{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:OGBJHO7SZVCVFBPJFNABC4B7K4","short_pith_number":"pith:OGBJHO7S","schema_version":"1.0","canonical_sha256":"718293bbf2cd455285e92b4011703f5715edf083bf2f7727f36c50d2ada1c078","source":{"kind":"arxiv","id":"1711.05192","version":1},"attestation_state":"computed","paper":{"title":"Low energy configurations of topological singularities in two dimensions: A $\\Gamma$-convergence analysis of dipoles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Lucia De Luca, Marcello Ponsiglione","submitted_at":"2017-11-14T16:57:34Z","abstract_excerpt":"This paper deals with the variational analysis of topological singularities in two dimensions. We consider two canonical zero-temperature models: the core radius approach and the Ginzburg-Landau energy. Denoting by $\\varepsilon$ the length scale parameter in such models, we focus on the $|\\log\\varepsilon|$ energy regime. It is well known that, for configurations whose energy is bounded by $c|\\log\\varepsilon|$, the vorticity measures can be decoupled into the sum of a finite number of Dirac masses, each one of them carrying $\\pi|\\log\\varepsilon|$ energy, plus a measure supported on small zero-a"},"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":"1711.05192","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-11-14T16:57:34Z","cross_cats_sorted":[],"title_canon_sha256":"6d428fd2659a3b73607b838acccef2d4dcd7a8c33a8990ea42c9b1d0b8b49b09","abstract_canon_sha256":"af66b6328e44f180b90bc91e0285be308d822364805bbbf572dd2dd34c283b68"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:34.519619Z","signature_b64":"t4HZ7nTN+kgc+HrQOdzqkC4PJc3mumIdd/m5GUHWHopVvqW82oo9WFiWJYZjraszIQST9CeJMiB4aMESQBWSBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"718293bbf2cd455285e92b4011703f5715edf083bf2f7727f36c50d2ada1c078","last_reissued_at":"2026-05-18T00:30:34.518889Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:34.518889Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Low energy configurations of topological singularities in two dimensions: A $\\Gamma$-convergence analysis of dipoles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Lucia De Luca, Marcello Ponsiglione","submitted_at":"2017-11-14T16:57:34Z","abstract_excerpt":"This paper deals with the variational analysis of topological singularities in two dimensions. We consider two canonical zero-temperature models: the core radius approach and the Ginzburg-Landau energy. Denoting by $\\varepsilon$ the length scale parameter in such models, we focus on the $|\\log\\varepsilon|$ energy regime. It is well known that, for configurations whose energy is bounded by $c|\\log\\varepsilon|$, the vorticity measures can be decoupled into the sum of a finite number of Dirac masses, each one of them carrying $\\pi|\\log\\varepsilon|$ energy, plus a measure supported on small zero-a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.05192","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":"1711.05192","created_at":"2026-05-18T00:30:34.519021+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.05192v1","created_at":"2026-05-18T00:30:34.519021+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.05192","created_at":"2026-05-18T00:30:34.519021+00:00"},{"alias_kind":"pith_short_12","alias_value":"OGBJHO7SZVCV","created_at":"2026-05-18T12:31:34.259226+00:00"},{"alias_kind":"pith_short_16","alias_value":"OGBJHO7SZVCVFBPJ","created_at":"2026-05-18T12:31:34.259226+00:00"},{"alias_kind":"pith_short_8","alias_value":"OGBJHO7S","created_at":"2026-05-18T12:31:34.259226+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/OGBJHO7SZVCVFBPJFNABC4B7K4","json":"https://pith.science/pith/OGBJHO7SZVCVFBPJFNABC4B7K4.json","graph_json":"https://pith.science/api/pith-number/OGBJHO7SZVCVFBPJFNABC4B7K4/graph.json","events_json":"https://pith.science/api/pith-number/OGBJHO7SZVCVFBPJFNABC4B7K4/events.json","paper":"https://pith.science/paper/OGBJHO7S"},"agent_actions":{"view_html":"https://pith.science/pith/OGBJHO7SZVCVFBPJFNABC4B7K4","download_json":"https://pith.science/pith/OGBJHO7SZVCVFBPJFNABC4B7K4.json","view_paper":"https://pith.science/paper/OGBJHO7S","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.05192&json=true","fetch_graph":"https://pith.science/api/pith-number/OGBJHO7SZVCVFBPJFNABC4B7K4/graph.json","fetch_events":"https://pith.science/api/pith-number/OGBJHO7SZVCVFBPJFNABC4B7K4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OGBJHO7SZVCVFBPJFNABC4B7K4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OGBJHO7SZVCVFBPJFNABC4B7K4/action/storage_attestation","attest_author":"https://pith.science/pith/OGBJHO7SZVCVFBPJFNABC4B7K4/action/author_attestation","sign_citation":"https://pith.science/pith/OGBJHO7SZVCVFBPJFNABC4B7K4/action/citation_signature","submit_replication":"https://pith.science/pith/OGBJHO7SZVCVFBPJFNABC4B7K4/action/replication_record"}},"created_at":"2026-05-18T00:30:34.519021+00:00","updated_at":"2026-05-18T00:30:34.519021+00:00"}