{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:S7TQOBATKVMVDAZ7L42OAPWO4I","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":"86e61df22a599fbb1ea08e82b3ed8aeca2c71cdf5a64df56cad48b54ed5a14b7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-12-02T20:17:39Z","title_canon_sha256":"17064d7a29bcab0a2d181028c95811fd780aeb459989637ac9584dd61b69fb2c"},"schema_version":"1.0","source":{"id":"1612.00821","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.00821","created_at":"2026-05-18T00:53:04Z"},{"alias_kind":"arxiv_version","alias_value":"1612.00821v2","created_at":"2026-05-18T00:53:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.00821","created_at":"2026-05-18T00:53:04Z"},{"alias_kind":"pith_short_12","alias_value":"S7TQOBATKVMV","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"S7TQOBATKVMVDAZ7","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"S7TQOBAT","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:d432ee3803cb7b240e7763b4ec2d803864213e3b31682c045b94afab24dba5c6","target":"graph","created_at":"2026-05-18T00:53:04Z","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 prove that a local minimizer of the Ginzburg-Landau energy in ${\\mathbb R}^3$ satisfying the condition $\\liminf_{R\\to\\infty}E(u;B_R)/RlnR < 2\\pi$ must be constant. The main tool is a new sharp eta-ellipticity result for minimizers in dimension three that might be of independent interest.","authors_text":"Etienne Sandier, Itai Shafrir","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-12-02T20:17:39Z","title":"Small energy Ginzburg-Landau minimizers in ${\\mathbb R}^3$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.00821","kind":"arxiv","version":2},"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:cb444daff923f3d01721169d9fd3b22f0d1f9eb5b2197f2d128c42047baddaf2","target":"record","created_at":"2026-05-18T00:53:04Z","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":"86e61df22a599fbb1ea08e82b3ed8aeca2c71cdf5a64df56cad48b54ed5a14b7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-12-02T20:17:39Z","title_canon_sha256":"17064d7a29bcab0a2d181028c95811fd780aeb459989637ac9584dd61b69fb2c"},"schema_version":"1.0","source":{"id":"1612.00821","kind":"arxiv","version":2}},"canonical_sha256":"97e7070413555951833f5f34e03ecee226dee030310548d6f858de600bf026fc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"97e7070413555951833f5f34e03ecee226dee030310548d6f858de600bf026fc","first_computed_at":"2026-05-18T00:53:04.903696Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:04.903696Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1lgtkUbSpUAYx/NoJlYOhaFvmO0y+g7urCJDXUYPcJYhgmeTU8zbOsRvLWv22EijyE8ej2DUFwmgH4n9M12fCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:04.904175Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.00821","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb444daff923f3d01721169d9fd3b22f0d1f9eb5b2197f2d128c42047baddaf2","sha256:d432ee3803cb7b240e7763b4ec2d803864213e3b31682c045b94afab24dba5c6"],"state_sha256":"5fbe640017a676755cb49fb7706adbd06508831fd2bb0726ba97e93248cb0315"}