{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:SG55MHM3U2YL6BVJWHTHPEE3G6","short_pith_number":"pith:SG55MHM3","schema_version":"1.0","canonical_sha256":"91bbd61d9ba6b0bf06a9b1e677909b3793546a7466101f4a60dbdd0e8f1b7789","source":{"kind":"arxiv","id":"1201.2923","version":1},"attestation_state":"computed","paper":{"title":"Deformations of Hyperbolic Cone-Structures: Study of the Collapsing case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Alexandre Paiva Barreto","submitted_at":"2012-01-13T19:34:20Z","abstract_excerpt":"This work is devoted to the study of deformations of hyperbolic cone structures under the assumption that the lengths of the singularity remain uniformly bounded over the deformation. Given a sequence $(M_{i}%, p_{i}) $ of pointed hyperbolic cone-manifolds with topological type $(M,\\Sigma) $, where $M$ is a closed, orientable and irreducible 3-manifold and $\\Sigma$ an embedded link in $M$. If the sequence $M_{i}$ collapses and assuming that the lengths of the singularity remain uniformly bounded, we prove that $M$ is either a Seifert fibered or a $Sol$ manifold. We apply this result to a quest"},"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":"1201.2923","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-01-13T19:34:20Z","cross_cats_sorted":[],"title_canon_sha256":"bfd6bacfcf658b272f28d85a97316f515b010a73b80b87594e3d1707ff03b07a","abstract_canon_sha256":"7c47f19ec47fca3576aba9da71d121740f13b95e63d77030dd6929ea41a4c21f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:04:42.909089Z","signature_b64":"pY5LYbcC/B3wHyJ8jbehpyJ0PdXd1Wdn5l6tVgwNL8V6BfIr+wBGOq7HjqFaKOyInDSyHOA23L8ovOHOzF2wBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"91bbd61d9ba6b0bf06a9b1e677909b3793546a7466101f4a60dbdd0e8f1b7789","last_reissued_at":"2026-05-18T04:04:42.908662Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:04:42.908662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Deformations of Hyperbolic Cone-Structures: Study of the Collapsing case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Alexandre Paiva Barreto","submitted_at":"2012-01-13T19:34:20Z","abstract_excerpt":"This work is devoted to the study of deformations of hyperbolic cone structures under the assumption that the lengths of the singularity remain uniformly bounded over the deformation. Given a sequence $(M_{i}%, p_{i}) $ of pointed hyperbolic cone-manifolds with topological type $(M,\\Sigma) $, where $M$ is a closed, orientable and irreducible 3-manifold and $\\Sigma$ an embedded link in $M$. If the sequence $M_{i}$ collapses and assuming that the lengths of the singularity remain uniformly bounded, we prove that $M$ is either a Seifert fibered or a $Sol$ manifold. We apply this result to a quest"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.2923","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":"1201.2923","created_at":"2026-05-18T04:04:42.908719+00:00"},{"alias_kind":"arxiv_version","alias_value":"1201.2923v1","created_at":"2026-05-18T04:04:42.908719+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.2923","created_at":"2026-05-18T04:04:42.908719+00:00"},{"alias_kind":"pith_short_12","alias_value":"SG55MHM3U2YL","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_16","alias_value":"SG55MHM3U2YL6BVJ","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_8","alias_value":"SG55MHM3","created_at":"2026-05-18T12:27:20.899486+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/SG55MHM3U2YL6BVJWHTHPEE3G6","json":"https://pith.science/pith/SG55MHM3U2YL6BVJWHTHPEE3G6.json","graph_json":"https://pith.science/api/pith-number/SG55MHM3U2YL6BVJWHTHPEE3G6/graph.json","events_json":"https://pith.science/api/pith-number/SG55MHM3U2YL6BVJWHTHPEE3G6/events.json","paper":"https://pith.science/paper/SG55MHM3"},"agent_actions":{"view_html":"https://pith.science/pith/SG55MHM3U2YL6BVJWHTHPEE3G6","download_json":"https://pith.science/pith/SG55MHM3U2YL6BVJWHTHPEE3G6.json","view_paper":"https://pith.science/paper/SG55MHM3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1201.2923&json=true","fetch_graph":"https://pith.science/api/pith-number/SG55MHM3U2YL6BVJWHTHPEE3G6/graph.json","fetch_events":"https://pith.science/api/pith-number/SG55MHM3U2YL6BVJWHTHPEE3G6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SG55MHM3U2YL6BVJWHTHPEE3G6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SG55MHM3U2YL6BVJWHTHPEE3G6/action/storage_attestation","attest_author":"https://pith.science/pith/SG55MHM3U2YL6BVJWHTHPEE3G6/action/author_attestation","sign_citation":"https://pith.science/pith/SG55MHM3U2YL6BVJWHTHPEE3G6/action/citation_signature","submit_replication":"https://pith.science/pith/SG55MHM3U2YL6BVJWHTHPEE3G6/action/replication_record"}},"created_at":"2026-05-18T04:04:42.908719+00:00","updated_at":"2026-05-18T04:04:42.908719+00:00"}