{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:I4LO34J2V4BWQLGBJKGZ4QSQMF","short_pith_number":"pith:I4LO34J2","canonical_record":{"source":{"id":"0912.5314","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-12-29T14:39:17Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"4e0b0ff08f42e2a61c17f46827427b4da8a105bcd5c37d26a6ffec1969e3757f","abstract_canon_sha256":"1eb3e9229fc0850bf91ceff389a2be7bdaa85d1435a4a2b692387fa3b50bb008"},"schema_version":"1.0"},"canonical_sha256":"4716edf13aaf03682cc14a8d9e4250616905136900228ebf8f67026e6d9c7fd0","source":{"kind":"arxiv","id":"0912.5314","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.5314","created_at":"2026-05-18T02:58:02Z"},{"alias_kind":"arxiv_version","alias_value":"0912.5314v1","created_at":"2026-05-18T02:58:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.5314","created_at":"2026-05-18T02:58:02Z"},{"alias_kind":"pith_short_12","alias_value":"I4LO34J2V4BW","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"I4LO34J2V4BWQLGB","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"I4LO34J2","created_at":"2026-05-18T12:25:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:I4LO34J2V4BWQLGBJKGZ4QSQMF","target":"record","payload":{"canonical_record":{"source":{"id":"0912.5314","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-12-29T14:39:17Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"4e0b0ff08f42e2a61c17f46827427b4da8a105bcd5c37d26a6ffec1969e3757f","abstract_canon_sha256":"1eb3e9229fc0850bf91ceff389a2be7bdaa85d1435a4a2b692387fa3b50bb008"},"schema_version":"1.0"},"canonical_sha256":"4716edf13aaf03682cc14a8d9e4250616905136900228ebf8f67026e6d9c7fd0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:02.511340Z","signature_b64":"xOFxUPrQHFXPX8w2D2gi6IkLqM3iJZRy+rTg0gWOiZgSBRIzyVb5gDcZ0Ilh6Z/XlXZxZPl3G0OublOFNUhoAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4716edf13aaf03682cc14a8d9e4250616905136900228ebf8f67026e6d9c7fd0","last_reissued_at":"2026-05-18T02:58:02.510683Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:02.510683Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0912.5314","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:58:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"70jbsyZROwBuZtfUSW5oB6VmaqEVUvD2wgaytU3M4DfyUAHSF8KzzE9uYjInPVKrFnpSb+9krNrd0BEmmuJQDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T06:54:33.744840Z"},"content_sha256":"612fea0e74b37b82ac5c6810319b08c72b6c57f0d810e15e1d37bef56345eade","schema_version":"1.0","event_id":"sha256:612fea0e74b37b82ac5c6810319b08c72b6c57f0d810e15e1d37bef56345eade"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:I4LO34J2V4BWQLGBJKGZ4QSQMF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized Contact Structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.DG","authors_text":"Aissa Wade, Yat Sun Poon","submitted_at":"2009-12-29T14:39:17Z","abstract_excerpt":"We study integrability of generalized almost contact structures, and find conditions under which the main associated maximal isotropic vector bundles form Lie bialgebroids. These conditions differentiate the concept of generalized contact structures from a counterpart of generalized complex structures on odd-dimensional manifolds. We name the latter strong generalized contact structures. Using a Boothby-Wang construction bridging symplectic structures and contact structures, we find examples to demonstrate that, within the category of generalized contact structures, classical contact structure"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.5314","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:58:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lr7G9WdSjC6YW9ymSgBNgGH7oTxaVL/dm/xX68Zf7djTTqeo2lg7KkmZU8t26Iq4HyLiOhmXAQXyOyNLB5yKDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T06:54:33.745180Z"},"content_sha256":"8d4cb9603715898d7b1be573d558c09dd805d61a13d5f4d3fb0c9878d18a7392","schema_version":"1.0","event_id":"sha256:8d4cb9603715898d7b1be573d558c09dd805d61a13d5f4d3fb0c9878d18a7392"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I4LO34J2V4BWQLGBJKGZ4QSQMF/bundle.json","state_url":"https://pith.science/pith/I4LO34J2V4