{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:5YTCR2KBAXFUPNTTKJRKQ3LLKW","short_pith_number":"pith:5YTCR2KB","canonical_record":{"source":{"id":"1706.01923","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-06-06T18:40:13Z","cross_cats_sorted":[],"title_canon_sha256":"6fcc0991eb60feb25116dc220a4d2f910b9b1772f902cb21d8b4830f4f5d41e6","abstract_canon_sha256":"697d91c01ad3aa94cf1bfc799730e5d717581fcb6fc35dd7be8e52c25fb5a7ad"},"schema_version":"1.0"},"canonical_sha256":"ee2628e94105cb47b6735262a86d6b55a66d5403e0a7a23c5a328ec892a96b59","source":{"kind":"arxiv","id":"1706.01923","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.01923","created_at":"2026-05-18T00:21:27Z"},{"alias_kind":"arxiv_version","alias_value":"1706.01923v1","created_at":"2026-05-18T00:21:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.01923","created_at":"2026-05-18T00:21:27Z"},{"alias_kind":"pith_short_12","alias_value":"5YTCR2KBAXFU","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"5YTCR2KBAXFUPNTT","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"5YTCR2KB","created_at":"2026-05-18T12:31:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:5YTCR2KBAXFUPNTTKJRKQ3LLKW","target":"record","payload":{"canonical_record":{"source":{"id":"1706.01923","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-06-06T18:40:13Z","cross_cats_sorted":[],"title_canon_sha256":"6fcc0991eb60feb25116dc220a4d2f910b9b1772f902cb21d8b4830f4f5d41e6","abstract_canon_sha256":"697d91c01ad3aa94cf1bfc799730e5d717581fcb6fc35dd7be8e52c25fb5a7ad"},"schema_version":"1.0"},"canonical_sha256":"ee2628e94105cb47b6735262a86d6b55a66d5403e0a7a23c5a328ec892a96b59","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:27.913919Z","signature_b64":"GcrWU6LgV9m6CizrvrLPWbyCcD1aSTiTTbXxC4OMQX6iqm6sEr+IbZSAGYh20n+weZaDcTdqkqL1bGCK5hfBAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ee2628e94105cb47b6735262a86d6b55a66d5403e0a7a23c5a328ec892a96b59","last_reissued_at":"2026-05-18T00:21:27.913293Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:27.913293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.01923","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":"2026-05-18T00:21:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RmeCK+2xPlvopczmoiENi0UwIz+shWaSitAsawYkSElNXZ71NBgrjX05kXhTIwJcYa5joPKCXN5rJ5sJJk2IDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T13:11:22.214627Z"},"content_sha256":"2ed3d5b392736ff976c2822e71bdbfb52d7588fedde8ca6c212bd2b66512e9aa","schema_version":"1.0","event_id":"sha256:2ed3d5b392736ff976c2822e71bdbfb52d7588fedde8ca6c212bd2b66512e9aa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:5YTCR2KBAXFUPNTTKJRKQ3LLKW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Duality Spectral Sequences for Weierstrass Fibrations and Applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Jason Lo, Ziyu Zhang","submitted_at":"2017-06-06T18:40:13Z","abstract_excerpt":"We study duality spectral sequences for Weierstrass fibrations. Using these spectral sequences, we show that on a K-trivial Weierstrass threefold over a K-numerically trivial surface, any line bundle of nonzero fiber degree is taken by a Fourier-Mukai transform to a slope stable locally free sheaf."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.01923","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":"2026-05-18T00:21:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yLTVYUkWs0Qs11e85r+MfkDVG7jI9/3OoZsYZXGY7Lp26aj51DnkqTT2WPtVsiyxij7QBy8LKSPHFlpAxm+gBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T13:11:22.214971Z"},"content_sha256":"ce781e1a6356f90f29d9618b666b6155462421647f42a20bca5b4491ebdcb636","schema_version":"1.0","event_id":"sha256:ce781e1a6356f90f29d9618b666b6155462421647f42a20bca5b4491ebdcb636"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5YTCR2KBAXFUPNTTKJRKQ3LLKW/bundle.json","state_