{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:DKMJI4YRQBNIET5IGOZHCFZUXW","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":"877d6a7e4a2987f0cea4e4ff0c1fba1caecf98ec0359cb14003271947d78f813","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-07T12:19:09Z","title_canon_sha256":"446bbf98114ee772b461bbdf063cf2556eb8ae17d06180e02cc4dacf4866e6ac"},"schema_version":"1.0","source":{"id":"1709.02201","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.02201","created_at":"2026-05-18T00:19:26Z"},{"alias_kind":"arxiv_version","alias_value":"1709.02201v1","created_at":"2026-05-18T00:19:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.02201","created_at":"2026-05-18T00:19:26Z"},{"alias_kind":"pith_short_12","alias_value":"DKMJI4YRQBNI","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"DKMJI4YRQBNIET5I","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"DKMJI4YR","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:270e94ede235fba41e89b3c89553ee5be3946f01fa332484c195cc0169270638","target":"graph","created_at":"2026-05-18T00:19:26Z","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 compute the $L^2$-norm of the minimizer of the Ginzburg-Landau functional in a planar domain with a finite number of corners. Our computations are valid for a uniform applied magnetic field, large Ginzburg-Landau parameter and in the regime where superconductivity is confined near the corners of the domain.","authors_text":"Ayman Kachmar, Bernard Helffer","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-07T12:19:09Z","title":"The density of superconductivity in domains with corners"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.02201","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":"sha256:136cbbb534c7a37d222214b609041981c2ba3bb6a543c3216bf779e385205dbe","target":"record","created_at":"2026-05-18T00:19:26Z","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":"877d6a7e4a2987f0cea4e4ff0c1fba1caecf98ec0359cb14003271947d78f813","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-07T12:19:09Z","title_canon_sha256":"446bbf98114ee772b461bbdf063cf2556eb8ae17d06180e02cc4dacf4866e6ac"},"schema_version":"1.0","source":{"id":"1709.02201","kind":"arxiv","version":1}},"canonical_sha256":"1a98947311805a824fa833b2711734bdb921abf30771388e3b3d5d51d10e6a5a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1a98947311805a824fa833b2711734bdb921abf30771388e3b3d5d51d10e6a5a","first_computed_at":"2026-05-18T00:19:26.925104Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:26.925104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PL81lqo8pDRkRtrB/4K0IZhgtEkjJt4jwReDLVtjb01W0b1PLs9TXvP7TKwj1tB5w7QKSAZK3xJLgEoECx8DCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:26.925565Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.02201","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:136cbbb534c7a37d222214b609041981c2ba3bb6a543c3216bf779e385205dbe","sha256:270e94ede235fba41e89b3c89553ee5be3946f01fa332484c195cc0169270638"],"state_sha256":"003209aa80abdc1c1a3223314b399ba6cae541716d652fa0b3ae1445e56b6f41"}