{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:H44YFDBGNFMVXU52ZF76B53T3F","short_pith_number":"pith:H44YFDBG","canonical_record":{"source":{"id":"1302.5569","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-02-22T12:26:48Z","cross_cats_sorted":[],"title_canon_sha256":"588edf4d6bf9fd55ae89695ab71c16f2d2d0e949ea5fd2ea090a8ebc9c2e5d5c","abstract_canon_sha256":"b24f1d08cd891e0a146532920a8295cd4a612da2a88a0881a82d231bbf0cbe0c"},"schema_version":"1.0"},"canonical_sha256":"3f39828c2669595bd3bac97fe0f773d9604ce2d65686b4bd1412517874ee1824","source":{"kind":"arxiv","id":"1302.5569","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.5569","created_at":"2026-05-18T02:40:54Z"},{"alias_kind":"arxiv_version","alias_value":"1302.5569v3","created_at":"2026-05-18T02:40:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.5569","created_at":"2026-05-18T02:40:54Z"},{"alias_kind":"pith_short_12","alias_value":"H44YFDBGNFMV","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"H44YFDBGNFMVXU52","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"H44YFDBG","created_at":"2026-05-18T12:27:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:H44YFDBGNFMVXU52ZF76B53T3F","target":"record","payload":{"canonical_record":{"source":{"id":"1302.5569","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-02-22T12:26:48Z","cross_cats_sorted":[],"title_canon_sha256":"588edf4d6bf9fd55ae89695ab71c16f2d2d0e949ea5fd2ea090a8ebc9c2e5d5c","abstract_canon_sha256":"b24f1d08cd891e0a146532920a8295cd4a612da2a88a0881a82d231bbf0cbe0c"},"schema_version":"1.0"},"canonical_sha256":"3f39828c2669595bd3bac97fe0f773d9604ce2d65686b4bd1412517874ee1824","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:40:54.318123Z","signature_b64":"WS9cPo/pMEzP6n7HQojtQ30nHp/j12ZzBJVsbYlFkjYFdfvgeU96jWxtrSrUayBd6PmPaWIdzUXfzT0Sa+vyBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3f39828c2669595bd3bac97fe0f773d9604ce2d65686b4bd1412517874ee1824","last_reissued_at":"2026-05-18T02:40:54.317706Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:40:54.317706Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.5569","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":"2026-05-18T02:40:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tpcZwYzHVY6hJ6R+sVJXnbvNYJyFJF3c+G5Ru2ezlEk7Z/3Z7nIxnx9qJJ5WTKUBgYCdcAISgUTtLhj299D4Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T12:21:38.422029Z"},"content_sha256":"d41895cfbb9e8a5b7c5801da9f08506a5e5208b6c9984b16b45fe3e3c43b98ac","schema_version":"1.0","event_id":"sha256:d41895cfbb9e8a5b7c5801da9f08506a5e5208b6c9984b16b45fe3e3c43b98ac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:H44YFDBGNFMVXU52ZF76B53T3F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"SKT and Tamed Symplectic structures on solvmanifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Anna Fino, Hisashi Kasuya, Luigi Vezzoni","submitted_at":"2013-02-22T12:26:48Z","abstract_excerpt":"We study the existence of strong K\\\"ahler with torsion (SKT) metrics and of symplectic forms taming invariant complex structures $J$ on solvmanifolds $G/\\Gamma$ providing some negative results for some classes of solvmanifolds. In particular, we show that if either $J$ is invariant under the action of a nilpotent complement of the nilradical of $G$ or $J$ is abelian or $G$ is almost abelian (not of type (I)), then the solvmanifold $G/\\Gamma$ cannot admit any symplectic form taming the complex structure $J$, unless $G/\\Gamma$ is K\\\"ahler. As a consequence, we show that the family of non-K\\\"ahle"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.5569","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":"2026-05-18T02:40:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xGETAJfu7F+e/ilcYJHbpFONiXo1vZZVqSQYQlhleTfuZt+2SNgZvBMeIu39W+AflaA3DxL4uQeJwSkB4ffzDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T12:21:38.422388Z"},"content_sha256":"4446f1f46d4f771c94d6e4599f146be1f1de92d63915acdc361f33ca9366fb43","schema_version":"1.0","event_id":"sha256:4446f1f46d4f771c94d6e4599f146be1f1de92d63915acdc361f33ca9366fb43"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H44YFDBGNFMVXU52ZF76B53T3F/bundle.json","state_url