{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:VT4SCBCVT7AJFCTNDXD6XYCS5G","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":"785f09b7d32fa70282a6c4fb469bc3b5e38541d0e992fc2ffc695eab2440cde1","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.supr-con","submitted_at":"2000-04-11T13:57:06Z","title_canon_sha256":"195e7ff2c6054c1d278f708e6a0f67263f20e64d666c20a785440d65dd1b48d5"},"schema_version":"1.0","source":{"id":"cond-mat/0004177","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0004177","created_at":"2026-05-18T01:07:13Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0004177v1","created_at":"2026-05-18T01:07:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0004177","created_at":"2026-05-18T01:07:13Z"},{"alias_kind":"pith_short_12","alias_value":"VT4SCBCVT7AJ","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"VT4SCBCVT7AJFCTN","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"VT4SCBCV","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:2c909c586df3215fe5589636a8d4ca5e1db2fca372bb59759b8799573eaa2b3f","target":"graph","created_at":"2026-05-18T01:07:13Z","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"},"paper":{"abstract_excerpt":"We study the Ginzburg-Landau energy of superconductors with a term $a_\\ep$ modelling the pinning of vortices by impurities in the limit of a large Ginzburg-Landau parameter $\\kappa=1/\\ep$. The function $a_\\ep$ is oscillating between 1/2 and 1 with a scale which may tend to 0 as $\\kappa$ tends to infinity.\n  Our aim is to understand that in the large $\\kappa$ limit, stable configurations should correspond to vortices pinned at the minimum of $a_\\ep$ and to derive the limiting homogenized free-boundary problem which arises for the magnetic field in replacement of the London equation.\n The method","authors_text":"Amandine Aftalion, Etienne Sandier, Sylvia Serfaty","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.supr-con","submitted_at":"2000-04-11T13:57:06Z","title":"Pinning phenomena in the Ginzburg-Landau Model of Superconductivity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0004177","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:e673114dbe059fdd88727bf83e93b8d436af1f3f4c524212590ddd42c1874f4e","target":"record","created_at":"2026-05-18T01:07:13Z","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":"785f09b7d32fa70282a6c4fb469bc3b5e38541d0e992fc2ffc695eab2440cde1","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.supr-con","submitted_at":"2000-04-11T13:57:06Z","title_canon_sha256":"195e7ff2c6054c1d278f708e6a0f67263f20e64d666c20a785440d65dd1b48d5"},"schema_version":"1.0","source":{"id":"cond-mat/0004177","kind":"arxiv","version":1}},"canonical_sha256":"acf92104559fc0928a6d1dc7ebe052e994966241f2ad8ccd35b18de2cf9ec2f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"acf92104559fc0928a6d1dc7ebe052e994966241f2ad8ccd35b18de2cf9ec2f5","first_computed_at":"2026-05-18T01:07:13.228241Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:07:13.228241Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H8GcRAU5xjMwE+jIF/4cBi+5yk15DrUtzp4K2fwpgUL0HjwdZqgMtZ7aoMq6T5zRGU+plsUyGlhkTJYG+hGNAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:07:13.228960Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0004177","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e673114dbe059fdd88727bf83e93b8d436af1f3f4c524212590ddd42c1874f4e","sha256:2c909c586df3215fe5589636a8d4ca5e1db2fca372bb59759b8799573eaa2b3f"],"state_sha256":"38baa05c6923693467de6f73aa092fa81ab1d0486c8c8cbf794eb3b3be5c7e3e"}