{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:YOYMNEXKFF27DIXY5QJ2VWSMLQ","short_pith_number":"pith:YOYMNEXK","canonical_record":{"source":{"id":"1311.3270","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-11-13T19:46:54Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"f1c6a7ca05ea2fcb18deb613b495b9788f6ccc89c6571c942b29381e0c0a15e3","abstract_canon_sha256":"702882072bfefaea1a8fa8b50ca87962c2a10f21ccbe70c21d59d3c0a4656b1b"},"schema_version":"1.0"},"canonical_sha256":"c3b0c692ea2975f1a2f8ec13aada4c5c33d1ecfd6ec9712d5708f0d3bde43997","source":{"kind":"arxiv","id":"1311.3270","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.3270","created_at":"2026-05-18T02:39:32Z"},{"alias_kind":"arxiv_version","alias_value":"1311.3270v2","created_at":"2026-05-18T02:39:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.3270","created_at":"2026-05-18T02:39:32Z"},{"alias_kind":"pith_short_12","alias_value":"YOYMNEXKFF27","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"YOYMNEXKFF27DIXY","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"YOYMNEXK","created_at":"2026-05-18T12:28:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:YOYMNEXKFF27DIXY5QJ2VWSMLQ","target":"record","payload":{"canonical_record":{"source":{"id":"1311.3270","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-11-13T19:46:54Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"f1c6a7ca05ea2fcb18deb613b495b9788f6ccc89c6571c942b29381e0c0a15e3","abstract_canon_sha256":"702882072bfefaea1a8fa8b50ca87962c2a10f21ccbe70c21d59d3c0a4656b1b"},"schema_version":"1.0"},"canonical_sha256":"c3b0c692ea2975f1a2f8ec13aada4c5c33d1ecfd6ec9712d5708f0d3bde43997","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:32.118517Z","signature_b64":"yHvGcCS6j6lq4v20z08U8qKDCNugVD7DYC34+a/8NT0oXmsQOF/cZadbINYpUEGV24UWulP6gdPQI42xPAcCBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c3b0c692ea2975f1a2f8ec13aada4c5c33d1ecfd6ec9712d5708f0d3bde43997","last_reissued_at":"2026-05-18T02:39:32.118036Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:32.118036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.3270","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":"2026-05-18T02:39:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WsFiRgUlVkpL4JuhNAJ00x1Agm1LxeIN+LcOliSYQuanChLmQYgPpsxcJh4HsB/Pvbf8jmdZOzGiB7ZFhw60Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T19:53:17.760408Z"},"content_sha256":"1bd25303a0c3c6dd642091694808b0c8ccb459a02895799fe0fbd72102b335d9","schema_version":"1.0","event_id":"sha256:1bd25303a0c3c6dd642091694808b0c8ccb459a02895799fe0fbd72102b335d9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:YOYMNEXKFF27DIXY5QJ2VWSMLQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Examples of compact K-contact manifolds with no Sasakian metric","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.DG","authors_text":"Antonio De Nicola, Beniamino Cappelletti-Montano, Ivan Yudin, Juan Carlos Marrero","submitted_at":"2013-11-13T19:46:54Z","abstract_excerpt":"Using the Hard Lefschetz Theorem for Sasakian manifolds, we find two examples of compact K-contact nilmanifolds with no compatible Sasakian metric in dimensions five and seven, respectively"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.3270","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":""},"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":"2026-05-18T02:39:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fWPMYuB9dXctOWYkiMFQV3DlFJIDMXGA4jW7lqVVSEYrlwWB5UnQjohSF6NNwoS7Xserj0bC9oTRm4INFM1MAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T19:53:17.761102Z"},"content_sha256":"cbc449b1fc6d94b2ec25bf89594c4bd48de21d201f73a2e0cd3932e6fc7f230f","schema_version":"1.0","event_id":"sha256:cbc449b1fc6d94b2ec25bf89594c4bd48de21d201f73a2e0cd3932e6fc7f230f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YOYMNEXKFF27DIXY5QJ2VWSMLQ/bundle.json","state_url":"https://pith.science/pith/YOYMNEXKFF27DIXY5QJ2VWSMLQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YOYMNEXKFF27DIXY5QJ2VWSMLQ/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":"2026-05-28T19:53:17Z","links":{"resolver":"https://pith.science/pith/YOYMNEXKFF27DIXY5QJ2VWSMLQ","bundle":"https://pith.science/pith/YOYMNEXKFF27DIXY5QJ2VWSMLQ/bundle.json","state":"https://pith.science/pith/YOYMNEXKFF27DIXY5QJ2VWSMLQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YOYMNEXKFF27DIXY5QJ2VWSMLQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:YOYMNEXKFF27DIXY5QJ2VWSMLQ","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":"702882072bfefaea1a8fa8b50ca87962c2a10f21ccbe70c21d59d3c0a4656b1b","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-11-13T19:46:54Z","title_canon_sha256":"f1c6a7ca05ea2fcb18deb613b495b9788f6ccc89c6571c942b29381e0c0a15e3"},"schema_version":"1.0","source":{"id":"1311.3270","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.3270","created_at":"2026-05-18T02:39:32Z"},{"alias_kind":"arxiv_version","alias_value":"1311.3270v2","created_at":"2026-05-18T02:39:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.3270","created_at":"2026-05-18T02:39:32Z"},{"alias_kind":"pith_short_12","alias_value":"YOYMNEXKFF27","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"YOYMNEXKFF27DIXY","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"YOYMNEXK","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:cbc449b1fc6d94b2ec25bf89594c4bd48de21d201f73a2e0cd3932e6fc7f230f","target":"graph","created_at":"2026-05-18T02:39:32Z","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":"Using the Hard Lefschetz Theorem for Sasakian manifolds, we find two examples of compact K-contact nilmanifolds with no compatible Sasakian metric in dimensions five and seven, respectively","authors_text":"Antonio De Nicola, Beniamino Cappelletti-Montano, Ivan Yudin, Juan Carlos Marrero","cross_cats":["math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-11-13T19:46:54Z","title":"Examples of compact K-contact manifolds with no Sasakian metric"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.3270","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":"sha256:1bd25303a0c3c6dd642091694808b0c8ccb459a02895799fe0fbd72102b335d9","target":"record","created_at":"2026-05-18T02:39:32Z","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":"702882072bfefaea1a8fa8b50ca87962c2a10f21ccbe70c21d59d3c0a4656b1b","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-11-13T19:46:54Z","title_canon_sha256":"f1c6a7ca05ea2fcb18deb613b495b9788f6ccc89c6571c942b29381e0c0a15e3"},"schema_version":"1.0","source":{"id":"1311.3270","kind":"arxiv","version":2}},"canonical_sha256":"c3b0c692ea2975f1a2f8ec13aada4c5c33d1ecfd6ec9712d5708f0d3bde43997","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3b0c692ea2975f1a2f8ec13aada4c5c33d1ecfd6ec9712d5708f0d3bde43997","first_computed_at":"2026-05-18T02:39:32.118036Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:32.118036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yHvGcCS6j6lq4v20z08U8qKDCNugVD7DYC34+a/8NT0oXmsQOF/cZadbINYpUEGV24UWulP6gdPQI42xPAcCBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:32.118517Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.3270","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1bd25303a0c3c6dd642091694808b0c8ccb459a02895799fe0fbd72102b335d9","sha256:cbc449b1fc6d94b2ec25bf89594c4bd48de21d201f73a2e0cd3932e6fc7f230f"],"state_sha256":"b790a1881ca3fb06996639130c93d68207196ec4b57c40154286010ce12c1c3f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VejuLf/PFcsE9CyX0Ydu7jDdjJHw/g2KfB7MPE+TvYxwt1YnYPGphTrE7M3aV0VX7tIsdfDrlsoX8MN9ugxcDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T19:53:17.764744Z","bundle_sha256":"5097c3c7d26157da20c4bffe4b47ee3fc46030e42bf7cbeea82c2789367d4d5a"}}