{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:AIYWLQSZCXQYDO7I5BMMJMDOQ3","short_pith_number":"pith:AIYWLQSZ","schema_version":"1.0","canonical_sha256":"023165c25915e181bbe8e858c4b06e86cd323a2ac28e562a9d982f600cd1f05f","source":{"kind":"arxiv","id":"1506.00764","version":1},"attestation_state":"computed","paper":{"title":"Why cigar can not be isometrically immersed into the 3-space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Anqiang Zhu, Li Ma","submitted_at":"2015-06-02T06:26:17Z","abstract_excerpt":"In this paper, we study the question if there is an isometric immersion of the cigar soliton into $R^3$. We show that the answer is negative. Similar result in higher dimensions is also true for steady Bryant solitons."},"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":"1506.00764","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-06-02T06:26:17Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"63792bf57c29f8f86882b54156e6d031e75385b79198c0d4909f390e1b68cb03","abstract_canon_sha256":"7ffe121755f71a92e74b4912dc49fc671c51eb999fcb191de6aaec3e5792e8b8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:51.267207Z","signature_b64":"z+5Tg87pVFYtSGg3w5rgaOSyPbDmsjE0RR1Zc7B09YqjWKg9N31k5eKOieldY7H4p1CUb6alrdN7mqgj7lnaDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"023165c25915e181bbe8e858c4b06e86cd323a2ac28e562a9d982f600cd1f05f","last_reissued_at":"2026-05-18T01:59:51.266752Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:51.266752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Why cigar can not be isometrically immersed into the 3-space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Anqiang Zhu, Li Ma","submitted_at":"2015-06-02T06:26:17Z","abstract_excerpt":"In this paper, we study the question if there is an isometric immersion of the cigar soliton into $R^3$. We show that the answer is negative. Similar result in higher dimensions is also true for steady Bryant solitons."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.00764","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":"1506.00764","created_at":"2026-05-18T01:59:51.266820+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.00764v1","created_at":"2026-05-18T01:59:51.266820+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.00764","created_at":"2026-05-18T01:59:51.266820+00:00"},{"alias_kind":"pith_short_12","alias_value":"AIYWLQSZCXQY","created_at":"2026-05-18T12:29:10.953037+00:00"},{"alias_kind":"pith_short_16","alias_value":"AIYWLQSZCXQYDO7I","created_at":"2026-05-18T12:29:10.953037+00:00"},{"alias_kind":"pith_short_8","alias_value":"AIYWLQSZ","created_at":"2026-05-18T12:29:10.953037+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/AIYWLQSZCXQYDO7I5BMMJMDOQ3","json":"https://pith.science/pith/AIYWLQSZCXQYDO7I5BMMJMDOQ3.json","graph_json":"https://pith.science/api/pith-number/AIYWLQSZCXQYDO7I5BMMJMDOQ3/graph.json","events_json":"https://pith.science/api/pith-number/AIYWLQSZCXQYDO7I5BMMJMDOQ3/events.json","paper":"https://pith.science/paper/AIYWLQSZ"},"agent_actions":{"view_html":"https://pith.science/pith/AIYWLQSZCXQYDO7I5BMMJMDOQ3","download_json":"https://pith.science/pith/AIYWLQSZCXQYDO7I5BMMJMDOQ3.json","view_paper":"https://pith.science/paper/AIYWLQSZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.00764&json=true","fetch_graph":"https://pith.science/api/pith-number/AIYWLQSZCXQYDO7I5BMMJMDOQ3/graph.json","fetch_events":"https://pith.science/api/pith-number/AIYWLQSZCXQYDO7I5BMMJMDOQ3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AIYWLQSZCXQYDO7I5BMMJMDOQ3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AIYWLQSZCXQYDO7I5BMMJMDOQ3/action/storage_attestation","attest_author":"https://pith.science/pith/AIYWLQSZCXQYDO7I5BMMJMDOQ3/action/author_attestation","sign_citation":"https://pith.science/pith/AIYWLQSZCXQYDO7I5BMMJMDOQ3/action/citation_signature","submit_replication":"https://pith.science/pith/AIYWLQSZCXQYDO7I5BMMJMDOQ3/action/replication_record"}},"created_at":"2026-05-18T01:59:51.266820+00:00","updated_at":"2026-05-18T01:59:51.266820+00:00"}