{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:SZ4LK67ODO4UE3WVFAEHWKP4FW","short_pith_number":"pith:SZ4LK67O","schema_version":"1.0","canonical_sha256":"9678b57bee1bb9426ed528087b29fc2db641f883f25de21c0d0e28b897df01b2","source":{"kind":"arxiv","id":"2311.16814","version":2},"attestation_state":"computed","paper":{"title":"Reflexive symmetric differentials and quotients of bounded symmetric domains","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Aryaman Patel","submitted_at":"2023-11-28T14:22:53Z","abstract_excerpt":"For each classical irreducible bounded symmetric domain $\\mathcal{D}$, Klingler has computed the minimum number $m_{\\mathcal{D}}$ such that any smooth projective quotient $X=\\mathcal{D}/\\Gamma$, for $\\Gamma\\in\\textrm{Aut}^0(\\mathcal{D})$, satisfies $H^0(X,\\mathrm{Sym}^i\\Omega^1_X)=0$ for $0<i<m_{\\mathcal{D}}$. In this article, we extend Klingler's result to the case when $X$ is normal and projective. This, together with a normal version of Arapura's result about the relationship between the vanishing of global symmetric differentials on $X$ and the rigidity of finite dimensional representation"},"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":"2311.16814","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.AG","submitted_at":"2023-11-28T14:22:53Z","cross_cats_sorted":[],"title_canon_sha256":"470187d844d52cf56e8c9ca11f32929f9b0d856b45e69ef52ebe59e8a5a1f470","abstract_canon_sha256":"c7eeb0fc31a3bce0f369e947f6494fb0d1b619c16ab5f93d976ce9c7b844abfd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:31:55.424816Z","signature_b64":"Kg8bzfpjU3lkWIaJHcADZHO37N19dZNaqx8yTtIDkDvbRkwl3LvUcixhCAh3mJaN0erBsQtTLyfNpz7tzw+HBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9678b57bee1bb9426ed528087b29fc2db641f883f25de21c0d0e28b897df01b2","last_reissued_at":"2026-07-05T07:31:55.424348Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:31:55.424348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Reflexive symmetric differentials and quotients of bounded symmetric domains","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Aryaman Patel","submitted_at":"2023-11-28T14:22:53Z","abstract_excerpt":"For each classical irreducible bounded symmetric domain $\\mathcal{D}$, Klingler has computed the minimum number $m_{\\mathcal{D}}$ such that any smooth projective quotient $X=\\mathcal{D}/\\Gamma$, for $\\Gamma\\in\\textrm{Aut}^0(\\mathcal{D})$, satisfies $H^0(X,\\mathrm{Sym}^i\\Omega^1_X)=0$ for $0<i<m_{\\mathcal{D}}$. In this article, we extend Klingler's result to the case when $X$ is normal and projective. This, together with a normal version of Arapura's result about the relationship between the vanishing of global symmetric differentials on $X$ and the rigidity of finite dimensional representation"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.16814","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2311.16814/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2311.16814","created_at":"2026-07-05T07:31:55.424407+00:00"},{"alias_kind":"arxiv_version","alias_value":"2311.16814v2","created_at":"2026-07-05T07:31:55.424407+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.16814","created_at":"2026-07-05T07:31:55.424407+00:00"},{"alias_kind":"pith_short_12","alias_value":"SZ4LK67ODO4U","created_at":"2026-07-05T07:31:55.424407+00:00"},{"alias_kind":"pith_short_16","alias_value":"SZ4LK67ODO4UE3WV","created_at":"2026-07-05T07:31:55.424407+00:00"},{"alias_kind":"pith_short_8","alias_value":"SZ4LK67O","created_at":"2026-07-05T07:31:55.424407+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/SZ4LK67ODO4UE3WVFAEHWKP4FW","json":"https://pith.science/pith/SZ4LK67ODO4UE3WVFAEHWKP4FW.json","graph_json":"https://pith.science/api/pith-number/SZ4LK67ODO4UE3WVFAEHWKP4FW/graph.json","events_json":"https://pith.science/api/pith-number/SZ4LK67ODO4UE3WVFAEHWKP4FW/events.json","paper":"https://pith.science/paper/SZ4LK67O"},"agent_actions":{"view_html":"https://pith.science/pith/SZ4LK67ODO4UE3WVFAEHWKP4FW","download_json":"https://pith.science/pith/SZ4LK67ODO4UE3WVFAEHWKP4FW.json","view_paper":"https://pith.science/paper/SZ4LK67O","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2311.16814&json=true","fetch_graph":"https://pith.science/api/pith-number/SZ4LK67ODO4UE3WVFAEHWKP4FW/graph.json","fetch_events":"https://pith.science/api/pith-number/SZ4LK67ODO4UE3WVFAEHWKP4FW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SZ4LK67ODO4UE3WVFAEHWKP4FW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SZ4LK67ODO4UE3WVFAEHWKP4FW/action/storage_attestation","attest_author":"https://pith.science/pith/SZ4LK67ODO4UE3WVFAEHWKP4FW/action/author_attestation","sign_citation":"https://pith.science/pith/SZ4LK67ODO4UE3WVFAEHWKP4FW/action/citation_signature","submit_replication":"https://pith.science/pith/SZ4LK67ODO4UE3WVFAEHWKP4FW/action/replication_record"}},"created_at":"2026-07-05T07:31:55.424407+00:00","updated_at":"2026-07-05T07:31:55.424407+00:00"}