{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:O7ZKH2BZHS7MPYF5RTBVGORTFB","short_pith_number":"pith:O7ZKH2BZ","schema_version":"1.0","canonical_sha256":"77f2a3e8393cbec7e0bd8cc3533a3328422bcfbf0ebedd417069269d1be489e6","source":{"kind":"arxiv","id":"1302.4315","version":1},"attestation_state":"computed","paper":{"title":"Embedded triply periodic zero mean curvature surfaces of mixed type in Lorentz-Minkowski 3-space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Kotaro Yamada, Masaaki Umehara, Seong-Deog Yang, Shoichi Fujimori, Wayne Rossman","submitted_at":"2013-02-18T15:35:31Z","abstract_excerpt":"We construct embedded triply periodic zero mean curvature surfaces of mixed type in the Lorentz-Minkowski 3-space with the same topology as the Schwarz D surface in the Euclidean 3-space."},"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":"1302.4315","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-02-18T15:35:31Z","cross_cats_sorted":[],"title_canon_sha256":"683a1eabad2f177add55a8281396ce591c97535c759a0d074efe73ded5921f65","abstract_canon_sha256":"0fb019084443547f41519036f65a277e33695bfcb18d81b254f3395598ad8dbb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:33:23.427342Z","signature_b64":"DrcjTxF52oXupQWZy7MIpom9uJqwb0G8MRSW4sZGURRFXobWKialr7nyBG95hzcLw9JsOvK69RcQ1RqcyKbNAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"77f2a3e8393cbec7e0bd8cc3533a3328422bcfbf0ebedd417069269d1be489e6","last_reissued_at":"2026-05-18T03:33:23.426547Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:33:23.426547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Embedded triply periodic zero mean curvature surfaces of mixed type in Lorentz-Minkowski 3-space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Kotaro Yamada, Masaaki Umehara, Seong-Deog Yang, Shoichi Fujimori, Wayne Rossman","submitted_at":"2013-02-18T15:35:31Z","abstract_excerpt":"We construct embedded triply periodic zero mean curvature surfaces of mixed type in the Lorentz-Minkowski 3-space with the same topology as the Schwarz D surface in the Euclidean 3-space."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.4315","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":"1302.4315","created_at":"2026-05-18T03:33:23.426662+00:00"},{"alias_kind":"arxiv_version","alias_value":"1302.4315v1","created_at":"2026-05-18T03:33:23.426662+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.4315","created_at":"2026-05-18T03:33:23.426662+00:00"},{"alias_kind":"pith_short_12","alias_value":"O7ZKH2BZHS7M","created_at":"2026-05-18T12:27:54.935989+00:00"},{"alias_kind":"pith_short_16","alias_value":"O7ZKH2BZHS7MPYF5","created_at":"2026-05-18T12:27:54.935989+00:00"},{"alias_kind":"pith_short_8","alias_value":"O7ZKH2BZ","created_at":"2026-05-18T12:27:54.935989+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/O7ZKH2BZHS7MPYF5RTBVGORTFB","json":"https://pith.science/pith/O7ZKH2BZHS7MPYF5RTBVGORTFB.json","graph_json":"https://pith.science/api/pith-number/O7ZKH2BZHS7MPYF5RTBVGORTFB/graph.json","events_json":"https://pith.science/api/pith-number/O7ZKH2BZHS7MPYF5RTBVGORTFB/events.json","paper":"https://pith.science/paper/O7ZKH2BZ"},"agent_actions":{"view_html":"https://pith.science/pith/O7ZKH2BZHS7MPYF5RTBVGORTFB","download_json":"https://pith.science/pith/O7ZKH2BZHS7MPYF5RTBVGORTFB.json","view_paper":"https://pith.science/paper/O7ZKH2BZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1302.4315&json=true","fetch_graph":"https://pith.science/api/pith-number/O7ZKH2BZHS7MPYF5RTBVGORTFB/graph.json","fetch_events":"https://pith.science/api/pith-number/O7ZKH2BZHS7MPYF5RTBVGORTFB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/O7ZKH2BZHS7MPYF5RTBVGORTFB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/O7ZKH2BZHS7MPYF5RTBVGORTFB/action/storage_attestation","attest_author":"https://pith.science/pith/O7ZKH2BZHS7MPYF5RTBVGORTFB/action/author_attestation","sign_citation":"https://pith.science/pith/O7ZKH2BZHS7MPYF5RTBVGORTFB/action/citation_signature","submit_replication":"https://pith.science/pith/O7ZKH2BZHS7MPYF5RTBVGORTFB/action/replication_record"}},"created_at":"2026-05-18T03:33:23.426662+00:00","updated_at":"2026-05-18T03:33:23.426662+00:00"}