{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:E2ZHBW46LMIXJVOZMKZXTI3RR5","short_pith_number":"pith:E2ZHBW46","canonical_record":{"source":{"id":"1202.6470","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-02-29T07:48:32Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"38da3559e32cc59c70bb8099be7c3a7fe556e0cdc62acaba75e9c2542f3ffc38","abstract_canon_sha256":"4127ca0d378faef9ec618211d03202a4d2c863b720542e60bdc32c86b46af982"},"schema_version":"1.0"},"canonical_sha256":"26b270db9e5b1174d5d962b379a3718f42df50454f9da4ed05f36f04b8da26ee","source":{"kind":"arxiv","id":"1202.6470","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.6470","created_at":"2026-05-18T03:10:26Z"},{"alias_kind":"arxiv_version","alias_value":"1202.6470v1","created_at":"2026-05-18T03:10:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.6470","created_at":"2026-05-18T03:10:26Z"},{"alias_kind":"pith_short_12","alias_value":"E2ZHBW46LMIX","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"E2ZHBW46LMIXJVOZ","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"E2ZHBW46","created_at":"2026-05-18T12:27:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:E2ZHBW46LMIXJVOZMKZXTI3RR5","target":"record","payload":{"canonical_record":{"source":{"id":"1202.6470","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-02-29T07:48:32Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"38da3559e32cc59c70bb8099be7c3a7fe556e0cdc62acaba75e9c2542f3ffc38","abstract_canon_sha256":"4127ca0d378faef9ec618211d03202a4d2c863b720542e60bdc32c86b46af982"},"schema_version":"1.0"},"canonical_sha256":"26b270db9e5b1174d5d962b379a3718f42df50454f9da4ed05f36f04b8da26ee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:10:26.959696Z","signature_b64":"x2n5Tdd85F0/8UmWcvtoE7Hx4MHBmwkTghrxHVse9/Od1x9bjTGuzr0l8oxqLEDeCO2Utdgp7BjQGaNxNyBkCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"26b270db9e5b1174d5d962b379a3718f42df50454f9da4ed05f36f04b8da26ee","last_reissued_at":"2026-05-18T03:10:26.959125Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:10:26.959125Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.6470","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":"2026-05-18T03:10:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QVbxc2jz3tqu9Vc10LxAC1sxpVbf5AwmTG9igScTkldpWzDzvxzl0VGGGoXMB4ypoyfuQ8COGigxUpnRC+TjAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T01:11:40.268891Z"},"content_sha256":"6ca9a9e9905ec06f46fa12d558dae7a280e8f971d3bec71499a8ad9a935beadf","schema_version":"1.0","event_id":"sha256:6ca9a9e9905ec06f46fa12d558dae7a280e8f971d3bec71499a8ad9a935beadf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:E2ZHBW46LMIXJVOZMKZXTI3RR5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Vanishing theorems on (l|k)-strong Kaehler manifolds with torsion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"math.DG","authors_text":"George Papadopoulos, Stefan Ivanov","submitted_at":"2012-02-29T07:48:32Z","abstract_excerpt":"We derive sufficient conditions for the vanishing of plurigenera, $p_m(J), m>0$, on compact (l|k)-strong, $\\omega^l\\wedge \\partial\\bar\\partial \\omega^k=0$, Kaehler manifolds with torsion. In particular, we show that the plurigenera of compact (l|k)-strong manifolds, k<n-1, for which the holonomy of the unique Hermitian connection with skew-symmetric torsion is contained in SU(n) vanish. As a consequence all generalized k-Gauduchon manifolds with holonomy of the Hermitian connection with skew-symmetric torsion contained in SU(n) do not admit holomorphic (n,0) forms. Furthermore we show that