{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:K5SJGXFGL75FR4UAGWTOVKH4ZV","short_pith_number":"pith:K5SJGXFG","canonical_record":{"source":{"id":"0711.2238","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2007-11-14T16:37:54Z","cross_cats_sorted":[],"title_canon_sha256":"7ccf75882302c62c4e47eb9e5079892d7163c67996aa0b755b3bd1eccbd39526","abstract_canon_sha256":"640902a3972126fe6086cef7caef41049b10ae2c0f6b70912a88c82b624e8ae0"},"schema_version":"1.0"},"canonical_sha256":"5764935ca65ffa58f28035a6eaa8fccd79eb25c1c01d2acd3c2113073e63b59f","source":{"kind":"arxiv","id":"0711.2238","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0711.2238","created_at":"2026-05-18T04:09:36Z"},{"alias_kind":"arxiv_version","alias_value":"0711.2238v1","created_at":"2026-05-18T04:09:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0711.2238","created_at":"2026-05-18T04:09:36Z"},{"alias_kind":"pith_short_12","alias_value":"K5SJGXFGL75F","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"K5SJGXFGL75FR4UA","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"K5SJGXFG","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:K5SJGXFGL75FR4UAGWTOVKH4ZV","target":"record","payload":{"canonical_record":{"source":{"id":"0711.2238","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2007-11-14T16:37:54Z","cross_cats_sorted":[],"title_canon_sha256":"7ccf75882302c62c4e47eb9e5079892d7163c67996aa0b755b3bd1eccbd39526","abstract_canon_sha256":"640902a3972126fe6086cef7caef41049b10ae2c0f6b70912a88c82b624e8ae0"},"schema_version":"1.0"},"canonical_sha256":"5764935ca65ffa58f28035a6eaa8fccd79eb25c1c01d2acd3c2113073e63b59f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:09:36.499933Z","signature_b64":"+IHWuMvkg4oU7x4OLq8b9GxUBjajIt4RRWCC9UheJAB1jQ0QqcC7wCkCWMz2AJpEZNp8PhQYOt1Xy1Vww+ueDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5764935ca65ffa58f28035a6eaa8fccd79eb25c1c01d2acd3c2113073e63b59f","last_reissued_at":"2026-05-18T04:09:36.499471Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:09:36.499471Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0711.2238","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":"2026-05-18T04:09:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BIUfkmcTtI+KyO3giZF8FIWSeXSA3BKF6gz7HsQ3xwOwbR9iMls1ChwCEAyRdThlYGb5KvdJwYjVM2ZnP+pmCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T22:24:40.823699Z"},"content_sha256":"fb41ce1471579086474732101004124564ea6ab29591beaae9b64502f208bebf","schema_version":"1.0","event_id":"sha256:fb41ce1471579086474732101004124564ea6ab29591beaae9b64502f208bebf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:K5SJGXFGL75FR4UAGWTOVKH4ZV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fourier-Mukai transforms of line bundles on derived equivalent abelian varieties","license":"","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Martin G. Gulbrandsen","submitted_at":"2007-11-14T16:37:54Z","abstract_excerpt":"We study the Fourier-Mukai functor D(Y) -> D(X) induced by the universal family on a fine moduli space Y for simple semihomogeneous vector bundles on an abelian variety X. The main result is that the Fourier-Mukai transform of a very negative line bundle on Y is ample if and only if the bundles parametrized by Y are nef."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0711.2238","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":"2026-05-18T04:09:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k0ypD+REHtxsWlMoORhQvyBtmZxQTX80xVUWN3j51Uc/0lz/EC8mrvquoug0sModXkPrbHL9tcBLrNuVhBvcAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T22:24:40.824047Z"},"content_sha256":"23774dfbe09d144213ece451bdf4fcc3b2a61335b660450a59d84a4328a83235","schema_version":"1.0","event_id":"sha256:23774dfbe09d144213ece451bdf4fcc3b2a61335b660450a59d84a4328a83235"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K5SJGXFGL75FR4UAGWTOVKH4ZV/bundle.json","state_url":"https://pith