{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:PRS35UUYA3WFIN5IIVMMJALLXB","short_pith_number":"pith:PRS35UUY","schema_version":"1.0","canonical_sha256":"7c65bed29806ec5437a84558c4816bb87481f87d548b289fc1fe4f51299c13c2","source":{"kind":"arxiv","id":"1711.08668","version":1},"attestation_state":"computed","paper":{"title":"A Ginzburg-Landau model with topologically induced free discontinuities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Beno\\^it Merlet, Michael Goldman, Vincent Millot","submitted_at":"2017-11-23T12:21:19Z","abstract_excerpt":"We study a variational model which combines features of the Ginzburg-Landau model in 2D and of the Mumford-Shah functional. As in the classical Ginzburg-Landau theory, a prescribed number of point vortices appear in the small energy regime; the model allows for discontinuities, and the energy penalizes their length. The novel phenomenon here is that the vortices have a fractional degree $1/m$ with $m\\geq 2$ prescribed. Those vortices must be connected by line discontinuities to form clusters of total integer degrees. The vortices and line discontinuities are therefore coupled through a topolog"},"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":"1711.08668","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-11-23T12:21:19Z","cross_cats_sorted":[],"title_canon_sha256":"c3386bd994e6162346af47de4ecaff81a00cc612353f2245e787affe8bc27514","abstract_canon_sha256":"fe181e5e93e1244b08d6c9097408237923e0da68cf428091e09c23df91ebc7d9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:44.435763Z","signature_b64":"tj5rBRFLbgG9w+NUmhk0qEhHErLuYe3Y/hy50k0lgv9Ny1uvNhfer0KVKa7FTf//SIkzmeqExovnbY33zKHPCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c65bed29806ec5437a84558c4816bb87481f87d548b289fc1fe4f51299c13c2","last_reissued_at":"2026-05-18T00:29:44.435177Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:44.435177Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Ginzburg-Landau model with topologically induced free discontinuities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Beno\\^it Merlet, Michael Goldman, Vincent Millot","submitted_at":"2017-11-23T12:21:19Z","abstract_excerpt":"We study a variational model which combines features of the Ginzburg-Landau model in 2D and of the Mumford-Shah functional. As in the classical Ginzburg-Landau theory, a prescribed number of point vortices appear in the small energy regime; the model allows for discontinuities, and the energy penalizes their length. The novel phenomenon here is that the vortices have a fractional degree $1/m$ with $m\\geq 2$ prescribed. Those vortices must be connected by line discontinuities to form clusters of total integer degrees. The vortices and line discontinuities are therefore coupled through a topolog"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.08668","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":"1711.08668","created_at":"2026-05-18T00:29:44.435251+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.08668v1","created_at":"2026-05-18T00:29:44.435251+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.08668","created_at":"2026-05-18T00:29:44.435251+00:00"},{"alias_kind":"pith_short_12","alias_value":"PRS35UUYA3WF","created_at":"2026-05-18T12:31:37.085036+00:00"},{"alias_kind":"pith_short_16","alias_value":"PRS35UUYA3WFIN5I","created_at":"2026-05-18T12:31:37.085036+00:00"},{"alias_kind":"pith_short_8","alias_value":"PRS35UUY","created_at":"2026-05-18T12:31:37.085036+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/PRS35UUYA3WFIN5IIVMMJALLXB","json":"https://pith.science/pith/PRS35UUYA3WFIN5IIVMMJALLXB.json","graph_json":"https://pith.science/api/pith-number/PRS35UUYA3WFIN5IIVMMJALLXB/graph.json","events_json":"https://pith.science/api/pith-number/PRS35UUYA3WFIN5IIVMMJALLXB/events.json","paper":"https://pith.science/paper/PRS35UUY"},"agent_actions":{"view_html":"https://pith.science/pith/PRS35UUYA3WFIN5IIVMMJALLXB","download_json":"https://pith.science/pith/PRS35UUYA3WFIN5IIVMMJALLXB.json","view_paper":"https://pith.science/paper/PRS35UUY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.08668&json=true","fetch_graph":"https://pith.science/api/pith-number/PRS35UUYA3WFIN5IIVMMJALLXB/graph.json","fetch_events":"https://pith.science/api/pith-number/PRS35UUYA3WFIN5IIVMMJALLXB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PRS35UUYA3WFIN5IIVMMJALLXB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PRS35UUYA3WFIN5IIVMMJALLXB/action/storage_attestation","attest_author":"https://pith.science/pith/PRS35UUYA3WFIN5IIVMMJALLXB/action/author_attestation","sign_citation":"https://pith.science/pith/PRS35UUYA3WFIN5IIVMMJALLXB/action/citation_signature","submit_replication":"https://pith.science/pith/PRS35UUYA3WFIN5IIVMMJALLXB/action/replication_record"}},"created_at":"2026-05-18T00:29:44.435251+00:00","updated_at":"2026-05-18T00:29:44.435251+00:00"}