Godsil-Gutman and Karmarkar et al. Another straightfoward manipulation of the Grassmann integral, making use of gauge invaria"},"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":"1706.06757","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-06-21T06:47:50Z","cross_cats_sorted":["cond-mat.str-el","math.MP"],"title_canon_sha256":"e492c36da267815190fbcaf5d6524df64aa6148621f4461cefb51e7ccf343d6a","abstract_canon_sha256":"40c3be60d4ca3ab5cce63c00391e10672f7e4097217cc0900ea860dddb9ccda4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:56.938813Z","signature_b64":"3ZpcypymupayqtpN6C0HQgvCRIK+iWjYB2p7m4ePBZXWf+1F3oTVqx2+bCFCMCDagGskKoisJprfWmkd86isAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"103a7cc222a9e1056fcd78abaa8e33a65115c6a686aecd0f6db67972158d127a","last_reissued_at":"2026-05-18T00:41:56.938219Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:56.938219Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Physics-inspired derivations of some algorithms for computing the permanent","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","math.MP"],"primary_cat":"math-ph","authors_text":"Johan Nilsson","submitted_at":"2017-06-21T06:47:50Z","abstract_excerpt":"We provide physics-inspired derivations of a number of algorithms for computing the permanent of a matrix. In particular we formulate the computation of the permanent as a Grassmann integral that may be viewed as an interacting many-fermion problem. Applying a discrete Hubbard-Stratonovich decoupling then gives approximation schemes that are equivalent to the familiar determinant Monte Carlo algorithm. This leads to elementary derivations of the well-known estimators of Godsil-Gutman and Karmarkar et al. Another straightfoward manipulation of the Grassmann integral, making use of gauge invaria"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.06757","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":"1706.06757","created_at":"2026-05-18T00:41:56.938301+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.06757v1","created_at":"2026-05-18T00:41:56.938301+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.06757","created_at":"2026-05-18T00:41:56.938301+00:00"},{"alias_kind":"pith_short_12","alias_value":"CA5HZQRCVHQQ","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_16","alias_value":"CA5HZQRCVHQQK36N","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_8","alias_value":"CA5HZQRC","created_at":"2026-05-18T12:31:10.602751+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/CA5HZQRCVHQQK36NPCV2VDRTUZ","json":"https://pith.science/pith/CA5HZQRCVHQQK36NPCV2VDRTUZ.json","graph_json":"https://pith.science/api/pith-number/CA5HZQRCVHQQK36NPCV2VDRTUZ/graph.json","events_json":"https://pith.science/api/pith-number/CA5HZQRCVHQQK36NPCV2VDRTUZ/events.json","paper":"https://pith.science/paper/CA5HZQRC"},"agent_actions":{"view_html":"https://pith.science/pith/CA5HZQRCVHQQK36NPCV2VDRTUZ","download_json":"https://pith.science/pith/CA5HZQRCVHQQK36NPCV2VDRTUZ.json","view_paper":"https://pith.science/paper/CA5HZQRC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.06757&json=true","fetch_graph":"https://pith.science/api/pith-number/CA5HZQRCVHQQK36NPCV2VDRTUZ/graph.json","fetch_events":"https://pith.science/api/pith-number/CA5HZQRCVHQQK36NPCV2VDRTUZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CA5HZQRCVHQQK36NPCV2VDRTUZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CA5HZQRCVHQQK36NPCV2VDRTUZ/action/storage_attestation","attest_author":"https://pith.science/pith/CA5HZQRCVHQQK36NPCV2VDRTUZ/action/author_attestation","sign_citation":"https://pith.science/pith/CA5HZQRCVHQQK36NPCV2VDRTUZ/action/citation_signature","submit_replication":"https://pith.science/pith/CA5HZQRCVHQQK36NPCV2VDRTUZ/action/replication_record"}},"created_at":"2026-05-18T00:41:56.938301+00:00","updated_at":"2026-05-18T00:41:56.938301+00:00"}