{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:HTM2CXKWRBXCQGAF3J6UAXWRHD","short_pith_number":"pith:HTM2CXKW","schema_version":"1.0","canonical_sha256":"3cd9a15d56886e281805da7d405ed138ff698d3ef117aad6d6a0f9d01dcd2836","source":{"kind":"arxiv","id":"1404.2008","version":2},"attestation_state":"computed","paper":{"title":"Analysis of Minimizers of the Lawrence-Doniach Energy for Superconductors in Applied Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Guanying Peng, Patricia Bauman","submitted_at":"2014-04-08T04:45:06Z","abstract_excerpt":"We analyze minimizers of the Lawrence-Doniach energy for layered superconductors occupying a bounded generalized cylinder, $ \\Omega\\times[0,L]$, in $\\mathbb{R}^3$, where $\\Omega$ is a bounded simply connected Lipschitz domain in $\\mathbb{R}^2$. For an applied magnetic field $\\vec{H}_{ex}=h_{ex}\\vec{e}_{3}$ that is perpendicular to the layers with $\\left|\\ln\\epsilon\\right|\\ll h_{ex}\\ll\\epsilon^{-2}$ as $\\epsilon\\rightarrow 0$, where $\\epsilon$ is the reciprocal of the Ginzburg-Landau parameter, we prove an asymptotic formula for the minimum Lawrence-Doniach energy as $\\epsilon$ and the interlay"},"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":"1404.2008","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-04-08T04:45:06Z","cross_cats_sorted":[],"title_canon_sha256":"b01c886c7e7b1267765dc1edb09474adf8c97834b6c01606e1180a28cc2a6413","abstract_canon_sha256":"e54284d5564ead0c3a768d0689ee1a6ac529043781e5fecdc234205719925ea9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:08:29.755239Z","signature_b64":"bMhrd8izL5qEnFpVY4vWBZMCAzqsxmVy5gK1oG4WWorq2VhBqNraoxXNoqI6XWpTgLjyP+ApR5AHRe2hqmLbBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3cd9a15d56886e281805da7d405ed138ff698d3ef117aad6d6a0f9d01dcd2836","last_reissued_at":"2026-05-18T00:08:29.754788Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:08:29.754788Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analysis of Minimizers of the Lawrence-Doniach Energy for Superconductors in Applied Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Guanying Peng, Patricia Bauman","submitted_at":"2014-04-08T04:45:06Z","abstract_excerpt":"We analyze minimizers of the Lawrence-Doniach energy for layered superconductors occupying a bounded generalized cylinder, $ \\Omega\\times[0,L]$, in $\\mathbb{R}^3$, where $\\Omega$ is a bounded simply connected Lipschitz domain in $\\mathbb{R}^2$. For an applied magnetic field $\\vec{H}_{ex}=h_{ex}\\vec{e}_{3}$ that is perpendicular to the layers with $\\left|\\ln\\epsilon\\right|\\ll h_{ex}\\ll\\epsilon^{-2}$ as $\\epsilon\\rightarrow 0$, where $\\epsilon$ is the reciprocal of the Ginzburg-Landau parameter, we prove an asymptotic formula for the minimum Lawrence-Doniach energy as $\\epsilon$ and the interlay"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.2008","kind":"arxiv","version":2},"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":"1404.2008","created_at":"2026-05-18T00:08:29.754867+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.2008v2","created_at":"2026-05-18T00:08:29.754867+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.2008","created_at":"2026-05-18T00:08:29.754867+00:00"},{"alias_kind":"pith_short_12","alias_value":"HTM2CXKWRBXC","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_16","alias_value":"HTM2CXKWRBXCQGAF","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_8","alias_value":"HTM2CXKW","created_at":"2026-05-18T12:28:30.664211+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/HTM2CXKWRBXCQGAF3J6UAXWRHD","json":"https://pith.science/pith/HTM2CXKWRBXCQGAF3J6UAXWRHD.json","graph_json":"https://pith.science/api/pith-number/HTM2CXKWRBXCQGAF3J6UAXWRHD/graph.json","events_json":"https://pith.science/api/pith-number/HTM2CXKWRBXCQGAF3J6UAXWRHD/events.json","paper":"https://pith.science/paper/HTM2CXKW"},"agent_actions":{"view_html":"https://pith.science/pith/HTM2CXKWRBXCQGAF3J6UAXWRHD","download_json":"https://pith.science/pith/HTM2CXKWRBXCQGAF3J6UAXWRHD.json","view_paper":"https://pith.science/paper/HTM2CXKW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.2008&json=true","fetch_graph":"https://pith.science/api/pith-number/HTM2CXKWRBXCQGAF3J6UAXWRHD/graph.json","fetch_events":"https://pith.science/api/pith-number/HTM2CXKWRBXCQGAF3J6UAXWRHD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HTM2CXKWRBXCQGAF3J6UAXWRHD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HTM2CXKWRBXCQGAF3J6UAXWRHD/action/storage_attestation","attest_author":"https://pith.science/pith/HTM2CXKWRBXCQGAF3J6UAXWRHD/action/author_attestation","sign_citation":"https://pith.science/pith/HTM2CXKWRBXCQGAF3J6UAXWRHD/action/citation_signature","submit_replication":"https://pith.science/pith/HTM2CXKWRBXCQGAF3J6UAXWRHD/action/replication_record"}},"created_at":"2026-05-18T00:08:29.754867+00:00","updated_at":"2026-05-18T00:08:29.754867+00:00"}