{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:RMMAW3WP5EKCCMQDAZRWMETCDW","short_pith_number":"pith:RMMAW3WP","schema_version":"1.0","canonical_sha256":"8b180b6ecfe91421320306636612621db4ca26969666c44db235efc8eb0ee35f","source":{"kind":"arxiv","id":"1604.02772","version":1},"attestation_state":"computed","paper":{"title":"A construction method for discrete constant negative Gaussian curvature surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Shimpei Kobayashi","submitted_at":"2016-04-11T01:32:17Z","abstract_excerpt":"This article is an application of the author's paper about a construction method for discrete constant negative Gaussian curvature surfaces, the nonlinear d'Alembert formula. The heart of this formula is the Birkhoff decomposition, and we give a simple algorithm for the Birkhoff decomposition. As an application, we draw figures of discrete constant negative Gaussian curvature surfaces given by this method."},"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":"1604.02772","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-04-11T01:32:17Z","cross_cats_sorted":[],"title_canon_sha256":"71445e6858eb3ad71a1d71d8390322469803069cdce8e303b226c74fac2af283","abstract_canon_sha256":"c1e460519229834082243668892e0e8a12584fc54068f80bb950895da8de9303"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:22.205590Z","signature_b64":"Jeq7LsOUzjFjUysDU1qWF0zLjz5WXmcIszr6/o1F/vnbOvC8tSu/U/pqeSWFT5M5e7QJ0IsNxm7tTut/lv74BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8b180b6ecfe91421320306636612621db4ca26969666c44db235efc8eb0ee35f","last_reissued_at":"2026-05-18T01:17:22.205171Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:22.205171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A construction method for discrete constant negative Gaussian curvature surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Shimpei Kobayashi","submitted_at":"2016-04-11T01:32:17Z","abstract_excerpt":"This article is an application of the author's paper about a construction method for discrete constant negative Gaussian curvature surfaces, the nonlinear d'Alembert formula. The heart of this formula is the Birkhoff decomposition, and we give a simple algorithm for the Birkhoff decomposition. As an application, we draw figures of discrete constant negative Gaussian curvature surfaces given by this method."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02772","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":"1604.02772","created_at":"2026-05-18T01:17:22.205233+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.02772v1","created_at":"2026-05-18T01:17:22.205233+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.02772","created_at":"2026-05-18T01:17:22.205233+00:00"},{"alias_kind":"pith_short_12","alias_value":"RMMAW3WP5EKC","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_16","alias_value":"RMMAW3WP5EKCCMQD","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_8","alias_value":"RMMAW3WP","created_at":"2026-05-18T12:30:41.710351+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/RMMAW3WP5EKCCMQDAZRWMETCDW","json":"https://pith.science/pith/RMMAW3WP5EKCCMQDAZRWMETCDW.json","graph_json":"https://pith.science/api/pith-number/RMMAW3WP5EKCCMQDAZRWMETCDW/graph.json","events_json":"https://pith.science/api/pith-number/RMMAW3WP5EKCCMQDAZRWMETCDW/events.json","paper":"https://pith.science/paper/RMMAW3WP"},"agent_actions":{"view_html":"https://pith.science/pith/RMMAW3WP5EKCCMQDAZRWMETCDW","download_json":"https://pith.science/pith/RMMAW3WP5EKCCMQDAZRWMETCDW.json","view_paper":"https://pith.science/paper/RMMAW3WP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.02772&json=true","fetch_graph":"https://pith.science/api/pith-number/RMMAW3WP5EKCCMQDAZRWMETCDW/graph.json","fetch_events":"https://pith.science/api/pith-number/RMMAW3WP5EKCCMQDAZRWMETCDW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RMMAW3WP5EKCCMQDAZRWMETCDW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RMMAW3WP5EKCCMQDAZRWMETCDW/action/storage_attestation","attest_author":"https://pith.science/pith/RMMAW3WP5EKCCMQDAZRWMETCDW/action/author_attestation","sign_citation":"https://pith.science/pith/RMMAW3WP5EKCCMQDAZRWMETCDW/action/citation_signature","submit_replication":"https://pith.science/pith/RMMAW3WP5EKCCMQDAZRWMETCDW/action/replication_record"}},"created_at":"2026-05-18T01:17:22.205233+00:00","updated_at":"2026-05-18T01:17:22.205233+00:00"}