{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:B2G2NGIZLF7OTA6JZQKGYEUMQD","short_pith_number":"pith:B2G2NGIZ","schema_version":"1.0","canonical_sha256":"0e8da69919597ee983c9cc146c128c80e81cf7f4123fe2084ae1eaba817f4cd2","source":{"kind":"arxiv","id":"1708.09329","version":1},"attestation_state":"computed","paper":{"title":"Solutions to a two-dimensional, Neumann free boundary problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Gary Moon, John A. Gemmer, Sarah Raynor","submitted_at":"2017-08-30T15:49:29Z","abstract_excerpt":"We explore regularity properties of solutions to a two-phase elliptic free boundary problem near a Neumann fixed boundary in two dimensions. Consider a function u, which is harmonic where it is not zero and satisfies a gradient jump condition weakly along the free boundary. Our main result is that u is Lipschitz continuous up to the Neumann fixed boundary. We also present a numerical exploration of the way in which the free and fixed boundaries interact."},"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":"1708.09329","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-08-30T15:49:29Z","cross_cats_sorted":[],"title_canon_sha256":"d4f9609392e607f15ada46938e38785205a635355778e2b5ac199eb6a9983c4c","abstract_canon_sha256":"3a9fd123fa2e34a2b284f6759bc29f922c8b10cb9c4738e923233425a49592da"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:20.159706Z","signature_b64":"O02Pomr2jy/9TnYgOa8qUo3A+MFkZ9EgJoS1b/LuT6vg7jPqUgf69ioZ0fk/R5KjDSDxZZ3G4grq/I6c3tq6CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0e8da69919597ee983c9cc146c128c80e81cf7f4123fe2084ae1eaba817f4cd2","last_reissued_at":"2026-05-18T00:36:20.159176Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:20.159176Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Solutions to a two-dimensional, Neumann free boundary problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Gary Moon, John A. Gemmer, Sarah Raynor","submitted_at":"2017-08-30T15:49:29Z","abstract_excerpt":"We explore regularity properties of solutions to a two-phase elliptic free boundary problem near a Neumann fixed boundary in two dimensions. Consider a function u, which is harmonic where it is not zero and satisfies a gradient jump condition weakly along the free boundary. Our main result is that u is Lipschitz continuous up to the Neumann fixed boundary. We also present a numerical exploration of the way in which the free and fixed boundaries interact."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.09329","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":"1708.09329","created_at":"2026-05-18T00:36:20.159265+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.09329v1","created_at":"2026-05-18T00:36:20.159265+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.09329","created_at":"2026-05-18T00:36:20.159265+00:00"},{"alias_kind":"pith_short_12","alias_value":"B2G2NGIZLF7O","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_16","alias_value":"B2G2NGIZLF7OTA6J","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_8","alias_value":"B2G2NGIZ","created_at":"2026-05-18T12:31:08.081275+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/B2G2NGIZLF7OTA6JZQKGYEUMQD","json":"https://pith.science/pith/B2G2NGIZLF7OTA6JZQKGYEUMQD.json","graph_json":"https://pith.science/api/pith-number/B2G2NGIZLF7OTA6JZQKGYEUMQD/graph.json","events_json":"https://pith.science/api/pith-number/B2G2NGIZLF7OTA6JZQKGYEUMQD/events.json","paper":"https://pith.science/paper/B2G2NGIZ"},"agent_actions":{"view_html":"https://pith.science/pith/B2G2NGIZLF7OTA6JZQKGYEUMQD","download_json":"https://pith.science/pith/B2G2NGIZLF7OTA6JZQKGYEUMQD.json","view_paper":"https://pith.science/paper/B2G2NGIZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.09329&json=true","fetch_graph":"https://pith.science/api/pith-number/B2G2NGIZLF7OTA6JZQKGYEUMQD/graph.json","fetch_events":"https://pith.science/api/pith-number/B2G2NGIZLF7OTA6JZQKGYEUMQD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B2G2NGIZLF7OTA6JZQKGYEUMQD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B2G2NGIZLF7OTA6JZQKGYEUMQD/action/storage_attestation","attest_author":"https://pith.science/pith/B2G2NGIZLF7OTA6JZQKGYEUMQD/action/author_attestation","sign_citation":"https://pith.science/pith/B2G2NGIZLF7OTA6JZQKGYEUMQD/action/citation_signature","submit_replication":"https://pith.science/pith/B2G2NGIZLF7OTA6JZQKGYEUMQD/action/replication_record"}},"created_at":"2026-05-18T00:36:20.159265+00:00","updated_at":"2026-05-18T00:36:20.159265+00:00"}