{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:Z2TN4G4UEMSLWVM2SXCEZ45DQL","short_pith_number":"pith:Z2TN4G4U","canonical_record":{"source":{"id":"1411.2332","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-11-10T05:53:40Z","cross_cats_sorted":[],"title_canon_sha256":"d9f92358356561b57487cc7f196d8009bdcb192fae3b53d36d82831465704ce8","abstract_canon_sha256":"8545307bd1f4af78186739f018e6e8c558867458690a6fd576daa14eb9539cce"},"schema_version":"1.0"},"canonical_sha256":"cea6de1b942324bb559a95c44cf3a382e7daec18b13236b35f5a62e5a01fe1a9","source":{"kind":"arxiv","id":"1411.2332","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.2332","created_at":"2026-05-18T00:59:34Z"},{"alias_kind":"arxiv_version","alias_value":"1411.2332v2","created_at":"2026-05-18T00:59:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.2332","created_at":"2026-05-18T00:59:34Z"},{"alias_kind":"pith_short_12","alias_value":"Z2TN4G4UEMSL","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"Z2TN4G4UEMSLWVM2","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"Z2TN4G4U","created_at":"2026-05-18T12:28:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:Z2TN4G4UEMSLWVM2SXCEZ45DQL","target":"record","payload":{"canonical_record":{"source":{"id":"1411.2332","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-11-10T05:53:40Z","cross_cats_sorted":[],"title_canon_sha256":"d9f92358356561b57487cc7f196d8009bdcb192fae3b53d36d82831465704ce8","abstract_canon_sha256":"8545307bd1f4af78186739f018e6e8c558867458690a6fd576daa14eb9539cce"},"schema_version":"1.0"},"canonical_sha256":"cea6de1b942324bb559a95c44cf3a382e7daec18b13236b35f5a62e5a01fe1a9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:59:34.888634Z","signature_b64":"gxvlk3P9c9UNSmayFoYxKmfdPPUwj6LIu9qNz09xyl//w+8nvEcDC9wlFzM+eZJIuThSw/QFwq/XPavgJRiKDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cea6de1b942324bb559a95c44cf3a382e7daec18b13236b35f5a62e5a01fe1a9","last_reissued_at":"2026-05-18T00:59:34.888011Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:59:34.888011Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.2332","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":"2026-05-18T00:59:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4llPJenmvwix03JS2c9rpsqZGl6hpHAscF6jAPMj6DpOFJe9O3rqQXlzhT31LnFERHP7HwKy7aYjBxcYQMJXDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T06:11:24.966302Z"},"content_sha256":"dde7e968a58b1ba46bdc22f38e125a6974a834edfda766920f339b9d15dd6c8d","schema_version":"1.0","event_id":"sha256:dde7e968a58b1ba46bdc22f38e125a6974a834edfda766920f339b9d15dd6c8d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:Z2TN4G4UEMSLWVM2SXCEZ45DQL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"CY Principal Bundles over Compact K\\\"ahler Manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Bong H. Lian, Jingyue Chen","submitted_at":"2014-11-10T05:53:40Z","abstract_excerpt":"A CY bundle on a connected compact complex manifold $X$ was a crucial ingredient in constructing differential systems for period integrals in [LY], by lifting line bundles from the base $X$ to the total space. A question was therefore raised as to whether there exists such a bundle that supports the liftings of all line bundles from $X$, simultaneously. This was a key step for giving a uniform construction of differential systems for arbitrary complete intersections in $X$. In this paper, we answer the existence question in the affirmative if $X$ is assumed to be K\\\"ahler, and also in general "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.2332","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":"2026-05-18T00:59:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FkJk6UkOu0kTD+97nvAtYHOXazgLcd4e/0dzdhN4FR3Fxq2CHsr12IldqhEVF+GuZC/BZLfS08pvPnUyW52NDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T06:11:24.966670Z"},"content_sha256":"6e9dcac55d85cbe7d1fc6c0a8e18eb05f779020ae240d79cc4a3133ebc75bd6a","schema_version":"1.0","event_id":"sha256:6e9dcac55d85cbe7d1fc6c0a8e18eb05f779020ae240d79cc4a3133ebc75bd6a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z2TN4G4UEMSLWVM2SXCEZ45DQL/bundle.json","state_url":