{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:D6WFCET5O25SSIEEEXRQKIGTNH","short_pith_number":"pith:D6WFCET5","schema_version":"1.0","canonical_sha256":"1fac51127d76bb29208425e30520d369d2a15374cb6555b67663dde59b02b550","source":{"kind":"arxiv","id":"1703.04328","version":1},"attestation_state":"computed","paper":{"title":"A Large-Scale Regularity Theory for Random Elliptic Operators on the Half-Space with Homogeneous Neumann Boundary Data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Claudia Raithel","submitted_at":"2017-03-13T10:56:39Z","abstract_excerpt":"In this note we derive large-scale regularity properties of solutions to second-order linear elliptic equations with random coefficients on the half- space with homogeneous Neumann boundary data; it is a companion to arXiv:1604.02717 in which the situation for homogeneous Dirichlet boundary data was addressed. Similarly to arXiv:1604.02717, the results in this contribution are expressed in terms of a first-order Liouville principle. It follows from an excess-decay that is shown through means of a stochastic homogenization-inspired Campanato iteration. The core of this contribution is the const"},"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":"1703.04328","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-03-13T10:56:39Z","cross_cats_sorted":[],"title_canon_sha256":"8b063af6fad25f4c1363ecbbd64cc59f92fc39ab5ca44065511aacd9880041de","abstract_canon_sha256":"1a854c9fcb3a665f3b4a5024e606c04b5f353725eb74a31326c46e77f36fc48a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:49.054168Z","signature_b64":"B9MTWsrDXFwl2ubqlCuVDuUprLfaCh49A3IpIomUo95CVf76yMlFT+/WNB+oJcghFJ5pGGtVFH85hjMvDaDMCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1fac51127d76bb29208425e30520d369d2a15374cb6555b67663dde59b02b550","last_reissued_at":"2026-05-18T00:48:49.053456Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:49.053456Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Large-Scale Regularity Theory for Random Elliptic Operators on the Half-Space with Homogeneous Neumann Boundary Data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Claudia Raithel","submitted_at":"2017-03-13T10:56:39Z","abstract_excerpt":"In this note we derive large-scale regularity properties of solutions to second-order linear elliptic equations with random coefficients on the half- space with homogeneous Neumann boundary data; it is a companion to arXiv:1604.02717 in which the situation for homogeneous Dirichlet boundary data was addressed. Similarly to arXiv:1604.02717, the results in this contribution are expressed in terms of a first-order Liouville principle. It follows from an excess-decay that is shown through means of a stochastic homogenization-inspired Campanato iteration. The core of this contribution is the const"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.04328","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":"1703.04328","created_at":"2026-05-18T00:48:49.053568+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.04328v1","created_at":"2026-05-18T00:48:49.053568+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.04328","created_at":"2026-05-18T00:48:49.053568+00:00"},{"alias_kind":"pith_short_12","alias_value":"D6WFCET5O25S","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_16","alias_value":"D6WFCET5O25SSIEE","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_8","alias_value":"D6WFCET5","created_at":"2026-05-18T12:31:10.602751+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/D6WFCET5O25SSIEEEXRQKIGTNH","json":"https://pith.science/pith/D6WFCET5O25SSIEEEXRQKIGTNH.json","graph_json":"https://pith.science/api/pith-number/D6WFCET5O25SSIEEEXRQKIGTNH/graph.json","events_json":"https://pith.science/api/pith-number/D6WFCET5O25SSIEEEXRQKIGTNH/events.json","paper":"https://pith.science/paper/D6WFCET5"},"agent_actions":{"view_html":"https://pith.science/pith/D6WFCET5O25SSIEEEXRQKIGTNH","download_json":"https://pith.science/pith/D6WFCET5O25SSIEEEXRQKIGTNH.json","view_paper":"https://pith.science/paper/D6WFCET5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.04328&json=true","fetch_graph":"https://pith.science/api/pith-number/D6WFCET5O25SSIEEEXRQKIGTNH/graph.json","fetch_events":"https://pith.science/api/pith-number/D6WFCET5O25SSIEEEXRQKIGTNH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/D6WFCET5O25SSIEEEXRQKIGTNH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/D6WFCET5O25SSIEEEXRQKIGTNH/action/storage_attestation","attest_author":"https://pith.science/pith/D6WFCET5O25SSIEEEXRQKIGTNH/action/author_attestation","sign_citation":"https://pith.science/pith/D6WFCET5O25SSIEEEXRQKIGTNH/action/citation_signature","submit_replication":"https://pith.science/pith/D6WFCET5O25SSIEEEXRQKIGTNH/action/replication_record"}},"created_at":"2026-05-18T00:48:49.053568+00:00","updated_at":"2026-05-18T00:48:49.053568+00:00"}