{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:WFGGJEHVVUQSHEVW4CMSGXWAYN","short_pith_number":"pith:WFGGJEHV","canonical_record":{"source":{"id":"1703.00758","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-03-02T12:29:10Z","cross_cats_sorted":[],"title_canon_sha256":"9d0bc5e4c4ebd799d92b12256c2fbe3596800b5c0dd031f95386da21587189b1","abstract_canon_sha256":"4de787b0fec923c1e8d4c68cd92149fb56ff01da4c19b8beb6fc8ed06eec4b00"},"schema_version":"1.0"},"canonical_sha256":"b14c6490f5ad212392b6e099235ec0c358666a3e80073943de5d7978b0ae5f11","source":{"kind":"arxiv","id":"1703.00758","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.00758","created_at":"2026-05-18T00:24:39Z"},{"alias_kind":"arxiv_version","alias_value":"1703.00758v4","created_at":"2026-05-18T00:24:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.00758","created_at":"2026-05-18T00:24:39Z"},{"alias_kind":"pith_short_12","alias_value":"WFGGJEHVVUQS","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WFGGJEHVVUQSHEVW","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WFGGJEHV","created_at":"2026-05-18T12:31:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:WFGGJEHVVUQSHEVW4CMSGXWAYN","target":"record","payload":{"canonical_record":{"source":{"id":"1703.00758","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-03-02T12:29:10Z","cross_cats_sorted":[],"title_canon_sha256":"9d0bc5e4c4ebd799d92b12256c2fbe3596800b5c0dd031f95386da21587189b1","abstract_canon_sha256":"4de787b0fec923c1e8d4c68cd92149fb56ff01da4c19b8beb6fc8ed06eec4b00"},"schema_version":"1.0"},"canonical_sha256":"b14c6490f5ad212392b6e099235ec0c358666a3e80073943de5d7978b0ae5f11","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:24:39.770437Z","signature_b64":"Ir1C/FOaFpuGML/Gc1IROhHNub2/1GarTdxsabmq1t0/q7bfzhZEPW5GKN06vdG5TZ0p5vcH3HaARJM+yI88CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b14c6490f5ad212392b6e099235ec0c358666a3e80073943de5d7978b0ae5f11","last_reissued_at":"2026-05-18T00:24:39.769920Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:24:39.769920Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.00758","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":"2026-05-18T00:24:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZGxR3p/jYa+eKRBDV3zGj0FLf5LZI/FhGSh/i2v2dlJ1bvGMCmkaOBm0iTYu1gwYCk8Cj0pWK8iBdpfgHHKOAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T00:32:19.123833Z"},"content_sha256":"0949b993107f7846f31033027d8ef7afe44b8d5fe7063c68bc8b86e48e305dad","schema_version":"1.0","event_id":"sha256:0949b993107f7846f31033027d8ef7afe44b8d5fe7063c68bc8b86e48e305dad"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:WFGGJEHVVUQSHEVW4CMSGXWAYN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effective Adjunction Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Claudio Fontanari, Marco Andreatta","submitted_at":"2017-03-02T12:29:10Z","abstract_excerpt":"Here we investigate the property of effectivity for adjoint divisors. Among others, we prove the following results:\n  (i) A normal projective variety $X$ with at most canonical singularities is uniruled if and only if for each very ample Cartier divisor $H$ on $X$ we have $H^0(X, m_0K_X+H)=0$ for some $m_0=m_0(H)>0$.\n  (ii) Let $(X,L)$ be a polarized manifold of dimension $4$ and let $t$ be an integer with $t \\ge 3$. If $K_X+tL$ is pseudo-effective, then $H^0(X, K_X+tL) \\ne 0$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.00758","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":"2026-05-18T00:24:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w8xGRqAjUXWgjgLoouqjCJQKNcwu6ZB4jEMEpQX9O0HU6HJGtmc4mu1PihUnCXBZqOESsGOvXRVWhC+uGOM4Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T00:32:19.124172Z"},"content_sha256":"17a6f0d8d179a25cc342d821395f7e31e2984a4f8743189d221af6418433f75e","schema_version":"1.0","event_id":"sha256:17a6f0d8d179a25cc342d821395f7e31e2984a4f8743189d221af6418433f75e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WFGGJEHVVUQSHEVW4CMSGXWAYN/bundle.json","state_url":"https://