{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:YIW55HILJOI3ZSJSBFBR5MFUFR","short_pith_number":"pith:YIW55HIL","canonical_record":{"source":{"id":"math/0308241","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"2003-08-26T09:59:58Z","cross_cats_sorted":[],"title_canon_sha256":"04991f40dd2458d48a1c73991c9ed73a27c1124e9d6591f0d6a44f5adc2b4271","abstract_canon_sha256":"797db6e066cb28abc9c83dd3930cd0c63c6e569accb28241510053fae9bf1e2d"},"schema_version":"1.0"},"canonical_sha256":"c22dde9d0b4b91bcc93209431eb0b42c4d3d497034936546efa0f5a0c98086cc","source":{"kind":"arxiv","id":"math/0308241","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0308241","created_at":"2026-05-17T23:56:49Z"},{"alias_kind":"arxiv_version","alias_value":"math/0308241v3","created_at":"2026-05-17T23:56:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0308241","created_at":"2026-05-17T23:56:49Z"},{"alias_kind":"pith_short_12","alias_value":"YIW55HILJOI3","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"YIW55HILJOI3ZSJS","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"YIW55HIL","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:YIW55HILJOI3ZSJSBFBR5MFUFR","target":"record","payload":{"canonical_record":{"source":{"id":"math/0308241","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"2003-08-26T09:59:58Z","cross_cats_sorted":[],"title_canon_sha256":"04991f40dd2458d48a1c73991c9ed73a27c1124e9d6591f0d6a44f5adc2b4271","abstract_canon_sha256":"797db6e066cb28abc9c83dd3930cd0c63c6e569accb28241510053fae9bf1e2d"},"schema_version":"1.0"},"canonical_sha256":"c22dde9d0b4b91bcc93209431eb0b42c4d3d497034936546efa0f5a0c98086cc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:49.228514Z","signature_b64":"sFi5dSuKlEZPlXRkUFX/lJBZjAvkOtmJj3DjGSK2Phbjv3Ru+5fbP9xWZ5Ghy0xp68edIw/kY7B2XwGXIfM0Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c22dde9d0b4b91bcc93209431eb0b42c4d3d497034936546efa0f5a0c98086cc","last_reissued_at":"2026-05-17T23:56:49.227909Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:49.227909Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0308241","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":"2026-05-17T23:56:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rpHjdvarm65vWSWN5+q+foz0+C6/OGFtF7WR2BS0ZZbKBGin/f0YK1+x71ltRz0S+5NC3hCKsTBPVLba3fGLBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T06:11:28.657709Z"},"content_sha256":"fefa441d4d107948189d0a6a7fc793fb013ba873e6a0449675bcfe16688010ff","schema_version":"1.0","event_id":"sha256:fefa441d4d107948189d0a6a7fc793fb013ba873e6a0449675bcfe16688010ff"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:YIW55HILJOI3ZSJSBFBR5MFUFR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The odd-dimensional Goldberg Conjecture","license":"","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Andrei Moroianu, Tedi Draghici, Vestislav Apostolov","submitted_at":"2003-08-26T09:59:58Z","abstract_excerpt":"An odd-dimensional version of the Goldberg conjecture was formulated and proved by Boyer and Galicki, using an orbifold analogue of Sekigawa's formulas, and an approximation argument of K-contact structures with quasi-regular ones. We provide here another proof of this result and give some applications."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0308241","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":"2026-05-17T23:56:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6wGkAINanm6jE/oMfaeat5jQVsIz87AxuUsS9QQwz4qW1bt6Tp2ZDMmmRTFPu2avF/RF3JNJTtsQ/gJJ2pmOCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T06:11:28.658062Z"},"content_sha256":"c3ff41b08d4155d898c386f03220a51dd7da2dab1abdfddbd1d2054c443af12e","schema_version":"1.0","event_id":"sha256:c3ff41b08d4155d898c386f03220a51dd7da2dab1abdfddbd1d2054c443af12e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YIW55HILJOI3ZSJSBFBR5MFUFR/bundle.json","state_url":"https://pith.science/pith/YIW55HILJOI3ZSJSBFBR5MFUFR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YIW55HILJOI3ZSJSBFBR5MFUFR/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":"2026-05-27T06:11:28Z","links":{"resolver":"https://pith.science/pith/YIW55HILJOI3ZSJSBFBR5MFUFR","bundle":"https://pith.science/pith/YIW55HILJOI3ZSJSBFBR5MFUFR/bundle.json","state":"https://pith.science/pith/YIW55HILJOI3ZSJSBFBR5MFUFR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YIW55HILJOI3ZSJSBFBR5MFUFR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:YIW55HILJOI3ZSJSBFBR5MFUFR","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":"797db6e066cb28abc9c83dd3930cd0c63c6e569accb28241510053fae9bf1e2d","cross_cats_sorted":[],"license":"","primary_cat":"math.DG","submitted_at":"2003-08-26T09:59:58Z","title_canon_sha256":"04991f40dd2458d48a1c73991c9ed73a27c1124e9d6591f0d6a44f5adc2b4271"},"schema_version":"1.0","source":{"id":"math/0308241","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0308241","created_at":"2026-05-17T23:56:49Z"},{"alias_kind":"arxiv_version","alias_value":"math/0308241v3","created_at":"2026-05-17T23:56:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0308241","created_at":"2026-05-17T23:56:49Z"},{"alias_kind":"pith_short_12","alias_value":"YIW55HILJOI3","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"YIW55HILJOI3ZSJS","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"YIW55HIL","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:c3ff41b08d4155d898c386f03220a51dd7da2dab1abdfddbd1d2054c443af12e","target":"graph","created_at":"2026-05-17T23:56:49Z","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":"An odd-dimensional version of the Goldberg conjecture was formulated and proved by Boyer and Galicki, using an orbifold analogue of Sekigawa's formulas, and an approximation argument of K-contact structures with quasi-regular ones. We provide here another proof of this result and give some applications.","authors_text":"Andrei Moroianu, Tedi Draghici, Vestislav Apostolov","cross_cats":[],"headline":"","license":"","primary_cat":"math.DG","submitted_at":"2003-08-26T09:59:58Z","title":"The odd-dimensional Goldberg Conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0308241","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:fefa441d4d107948189d0a6a7fc793fb013ba873e6a0449675bcfe16688010ff","target":"record","created_at":"2026-05-17T23:56:49Z","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":"797db6e066cb28abc9c83dd3930cd0c63c6e569accb28241510053fae9bf1e2d","cross_cats_sorted":[],"license":"","primary_cat":"math.DG","submitted_at":"2003-08-26T09:59:58Z","title_canon_sha256":"04991f40dd2458d48a1c73991c9ed73a27c1124e9d6591f0d6a44f5adc2b4271"},"schema_version":"1.0","source":{"id":"math/0308241","kind":"arxiv","version":3}},"canonical_sha256":"c22dde9d0b4b91bcc93209431eb0b42c4d3d497034936546efa0f5a0c98086cc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c22dde9d0b4b91bcc93209431eb0b42c4d3d497034936546efa0f5a0c98086cc","first_computed_at":"2026-05-17T23:56:49.227909Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:49.227909Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sFi5dSuKlEZPlXRkUFX/lJBZjAvkOtmJj3DjGSK2Phbjv3Ru+5fbP9xWZ5Ghy0xp68edIw/kY7B2XwGXIfM0Bg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:49.228514Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0308241","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fefa441d4d107948189d0a6a7fc793fb013ba873e6a0449675bcfe16688010ff","sha256:c3ff41b08d4155d898c386f03220a51dd7da2dab1abdfddbd1d2054c443af12e"],"state_sha256":"2b2d2d85e496b57956f680fd2bf5235561b5535e0827fbff3cbed5a098bb9304"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AgrNXaI4XpyOUT2GMOMtjWVIJTxtF5O4EHwxzxjyEqMEJN0D4jOqKD5y2u3yCYY6S0Ydj49GGAB0npYkhy6NCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T06:11:28.661933Z","bundle_sha256":"43ebd766904ec8e5da4d0043637abd37b7a364ff65bf8ca486873cf8c44af576"}}