"https://pith.science/pith/Z2TN4G4UEMSLWVM2SXCEZ45DQL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z2TN4G4UEMSLWVM2SXCEZ45DQL/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":"2026-05-28T06:11:24Z","links":{"resolver":"https://pith.science/pith/Z2TN4G4UEMSLWVM2SXCEZ45DQL","bundle":"https://pith.science/pith/Z2TN4G4UEMSLWVM2SXCEZ45DQL/bundle.json","state":"https://pith.science/pith/Z2TN4G4UEMSLWVM2SXCEZ45DQL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z2TN4G4UEMSLWVM2SXCEZ45DQL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:Z2TN4G4UEMSLWVM2SXCEZ45DQL","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":"8545307bd1f4af78186739f018e6e8c558867458690a6fd576daa14eb9539cce","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-11-10T05:53:40Z","title_canon_sha256":"d9f92358356561b57487cc7f196d8009bdcb192fae3b53d36d82831465704ce8"},"schema_version":"1.0","source":{"id":"1411.2332","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.2332","created_at":"2026-05-18T00:59:34Z"},{"alias_kind":"arxiv_version","alias_value":"1411.2332v2","created_at":"2026-05-18T00:59:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.2332","created_at":"2026-05-18T00:59:34Z"},{"alias_kind":"pith_short_12","alias_value":"Z2TN4G4UEMSL","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"Z2TN4G4UEMSLWVM2","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"Z2TN4G4U","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:6e9dcac55d85cbe7d1fc6c0a8e18eb05f779020ae240d79cc4a3133ebc75bd6a","target":"graph","created_at":"2026-05-18T00:59:34Z","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":"A CY bundle on a connected compact complex manifold $X$ was a crucial ingredient in constructing differential systems for period integrals in [LY], by lifting line bundles from the base $X$ to the total space. A question was therefore raised as to whether there exists such a bundle that supports the liftings of all line bundles from $X$, simultaneously. This was a key step for giving a uniform construction of differential systems for arbitrary complete intersections in $X$. In this paper, we answer the existence question in the affirmative if $X$ is assumed to be K\\\"ahler, and also in general ","authors_text":"Bong H. Lian, Jingyue Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-11-10T05:53:40Z","title":"CY Principal Bundles over Compact K\\\"ahler Manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.2332","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:dde7e968a58b1ba46bdc22f38e125a6974a834edfda766920f339b9d15dd6c8d","target":"record","created_at":"2026-05-18T00:59:34Z","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":"8545307bd1f4af78186739f018e6e8c558867458690a6fd576daa14eb9539cce","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-11-10T05:53:40Z","title_canon_sha256":"d9f92358356561b57487cc7f196d8009bdcb192fae3b53d36d82831465704ce8"},"schema_version":"1.0","source":{"id":"1411.2332","kind":"arxiv","version":2}},"canonical_sha256":"cea6de1b942324bb559a95c44cf3a382e7daec18b13236b35f5a62e5a01fe1a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cea6de1b942324bb559a95c44cf3a382e7daec18b13236b35f5a62e5a01fe1a9","first_computed_at":"2026-05-18T00:59:34.888011Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:59:34.888011Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gxvlk3P9c9UNSmayFoYxKmfdPPUwj6LIu9qNz09xyl//w+8nvEcDC9wlFzM+eZJIuThSw/QFwq/XPavgJRiKDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:59:34.888634Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.2332","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dde7e968a58b1ba46bdc22f38e125a6974a834edfda766920f339b9d15dd6c8d","sha256:6e9dcac55d85cbe7d1fc6c0a8e18eb05f779020ae240d79cc4a3133ebc75bd6a"],"state_sha256":"42a2621f3b4424e214d93dcbc5b3bb0b9dfa366838721f1184af4e7e645ac600"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dXUJCBkmuJfbCbDfc42HAqLQ1n4rBZUmf9Rgm19plDlhMmQ1n3n2LcOqw+Qn+Kh6HE8IvmbidR7ZE8Zb87c5Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T06:11:24.968603Z","bundle_sha256":"7b9c1cb83535568486820c9cfae543ce01d1c1f97b8377bfe236cd4165eb2520"}}