.science/pith/K5SJGXFGL75FR4UAGWTOVKH4ZV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K5SJGXFGL75FR4UAGWTOVKH4ZV/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":"2026-06-02T22:24:40Z","links":{"resolver":"https://pith.science/pith/K5SJGXFGL75FR4UAGWTOVKH4ZV","bundle":"https://pith.science/pith/K5SJGXFGL75FR4UAGWTOVKH4ZV/bundle.json","state":"https://pith.science/pith/K5SJGXFGL75FR4UAGWTOVKH4ZV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K5SJGXFGL75FR4UAGWTOVKH4ZV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:K5SJGXFGL75FR4UAGWTOVKH4ZV","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":"640902a3972126fe6086cef7caef41049b10ae2c0f6b70912a88c82b624e8ae0","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2007-11-14T16:37:54Z","title_canon_sha256":"7ccf75882302c62c4e47eb9e5079892d7163c67996aa0b755b3bd1eccbd39526"},"schema_version":"1.0","source":{"id":"0711.2238","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0711.2238","created_at":"2026-05-18T04:09:36Z"},{"alias_kind":"arxiv_version","alias_value":"0711.2238v1","created_at":"2026-05-18T04:09:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0711.2238","created_at":"2026-05-18T04:09:36Z"},{"alias_kind":"pith_short_12","alias_value":"K5SJGXFGL75F","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"K5SJGXFGL75FR4UA","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"K5SJGXFG","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:23774dfbe09d144213ece451bdf4fcc3b2a61335b660450a59d84a4328a83235","target":"graph","created_at":"2026-05-18T04:09:36Z","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 Fourier-Mukai functor D(Y) -> D(X) induced by the universal family on a fine moduli space Y for simple semihomogeneous vector bundles on an abelian variety X. The main result is that the Fourier-Mukai transform of a very negative line bundle on Y is ample if and only if the bundles parametrized by Y are nef.","authors_text":"Martin G. Gulbrandsen","cross_cats":[],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2007-11-14T16:37:54Z","title":"Fourier-Mukai transforms of line bundles on derived equivalent abelian varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0711.2238","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:fb41ce1471579086474732101004124564ea6ab29591beaae9b64502f208bebf","target":"record","created_at":"2026-05-18T04:09:36Z","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":"640902a3972126fe6086cef7caef41049b10ae2c0f6b70912a88c82b624e8ae0","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2007-11-14T16:37:54Z","title_canon_sha256":"7ccf75882302c62c4e47eb9e5079892d7163c67996aa0b755b3bd1eccbd39526"},"schema_version":"1.0","source":{"id":"0711.2238","kind":"arxiv","version":1}},"canonical_sha256":"5764935ca65ffa58f28035a6eaa8fccd79eb25c1c01d2acd3c2113073e63b59f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5764935ca65ffa58f28035a6eaa8fccd79eb25c1c01d2acd3c2113073e63b59f","first_computed_at":"2026-05-18T04:09:36.499471Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:09:36.499471Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+IHWuMvkg4oU7x4OLq8b9GxUBjajIt4RRWCC9UheJAB1jQ0QqcC7wCkCWMz2AJpEZNp8PhQYOt1Xy1Vww+ueDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:09:36.499933Z","signed_message":"canonical_sha256_bytes"},"source_id":"0711.2238","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fb41ce1471579086474732101004124564ea6ab29591beaae9b64502f208bebf","sha256:23774dfbe09d144213ece451bdf4fcc3b2a61335b660450a59d84a4328a83235"],"state_sha256":"37a4e1645a5abda189805ec2d76384bac8f73586ddee8a21adbcee4d6a8b6574"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zZtdkHImzo5MVA5sFVHY6YlGAhYSVlz05+UuID7KsI/aCXOgZ/pEIejC3Al4Kzj6HX2iTzg83JD/IHzTwFSVAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T22:24:40.826055Z","bundle_sha256":"3f2b027293e31e80bc788516900958bb670d8d901a2096eeacdb426b5b597139"}}