{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:IOQBSJFVQCY2OCRJQTDCE4NLUW","short_pith_number":"pith:IOQBSJFV","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"},"canonical_sha256":"43a01924b580b1a70a2984c62271aba58886ec6cb64474267fe71a4f44d7c36b","source":{"kind":"arxiv","id":"1003.1903","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.1903","created_at":"2026-05-18T03:10:27Z"},{"alias_kind":"arxiv_version","alias_value":"1003.1903v3","created_at":"2026-05-18T03:10:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.1903","created_at":"2026-05-18T03:10:27Z"},{"alias_kind":"pith_short_12","alias_value":"IOQBSJFVQCY2","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"IOQBSJFVQCY2OCRJ","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"IOQBSJFV","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:IOQBSJFVQCY2OCRJQTDCE4NLUW","target":"record","payload":{"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"},"canonical_sha256":"43a01924b580b1a70a2984c62271aba58886ec6cb64474267fe71a4f44d7c36b","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"},"source_kind":"arxiv","source_id":"1003.1903","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:10:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2so0eZgZkg4rZK+n7MQ6ekc7esqqtHpEG2zAoLOu4vIviYubmppCnD3QS5uvjwcBi5J0K5rZC6puSoenEsAgBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T03:53:30.171348Z"},"content_sha256":"500c18e7c6d6eb3c8cc95c5f9f89952770f84763d80a6f674d4938d3c3f21ed2","schema_version":"1.0","event_id":"sha256:500c18e7c6d6eb3c8cc95c5f9f89952770f84763d80a6f674d4938d3c3f21ed2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:IOQBSJFVQCY2OCRJQTDCE4NLUW","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:10:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yRH4XxeLMWwpKbWPGqMrTxUiHW5tGHdVN81hIwAKedJvStVJh8EXorHNzxtuKBdl+boCRMVkgJbx7ZuKWzunAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T03:53:30.171700Z"},"content_sha256":"1827056af6754743256cdb7ca36ee5e0627f1fed33fb5ac1816c9d98ece6401c","schema_version":"1.0","event_id":"sha256:1827056af6754743256cdb7ca36ee5e0627f1fed33fb5ac1816c9d98ece6401c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IOQBSJFVQCY2OCRJQTDCE4NLUW/bundle.json","state_url":"https://pith.science/pith/IOQBSJFVQCY2OCRJQTDCE4NLUW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IOQBSJFVQCY2OCRJQTDCE4NLUW/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-02T03:53:30Z","links":{"resolver":"https://pith.science/pith/IOQBSJFVQCY2OCRJQTDCE4NLUW","bundle":"https://pith.science/pith/IOQBSJFVQCY2OCRJQTDCE4NLUW/bundle.json","state":"https://pith.science/pith/IOQBSJFVQCY2OCRJQTDCE4NLUW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IOQBSJFVQCY2OCRJQTDCE4NLUW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:IOQBSJFVQCY2OCRJQTDCE4NLUW","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"5abf51109ea4967bd4a4a8e694b694b3bd104701203ded4ae3f7e320592c84b2","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2010-03-09T15:39:40Z","title_canon_sha256":"8a6bcaa43ac8d5cc3c70a9b9a4267c28f28cfb9f3d0c465de76e269a855103c5"},"schema_version":"1.0","source":{"id":"1003.1903","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.1903","created_at":"2026-05-18T03:10:27Z"},{"alias_kind":"arxiv_version","alias_value":"1003.1903v3","created_at":"2026-05-18T03:10:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.1903","created_at":"2026-05-18T03:10:27Z"},{"alias_kind":"pith_short_12","alias_value":"IOQBSJFVQCY2","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"IOQBSJFVQCY2OCRJ","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"IOQBSJFV","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:1827056af6754743256cdb7ca36ee5e0627f1fed33fb5ac1816c9d98ece6401c","target":"graph","created_at":"2026-05-18T03:10:27Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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.","authors_text":"Charles P. Boyer","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2010-03-09T15:39:40Z","title":"Maximal Tori in Contactomorphism Groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.1903","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:500c18e7c6d6eb3c8cc95c5f9f89952770f84763d80a6f674d4938d3c3f21ed2","target":"record","created_at":"2026-05-18T03:10:27Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"5abf51109ea4967bd4a4a8e694b694b3bd104701203ded4ae3f7e320592c84b2","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2010-03-09T15:39:40Z","title_canon_sha256":"8a6bcaa43ac8d5cc3c70a9b9a4267c28f28cfb9f3d0c465de76e269a855103c5"},"schema_version":"1.0","source":{"id":"1003.1903","kind":"arxiv","version":3}},"canonical_sha256":"43a01924b580b1a70a2984c62271aba58886ec6cb64474267fe71a4f44d7c36b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"43a01924b580b1a70a2984c62271aba58886ec6cb64474267fe71a4f44d7c36b","first_computed_at":"2026-05-18T03:10:27.097907Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:10:27.097907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qSvJmMwGpMe5J7wifF7IP7kxm4adYZBxlxN9kHUdOqUKFGV5vnhV+87yMxLgq9BXsrS73B+Ll+gWZDKZOOsbBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:10:27.098575Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.1903","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:500c18e7c6d6eb3c8cc95c5f9f89952770f84763d80a6f674d4938d3c3f21ed2","sha256:1827056af6754743256cdb7ca36ee5e0627f1fed33fb5ac1816c9d98ece6401c"],"state_sha256":"5b4806feaa81fd6373c27fad43257805d25d318ec57f7f529c10743d2f066839"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jH+3JZkSORIdpjZnPVVYtfju82pskC/dLigiex+7zo/x/AOtCTW2F+Ctqz2RW0ldKp18R8ULP+MwkXivIXqWDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T03:53:30.173704Z","bundle_sha256":"956dab7118198064f6595ef923c15117e5c3102603dcfb9da0e58f277ddf7281"}}