{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:IGVOD3K2WFG7EPLTACDNROQKEC","short_pith_number":"pith:IGVOD3K2","canonical_record":{"source":{"id":"1409.1826","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-09-05T14:50:13Z","cross_cats_sorted":[],"title_canon_sha256":"a34b3ab769dffc1f48ebc86149b6e17ae76e0b315b269f76a52732d39feb6a15","abstract_canon_sha256":"b37c881a91f6e18e592786eff2401b24cc8705c5b4fc98221473fbf7f385a9d0"},"schema_version":"1.0"},"canonical_sha256":"41aae1ed5ab14df23d730086d8ba0a209c8d7610643c86d7d1342c77132114b2","source":{"kind":"arxiv","id":"1409.1826","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.1826","created_at":"2026-05-18T01:20:59Z"},{"alias_kind":"arxiv_version","alias_value":"1409.1826v2","created_at":"2026-05-18T01:20:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.1826","created_at":"2026-05-18T01:20:59Z"},{"alias_kind":"pith_short_12","alias_value":"IGVOD3K2WFG7","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"IGVOD3K2WFG7EPLT","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"IGVOD3K2","created_at":"2026-05-18T12:28:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:IGVOD3K2WFG7EPLTACDNROQKEC","target":"record","payload":{"canonical_record":{"source":{"id":"1409.1826","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-09-05T14:50:13Z","cross_cats_sorted":[],"title_canon_sha256":"a34b3ab769dffc1f48ebc86149b6e17ae76e0b315b269f76a52732d39feb6a15","abstract_canon_sha256":"b37c881a91f6e18e592786eff2401b24cc8705c5b4fc98221473fbf7f385a9d0"},"schema_version":"1.0"},"canonical_sha256":"41aae1ed5ab14df23d730086d8ba0a209c8d7610643c86d7d1342c77132114b2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:59.394569Z","signature_b64":"tCOCgrKiY2+g0OtlpcTiHqz5YXXwx/ZFKfnxQc8ITl3wMlYhfLmiM2fkFgpI3lYnuqhRUuyK7BZlxEBrstewAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"41aae1ed5ab14df23d730086d8ba0a209c8d7610643c86d7d1342c77132114b2","last_reissued_at":"2026-05-18T01:20:59.393963Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:59.393963Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.1826","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":"2026-05-18T01:20:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4DLGddC2vRgS6VygjPt4U2/98kztj6ZeHvuuAIU1DMJBb6dupOXiF0eODrVn1xnL3tmLGUMQYses8CXST3Q4Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T04:37:12.462192Z"},"content_sha256":"c565ba19b2ae130ff5cbfa43ea3400f6941107b5a4765fd9e2e8c23643dcf92c","schema_version":"1.0","event_id":"sha256:c565ba19b2ae130ff5cbfa43ea3400f6941107b5a4765fd9e2e8c23643dcf92c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:IGVOD3K2WFG7EPLTACDNROQKEC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Differential forms and quadrics of the canonical image","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Francesco Zucconi, Luca Rizzi","submitted_at":"2014-09-05T14:50:13Z","abstract_excerpt":"Let $\\pi\\colon\\mathcal{X}\\to B$ be a family over a smooth connected analytic variety $B$, not necessarily compact, whose general fiber $X$ is smooth of dimension $n$, with irregularity $\\geq n+1$ and such that the image of the canonical map of $X$ is not contained in any quadric of rank $\\leq 2n+3$. We prove that if the Albanese map of $X$ is of degree $1$ onto its image then the fibers of $\\pi\\colon\\mathcal{X}\\to B$ are birational under the assumption that all the $1$-forms and all the $n$-forms of a fiber are holomorphically liftable to $\\mathcal{X}$. Moreover we show that generic Torelli ho"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.1826","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":"2026-05-18T01:20:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gOrNRpnQspWyrU6XE5Ry+9iFkP5XAbOF9kYdQIgmNmBX5BpDkC2MfpbLrBXsQ8h0i6cKo7gE83v5OxtmtnGHDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T04:37:12.462558Z"},"content_sha256":"8ff387e2179a63174513c15ce7ce4747e0c691b5315c6f59cd51b82b1649e874","schema_version":"1.0","event_id":"sha256:8ff387e2179a63174513c15ce7ce4747e0c691b5315c6f59cd51b82b1649e874"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IGVOD3K2WFG7EPLTACDNROQKEC/bundle.json","state_url