{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:EO6LOOOII6QBILUYRWU24UVNRA","short_pith_number":"pith:EO6LOOOI","canonical_record":{"source":{"id":"1104.3451","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-04-18T12:21:55Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"0e4b6f07bc90b0752b6f6217f14d19820ef1f95d586ad7214f9361f58867784f","abstract_canon_sha256":"8b75a75be24121d5f20f068d5478c82aaec5a3d01412dd9282a9797340625589"},"schema_version":"1.0"},"canonical_sha256":"23bcb739c847a0142e988da9ae52ad880aa2ba6bea4cb7476454374c394529ae","source":{"kind":"arxiv","id":"1104.3451","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.3451","created_at":"2026-05-18T03:44:15Z"},{"alias_kind":"arxiv_version","alias_value":"1104.3451v2","created_at":"2026-05-18T03:44:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.3451","created_at":"2026-05-18T03:44:15Z"},{"alias_kind":"pith_short_12","alias_value":"EO6LOOOII6QB","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"EO6LOOOII6QBILUY","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"EO6LOOOI","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:EO6LOOOII6QBILUYRWU24UVNRA","target":"record","payload":{"canonical_record":{"source":{"id":"1104.3451","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-04-18T12:21:55Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"0e4b6f07bc90b0752b6f6217f14d19820ef1f95d586ad7214f9361f58867784f","abstract_canon_sha256":"8b75a75be24121d5f20f068d5478c82aaec5a3d01412dd9282a9797340625589"},"schema_version":"1.0"},"canonical_sha256":"23bcb739c847a0142e988da9ae52ad880aa2ba6bea4cb7476454374c394529ae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:44:15.644445Z","signature_b64":"KBRRhSI5R1F8sFQI3W3Q2SPI/t1Qzv1oTlXq+iw8Dbd7j/NXKLWmcADXt6bpAtC8wn0INF/Q3yGGR0j6pET8Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"23bcb739c847a0142e988da9ae52ad880aa2ba6bea4cb7476454374c394529ae","last_reissued_at":"2026-05-18T03:44:15.643979Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:44:15.643979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.3451","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":"2026-05-18T03:44:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tQhdzBtHWLUNDDatyXHTBpt9BLD+qlS0tpAJ5/zmL4kMCy5a14SeLopp+4ipUyFD/fKiB6rno/ORp5F3uGx8Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T13:36:27.691913Z"},"content_sha256":"7d803b20705ddeb7b48096073e67b80c8e3dbbefa5113667c924c903b0345e44","schema_version":"1.0","event_id":"sha256:7d803b20705ddeb7b48096073e67b80c8e3dbbefa5113667c924c903b0345e44"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:EO6LOOOII6QBILUYRWU24UVNRA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Vaisman metrics on solvmanifolds and $d_{\\theta}$-cohomology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.CV","authors_text":"Hisashi Kasuya","submitted_at":"2011-04-18T12:21:55Z","abstract_excerpt":"We prove the non-existence of Vaisman metrics on some solvmanifolds with a left-invariant complex structure. By this theorem, we show that every Oeljeklaus-Toma manifold with $(s,1)$ admits no Vaisman metric."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.3451","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":"2026-05-18T03:44:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QUB6mAZ7C59EV728qiTLlSUhnm46o29FwOIoc5U6FUy2w7D7cwHkixfQcZWoR3Rn6K2F6ebgy6imahwQ7hAiAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T13:36:27.692258Z"},"content_sha256":"0bb82265cd2825d561d0251684770fb039a27cfe1e2d937601e05c7764dff900","schema_version":"1.0","event_id":"sha256:0bb82265cd2825d561d0251684770fb039a27cfe1e2d937601e05c7764dff900"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EO6LOOOII6QBILUYRWU24UVNRA/bundle.json","state_url":"https://pith.science/pith/EO6LOOOII6QBILUYRWU24UVNRA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EO6LOOOII6QBILUYRWU24UVNRA/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":"2026-07-04T13:36:27Z","links":{"resolver":"https://pith.science/pith/EO6LOOOII6QBILUYRWU24UVNRA","bundle":"https://pith.science/pith/EO6LOOOII6QBILUYRWU24UVNRA/bundle.json","state":"https://pith.science/pith/EO6LOOOII6QBILUYRWU24UVNRA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EO6LOOOII6QBILUYRWU24UVNRA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:EO6LOOOII6QBILUYRWU24UVNRA","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":"8b75a75be24121d5f20f068d5478c82aaec5a3d01412dd9282a9797340625589","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-04-18T12:21:55Z","title_canon_sha256":"0e4b6f07bc90b0752b6f6217f14d19820ef1f95d586ad7214f9361f58867784f"},"schema_version":"1.0","source":{"id":"1104.3451","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.3451","created_at":"2026-05-18T03:44:15Z"},{"alias_kind":"arxiv_version","alias_value":"1104.3451v2","created_at":"2026-05-18T03:44:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.3451","created_at":"2026-05-18T03:44:15Z"},{"alias_kind":"pith_short_12","alias_value":"EO6LOOOII6QB","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"EO6LOOOII6QBILUY","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"EO6LOOOI","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:0bb82265cd2825d561d0251684770fb039a27cfe1e2d937601e05c7764dff900","target":"graph","created_at":"2026-05-18T03:44:15Z","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 prove the non-existence of Vaisman metrics on some solvmanifolds with a left-invariant complex structure. By this theorem, we show that every Oeljeklaus-Toma manifold with $(s,1)$ admits no Vaisman metric.","authors_text":"Hisashi Kasuya","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-04-18T12:21:55Z","title":"Vaisman metrics on solvmanifolds and $d_{\\theta}$-cohomology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.3451","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":"sha256:7d803b20705ddeb7b48096073e67b80c8e3dbbefa5113667c924c903b0345e44","target":"record","created_at":"2026-05-18T03:44:15Z","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":"8b75a75be24121d5f20f068d5478c82aaec5a3d01412dd9282a9797340625589","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-04-18T12:21:55Z","title_canon_sha256":"0e4b6f07bc90b0752b6f6217f14d19820ef1f95d586ad7214f9361f58867784f"},"schema_version":"1.0","source":{"id":"1104.3451","kind":"arxiv","version":2}},"canonical_sha256":"23bcb739c847a0142e988da9ae52ad880aa2ba6bea4cb7476454374c394529ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"23bcb739c847a0142e988da9ae52ad880aa2ba6bea4cb7476454374c394529ae","first_computed_at":"2026-05-18T03:44:15.643979Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:44:15.643979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KBRRhSI5R1F8sFQI3W3Q2SPI/t1Qzv1oTlXq+iw8Dbd7j/NXKLWmcADXt6bpAtC8wn0INF/Q3yGGR0j6pET8Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:44:15.644445Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.3451","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d803b20705ddeb7b48096073e67b80c8e3dbbefa5113667c924c903b0345e44","sha256:0bb82265cd2825d561d0251684770fb039a27cfe1e2d937601e05c7764dff900"],"state_sha256":"227441c2b6719c32db15c90386198a8dec404e1e2cb425bf8cdada771718e384"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nqJrWbhFzU4QjBcxel1QR7CRqusNTS+dEYqc+Bh8OfgUe1ErUoW4xchu5ExZzr1tJ4D6sb+rd4CVIiYkCHOICg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T13:36:27.694242Z","bundle_sha256":"b7fdee05bf94f53b966272e941edbb04d8e83ade5a21096aed9fc67f9b492795"}}