{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:C7SK2SMLXEC4QEGE4N3CJVI2QI","short_pith_number":"pith:C7SK2SML","schema_version":"1.0","canonical_sha256":"17e4ad498bb905c810c4e37624d51a8202338c7383783fc4838113a97a7790d5","source":{"kind":"arxiv","id":"0906.0207","version":1},"attestation_state":"computed","paper":{"title":"A Mathematically Controlled Alternative to the Supersymmetric Sigma Model of Disorder","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Vincent E. Sacksteder IV","submitted_at":"2009-06-01T04:16:37Z","abstract_excerpt":"This paper shows how to obtain non-rigorous mathematical control over models of loosely coupled disordered grains; it provides new information about saddle point structure and perturbative corrections. Both the Wegner model and a variant due to Disertori are transformed to matrix models which are similar to the supersymmetric model of disorder, having two matrices $Q^f$ and $Q^b$ which correspond to the two bosonic sectors of the SUSY matrix. However the Grassman (fermionic) sector of the SUSY matrix is omitted, and compensated by a spectral determinant. The transformation is exact for Diserto"},"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":"0906.0207","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-06-01T04:16:37Z","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.stat-mech"],"title_canon_sha256":"150e21bcb48dabc03b84754d6346cd7696197e433c09a3731bf26ac55d488339","abstract_canon_sha256":"abc624f784cb5078132feecb512b5aaf600c13e3bca77e027bd8aba2057e4e44"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:43:13.855382Z","signature_b64":"BiAxg+63yRSo93DUtD6C6++cNgTd9ioVAioDSx4Igmu407g5glaZpfp4VTi3lVoqImE+IrUdvHic/m2ahghrCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"17e4ad498bb905c810c4e37624d51a8202338c7383783fc4838113a97a7790d5","last_reissued_at":"2026-07-04T15:43:13.855026Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:43:13.855026Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Mathematically Controlled Alternative to the Supersymmetric Sigma Model of Disorder","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Vincent E. Sacksteder IV","submitted_at":"2009-06-01T04:16:37Z","abstract_excerpt":"This paper shows how to obtain non-rigorous mathematical control over models of loosely coupled disordered grains; it provides new information about saddle point structure and perturbative corrections. Both the Wegner model and a variant due to Disertori are transformed to matrix models which are similar to the supersymmetric model of disorder, having two matrices $Q^f$ and $Q^b$ which correspond to the two bosonic sectors of the SUSY matrix. However the Grassman (fermionic) sector of the SUSY matrix is omitted, and compensated by a spectral determinant. The transformation is exact for Diserto"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.0207","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/0906.0207/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":"0906.0207","created_at":"2026-07-04T15:43:13.855087+00:00"},{"alias_kind":"arxiv_version","alias_value":"0906.0207v1","created_at":"2026-07-04T15:43:13.855087+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.0207","created_at":"2026-07-04T15:43:13.855087+00:00"},{"alias_kind":"pith_short_12","alias_value":"C7SK2SMLXEC4","created_at":"2026-07-04T15:43:13.855087+00:00"},{"alias_kind":"pith_short_16","alias_value":"C7SK2SMLXEC4QEGE","created_at":"2026-07-04T15:43:13.855087+00:00"},{"alias_kind":"pith_short_8","alias_value":"C7SK2SML","created_at":"2026-07-04T15:43:13.855087+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/C7SK2SMLXEC4QEGE4N3CJVI2QI","json":"https://pith.science/pith/C7SK2SMLXEC4QEGE4N3CJVI2QI.json","graph_json":"https://pith.science/api/pith-number/C7SK2SMLXEC4QEGE4N3CJVI2QI/graph.json","events_json":"https://pith.science/api/pith-number/C7SK2SMLXEC4QEGE4N3CJVI2QI/events.json","paper":"https://pith.science/paper/C7SK2SML"},"agent_actions":{"view_html":"https://pith.science/pith/C7SK2SMLXEC4QEGE4N3CJVI2QI","download_json":"https://pith.science/pith/C7SK2SMLXEC4QEGE4N3CJVI2QI.json","view_paper":"https://pith.science/paper/C7SK2SML","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0906.0207&json=true","fetch_graph":"https://pith.science/api/pith-number/C7SK2SMLXEC4QEGE4N3CJVI2QI/graph.json","fetch_events":"https://pith.science/api/pith-number/C7SK2SMLXEC4QEGE4N3CJVI2QI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/C7SK2SMLXEC4QEGE4N3CJVI2QI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/C7SK2SMLXEC4QEGE4N3CJVI2QI/action/storage_attestation","attest_author":"https://pith.science/pith/C7SK2SMLXEC4QEGE4N3CJVI2QI/action/author_attestation","sign_citation":"https://pith.science/pith/C7SK2SMLXEC4QEGE4N3CJVI2QI/action/citation_signature","submit_replication":"https://pith.science/pith/C7SK2SMLXEC4QEGE4N3CJVI2QI/action/replication_record"}},"created_at":"2026-07-04T15:43:13.855087+00:00","updated_at":"2026-07-04T15:43:13.855087+00:00"}