{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:IOQBSJFVQCY2OCRJQTDCE4NLUW","short_pith_number":"pith:IOQBSJFV","schema_version":"1.0","canonical_sha256":"43a01924b580b1a70a2984c62271aba58886ec6cb64474267fe71a4f44d7c36b","source":{"kind":"arxiv","id":"1003.1903","version":3},"attestation_state":"computed","paper":{"title":"Maximal Tori in Contactomorphism Groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.SG","authors_text":"Charles P. Boyer","submitted_at":"2010-03-09T15:39:40Z","abstract_excerpt":"I describe a general scheme which associates conjugacy classes of tori in the contactomorphism group to transverse almost complex structures on a compact contact manifold. Moreover, to tori of Reeb type whose Lie algebra contains a Reeb vector field one can associate a Sasaki cone. Thus, for contact structures of K-contact type one obtains a configuration of Sasaki cones called a bouquet such that each Sasaki cone is associated with a conjugacy class of tori of Reeb type."},"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":"1003.1903","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2010-03-09T15:39:40Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"8a6bcaa43ac8d5cc3c70a9b9a4267c28f28cfb9f3d0c465de76e269a855103c5","abstract_canon_sha256":"5abf51109ea4967bd4a4a8e694b694b3bd104701203ded4ae3f7e320592c84b2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:10:27.098575Z","signature_b64":"qSvJmMwGpMe5J7wifF7IP7kxm4adYZBxlxN9kHUdOqUKFGV5vnhV+87yMxLgq9BXsrS73B+Ll+gWZDKZOOsbBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"43a01924b580b1a70a2984c62271aba58886ec6cb64474267fe71a4f44d7c36b","last_reissued_at":"2026-05-18T03:10:27.097907Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:10:27.097907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Maximal Tori in Contactomorphism Groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.SG","authors_text":"Charles P. Boyer","submitted_at":"2010-03-09T15:39:40Z","abstract_excerpt":"I describe a general scheme which associates conjugacy classes of tori in the contactomorphism group to transverse almost complex structures on a compact contact manifold. Moreover, to tori of Reeb type whose Lie algebra contains a Reeb vector field one can associate a Sasaki cone. Thus, for contact structures of K-contact type one obtains a configuration of Sasaki cones called a bouquet such that each Sasaki cone is associated with a conjugacy class of tori of Reeb type."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.1903","kind":"arxiv","version":3},"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":"1003.1903","created_at":"2026-05-18T03:10:27.097991+00:00"},{"alias_kind":"arxiv_version","alias_value":"1003.1903v3","created_at":"2026-05-18T03:10:27.097991+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.1903","created_at":"2026-05-18T03:10:27.097991+00:00"},{"alias_kind":"pith_short_12","alias_value":"IOQBSJFVQCY2","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_16","alias_value":"IOQBSJFVQCY2OCRJ","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_8","alias_value":"IOQBSJFV","created_at":"2026-05-18T12:26:09.077623+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/IOQBSJFVQCY2OCRJQTDCE4NLUW","json":"https://pith.science/pith/IOQBSJFVQCY2OCRJQTDCE4NLUW.json","graph_json":"https://pith.science/api/pith-number/IOQBSJFVQCY2OCRJQTDCE4NLUW/graph.json","events_json":"https://pith.science/api/pith-number/IOQBSJFVQCY2OCRJQTDCE4NLUW/events.json","paper":"https://pith.science/paper/IOQBSJFV"},"agent_actions":{"view_html":"https://pith.science/pith/IOQBSJFVQCY2OCRJQTDCE4NLUW","download_json":"https://pith.science/pith/IOQBSJFVQCY2OCRJQTDCE4NLUW.json","view_paper":"https://pith.science/paper/IOQBSJFV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1003.1903&json=true","fetch_graph":"https://pith.science/api/pith-number/IOQBSJFVQCY2OCRJQTDCE4NLUW/graph.json","fetch_events":"https://pith.science/api/pith-number/IOQBSJFVQCY2OCRJQTDCE4NLUW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IOQBSJFVQCY2OCRJQTDCE4NLUW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IOQBSJFVQCY2OCRJQTDCE4NLUW/action/storage_attestation","attest_author":"https://pith.science/pith/IOQBSJFVQCY2OCRJQTDCE4NLUW/action/author_attestation","sign_citation":"https://pith.science/pith/IOQBSJFVQCY2OCRJQTDCE4NLUW/action/citation_signature","submit_replication":"https://pith.science/pith/IOQBSJFVQCY2OCRJQTDCE4NLUW/action/replication_record"}},"created_at":"2026-05-18T03:10:27.097991+00:00","updated_at":"2026-05-18T03:10:27.097991+00:00"}