url":"https://pith.science/pith/5YTCR2KBAXFUPNTTKJRKQ3LLKW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5YTCR2KBAXFUPNTTKJRKQ3LLKW/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":"2026-05-28T13:11:22Z","links":{"resolver":"https://pith.science/pith/5YTCR2KBAXFUPNTTKJRKQ3LLKW","bundle":"https://pith.science/pith/5YTCR2KBAXFUPNTTKJRKQ3LLKW/bundle.json","state":"https://pith.science/pith/5YTCR2KBAXFUPNTTKJRKQ3LLKW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5YTCR2KBAXFUPNTTKJRKQ3LLKW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:5YTCR2KBAXFUPNTTKJRKQ3LLKW","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":"697d91c01ad3aa94cf1bfc799730e5d717581fcb6fc35dd7be8e52c25fb5a7ad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-06-06T18:40:13Z","title_canon_sha256":"6fcc0991eb60feb25116dc220a4d2f910b9b1772f902cb21d8b4830f4f5d41e6"},"schema_version":"1.0","source":{"id":"1706.01923","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.01923","created_at":"2026-05-18T00:21:27Z"},{"alias_kind":"arxiv_version","alias_value":"1706.01923v1","created_at":"2026-05-18T00:21:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.01923","created_at":"2026-05-18T00:21:27Z"},{"alias_kind":"pith_short_12","alias_value":"5YTCR2KBAXFU","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"5YTCR2KBAXFUPNTT","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"5YTCR2KB","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:ce781e1a6356f90f29d9618b666b6155462421647f42a20bca5b4491ebdcb636","target":"graph","created_at":"2026-05-18T00:21:27Z","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 duality spectral sequences for Weierstrass fibrations. Using these spectral sequences, we show that on a K-trivial Weierstrass threefold over a K-numerically trivial surface, any line bundle of nonzero fiber degree is taken by a Fourier-Mukai transform to a slope stable locally free sheaf.","authors_text":"Jason Lo, Ziyu Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-06-06T18:40:13Z","title":"Duality Spectral Sequences for Weierstrass Fibrations and Applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.01923","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":"sha256:2ed3d5b392736ff976c2822e71bdbfb52d7588fedde8ca6c212bd2b66512e9aa","target":"record","created_at":"2026-05-18T00:21:27Z","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":"697d91c01ad3aa94cf1bfc799730e5d717581fcb6fc35dd7be8e52c25fb5a7ad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-06-06T18:40:13Z","title_canon_sha256":"6fcc0991eb60feb25116dc220a4d2f910b9b1772f902cb21d8b4830f4f5d41e6"},"schema_version":"1.0","source":{"id":"1706.01923","kind":"arxiv","version":1}},"canonical_sha256":"ee2628e94105cb47b6735262a86d6b55a66d5403e0a7a23c5a328ec892a96b59","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ee2628e94105cb47b6735262a86d6b55a66d5403e0a7a23c5a328ec892a96b59","first_computed_at":"2026-05-18T00:21:27.913293Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:27.913293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GcrWU6LgV9m6CizrvrLPWbyCcD1aSTiTTbXxC4OMQX6iqm6sEr+IbZSAGYh20n+weZaDcTdqkqL1bGCK5hfBAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:27.913919Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.01923","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2ed3d5b392736ff976c2822e71bdbfb52d7588fedde8ca6c212bd2b66512e9aa","sha256:ce781e1a6356f90f29d9618b666b6155462421647f42a20bca5b4491ebdcb636"],"state_sha256":"1e742081950b119bb1090902762ad5e71030e875666dcd4f99b5cd6b2f54c714"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ct33cxmBQNLvau8pY/oV581jgVMsd0X6rrRZ8ZpX4gtm96E+LAdSW9ScqkgSfgoT6ZERLOQmE7smrJIG1b11CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T13:11:22.216923Z","bundle_sha256":"480ed7d44eb3da37253ab50f22af6c82a808b3db5cde4ac1aed9ec29842a9bcf"}}