{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:4AQLVAZUT47W6SQLKY4YEWZNY5","short_pith_number":"pith:4AQLVAZU","schema_version":"1.0","canonical_sha256":"e020ba83349f3f6f4a0b5639825b2dc75203f9513f5e7bd28cf4af39efa26119","source":{"kind":"arxiv","id":"1311.3334","version":1},"attestation_state":"computed","paper":{"title":"On the growth of solutions to the minimal surface equation over domains containing a halfplane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV","math.DG"],"primary_cat":"math.AP","authors_text":"Allen Weitsman, Erik Lundberg","submitted_at":"2013-11-13T22:59:39Z","abstract_excerpt":"We consider minimal graphs u(x,y)>0 over unbounded domains D (with u vanishing on the boundary of D). Assuming D contains a sector properly containing a halfplane, we obtain estimates on growth and provide examples illustrating a range of growth."},"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":"1311.3334","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-11-13T22:59:39Z","cross_cats_sorted":["math.CV","math.DG"],"title_canon_sha256":"9807c71b5bfd6ea85610bbc80cf86b4dc62c98d574e54c415ab41c4166cf890c","abstract_canon_sha256":"532110482f845b77520f2b296619fe7590a8dbaad705dfa927c561386f4cc648"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:07:11.764885Z","signature_b64":"Z0SGQMsoosD9XvDGTBv+j4rH6TzXj7VPU6l4e3PGmxRS8jzpYazVHgACBY1FrynzUN3NrvN10YRlWRVETMECAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e020ba83349f3f6f4a0b5639825b2dc75203f9513f5e7bd28cf4af39efa26119","last_reissued_at":"2026-05-18T03:07:11.764355Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:07:11.764355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the growth of solutions to the minimal surface equation over domains containing a halfplane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV","math.DG"],"primary_cat":"math.AP","authors_text":"Allen Weitsman, Erik Lundberg","submitted_at":"2013-11-13T22:59:39Z","abstract_excerpt":"We consider minimal graphs u(x,y)>0 over unbounded domains D (with u vanishing on the boundary of D). Assuming D contains a sector properly containing a halfplane, we obtain estimates on growth and provide examples illustrating a range of growth."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.3334","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":"1311.3334","created_at":"2026-05-18T03:07:11.764427+00:00"},{"alias_kind":"arxiv_version","alias_value":"1311.3334v1","created_at":"2026-05-18T03:07:11.764427+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.3334","created_at":"2026-05-18T03:07:11.764427+00:00"},{"alias_kind":"pith_short_12","alias_value":"4AQLVAZUT47W","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_16","alias_value":"4AQLVAZUT47W6SQL","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_8","alias_value":"4AQLVAZU","created_at":"2026-05-18T12:27:32.513160+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/4AQLVAZUT47W6SQLKY4YEWZNY5","json":"https://pith.science/pith/4AQLVAZUT47W6SQLKY4YEWZNY5.json","graph_json":"https://pith.science/api/pith-number/4AQLVAZUT47W6SQLKY4YEWZNY5/graph.json","events_json":"https://pith.science/api/pith-number/4AQLVAZUT47W6SQLKY4YEWZNY5/events.json","paper":"https://pith.science/paper/4AQLVAZU"},"agent_actions":{"view_html":"https://pith.science/pith/4AQLVAZUT47W6SQLKY4YEWZNY5","download_json":"https://pith.science/pith/4AQLVAZUT47W6SQLKY4YEWZNY5.json","view_paper":"https://pith.science/paper/4AQLVAZU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1311.3334&json=true","fetch_graph":"https://pith.science/api/pith-number/4AQLVAZUT47W6SQLKY4YEWZNY5/graph.json","fetch_events":"https://pith.science/api/pith-number/4AQLVAZUT47W6SQLKY4YEWZNY5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4AQLVAZUT47W6SQLKY4YEWZNY5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4AQLVAZUT47W6SQLKY4YEWZNY5/action/storage_attestation","attest_author":"https://pith.science/pith/4AQLVAZUT47W6SQLKY4YEWZNY5/action/author_attestation","sign_citation":"https://pith.science/pith/4AQLVAZUT47W6SQLKY4YEWZNY5/action/citation_signature","submit_replication":"https://pith.science/pith/4AQLVAZUT47W6SQLKY4YEWZNY5/action/replication_record"}},"created_at":"2026-05-18T03:07:11.764427+00:00","updated_at":"2026-05-18T03:07:11.764427+00:00"}