{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:DDUGFSZMURQYBMMFAGL3ANZ5KD","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":"0afadde7cfb43c226439cc34b5eeb283b9420214a6c9b089b66df424a9affe49","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2015-03-23T06:32:56Z","title_canon_sha256":"5ed4d3eabe7729faf8d268389de3210ecd83124ec5c49ba33b39d40338ab193c"},"schema_version":"1.0","source":{"id":"1503.06540","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.06540","created_at":"2026-05-18T01:36:10Z"},{"alias_kind":"arxiv_version","alias_value":"1503.06540v1","created_at":"2026-05-18T01:36:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.06540","created_at":"2026-05-18T01:36:10Z"},{"alias_kind":"pith_short_12","alias_value":"DDUGFSZMURQY","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DDUGFSZMURQYBMMF","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DDUGFSZM","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:4be997907efb49359dc5a8d23c2bc01b09f56d56e7d6b3568e2010a41804a652","target":"graph","created_at":"2026-05-18T01:36:10Z","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"},"paper":{"abstract_excerpt":"Influence of disorder-induced Anderson localization and of electron-electron interaction on superconductivity in two-dimensional systems is explored. We determine the superconducting transition temperature $T_c$, the temperature dependence of the resistivity, the phase diagram, as well as the magnetoresistance. The analysis is based on the renormalization group (RG) for a nonlinear sigma model. Derived RG equations are valid to the lowest order in disorder but for arbitrary electron-electron interaction strength in particle-hole and Cooper channels. Systems with preserved and broken spin-rotat","authors_text":"A.D. Mirlin, I.S. Burmistrov, I.V. Gornyi","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2015-03-23T06:32:56Z","title":"Superconductor-insulator transitions: Phase diagram and magnetoresistance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.06540","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":"sha256:4d8a410ee6ccdb682293d47f62070a1a1ed00ba5e90ab3f14bb2fb95c731b857","target":"record","created_at":"2026-05-18T01:36:10Z","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":"0afadde7cfb43c226439cc34b5eeb283b9420214a6c9b089b66df424a9affe49","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2015-03-23T06:32:56Z","title_canon_sha256":"5ed4d3eabe7729faf8d268389de3210ecd83124ec5c49ba33b39d40338ab193c"},"schema_version":"1.0","source":{"id":"1503.06540","kind":"arxiv","version":1}},"canonical_sha256":"18e862cb2ca46180b1850197b0373d50de23c651a55377dc9217c945f8f0d366","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"18e862cb2ca46180b1850197b0373d50de23c651a55377dc9217c945f8f0d366","first_computed_at":"2026-05-18T01:36:10.865443Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:10.865443Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xDtZeR4BCiizxzZHHdBQO26gfwHZtIl9+TmdcRHs7GEJMolsxjKl9k5tKWzPc1NP/+chA/RlIP4mvhT1z3PsAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:10.865915Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.06540","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4d8a410ee6ccdb682293d47f62070a1a1ed00ba5e90ab3f14bb2fb95c731b857","sha256:4be997907efb49359dc5a8d23c2bc01b09f56d56e7d6b3568e2010a41804a652"],"state_sha256":"9864f619bd08a7320543bf12d73fe5cbf6914d1ce479949c597eca61adb9ac2e"}