{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:U2NL3C5YY3KYPZJP2C34RQYMFQ","short_pith_number":"pith:U2NL3C5Y","canonical_record":{"source":{"id":"1203.6697","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-03-30T01:38:48Z","cross_cats_sorted":[],"title_canon_sha256":"1bb8d7f2a45a74ed13ce3e9ba2f8743cd77e309153c2e655ad9b138944741255","abstract_canon_sha256":"556b8803437dcf818ba9dea2fb917199fae932d44060815c11b9bd83d38d9001"},"schema_version":"1.0"},"canonical_sha256":"a69abd8bb8c6d587e52fd0b7c8c30c2c1dcec50cf9412a501d95fce328e7cedb","source":{"kind":"arxiv","id":"1203.6697","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.6697","created_at":"2026-05-18T02:56:12Z"},{"alias_kind":"arxiv_version","alias_value":"1203.6697v4","created_at":"2026-05-18T02:56:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.6697","created_at":"2026-05-18T02:56:12Z"},{"alias_kind":"pith_short_12","alias_value":"U2NL3C5YY3KY","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"U2NL3C5YY3KYPZJP","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"U2NL3C5Y","created_at":"2026-05-18T12:27:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:U2NL3C5YY3KYPZJP2C34RQYMFQ","target":"record","payload":{"canonical_record":{"source":{"id":"1203.6697","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-03-30T01:38:48Z","cross_cats_sorted":[],"title_canon_sha256":"1bb8d7f2a45a74ed13ce3e9ba2f8743cd77e309153c2e655ad9b138944741255","abstract_canon_sha256":"556b8803437dcf818ba9dea2fb917199fae932d44060815c11b9bd83d38d9001"},"schema_version":"1.0"},"canonical_sha256":"a69abd8bb8c6d587e52fd0b7c8c30c2c1dcec50cf9412a501d95fce328e7cedb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:56:12.853335Z","signature_b64":"W/R9zBJsDcgJlUVTVV/DORehvrdJ2foo+ybwyGr7snJmAWJRq9a9F0zfTyulaJlZXfuH2+Vu2qiG5KICk27XCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a69abd8bb8c6d587e52fd0b7c8c30c2c1dcec50cf9412a501d95fce328e7cedb","last_reissued_at":"2026-05-18T02:56:12.852807Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:56:12.852807Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.6697","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:56:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L89EtVNULtsEjalg9Wdzmkl7X+C2tVVxgZbydHa3s/MR9cWKDbLGFLLrWeQGMRsEd3uMXf9iBxuFvkbPCkaqCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T22:54:01.461881Z"},"content_sha256":"8674ee641f60c2a0b3bbfc3980355c88586c0d909ee8cd8dd0c0bc145af5ccda","schema_version":"1.0","event_id":"sha256:8674ee641f60c2a0b3bbfc3980355c88586c0d909ee8cd8dd0c0bc145af5ccda"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:U2NL3C5YY3KYPZJP2C34RQYMFQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Variations of mixed Hodge structure and semi-positivity theorems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Osamu Fujino, Taro Fujisawa","submitted_at":"2012-03-30T01:38:48Z","abstract_excerpt":"We discuss the variations of mixed Hodge structure for cohomology with compact support of quasi-projective simple normal crossing pairs. We show that they are graded polarizable admissible variations of mixed Hodge structure. Then we prove a generalization of the Fujita--Kawamata semi-positivity theorem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.6697","kind":"arxiv","version":4},"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":"2026-05-18T02:56:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8kbZQMJ1VHj7TziigeOibnKem/3HcHBzAfZO9M9j4hQYzEUAYZsJyIBan3SXBXlPNsTTvGEh7pd50kTlGT9tCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T22:54:01.462209Z"},"content_sha256":"16e3f62dc3eaad52ce8e987e20e7526860b64cabaf13aa381603b4c7ba8cd638","schema_version":"1.0","event_id":"sha256:16e3f62dc3eaad52ce8e987e20e7526860b64cabaf13aa381603b4c7ba8cd638"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U2NL3C5YY3KYPZJP2C34RQYMFQ/bundle.json","state_url":"https://pith.science/pith/U2NL3C5YY3KYPZJP2C34RQYMFQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U2NL3C5YY3KYPZJP2C34RQYMFQ/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":"2026-06-28T22:54:01Z","links":{"resolver":"https://pith.science/pith/U2NL3C5YY3KYPZJP2C34RQYMFQ","bundle":"https://pith.science/pith/U2NL3C5YY3KYPZJP2C34RQYMFQ/bundle.json","state":"https://pith.science/pith/U2NL3C5YY3KYPZJP2C34RQYMFQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U2NL3C5YY3KYPZJP2C34RQYMFQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:U2NL3C5YY3KYPZJP2C34RQYMFQ","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":"556b8803437dcf818ba9dea2fb917199fae932d44060815c11b9bd83d38d9001","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-03-30T01:38:48Z","title_canon_sha256":"1bb8d7f2a45a74ed13ce3e9ba2f8743cd77e309153c2e655ad9b138944741255"},"schema_version":"1.0","source":{"id":"1203.6697","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.6697","created_at":"2026-05-18T02:56:12Z"},{"alias_kind":"arxiv_version","alias_value":"1203.6697v4","created_at":"2026-05-18T02:56:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.6697","created_at":"2026-05-18T02:56:12Z"},{"alias_kind":"pith_short_12","alias_value":"U2NL3C5YY3KY","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"U2NL3C5YY3KYPZJP","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"U2NL3C5Y","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:16e3f62dc3eaad52ce8e987e20e7526860b64cabaf13aa381603b4c7ba8cd638","target":"graph","created_at":"2026-05-18T02:56:12Z","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 discuss the variations of mixed Hodge structure for cohomology with compact support of quasi-projective simple normal crossing pairs. We show that they are graded polarizable admissible variations of mixed Hodge structure. Then we prove a generalization of the Fujita--Kawamata semi-positivity theorem.","authors_text":"Osamu Fujino, Taro Fujisawa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-03-30T01:38:48Z","title":"Variations of mixed Hodge structure and semi-positivity theorems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.6697","kind":"arxiv","version":4},"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":"sha256:8674ee641f60c2a0b3bbfc3980355c88586c0d909ee8cd8dd0c0bc145af5ccda","target":"record","created_at":"2026-05-18T02:56:12Z","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":"556b8803437dcf818ba9dea2fb917199fae932d44060815c11b9bd83d38d9001","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-03-30T01:38:48Z","title_canon_sha256":"1bb8d7f2a45a74ed13ce3e9ba2f8743cd77e309153c2e655ad9b138944741255"},"schema_version":"1.0","source":{"id":"1203.6697","kind":"arxiv","version":4}},"canonical_sha256":"a69abd8bb8c6d587e52fd0b7c8c30c2c1dcec50cf9412a501d95fce328e7cedb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a69abd8bb8c6d587e52fd0b7c8c30c2c1dcec50cf9412a501d95fce328e7cedb","first_computed_at":"2026-05-18T02:56:12.852807Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:12.852807Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W/R9zBJsDcgJlUVTVV/DORehvrdJ2foo+ybwyGr7snJmAWJRq9a9F0zfTyulaJlZXfuH2+Vu2qiG5KICk27XCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:12.853335Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.6697","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8674ee641f60c2a0b3bbfc3980355c88586c0d909ee8cd8dd0c0bc145af5ccda","sha256:16e3f62dc3eaad52ce8e987e20e7526860b64cabaf13aa381603b4c7ba8cd638"],"state_sha256":"dc217a94846f2bad7962a3440cccb8855456b2da130d17189ccd86b663f307b8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vPpTs8P6+tTy5QYlp/eWWk/jQ99kGqUPWCn8MISlbQq17zDrSYppLLoI3ipIqjtvW+aiL5NB1F5a34xOErhlBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T22:54:01.464540Z","bundle_sha256":"7c2a024b71f092e2c8843f445d806312344ff6106d00fdb34518eaec649b7bad"}}