{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:WNNR3QPRGAO5LKLYXDRUYFMQSL","short_pith_number":"pith:WNNR3QPR","schema_version":"1.0","canonical_sha256":"b35b1dc1f1301dd5a978b8e34c159092f4cb925ce0e91d5a09d869b978b37169","source":{"kind":"arxiv","id":"1203.5330","version":1},"attestation_state":"computed","paper":{"title":"Plateau's problem for integral currents in locally non-compact metric spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.DG","authors_text":"Stefan Wenger","submitted_at":"2012-03-23T19:52:11Z","abstract_excerpt":"The purpose of this article is to prove existence of mass minimizing integral currents with prescribed possibly non-compact boundary in all dual Banach spaces and furthermore in certain spaces without linear structure, such as injective metric spaces and Hadamard spaces. We furthermore prove a weak$^*$-compactness theorem for integral currents in dual spaces of separable Banach spaces. Our theorems generalize results of Ambrosio-Kirchheim, Lang, the author, and recent results of Ambrosio-Schmidt."},"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":"1203.5330","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-03-23T19:52:11Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"deb37a9b3b0c2485c1a424e0935125c2d9cf91db5f0c6df1f5637ac74f35fff3","abstract_canon_sha256":"f38473bba3c30a190ff665db7c4cf60f340cb7d7a7dea10ee431a9db494e38cd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:59:26.141808Z","signature_b64":"RDXIyeyHDgStt4dBWZU7wxFqmlwHHTerUDSOhS7JcYhYfN1wA1XLjupHgd0rEeZh0nxaqnlpPx/UFzgU+mLWBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b35b1dc1f1301dd5a978b8e34c159092f4cb925ce0e91d5a09d869b978b37169","last_reissued_at":"2026-05-18T03:59:26.140997Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:59:26.140997Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Plateau's problem for integral currents in locally non-compact metric spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.DG","authors_text":"Stefan Wenger","submitted_at":"2012-03-23T19:52:11Z","abstract_excerpt":"The purpose of this article is to prove existence of mass minimizing integral currents with prescribed possibly non-compact boundary in all dual Banach spaces and furthermore in certain spaces without linear structure, such as injective metric spaces and Hadamard spaces. We furthermore prove a weak$^*$-compactness theorem for integral currents in dual spaces of separable Banach spaces. Our theorems generalize results of Ambrosio-Kirchheim, Lang, the author, and recent results of Ambrosio-Schmidt."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.5330","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":"1203.5330","created_at":"2026-05-18T03:59:26.141140+00:00"},{"alias_kind":"arxiv_version","alias_value":"1203.5330v1","created_at":"2026-05-18T03:59:26.141140+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.5330","created_at":"2026-05-18T03:59:26.141140+00:00"},{"alias_kind":"pith_short_12","alias_value":"WNNR3QPRGAO5","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_16","alias_value":"WNNR3QPRGAO5LKLY","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_8","alias_value":"WNNR3QPR","created_at":"2026-05-18T12:27:25.539911+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/WNNR3QPRGAO5LKLYXDRUYFMQSL","json":"https://pith.science/pith/WNNR3QPRGAO5LKLYXDRUYFMQSL.json","graph_json":"https://pith.science/api/pith-number/WNNR3QPRGAO5LKLYXDRUYFMQSL/graph.json","events_json":"https://pith.science/api/pith-number/WNNR3QPRGAO5LKLYXDRUYFMQSL/events.json","paper":"https://pith.science/paper/WNNR3QPR"},"agent_actions":{"view_html":"https://pith.science/pith/WNNR3QPRGAO5LKLYXDRUYFMQSL","download_json":"https://pith.science/pith/WNNR3QPRGAO5LKLYXDRUYFMQSL.json","view_paper":"https://pith.science/paper/WNNR3QPR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1203.5330&json=true","fetch_graph":"https://pith.science/api/pith-number/WNNR3QPRGAO5LKLYXDRUYFMQSL/graph.json","fetch_events":"https://pith.science/api/pith-number/WNNR3QPRGAO5LKLYXDRUYFMQSL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WNNR3QPRGAO5LKLYXDRUYFMQSL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WNNR3QPRGAO5LKLYXDRUYFMQSL/action/storage_attestation","attest_author":"https://pith.science/pith/WNNR3QPRGAO5LKLYXDRUYFMQSL/action/author_attestation","sign_citation":"https://pith.science/pith/WNNR3QPRGAO5LKLYXDRUYFMQSL/action/citation_signature","submit_replication":"https://pith.science/pith/WNNR3QPRGAO5LKLYXDRUYFMQSL/action/replication_record"}},"created_at":"2026-05-18T03:59:26.141140+00:00","updated_at":"2026-05-18T03:59:26.141140+00:00"}