BWQLGBJKGZ4QSQMF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I4LO34J2V4BWQLGBJKGZ4QSQMF/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":"2026-06-03T06:54:33Z","links":{"resolver":"https://pith.science/pith/I4LO34J2V4BWQLGBJKGZ4QSQMF","bundle":"https://pith.science/pith/I4LO34J2V4BWQLGBJKGZ4QSQMF/bundle.json","state":"https://pith.science/pith/I4LO34J2V4BWQLGBJKGZ4QSQMF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I4LO34J2V4BWQLGBJKGZ4QSQMF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:I4LO34J2V4BWQLGBJKGZ4QSQMF","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":"1eb3e9229fc0850bf91ceff389a2be7bdaa85d1435a4a2b692387fa3b50bb008","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-12-29T14:39:17Z","title_canon_sha256":"4e0b0ff08f42e2a61c17f46827427b4da8a105bcd5c37d26a6ffec1969e3757f"},"schema_version":"1.0","source":{"id":"0912.5314","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.5314","created_at":"2026-05-18T02:58:02Z"},{"alias_kind":"arxiv_version","alias_value":"0912.5314v1","created_at":"2026-05-18T02:58:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.5314","created_at":"2026-05-18T02:58:02Z"},{"alias_kind":"pith_short_12","alias_value":"I4LO34J2V4BW","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"I4LO34J2V4BWQLGB","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"I4LO34J2","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:8d4cb9603715898d7b1be573d558c09dd805d61a13d5f4d3fb0c9878d18a7392","target":"graph","created_at":"2026-05-18T02:58:02Z","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":"We study integrability of generalized almost contact structures, and find conditions under which the main associated maximal isotropic vector bundles form Lie bialgebroids. These conditions differentiate the concept of generalized contact structures from a counterpart of generalized complex structures on odd-dimensional manifolds. We name the latter strong generalized contact structures. Using a Boothby-Wang construction bridging symplectic structures and contact structures, we find examples to demonstrate that, within the category of generalized contact structures, classical contact structure","authors_text":"Aissa Wade, Yat Sun Poon","cross_cats":["math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-12-29T14:39:17Z","title":"Generalized Contact Structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.5314","kind":"arxiv","version":1},"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":"sha256:612fea0e74b37b82ac5c6810319b08c72b6c57f0d810e15e1d37bef56345eade","target":"record","created_at":"2026-05-18T02:58:02Z","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":"1eb3e9229fc0850bf91ceff389a2be7bdaa85d1435a4a2b692387fa3b50bb008","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-12-29T14:39:17Z","title_canon_sha256":"4e0b0ff08f42e2a61c17f46827427b4da8a105bcd5c37d26a6ffec1969e3757f"},"schema_version":"1.0","source":{"id":"0912.5314","kind":"arxiv","version":1}},"canonical_sha256":"4716edf13aaf03682cc14a8d9e4250616905136900228ebf8f67026e6d9c7fd0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4716edf13aaf03682cc14a8d9e4250616905136900228ebf8f67026e6d9c7fd0","first_computed_at":"2026-05-18T02:58:02.510683Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:02.510683Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xOFxUPrQHFXPX8w2D2gi6IkLqM3iJZRy+rTg0gWOiZgSBRIzyVb5gDcZ0Ilh6Z/XlXZxZPl3G0OublOFNUhoAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:02.511340Z","signed_message":"canonical_sha256_bytes"},"source_id":"0912.5314","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:612fea0e74b37b82ac5c6810319b08c72b6c57f0d810e15e1d37bef56345eade","sha256:8d4cb9603715898d7b1be573d558c09dd805d61a13d5f4d3fb0c9878d18a7392"],"state_sha256":"66ed8273c2b190e1866c3fa37194c3a733c34104fbc771fde26b4645569f9853"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wxii65sYibgUfSkf7oHMMeMqgNFirZgBh3deEcS3fOlYm7cYEl+FyH4071FulHMEWCRFBQ75kS5vaJZGlWr4Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T06:54:33.747114Z","bundle_sha256":"063516ca57fe3af92bea16e4300ce4219c4b5e810e049ad7aaac5513afab03dd"}}