{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:PYU4I75FRQFEOYQPCLYBYOUHUD","short_pith_number":"pith:PYU4I75F","schema_version":"1.0","canonical_sha256":"7e29c47fa58c0a47620f12f01c3a87a0f340156c1894c8ac212fecd168dbb09e","source":{"kind":"arxiv","id":"1209.3696","version":1},"attestation_state":"computed","paper":{"title":"Singular Limits for Thin Film Superconductors in Strong Magnetic Fields - Maan Field Model for Thin Films","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Bernardo Galv\\~ao-Sousa, Lia Bronsard, Stan Alama","submitted_at":"2012-09-17T15:44:21Z","abstract_excerpt":"We consider singular limits of the three-dimensional Ginzburg-Landau functional for a superconductor with thin-film geometry, in a constant external magnetic field. The superconducting domain has characteristic thickness on the scale $\\eps>0$, and we consider the simultaneous limit as the thickness $\\eps\\rightarrow 0$ and the Ginzburg-Landau parameter $\\kappa\\rightarrow\\infty$. We assume that the applied field is strong (on the order of $\\eps^{-1}$ in magnitude) in its components tangential to the film domain, and of order $\\log\\kappa$ in its dependence on $\\kappa$. We prove that the Ginzburg-"},"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":"1209.3696","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-09-17T15:44:21Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"2ebe5b4d5264a8b028a83db5a329c19cd3e275e04ade9da92ed5bc5c6e1f2102","abstract_canon_sha256":"a7c3a27f79252b1e793482b0b3464aa5b4a88eb6e278d74e4f8408d0f0dd6c7c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:45:23.679484Z","signature_b64":"pyNlDZfCTeJ7UySCyxWSHZGPRs7VtvtxDNFgqIk069ZvMr7kN7u6FNg/jXbMsqEEBLnXUyeIYulZGPYN6wCrBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7e29c47fa58c0a47620f12f01c3a87a0f340156c1894c8ac212fecd168dbb09e","last_reissued_at":"2026-05-18T03:45:23.678994Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:45:23.678994Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Singular Limits for Thin Film Superconductors in Strong Magnetic Fields - Maan Field Model for Thin Films","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Bernardo Galv\\~ao-Sousa, Lia Bronsard, Stan Alama","submitted_at":"2012-09-17T15:44:21Z","abstract_excerpt":"We consider singular limits of the three-dimensional Ginzburg-Landau functional for a superconductor with thin-film geometry, in a constant external magnetic field. The superconducting domain has characteristic thickness on the scale $\\eps>0$, and we consider the simultaneous limit as the thickness $\\eps\\rightarrow 0$ and the Ginzburg-Landau parameter $\\kappa\\rightarrow\\infty$. We assume that the applied field is strong (on the order of $\\eps^{-1}$ in magnitude) in its components tangential to the film domain, and of order $\\log\\kappa$ in its dependence on $\\kappa$. We prove that the Ginzburg-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.3696","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":"1209.3696","created_at":"2026-05-18T03:45:23.679080+00:00"},{"alias_kind":"arxiv_version","alias_value":"1209.3696v1","created_at":"2026-05-18T03:45:23.679080+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.3696","created_at":"2026-05-18T03:45:23.679080+00:00"},{"alias_kind":"pith_short_12","alias_value":"PYU4I75FRQFE","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_16","alias_value":"PYU4I75FRQFEOYQP","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_8","alias_value":"PYU4I75F","created_at":"2026-05-18T12:27:18.751474+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/PYU4I75FRQFEOYQPCLYBYOUHUD","json":"https://pith.science/pith/PYU4I75FRQFEOYQPCLYBYOUHUD.json","graph_json":"https://pith.science/api/pith-number/PYU4I75FRQFEOYQPCLYBYOUHUD/graph.json","events_json":"https://pith.science/api/pith-number/PYU4I75FRQFEOYQPCLYBYOUHUD/events.json","paper":"https://pith.science/paper/PYU4I75F"},"agent_actions":{"view_html":"https://pith.science/pith/PYU4I75FRQFEOYQPCLYBYOUHUD","download_json":"https://pith.science/pith/PYU4I75FRQFEOYQPCLYBYOUHUD.json","view_paper":"https://pith.science/paper/PYU4I75F","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1209.3696&json=true","fetch_graph":"https://pith.science/api/pith-number/PYU4I75FRQFEOYQPCLYBYOUHUD/graph.json","fetch_events":"https://pith.science/api/pith-number/PYU4I75FRQFEOYQPCLYBYOUHUD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PYU4I75FRQFEOYQPCLYBYOUHUD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PYU4I75FRQFEOYQPCLYBYOUHUD/action/storage_attestation","attest_author":"https://pith.science/pith/PYU4I75FRQFEOYQPCLYBYOUHUD/action/author_attestation","sign_citation":"https://pith.science/pith/PYU4I75FRQFEOYQPCLYBYOUHUD/action/citation_signature","submit_replication":"https://pith.science/pith/PYU4I75FRQFEOYQPCLYBYOUHUD/action/replication_record"}},"created_at":"2026-05-18T03:45:23.679080+00:00","updated_at":"2026-05-18T03:45:23.679080+00:00"}