{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:I62R4YOCY236S5R4N45DSG7TIN","short_pith_number":"pith:I62R4YOC","schema_version":"1.0","canonical_sha256":"47b51e61c2c6b7e9763c6f3a391bf34362fe9b97e4668b82863d71dc49105c86","source":{"kind":"arxiv","id":"1609.08903","version":2},"attestation_state":"computed","paper":{"title":"A gluing approach for the fractional Yamabe problem with isolated singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Azahara DelaTorre, Juncheng Wei, Maria del Mar Gonzalez, Weiwei Ao","submitted_at":"2016-09-28T13:18:32Z","abstract_excerpt":"We construct solutions for the fractional Yamabe problem that are singular at a prescribed number of isolated points. This seems to be the first time that a gluing method is successfully applied to a non-local problem. The main step is an infinite-dimensional Lyapunov-Schmidt reduction method, that reduces the problem to an (infinite dimensional) Toda type system."},"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":"1609.08903","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-09-28T13:18:32Z","cross_cats_sorted":[],"title_canon_sha256":"00228a61fd7beef8fd3d51e9213c1e859f95ccc8c5feb8d5e914420302df111b","abstract_canon_sha256":"b767b6ba90f649233449ad8238680aed665f6dd04411bf685109a086704fb40e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:06:43.812407Z","signature_b64":"Y5PA/EtAAr38R7QXiIe+fYM12IUjXQqHCfajnWglyMvSHteLiB9osIRC6PbfpDvD6fRP32EI9PoLDSBG+UyOBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"47b51e61c2c6b7e9763c6f3a391bf34362fe9b97e4668b82863d71dc49105c86","last_reissued_at":"2026-05-18T00:06:43.811895Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:06:43.811895Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A gluing approach for the fractional Yamabe problem with isolated singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Azahara DelaTorre, Juncheng Wei, Maria del Mar Gonzalez, Weiwei Ao","submitted_at":"2016-09-28T13:18:32Z","abstract_excerpt":"We construct solutions for the fractional Yamabe problem that are singular at a prescribed number of isolated points. This seems to be the first time that a gluing method is successfully applied to a non-local problem. The main step is an infinite-dimensional Lyapunov-Schmidt reduction method, that reduces the problem to an (infinite dimensional) Toda type system."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.08903","kind":"arxiv","version":2},"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":"1609.08903","created_at":"2026-05-18T00:06:43.811960+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.08903v2","created_at":"2026-05-18T00:06:43.811960+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.08903","created_at":"2026-05-18T00:06:43.811960+00:00"},{"alias_kind":"pith_short_12","alias_value":"I62R4YOCY236","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_16","alias_value":"I62R4YOCY236S5R4","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_8","alias_value":"I62R4YOC","created_at":"2026-05-18T12:30:22.444734+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/I62R4YOCY236S5R4N45DSG7TIN","json":"https://pith.science/pith/I62R4YOCY236S5R4N45DSG7TIN.json","graph_json":"https://pith.science/api/pith-number/I62R4YOCY236S5R4N45DSG7TIN/graph.json","events_json":"https://pith.science/api/pith-number/I62R4YOCY236S5R4N45DSG7TIN/events.json","paper":"https://pith.science/paper/I62R4YOC"},"agent_actions":{"view_html":"https://pith.science/pith/I62R4YOCY236S5R4N45DSG7TIN","download_json":"https://pith.science/pith/I62R4YOCY236S5R4N45DSG7TIN.json","view_paper":"https://pith.science/paper/I62R4YOC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.08903&json=true","fetch_graph":"https://pith.science/api/pith-number/I62R4YOCY236S5R4N45DSG7TIN/graph.json","fetch_events":"https://pith.science/api/pith-number/I62R4YOCY236S5R4N45DSG7TIN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I62R4YOCY236S5R4N45DSG7TIN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I62R4YOCY236S5R4N45DSG7TIN/action/storage_attestation","attest_author":"https://pith.science/pith/I62R4YOCY236S5R4N45DSG7TIN/action/author_attestation","sign_citation":"https://pith.science/pith/I62R4YOCY236S5R4N45DSG7TIN/action/citation_signature","submit_replication":"https://pith.science/pith/I62R4YOCY236S5R4N45DSG7TIN/action/replication_record"}},"created_at":"2026-05-18T00:06:43.811960+00:00","updated_at":"2026-05-18T00:06:43.811960+00:00"}