all"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.6470","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":"2026-05-18T03:10:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3BzNBvWnayYuSaZTWdNJzOLsaIkPVfmGzZImKuBOVLaHFRiiw/BMdoj8tVaCJK5lmLAIEdcuI99xxdFrveK8Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T01:11:40.269525Z"},"content_sha256":"588851299d18d26cf5fd94e1b37d9126b0391bbbe1fe34eb646a3979cfaaff32","schema_version":"1.0","event_id":"sha256:588851299d18d26cf5fd94e1b37d9126b0391bbbe1fe34eb646a3979cfaaff32"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E2ZHBW46LMIXJVOZMKZXTI3RR5/bundle.json","state_url":"https://pith.science/pith/E2ZHBW46LMIXJVOZMKZXTI3RR5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E2ZHBW46LMIXJVOZMKZXTI3RR5/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":"2026-06-09T01:11:40Z","links":{"resolver":"https://pith.science/pith/E2ZHBW46LMIXJVOZMKZXTI3RR5","bundle":"https://pith.science/pith/E2ZHBW46LMIXJVOZMKZXTI3RR5/bundle.json","state":"https://pith.science/pith/E2ZHBW46LMIXJVOZMKZXTI3RR5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E2ZHBW46LMIXJVOZMKZXTI3RR5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:E2ZHBW46LMIXJVOZMKZXTI3RR5","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":"4127ca0d378faef9ec618211d03202a4d2c863b720542e60bdc32c86b46af982","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-02-29T07:48:32Z","title_canon_sha256":"38da3559e32cc59c70bb8099be7c3a7fe556e0cdc62acaba75e9c2542f3ffc38"},"schema_version":"1.0","source":{"id":"1202.6470","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.6470","created_at":"2026-05-18T03:10:26Z"},{"alias_kind":"arxiv_version","alias_value":"1202.6470v1","created_at":"2026-05-18T03:10:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.6470","created_at":"2026-05-18T03:10:26Z"},{"alias_kind":"pith_short_12","alias_value":"E2ZHBW46LMIX","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"E2ZHBW46LMIXJVOZ","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"E2ZHBW46","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:588851299d18d26cf5fd94e1b37d9126b0391bbbe1fe34eb646a3979cfaaff32","target":"graph","created_at":"2026-05-18T03:10:26Z","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 derive sufficient conditions for the vanishing of plurigenera, $p_m(J), m>0$, on compact (l|k)-strong, $\\omega^l\\wedge \\partial\\bar\\partial \\omega^k=0$, Kaehler manifolds with torsion. In particular, we show that the plurigenera of compact (l|k)-strong manifolds, k<n-1, for which the holonomy of the unique Hermitian connection with skew-symmetric torsion is contained in SU(n) vanish. As a consequence all generalized k-Gauduchon manifolds with holonomy of the Hermitian connection with skew-symmetric torsion contained in SU(n) do not admit holomorphic (n,0) forms. Furthermore we show that all","authors_text":"George Papadopoulos, Stefan Ivanov","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-02-29T07:48:32Z","title":"Vanishing theorems on (l|k)-strong Kaehler manifolds with torsion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.6470","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":"sha256:6ca9a9e9905ec06f46fa12d558dae7a280e8f971d3bec71499a8ad9a935beadf","target":"record","created_at":"2026-05-18T03:10:26Z","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":"4127ca0d378faef9ec618211d03202a4d2c863b720542e60bdc32c86b46af982","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-02-29T07:48:32Z","title_canon_sha256":"38da3559e32cc59c70bb8099be7c3a7fe556e0cdc62acaba75e9c2542f3ffc38"},"schema_version":"1.0","source":{"id":"1202.6470","kind":"arxiv","version":1}},"canonical_sha256":"26b270db9e5b1174d5d962b379a3718f42df50454f9da4ed05f36f04b8da26ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"26b270db9e5b1174d5d962b379a3718f42df50454f9da4ed05f36f04b8da26ee","first_computed_at":"2026-05-18T03:10:26.959125Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:10:26.959125Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x2n5Tdd85F0/8UmWcvtoE7Hx4MHBmwkTghrxHVse9/Od1x9bjTGuzr0l8oxqLEDeCO2Utdgp7BjQGaNxNyBkCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:10:26.959696Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.6470","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ca9a9e9905ec06f46fa12d558dae7a280e8f971d3bec71499a8ad9a935beadf","sha256:588851299d18d26cf5fd94e1b37d9126b0391bbbe1fe34eb646a3979cfaaff32"],"state_sha256":"fdd41c79a68767c9cea57170f1952a9e2d412b287fd8fa5f64369b7b538e2a59"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7RNxjxjssoqJ7vR3Ybfrwy3C5LljH9ETd+zU6Am2s5237tLrpF1QKJb1gR2JPjgnMwtQ+uxJFQ32kHLvTs9OAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T01:11:40.272552Z","bundle_sha256":"b7eb4b9bdbf32cbdb9ce4e303b0b9c7bf68f96b36da103422979cb6ebf1ba4e1"}}