{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:QVM7DVVMRDXT3N7WNCDG65F72G","short_pith_number":"pith:QVM7DVVM","schema_version":"1.0","canonical_sha256":"8559f1d6ac88ef3db7f668866f74bfd1b5c7705dc033142042f5c195f884b480","source":{"kind":"arxiv","id":"2403.16878","version":2},"attestation_state":"computed","paper":{"title":"Global well-posedness of the stochastic Abelian-Higgs equations in two dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.PR"],"primary_cat":"math.AP","authors_text":"Bjoern Bringmann, Sky Cao","submitted_at":"2024-03-25T15:44:41Z","abstract_excerpt":"We prove the global well-posedness of the stochastic Abelian-Higgs equations in two dimensions. The proof is based on a new covariant approach, which consists of two parts: First, we introduce covariant stochastic objects. The covariant stochastic objects and their multi-linear interactions are controlled using covariant heat kernel estimates. Second, we control nonlinear remainders using a covariant monotonicity formula, which is inspired by earlier work of Hamilton."},"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":"2403.16878","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-03-25T15:44:41Z","cross_cats_sorted":["math-ph","math.MP","math.PR"],"title_canon_sha256":"bd9e7aa77f3e8406483291dec95f18ee4ade966183d4a45fcd2f48c02a36d718","abstract_canon_sha256":"dfef4c2123bc853ee759b2b7d1416dee50098ad40dd38ddb38c14e3a6cf74ef1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:25:02.072388Z","signature_b64":"Ol0mcO/lcypIx2RbJJ8NWxHV1szAWzdRDrY1fey6eBlHpfLtvoJ9tUG32axZowpfE4qv0d2uFM1UtbhET9XDDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8559f1d6ac88ef3db7f668866f74bfd1b5c7705dc033142042f5c195f884b480","last_reissued_at":"2026-07-05T08:25:02.071912Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:25:02.071912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Global well-posedness of the stochastic Abelian-Higgs equations in two dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.PR"],"primary_cat":"math.AP","authors_text":"Bjoern Bringmann, Sky Cao","submitted_at":"2024-03-25T15:44:41Z","abstract_excerpt":"We prove the global well-posedness of the stochastic Abelian-Higgs equations in two dimensions. The proof is based on a new covariant approach, which consists of two parts: First, we introduce covariant stochastic objects. The covariant stochastic objects and their multi-linear interactions are controlled using covariant heat kernel estimates. Second, we control nonlinear remainders using a covariant monotonicity formula, which is inspired by earlier work of Hamilton."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.16878","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2403.16878/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2403.16878","created_at":"2026-07-05T08:25:02.071969+00:00"},{"alias_kind":"arxiv_version","alias_value":"2403.16878v2","created_at":"2026-07-05T08:25:02.071969+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.16878","created_at":"2026-07-05T08:25:02.071969+00:00"},{"alias_kind":"pith_short_12","alias_value":"QVM7DVVMRDXT","created_at":"2026-07-05T08:25:02.071969+00:00"},{"alias_kind":"pith_short_16","alias_value":"QVM7DVVMRDXT3N7W","created_at":"2026-07-05T08:25:02.071969+00:00"},{"alias_kind":"pith_short_8","alias_value":"QVM7DVVM","created_at":"2026-07-05T08:25:02.071969+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.26681","citing_title":"Global well-posedness for generalized parabolic Anderson model on the whole plane","ref_index":1,"is_internal_anchor":false},{"citing_arxiv_id":"2401.10507","citing_title":"A scaling limit of $\\mathrm{SU}(2)$ lattice Yang-Mills-Higgs theory","ref_index":11,"is_internal_anchor":false},{"citing_arxiv_id":"2605.16162","citing_title":"Deconfinement For $\\mathrm{SO}(3)$ Lattice Yang-Mills at Strong Coupling","ref_index":94,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QVM7DVVMRDXT3N7WNCDG65F72G","json":"https://pith.science/pith/QVM7DVVMRDXT3N7WNCDG65F72G.json","graph_json":"https://pith.science/api/pith-number/QVM7DVVMRDXT3N7WNCDG65F72G/graph.json","events_json":"https://pith.science/api/pith-number/QVM7DVVMRDXT3N7WNCDG65F72G/events.json","paper":"https://pith.science/paper/QVM7DVVM"},"agent_actions":{"view_html":"https://pith.science/pith/QVM7DVVMRDXT3N7WNCDG65F72G","download_json":"https://pith.science/pith/QVM7DVVMRDXT3N7WNCDG65F72G.json","view_paper":"https://pith.science/paper/QVM7DVVM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2403.16878&json=true","fetch_graph":"https://pith.science/api/pith-number/QVM7DVVMRDXT3N7WNCDG65F72G/graph.json","fetch_events":"https://pith.science/api/pith-number/QVM7DVVMRDXT3N7WNCDG65F72G/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QVM7DVVMRDXT3N7WNCDG65F72G/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QVM7DVVMRDXT3N7WNCDG65F72G/action/storage_attestation","attest_author":"https://pith.science/pith/QVM7DVVMRDXT3N7WNCDG65F72G/action/author_attestation","sign_citation":"https://pith.science/pith/QVM7DVVMRDXT3N7WNCDG65F72G/action/citation_signature","submit_replication":"https://pith.science/pith/QVM7DVVMRDXT3N7WNCDG65F72G/action/replication_record"}},"created_at":"2026-07-05T08:25:02.071969+00:00","updated_at":"2026-07-05T08:25:02.071969+00:00"}