{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:EWDKZL7RPZKVVX2PSUE3EXCYZK","short_pith_number":"pith:EWDKZL7R","schema_version":"1.0","canonical_sha256":"2586acaff17e555adf4f9509b25c58cabf5d8e75f793e7df2ad76721021cb3a4","source":{"kind":"arxiv","id":"1611.00143","version":1},"attestation_state":"computed","paper":{"title":"Discrete linear Weingarten surfaces with singularities in Riemannian and Lorentzian spaceforms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Masashi Yasumoto, Wayne Rossman","submitted_at":"2016-11-01T07:04:33Z","abstract_excerpt":"In this paper we define and analyze singularities of discrete linear Weingarten surfaces with Weierstrass-type representations in $3$-dimensional Riemannian and Lorentzian spaceforms. In particular, we discuss singularities of discrete surfaces with non-zero constant Gaussian curvature, and parallel surfaces of discrete minimal and maximal surfaces, and discrete constant mean curvature $1$ surfaces in de Sitter $3$-space, including comparisons with different previously known definitions of such singularities."},"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":"1611.00143","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-11-01T07:04:33Z","cross_cats_sorted":[],"title_canon_sha256":"6fb10ba61f9e5882bb9d005f8b7b2836373ec1541a9c00dae8130db4548d0822","abstract_canon_sha256":"5c062b3679ae2922c2bfbf29efcde6f04f3beec42ed00d4bd2ca00a2d3e39842"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:41.393903Z","signature_b64":"K3KBp9OZLS3FPUhCWltfG+Ag5DsGsVBQJd6utyEBpIVKqlW4h5Cdd88L8GGA9QD5JTmW7k7T0LDMmluKwfPDCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2586acaff17e555adf4f9509b25c58cabf5d8e75f793e7df2ad76721021cb3a4","last_reissued_at":"2026-05-18T01:00:41.393432Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:41.393432Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Discrete linear Weingarten surfaces with singularities in Riemannian and Lorentzian spaceforms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Masashi Yasumoto, Wayne Rossman","submitted_at":"2016-11-01T07:04:33Z","abstract_excerpt":"In this paper we define and analyze singularities of discrete linear Weingarten surfaces with Weierstrass-type representations in $3$-dimensional Riemannian and Lorentzian spaceforms. In particular, we discuss singularities of discrete surfaces with non-zero constant Gaussian curvature, and parallel surfaces of discrete minimal and maximal surfaces, and discrete constant mean curvature $1$ surfaces in de Sitter $3$-space, including comparisons with different previously known definitions of such singularities."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.00143","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":"1611.00143","created_at":"2026-05-18T01:00:41.393499+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.00143v1","created_at":"2026-05-18T01:00:41.393499+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.00143","created_at":"2026-05-18T01:00:41.393499+00:00"},{"alias_kind":"pith_short_12","alias_value":"EWDKZL7RPZKV","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_16","alias_value":"EWDKZL7RPZKVVX2P","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_8","alias_value":"EWDKZL7R","created_at":"2026-05-18T12:30:15.759754+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/EWDKZL7RPZKVVX2PSUE3EXCYZK","json":"https://pith.science/pith/EWDKZL7RPZKVVX2PSUE3EXCYZK.json","graph_json":"https://pith.science/api/pith-number/EWDKZL7RPZKVVX2PSUE3EXCYZK/graph.json","events_json":"https://pith.science/api/pith-number/EWDKZL7RPZKVVX2PSUE3EXCYZK/events.json","paper":"https://pith.science/paper/EWDKZL7R"},"agent_actions":{"view_html":"https://pith.science/pith/EWDKZL7RPZKVVX2PSUE3EXCYZK","download_json":"https://pith.science/pith/EWDKZL7RPZKVVX2PSUE3EXCYZK.json","view_paper":"https://pith.science/paper/EWDKZL7R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.00143&json=true","fetch_graph":"https://pith.science/api/pith-number/EWDKZL7RPZKVVX2PSUE3EXCYZK/graph.json","fetch_events":"https://pith.science/api/pith-number/EWDKZL7RPZKVVX2PSUE3EXCYZK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EWDKZL7RPZKVVX2PSUE3EXCYZK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EWDKZL7RPZKVVX2PSUE3EXCYZK/action/storage_attestation","attest_author":"https://pith.science/pith/EWDKZL7RPZKVVX2PSUE3EXCYZK/action/author_attestation","sign_citation":"https://pith.science/pith/EWDKZL7RPZKVVX2PSUE3EXCYZK/action/citation_signature","submit_replication":"https://pith.science/pith/EWDKZL7RPZKVVX2PSUE3EXCYZK/action/replication_record"}},"created_at":"2026-05-18T01:00:41.393499+00:00","updated_at":"2026-05-18T01:00:41.393499+00:00"}