":"https://pith.science/pith/IGVOD3K2WFG7EPLTACDNROQKEC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IGVOD3K2WFG7EPLTACDNROQKEC/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":"2026-06-03T04:37:12Z","links":{"resolver":"https://pith.science/pith/IGVOD3K2WFG7EPLTACDNROQKEC","bundle":"https://pith.science/pith/IGVOD3K2WFG7EPLTACDNROQKEC/bundle.json","state":"https://pith.science/pith/IGVOD3K2WFG7EPLTACDNROQKEC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IGVOD3K2WFG7EPLTACDNROQKEC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:IGVOD3K2WFG7EPLTACDNROQKEC","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":"b37c881a91f6e18e592786eff2401b24cc8705c5b4fc98221473fbf7f385a9d0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-09-05T14:50:13Z","title_canon_sha256":"a34b3ab769dffc1f48ebc86149b6e17ae76e0b315b269f76a52732d39feb6a15"},"schema_version":"1.0","source":{"id":"1409.1826","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.1826","created_at":"2026-05-18T01:20:59Z"},{"alias_kind":"arxiv_version","alias_value":"1409.1826v2","created_at":"2026-05-18T01:20:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.1826","created_at":"2026-05-18T01:20:59Z"},{"alias_kind":"pith_short_12","alias_value":"IGVOD3K2WFG7","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"IGVOD3K2WFG7EPLT","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"IGVOD3K2","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:8ff387e2179a63174513c15ce7ce4747e0c691b5315c6f59cd51b82b1649e874","target":"graph","created_at":"2026-05-18T01:20:59Z","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":"Let $\\pi\\colon\\mathcal{X}\\to B$ be a family over a smooth connected analytic variety $B$, not necessarily compact, whose general fiber $X$ is smooth of dimension $n$, with irregularity $\\geq n+1$ and such that the image of the canonical map of $X$ is not contained in any quadric of rank $\\leq 2n+3$. We prove that if the Albanese map of $X$ is of degree $1$ onto its image then the fibers of $\\pi\\colon\\mathcal{X}\\to B$ are birational under the assumption that all the $1$-forms and all the $n$-forms of a fiber are holomorphically liftable to $\\mathcal{X}$. Moreover we show that generic Torelli ho","authors_text":"Francesco Zucconi, Luca Rizzi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-09-05T14:50:13Z","title":"Differential forms and quadrics of the canonical image"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.1826","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:c565ba19b2ae130ff5cbfa43ea3400f6941107b5a4765fd9e2e8c23643dcf92c","target":"record","created_at":"2026-05-18T01:20:59Z","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":"b37c881a91f6e18e592786eff2401b24cc8705c5b4fc98221473fbf7f385a9d0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-09-05T14:50:13Z","title_canon_sha256":"a34b3ab769dffc1f48ebc86149b6e17ae76e0b315b269f76a52732d39feb6a15"},"schema_version":"1.0","source":{"id":"1409.1826","kind":"arxiv","version":2}},"canonical_sha256":"41aae1ed5ab14df23d730086d8ba0a209c8d7610643c86d7d1342c77132114b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"41aae1ed5ab14df23d730086d8ba0a209c8d7610643c86d7d1342c77132114b2","first_computed_at":"2026-05-18T01:20:59.393963Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:59.393963Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tCOCgrKiY2+g0OtlpcTiHqz5YXXwx/ZFKfnxQc8ITl3wMlYhfLmiM2fkFgpI3lYnuqhRUuyK7BZlxEBrstewAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:59.394569Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.1826","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c565ba19b2ae130ff5cbfa43ea3400f6941107b5a4765fd9e2e8c23643dcf92c","sha256:8ff387e2179a63174513c15ce7ce4747e0c691b5315c6f59cd51b82b1649e874"],"state_sha256":"16f3c13066d3161e56b0d4f16e4d59488ce9e6c654cb3a5260d5e82cb11e0aa3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3b5hYjXkG1yqXarKxyeJGCCADotSeRvR9WiTXVJw/NgXOaK11GdaOyLcvBJTeH2gd+4lVJkq0Mg+Cz+BNwyJAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T04:37:12.464490Z","bundle_sha256":"dc2c9aec37d66d0149506305fe54658eaf0965e82e226df05a228d1098679f5a"}}