":"https://pith.science/pith/H44YFDBGNFMVXU52ZF76B53T3F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H44YFDBGNFMVXU52ZF76B53T3F/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":"2026-06-22T12:21:38Z","links":{"resolver":"https://pith.science/pith/H44YFDBGNFMVXU52ZF76B53T3F","bundle":"https://pith.science/pith/H44YFDBGNFMVXU52ZF76B53T3F/bundle.json","state":"https://pith.science/pith/H44YFDBGNFMVXU52ZF76B53T3F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H44YFDBGNFMVXU52ZF76B53T3F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:H44YFDBGNFMVXU52ZF76B53T3F","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":"b24f1d08cd891e0a146532920a8295cd4a612da2a88a0881a82d231bbf0cbe0c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-02-22T12:26:48Z","title_canon_sha256":"588edf4d6bf9fd55ae89695ab71c16f2d2d0e949ea5fd2ea090a8ebc9c2e5d5c"},"schema_version":"1.0","source":{"id":"1302.5569","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.5569","created_at":"2026-05-18T02:40:54Z"},{"alias_kind":"arxiv_version","alias_value":"1302.5569v3","created_at":"2026-05-18T02:40:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.5569","created_at":"2026-05-18T02:40:54Z"},{"alias_kind":"pith_short_12","alias_value":"H44YFDBGNFMV","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"H44YFDBGNFMVXU52","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"H44YFDBG","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:4446f1f46d4f771c94d6e4599f146be1f1de92d63915acdc361f33ca9366fb43","target":"graph","created_at":"2026-05-18T02:40:54Z","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 study the existence of strong K\\\"ahler with torsion (SKT) metrics and of symplectic forms taming invariant complex structures $J$ on solvmanifolds $G/\\Gamma$ providing some negative results for some classes of solvmanifolds. In particular, we show that if either $J$ is invariant under the action of a nilpotent complement of the nilradical of $G$ or $J$ is abelian or $G$ is almost abelian (not of type (I)), then the solvmanifold $G/\\Gamma$ cannot admit any symplectic form taming the complex structure $J$, unless $G/\\Gamma$ is K\\\"ahler. As a consequence, we show that the family of non-K\\\"ahle","authors_text":"Anna Fino, Hisashi Kasuya, Luigi Vezzoni","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-02-22T12:26:48Z","title":"SKT and Tamed Symplectic structures on solvmanifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.5569","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:d41895cfbb9e8a5b7c5801da9f08506a5e5208b6c9984b16b45fe3e3c43b98ac","target":"record","created_at":"2026-05-18T02:40:54Z","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":"b24f1d08cd891e0a146532920a8295cd4a612da2a88a0881a82d231bbf0cbe0c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-02-22T12:26:48Z","title_canon_sha256":"588edf4d6bf9fd55ae89695ab71c16f2d2d0e949ea5fd2ea090a8ebc9c2e5d5c"},"schema_version":"1.0","source":{"id":"1302.5569","kind":"arxiv","version":3}},"canonical_sha256":"3f39828c2669595bd3bac97fe0f773d9604ce2d65686b4bd1412517874ee1824","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3f39828c2669595bd3bac97fe0f773d9604ce2d65686b4bd1412517874ee1824","first_computed_at":"2026-05-18T02:40:54.317706Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:40:54.317706Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WS9cPo/pMEzP6n7HQojtQ30nHp/j12ZzBJVsbYlFkjYFdfvgeU96jWxtrSrUayBd6PmPaWIdzUXfzT0Sa+vyBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:40:54.318123Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.5569","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d41895cfbb9e8a5b7c5801da9f08506a5e5208b6c9984b16b45fe3e3c43b98ac","sha256:4446f1f46d4f771c94d6e4599f146be1f1de92d63915acdc361f33ca9366fb43"],"state_sha256":"d6779206edb90772f124df20499323d6e61e51fe94d899a5317a8d5f1eb6fff3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j7Q+WV8tPzuY3BVfHRkNLvLv0eeynPO4LoWGV7zdppoKr4fRVamJBpU733cpLUzUQWQGDE6wOeQ7uenfBxHEDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T12:21:38.424359Z","bundle_sha256":"beedcef6131005d790822676c0530cbdcd6be12c08728f3bf70bcdf1b019c469"}}