{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:K4LRYE7O53OR2YE5NDZRFBGYUN","short_pith_number":"pith:K4LRYE7O","canonical_record":{"source":{"id":"0907.3415","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-07-20T14:53:13Z","cross_cats_sorted":[],"title_canon_sha256":"d9555b0c589872dd08c8f160711f46753f865a3ca5b62b79f060a397555e5241","abstract_canon_sha256":"38fb371a3f1867d0b4144ef63c6c1a82d360d275ba00a1919536d3aeb36f07da"},"schema_version":"1.0"},"canonical_sha256":"57171c13eeeedd1d609d68f31284d8a37231c952959ca663699ce9b340ff3773","source":{"kind":"arxiv","id":"0907.3415","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.3415","created_at":"2026-05-18T02:12:55Z"},{"alias_kind":"arxiv_version","alias_value":"0907.3415v1","created_at":"2026-05-18T02:12:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.3415","created_at":"2026-05-18T02:12:55Z"},{"alias_kind":"pith_short_12","alias_value":"K4LRYE7O53OR","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"K4LRYE7O53OR2YE5","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"K4LRYE7O","created_at":"2026-05-18T12:26:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:K4LRYE7O53OR2YE5NDZRFBGYUN","target":"record","payload":{"canonical_record":{"source":{"id":"0907.3415","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-07-20T14:53:13Z","cross_cats_sorted":[],"title_canon_sha256":"d9555b0c589872dd08c8f160711f46753f865a3ca5b62b79f060a397555e5241","abstract_canon_sha256":"38fb371a3f1867d0b4144ef63c6c1a82d360d275ba00a1919536d3aeb36f07da"},"schema_version":"1.0"},"canonical_sha256":"57171c13eeeedd1d609d68f31284d8a37231c952959ca663699ce9b340ff3773","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:12:55.550800Z","signature_b64":"R7EIW2emvzFpNsgEF/4jmC3d5l67GPKYIH9nu8pW7zOY35YYCQhWw73CasYQ6CvXTj+vRNL1Rd1SqDOSZJQoDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"57171c13eeeedd1d609d68f31284d8a37231c952959ca663699ce9b340ff3773","last_reissued_at":"2026-05-18T02:12:55.550105Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:12:55.550105Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0907.3415","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":"2026-05-18T02:12:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N4OBxYVrnSHBjFL2jdxxCeHkqPXJusEFLM3bb21J74ngskbwtklXD7b5jbopsdg5FBAMJZ6Xeww5Nv+r8qTxDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T11:16:44.939653Z"},"content_sha256":"008ed1b28b86119bb98d0d4675f8a176099530ae30c8b483704a29cc690729d4","schema_version":"1.0","event_id":"sha256:008ed1b28b86119bb98d0d4675f8a176099530ae30c8b483704a29cc690729d4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:K4LRYE7O53OR2YE5NDZRFBGYUN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"6-dimensional nearly Kaehler manifolds of cohomogeneity one","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Andrea Spiro, Fabio Podesta'","submitted_at":"2009-07-20T14:53:13Z","abstract_excerpt":"We consider 6-dimensional strict nearly Kaehler manifolds acted on by a compact, cohomogeneity one automorphism group G. We classify the compact manifolds of this class up to G-diffeomorphisms. We also prove that the manifold has constant sectional curvature whenever the group G is simple."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.3415","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":"2026-05-18T02:12:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LSVu/VioUGLeqLx9wu57MWOAhHLxtwQFrJmcJih1P/8T6igFWST6ZJzwckU/A57U0XL/x1/dSzi4PqwjUa1vBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T11:16:44.939998Z"},"content_sha256":"c95b9c120f9d8e7346ea68807da0a407d22453a7130ae51569f791f5bcc6da68","schema_version":"1.0","event_id":"sha256:c95b9c120f9d8e7346ea68807da0a407d22453a7130ae51569f791f5bcc6da68"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K4LRYE7O53OR2YE5NDZRFBGYUN/bundle.json","state_url":"https