{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:CN3NYDXTAE6AX4ASWXGLISROWY","short_pith_number":"pith:CN3NYDXT","canonical_record":{"source":{"id":"1701.06176","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-01-22T15:41:57Z","cross_cats_sorted":[],"title_canon_sha256":"e8ea872c8b58316e55946f55149c328acc5f81af558b8ca6cfa4df28ef668470","abstract_canon_sha256":"e850e17c3097ba19ead2e040d86f990b00e9e48cbfb3acca991caf0d0171cb95"},"schema_version":"1.0"},"canonical_sha256":"1376dc0ef3013c0bf012b5ccb44a2eb62e6f9673ac68bb286a5d6d9ad3b26099","source":{"kind":"arxiv","id":"1701.06176","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.06176","created_at":"2026-07-05T08:22:29Z"},{"alias_kind":"arxiv_version","alias_value":"1701.06176v2","created_at":"2026-07-05T08:22:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.06176","created_at":"2026-07-05T08:22:29Z"},{"alias_kind":"pith_short_12","alias_value":"CN3NYDXTAE6A","created_at":"2026-07-05T08:22:29Z"},{"alias_kind":"pith_short_16","alias_value":"CN3NYDXTAE6AX4AS","created_at":"2026-07-05T08:22:29Z"},{"alias_kind":"pith_short_8","alias_value":"CN3NYDXT","created_at":"2026-07-05T08:22:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:CN3NYDXTAE6AX4ASWXGLISROWY","target":"record","payload":{"canonical_record":{"source":{"id":"1701.06176","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-01-22T15:41:57Z","cross_cats_sorted":[],"title_canon_sha256":"e8ea872c8b58316e55946f55149c328acc5f81af558b8ca6cfa4df28ef668470","abstract_canon_sha256":"e850e17c3097ba19ead2e040d86f990b00e9e48cbfb3acca991caf0d0171cb95"},"schema_version":"1.0"},"canonical_sha256":"1376dc0ef3013c0bf012b5ccb44a2eb62e6f9673ac68bb286a5d6d9ad3b26099","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:22:29.088665Z","signature_b64":"dpjQHQSp9JImClKV45Wykyt5fhtsQU7a18+I8wHrZTUjSmWdJZyV/hwBC5tymN7P+3gUGJfvYD0BtH1Zm7hcAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1376dc0ef3013c0bf012b5ccb44a2eb62e6f9673ac68bb286a5d6d9ad3b26099","last_reissued_at":"2026-07-05T08:22:29.088128Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:22:29.088128Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.06176","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:22:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TaOe2b8mUTuEjuhzYIfKFb3JDFLOWMEurVx0dbFbSYVKhE5lbbTiVBZRw+7Cs2WyfYyQ7CD8IYdDNGBysRMhDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T07:07:55.945914Z"},"content_sha256":"a9fbf465204e974f83abb5eff4cec390edae36be7c4052f8eb7a0cdb773ccea7","schema_version":"1.0","event_id":"sha256:a9fbf465204e974f83abb5eff4cec390edae36be7c4052f8eb7a0cdb773ccea7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:CN3NYDXTAE6AX4ASWXGLISROWY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Partially hyperbolic diffeomorphisms with one-dimensional neutral center on 3-manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Jinhua Zhang","submitted_at":"2017-01-22T15:41:57Z","abstract_excerpt":"We prove that for any partially hyperbolic diffeomorphism with one dimensional neutral center on a 3-manifold, the center stable and center unstable foliations are complete; moreover, each leaf of center stable and center unstable foliations is a cylinder, a M$\\ddot{o}$bius band or a plane.\n  Further properties of the Bonatti-Parwani-Potrie type of partially hyperbolic diffeomorphisms are studied. Such examples are obtained by composing the time $m$-map (for $m>0$ large) of a non-transitive Anosov flow $\\phi_t$ on an orientable 3-manifold with Dehn twists along some transverse tori, and the ex"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.06176","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1701.06176/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T08:22:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rhZiRlBuXEv+tu7Oq9fQPBUMNnECt2r16NrPl/eSBbY27xzcOkVARn7ivEHaqLwU/x0ECTwkuY1gWfw440cFAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T07:07:56.028859Z"},"content_sha256":"3f1cf12dab62143cf139ba2b5d6567a081682e1ba811191f45a7979268fb3f8c","schema_version":"1.0","event_id":"sha256:3f1cf12dab62143cf139ba2b5d6567a081682e1ba811191f45a7979268fb3f8c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CN3NYDXTAE6AX4ASWXGLISROWY/bundle.json","state_url":"https://pith.science/pith/CN3NYDXTAE6AX4ASWXGLISROWY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CN3NYDXTAE6AX4ASWXGLISROWY/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":"2026-08-16T07:07:56Z","links":{"resolver":"https://pith.science/pith/CN3NYDXTAE6AX4ASWXGLISROWY","bundle":"https://pith.science/pith/CN3NYDXTAE6AX4ASWXGLISROWY/bundle.json","state":"https://pith.science/pith/CN3NYDXTAE6AX4ASWXGLISROWY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CN3NYDXTAE6AX4ASWXGLISROWY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:CN3NYDXTAE6AX4ASWXGLISROWY","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":"e850e17c3097ba19ead2e040d86f990b00e9e48cbfb3acca991caf0d0171cb95","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-01-22T15:41:57Z","title_canon_sha256":"e8ea872c8b58316e55946f55149c328acc5f81af558b8ca6cfa4df28ef668470"},"schema_version":"1.0","source":{"id":"1701.06176","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.06176","created_at":"2026-07-05T08:22:29Z"},{"alias_kind":"arxiv_version","alias_value":"1701.06176v2","created_at":"2026-07-05T08:22:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.06176","created_at":"2026-07-05T08:22:29Z"},{"alias_kind":"pith_short_12","alias_value":"CN3NYDXTAE6A","created_at":"2026-07-05T08:22:29Z"},{"alias_kind":"pith_short_16","alias_value":"CN3NYDXTAE6AX4AS","created_at":"2026-07-05T08:22:29Z"},{"alias_kind":"pith_short_8","alias_value":"CN3NYDXT","created_at":"2026-07-05T08:22:29Z"}],"graph_snapshots":[{"event_id":"sha256:3f1cf12dab62143cf139ba2b5d6567a081682e1ba811191f45a7979268fb3f8c","target":"graph","created_at":"2026-07-05T08:22:29Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1701.06176/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove that for any partially hyperbolic diffeomorphism with one dimensional neutral center on a 3-manifold, the center stable and center unstable foliations are complete; moreover, each leaf of center stable and center unstable foliations is a cylinder, a M$\\ddot{o}$bius band or a plane.\n  Further properties of the Bonatti-Parwani-Potrie type of partially hyperbolic diffeomorphisms are studied. Such examples are obtained by composing the time $m$-map (for $m>0$ large) of a non-transitive Anosov flow $\\phi_t$ on an orientable 3-manifold with Dehn twists along some transverse tori, and the ex","authors_text":"Jinhua Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-01-22T15:41:57Z","title":"Partially hyperbolic diffeomorphisms with one-dimensional neutral center on 3-manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.06176","kind":"arxiv","version":2},"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:a9fbf465204e974f83abb5eff4cec390edae36be7c4052f8eb7a0cdb773ccea7","target":"record","created_at":"2026-07-05T08:22:29Z","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":"e850e17c3097ba19ead2e040d86f990b00e9e48cbfb3acca991caf0d0171cb95","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-01-22T15:41:57Z","title_canon_sha256":"e8ea872c8b58316e55946f55149c328acc5f81af558b8ca6cfa4df28ef668470"},"schema_version":"1.0","source":{"id":"1701.06176","kind":"arxiv","version":2}},"canonical_sha256":"1376dc0ef3013c0bf012b5ccb44a2eb62e6f9673ac68bb286a5d6d9ad3b26099","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1376dc0ef3013c0bf012b5ccb44a2eb62e6f9673ac68bb286a5d6d9ad3b26099","first_computed_at":"2026-07-05T08:22:29.088128Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:22:29.088128Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dpjQHQSp9JImClKV45Wykyt5fhtsQU7a18+I8wHrZTUjSmWdJZyV/hwBC5tymN7P+3gUGJfvYD0BtH1Zm7hcAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:22:29.088665Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.06176","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a9fbf465204e974f83abb5eff4cec390edae36be7c4052f8eb7a0cdb773ccea7","sha256:3f1cf12dab62143cf139ba2b5d6567a081682e1ba811191f45a7979268fb3f8c"],"state_sha256":"be4018e0fec2f34d9d2beb6593419fb5cf5df1d0bdb7862e7b76e208051f266f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S0Nm5ZMBX5HO4XlMc4lQjnLBJpkryzZCGUARY/RXNWT0cTyMNrYPcZJBBkpuQMLpdD/2gKlqoRlwCsmZJTkPCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T07:07:56.135211Z","bundle_sha256":"a5dd0e279bce29713f90ab3da42aa27f6488dc3b632daa49e049c883280c5e30"}}