{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:YHE4QEMFFKAYB2V5LPSGTXSQAW","short_pith_number":"pith:YHE4QEMF","schema_version":"1.0","canonical_sha256":"c1c9c811852a8180eabd5be469de500585a8b1790c5414ebe53827db12a2a371","source":{"kind":"arxiv","id":"1410.0659","version":2},"attestation_state":"computed","paper":{"title":"On spherical CR uniformization of 3-manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.GT","authors_text":"Martin Deraux (IF)","submitted_at":"2014-10-02T19:37:39Z","abstract_excerpt":"We consider the discrete representations of 3-manifold groups into $PU(2,1)$ that appear in the Falbel-Koseleff-Rouillier census, such that the peripheral subgroups have cyclic unipotent holonomy. We show that two of these representations have conjugate images, even though they represent different 3-manifold groups. This illustrates the fact that a discrete representation $\\pi_1(M)\\rightarrow PU(2,1)$ with cyclic unipotent boundary holonomy is not in general the holonomy of a spherical CR uniformization of $M$."},"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":"1410.0659","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-10-02T19:37:39Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"7f1f295bcb1d0c765d02ee579dbddcb69ce60886656c290d57b0ceea8080c752","abstract_canon_sha256":"89740122b68cdaf082aba4e1a0a66c5dc8273bfe2ea1fe2227ab0fbe289cb964"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:30:07.866205Z","signature_b64":"Z7ZhtLmaQ9cfhwhgIsxkFzWaWv5CuwwJROy4HiTIESen5Gau6UxUcAXyelBJj8D5YM4iE4ZbLyLKmZtB3pvHBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c1c9c811852a8180eabd5be469de500585a8b1790c5414ebe53827db12a2a371","last_reissued_at":"2026-05-18T02:30:07.865765Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:30:07.865765Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On spherical CR uniformization of 3-manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.GT","authors_text":"Martin Deraux (IF)","submitted_at":"2014-10-02T19:37:39Z","abstract_excerpt":"We consider the discrete representations of 3-manifold groups into $PU(2,1)$ that appear in the Falbel-Koseleff-Rouillier census, such that the peripheral subgroups have cyclic unipotent holonomy. We show that two of these representations have conjugate images, even though they represent different 3-manifold groups. This illustrates the fact that a discrete representation $\\pi_1(M)\\rightarrow PU(2,1)$ with cyclic unipotent boundary holonomy is not in general the holonomy of a spherical CR uniformization of $M$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.0659","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":"1410.0659","created_at":"2026-05-18T02:30:07.865836+00:00"},{"alias_kind":"arxiv_version","alias_value":"1410.0659v2","created_at":"2026-05-18T02:30:07.865836+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.0659","created_at":"2026-05-18T02:30:07.865836+00:00"},{"alias_kind":"pith_short_12","alias_value":"YHE4QEMFFKAY","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_16","alias_value":"YHE4QEMFFKAYB2V5","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_8","alias_value":"YHE4QEMF","created_at":"2026-05-18T12:28:57.508820+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/YHE4QEMFFKAYB2V5LPSGTXSQAW","json":"https://pith.science/pith/YHE4QEMFFKAYB2V5LPSGTXSQAW.json","graph_json":"https://pith.science/api/pith-number/YHE4QEMFFKAYB2V5LPSGTXSQAW/graph.json","events_json":"https://pith.science/api/pith-number/YHE4QEMFFKAYB2V5LPSGTXSQAW/events.json","paper":"https://pith.science/paper/YHE4QEMF"},"agent_actions":{"view_html":"https://pith.science/pith/YHE4QEMFFKAYB2V5LPSGTXSQAW","download_json":"https://pith.science/pith/YHE4QEMFFKAYB2V5LPSGTXSQAW.json","view_paper":"https://pith.science/paper/YHE4QEMF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1410.0659&json=true","fetch_graph":"https://pith.science/api/pith-number/YHE4QEMFFKAYB2V5LPSGTXSQAW/graph.json","fetch_events":"https://pith.science/api/pith-number/YHE4QEMFFKAYB2V5LPSGTXSQAW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YHE4QEMFFKAYB2V5LPSGTXSQAW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YHE4QEMFFKAYB2V5LPSGTXSQAW/action/storage_attestation","attest_author":"https://pith.science/pith/YHE4QEMFFKAYB2V5LPSGTXSQAW/action/author_attestation","sign_citation":"https://pith.science/pith/YHE4QEMFFKAYB2V5LPSGTXSQAW/action/citation_signature","submit_replication":"https://pith.science/pith/YHE4QEMFFKAYB2V5LPSGTXSQAW/action/replication_record"}},"created_at":"2026-05-18T02:30:07.865836+00:00","updated_at":"2026-05-18T02:30:07.865836+00:00"}