://pith.science/pith/K4LRYE7O53OR2YE5NDZRFBGYUN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K4LRYE7O53OR2YE5NDZRFBGYUN/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":"2026-06-21T11:16:44Z","links":{"resolver":"https://pith.science/pith/K4LRYE7O53OR2YE5NDZRFBGYUN","bundle":"https://pith.science/pith/K4LRYE7O53OR2YE5NDZRFBGYUN/bundle.json","state":"https://pith.science/pith/K4LRYE7O53OR2YE5NDZRFBGYUN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K4LRYE7O53OR2YE5NDZRFBGYUN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:K4LRYE7O53OR2YE5NDZRFBGYUN","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":"38fb371a3f1867d0b4144ef63c6c1a82d360d275ba00a1919536d3aeb36f07da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-07-20T14:53:13Z","title_canon_sha256":"d9555b0c589872dd08c8f160711f46753f865a3ca5b62b79f060a397555e5241"},"schema_version":"1.0","source":{"id":"0907.3415","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.3415","created_at":"2026-05-18T02:12:55Z"},{"alias_kind":"arxiv_version","alias_value":"0907.3415v1","created_at":"2026-05-18T02:12:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.3415","created_at":"2026-05-18T02:12:55Z"},{"alias_kind":"pith_short_12","alias_value":"K4LRYE7O53OR","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"K4LRYE7O53OR2YE5","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"K4LRYE7O","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:c95b9c120f9d8e7346ea68807da0a407d22453a7130ae51569f791f5bcc6da68","target":"graph","created_at":"2026-05-18T02:12:55Z","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 consider 6-dimensional strict nearly Kaehler manifolds acted on by a compact, cohomogeneity one automorphism group G. We classify the compact manifolds of this class up to G-diffeomorphisms. We also prove that the manifold has constant sectional curvature whenever the group G is simple.","authors_text":"Andrea Spiro, Fabio Podesta'","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-07-20T14:53:13Z","title":"6-dimensional nearly Kaehler manifolds of cohomogeneity one"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.3415","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":"sha256:008ed1b28b86119bb98d0d4675f8a176099530ae30c8b483704a29cc690729d4","target":"record","created_at":"2026-05-18T02:12:55Z","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":"38fb371a3f1867d0b4144ef63c6c1a82d360d275ba00a1919536d3aeb36f07da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-07-20T14:53:13Z","title_canon_sha256":"d9555b0c589872dd08c8f160711f46753f865a3ca5b62b79f060a397555e5241"},"schema_version":"1.0","source":{"id":"0907.3415","kind":"arxiv","version":1}},"canonical_sha256":"57171c13eeeedd1d609d68f31284d8a37231c952959ca663699ce9b340ff3773","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"57171c13eeeedd1d609d68f31284d8a37231c952959ca663699ce9b340ff3773","first_computed_at":"2026-05-18T02:12:55.550105Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:12:55.550105Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R7EIW2emvzFpNsgEF/4jmC3d5l67GPKYIH9nu8pW7zOY35YYCQhWw73CasYQ6CvXTj+vRNL1Rd1SqDOSZJQoDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:12:55.550800Z","signed_message":"canonical_sha256_bytes"},"source_id":"0907.3415","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:008ed1b28b86119bb98d0d4675f8a176099530ae30c8b483704a29cc690729d4","sha256:c95b9c120f9d8e7346ea68807da0a407d22453a7130ae51569f791f5bcc6da68"],"state_sha256":"ed2b67a8e09827ac0d2d90f43916f596d373d24744aba12924e18ca83bdca9b8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7uzU8nwPPuserRGmZZVAgdPOV/KLkPYXKV4SUWmWL/JY2ADFz2MyeJGMv7z/NWtNg5sFIiQFzbnojbrpdqIeBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T11:16:44.941884Z","bundle_sha256":"50272a7a7e014b04d726394f64fee3f02730ffb698499da329a21f018a4e514d"}}