pith.science/pith/WFGGJEHVVUQSHEVW4CMSGXWAYN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WFGGJEHVVUQSHEVW4CMSGXWAYN/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":"2026-06-23T00:32:19Z","links":{"resolver":"https://pith.science/pith/WFGGJEHVVUQSHEVW4CMSGXWAYN","bundle":"https://pith.science/pith/WFGGJEHVVUQSHEVW4CMSGXWAYN/bundle.json","state":"https://pith.science/pith/WFGGJEHVVUQSHEVW4CMSGXWAYN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WFGGJEHVVUQSHEVW4CMSGXWAYN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:WFGGJEHVVUQSHEVW4CMSGXWAYN","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":"4de787b0fec923c1e8d4c68cd92149fb56ff01da4c19b8beb6fc8ed06eec4b00","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-03-02T12:29:10Z","title_canon_sha256":"9d0bc5e4c4ebd799d92b12256c2fbe3596800b5c0dd031f95386da21587189b1"},"schema_version":"1.0","source":{"id":"1703.00758","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.00758","created_at":"2026-05-18T00:24:39Z"},{"alias_kind":"arxiv_version","alias_value":"1703.00758v4","created_at":"2026-05-18T00:24:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.00758","created_at":"2026-05-18T00:24:39Z"},{"alias_kind":"pith_short_12","alias_value":"WFGGJEHVVUQS","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WFGGJEHVVUQSHEVW","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WFGGJEHV","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:17a6f0d8d179a25cc342d821395f7e31e2984a4f8743189d221af6418433f75e","target":"graph","created_at":"2026-05-18T00:24:39Z","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":"Here we investigate the property of effectivity for adjoint divisors. Among others, we prove the following results:\n  (i) A normal projective variety $X$ with at most canonical singularities is uniruled if and only if for each very ample Cartier divisor $H$ on $X$ we have $H^0(X, m_0K_X+H)=0$ for some $m_0=m_0(H)>0$.\n  (ii) Let $(X,L)$ be a polarized manifold of dimension $4$ and let $t$ be an integer with $t \\ge 3$. If $K_X+tL$ is pseudo-effective, then $H^0(X, K_X+tL) \\ne 0$.","authors_text":"Claudio Fontanari, Marco Andreatta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-03-02T12:29:10Z","title":"Effective Adjunction Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.00758","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":"sha256:0949b993107f7846f31033027d8ef7afe44b8d5fe7063c68bc8b86e48e305dad","target":"record","created_at":"2026-05-18T00:24:39Z","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":"4de787b0fec923c1e8d4c68cd92149fb56ff01da4c19b8beb6fc8ed06eec4b00","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-03-02T12:29:10Z","title_canon_sha256":"9d0bc5e4c4ebd799d92b12256c2fbe3596800b5c0dd031f95386da21587189b1"},"schema_version":"1.0","source":{"id":"1703.00758","kind":"arxiv","version":4}},"canonical_sha256":"b14c6490f5ad212392b6e099235ec0c358666a3e80073943de5d7978b0ae5f11","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b14c6490f5ad212392b6e099235ec0c358666a3e80073943de5d7978b0ae5f11","first_computed_at":"2026-05-18T00:24:39.769920Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:24:39.769920Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ir1C/FOaFpuGML/Gc1IROhHNub2/1GarTdxsabmq1t0/q7bfzhZEPW5GKN06vdG5TZ0p5vcH3HaARJM+yI88CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:24:39.770437Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.00758","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0949b993107f7846f31033027d8ef7afe44b8d5fe7063c68bc8b86e48e305dad","sha256:17a6f0d8d179a25cc342d821395f7e31e2984a4f8743189d221af6418433f75e"],"state_sha256":"4930d30b498e7bfd6af5766f89390001abad5308ea12bf52cba48dc35f07fbfa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6v9T4etYrs/5bejF1rLhkvZCYjXccSWGdzMTeXCOTr/qV+I8AHi/Gwy9pVRLfiTPM2YosOxZoVOEtCF/c8jlBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T00:32:19.126122Z","bundle_sha256":"29b807b5df9f2067e085ad8a29367f9653712e67a04701e5ab1004367dbf5d40"}}