{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:AS3KRDCZX3M6XIWZMLBUM4YSFH","short_pith_number":"pith:AS3KRDCZ","schema_version":"1.0","canonical_sha256":"04b6a88c59bed9eba2d962c346731229de6c53a5319b181e85759d0a521b7d10","source":{"kind":"arxiv","id":"1309.4327","version":2},"attestation_state":"computed","paper":{"title":"Unboundedness of fiber invariants of canonically fibred varieties of general type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Meng Chen, Zhi Jiang","submitted_at":"2013-09-17T14:40:07Z","abstract_excerpt":"We answer an open question concerning the boundedness of canonical fiber spaces in high dimensions and prove the following: for any set of integers $n\\geq 3$, $0<d<n$ and $N>0$, there exists a nonsingular projective $n$-fold $X$ of general type so that $X$ is canonically fibred by $d$-dimensional varieties $F$ with $p_g(F)\\geq N$. This disproves the desired boundedness parallel to Beauville's boundedness theorem in the surface case."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1309.4327","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-09-17T14:40:07Z","cross_cats_sorted":[],"title_canon_sha256":"dc576004216baf7642fc149518d870dce0bb7b3db36b2fa8541f944a79a83919","abstract_canon_sha256":"a698fb4737ee3573c756429be0b5bba90dc18333895e2511e31c9c54beabd5ce"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:08.862297Z","signature_b64":"C1xoZjFxXA1wMVNRTA8ytHFhk+uA3nn+8a5qzfghkg/KHsBhvse/svYIf0y4OOZ0iK014obV55MUA7j0Q4b5DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"04b6a88c59bed9eba2d962c346731229de6c53a5319b181e85759d0a521b7d10","last_reissued_at":"2026-05-18T00:45:08.861793Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:08.861793Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Unboundedness of fiber invariants of canonically fibred varieties of general type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Meng Chen, Zhi Jiang","submitted_at":"2013-09-17T14:40:07Z","abstract_excerpt":"We answer an open question concerning the boundedness of canonical fiber spaces in high dimensions and prove the following: for any set of integers $n\\geq 3$, $0<d<n$ and $N>0$, there exists a nonsingular projective $n$-fold $X$ of general type so that $X$ is canonically fibred by $d$-dimensional varieties $F$ with $p_g(F)\\geq N$. This disproves the desired boundedness parallel to Beauville's boundedness theorem in the surface case."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.4327","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1309.4327","created_at":"2026-05-18T00:45:08.861874+00:00"},{"alias_kind":"arxiv_version","alias_value":"1309.4327v2","created_at":"2026-05-18T00:45:08.861874+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.4327","created_at":"2026-05-18T00:45:08.861874+00:00"},{"alias_kind":"pith_short_12","alias_value":"AS3KRDCZX3M6","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_16","alias_value":"AS3KRDCZX3M6XIWZ","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_8","alias_value":"AS3KRDCZ","created_at":"2026-05-18T12:27:38.830355+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AS3KRDCZX3M6XIWZMLBUM4YSFH","json":"https://pith.science/pith/AS3KRDCZX3M6XIWZMLBUM4YSFH.json","graph_json":"https://pith.science/api/pith-number/AS3KRDCZX3M6XIWZMLBUM4YSFH/graph.json","events_json":"https://pith.science/api/pith-number/AS3KRDCZX3M6XIWZMLBUM4YSFH/events.json","paper":"https://pith.science/paper/AS3KRDCZ"},"agent_actions":{"view_html":"https://pith.science/pith/AS3KRDCZX3M6XIWZMLBUM4YSFH","download_json":"https://pith.science/pith/AS3KRDCZX3M6XIWZMLBUM4YSFH.json","view_paper":"https://pith.science/paper/AS3KRDCZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1309.4327&json=true","fetch_graph":"https://pith.science/api/pith-number/AS3KRDCZX3M6XIWZMLBUM4YSFH/graph.json","fetch_events":"https://pith.science/api/pith-number/AS3KRDCZX3M6XIWZMLBUM4YSFH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AS3KRDCZX3M6XIWZMLBUM4YSFH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AS3KRDCZX3M6XIWZMLBUM4YSFH/action/storage_attestation","attest_author":"https://pith.science/pith/AS3KRDCZX3M6XIWZMLBUM4YSFH/action/author_attestation","sign_citation":"https://pith.science/pith/AS3KRDCZX3M6XIWZMLBUM4YSFH/action/citation_signature","submit_replication":"https://pith.science/pith/AS3KRDCZX3M6XIWZMLBUM4YSFH/action/replication_record"}},"created_at":"2026-05-18T00:45:08.861874+00:00","updated_at":"2026-05-18T00:45:08.861874+00:00"}