{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:ZLVN53BR3ZZEA2YT7JMWBXPTNF","short_pith_number":"pith:ZLVN53BR","schema_version":"1.0","canonical_sha256":"caeadeec31de72406b13fa5960ddf36952512da2636fa4db0dab7af6237e1a5c","source":{"kind":"arxiv","id":"1312.7382","version":1},"attestation_state":"computed","paper":{"title":"The Structure Theorem for The cut locus of a Certain Class of Cylinders of Revolution II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Pakkinee Chitsakul","submitted_at":"2013-12-28T02:10:05Z","abstract_excerpt":"In the previous paper, the structure of the cut locus was determined for a class of surfaces of revolution homeomorphic to a cylinder. In this paper, we prove the structure theorem of the cut locus for a wider class of surfaces of revolution homeomorphic to a cylinder."},"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":"1312.7382","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-12-28T02:10:05Z","cross_cats_sorted":[],"title_canon_sha256":"636b09be10dcc4a0ca2e11ce2be6c65644f85167c16adfd163116140b7f1872b","abstract_canon_sha256":"4fa81478f791716b3c9c62507a35fc336d06e5238584238ea5643acb308053ee"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:03:43.651823Z","signature_b64":"V9IAsjk27lj3QHSWfkzB1LxhI25Oi5EVqq80+HuChxBCD3PbiMflYEqtWitmAmUK/C2ANtRK9xiTd5ZKVX+LCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"caeadeec31de72406b13fa5960ddf36952512da2636fa4db0dab7af6237e1a5c","last_reissued_at":"2026-05-18T03:03:43.651112Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:03:43.651112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Structure Theorem for The cut locus of a Certain Class of Cylinders of Revolution II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Pakkinee Chitsakul","submitted_at":"2013-12-28T02:10:05Z","abstract_excerpt":"In the previous paper, the structure of the cut locus was determined for a class of surfaces of revolution homeomorphic to a cylinder. In this paper, we prove the structure theorem of the cut locus for a wider class of surfaces of revolution homeomorphic to a cylinder."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.7382","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":"1312.7382","created_at":"2026-05-18T03:03:43.651206+00:00"},{"alias_kind":"arxiv_version","alias_value":"1312.7382v1","created_at":"2026-05-18T03:03:43.651206+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.7382","created_at":"2026-05-18T03:03:43.651206+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZLVN53BR3ZZE","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZLVN53BR3ZZEA2YT","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZLVN53BR","created_at":"2026-05-18T12:28:09.283467+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/ZLVN53BR3ZZEA2YT7JMWBXPTNF","json":"https://pith.science/pith/ZLVN53BR3ZZEA2YT7JMWBXPTNF.json","graph_json":"https://pith.science/api/pith-number/ZLVN53BR3ZZEA2YT7JMWBXPTNF/graph.json","events_json":"https://pith.science/api/pith-number/ZLVN53BR3ZZEA2YT7JMWBXPTNF/events.json","paper":"https://pith.science/paper/ZLVN53BR"},"agent_actions":{"view_html":"https://pith.science/pith/ZLVN53BR3ZZEA2YT7JMWBXPTNF","download_json":"https://pith.science/pith/ZLVN53BR3ZZEA2YT7JMWBXPTNF.json","view_paper":"https://pith.science/paper/ZLVN53BR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1312.7382&json=true","fetch_graph":"https://pith.science/api/pith-number/ZLVN53BR3ZZEA2YT7JMWBXPTNF/graph.json","fetch_events":"https://pith.science/api/pith-number/ZLVN53BR3ZZEA2YT7JMWBXPTNF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZLVN53BR3ZZEA2YT7JMWBXPTNF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZLVN53BR3ZZEA2YT7JMWBXPTNF/action/storage_attestation","attest_author":"https://pith.science/pith/ZLVN53BR3ZZEA2YT7JMWBXPTNF/action/author_attestation","sign_citation":"https://pith.science/pith/ZLVN53BR3ZZEA2YT7JMWBXPTNF/action/citation_signature","submit_replication":"https://pith.science/pith/ZLVN53BR3ZZEA2YT7JMWBXPTNF/action/replication_record"}},"created_at":"2026-05-18T03:03:43.651206+00:00","updated_at":"2026-05-18T03:03:43.651206+00:00"}