{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:C7SK2SMLXEC4QEGE4N3CJVI2QI","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":"abc624f784cb5078132feecb512b5aaf600c13e3bca77e027bd8aba2057e4e44","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-06-01T04:16:37Z","title_canon_sha256":"150e21bcb48dabc03b84754d6346cd7696197e433c09a3731bf26ac55d488339"},"schema_version":"1.0","source":{"id":"0906.0207","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.0207","created_at":"2026-07-04T15:43:13Z"},{"alias_kind":"arxiv_version","alias_value":"0906.0207v1","created_at":"2026-07-04T15:43:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.0207","created_at":"2026-07-04T15:43:13Z"},{"alias_kind":"pith_short_12","alias_value":"C7SK2SMLXEC4","created_at":"2026-07-04T15:43:13Z"},{"alias_kind":"pith_short_16","alias_value":"C7SK2SMLXEC4QEGE","created_at":"2026-07-04T15:43:13Z"},{"alias_kind":"pith_short_8","alias_value":"C7SK2SML","created_at":"2026-07-04T15:43:13Z"}],"graph_snapshots":[{"event_id":"sha256:a66e2bc9e40c7f54fce312dc188e0d293798b7933be132e388bbf293c5ddb9b8","target":"graph","created_at":"2026-07-04T15:43:13Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0906.0207/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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","authors_text":"Vincent E. Sacksteder IV","cross_cats":["cond-mat.mes-hall","cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-06-01T04:16:37Z","title":"A Mathematically Controlled Alternative to the Supersymmetric Sigma Model of Disorder"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.0207","kind":"arxiv","version":1},"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":"sha256:2c6dbe3bece6fca4506643e6e56d469cb7810cba1a7f501bfdc349716e9d0028","target":"record","created_at":"2026-07-04T15:43:13Z","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":"abc624f784cb5078132feecb512b5aaf600c13e3bca77e027bd8aba2057e4e44","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-06-01T04:16:37Z","title_canon_sha256":"150e21bcb48dabc03b84754d6346cd7696197e433c09a3731bf26ac55d488339"},"schema_version":"1.0","source":{"id":"0906.0207","kind":"arxiv","version":1}},"canonical_sha256":"17e4ad498bb905c810c4e37624d51a8202338c7383783fc4838113a97a7790d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"17e4ad498bb905c810c4e37624d51a8202338c7383783fc4838113a97a7790d5","first_computed_at":"2026-07-04T15:43:13.855026Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:43:13.855026Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BiAxg+63yRSo93DUtD6C6++cNgTd9ioVAioDSx4Igmu407g5glaZpfp4VTi3lVoqImE+IrUdvHic/m2ahghrCg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:43:13.855382Z","signed_message":"canonical_sha256_bytes"},"source_id":"0906.0207","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2c6dbe3bece6fca4506643e6e56d469cb7810cba1a7f501bfdc349716e9d0028","sha256:a66e2bc9e40c7f54fce312dc188e0d293798b7933be132e388bbf293c5ddb9b8"],"state_sha256":"17593a57ed302970f0dcc4e965014f45b29c0724baf7e1439e1c08b3dac49e96"}