{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:4RTNOHYYG2IE3LYCCPZQ5AAS3U","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":"36e01fbe686e297eb3eceff69d3c7981742a415109238a14c8efb8b6f6b18515","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-07-25T09:38:31Z","title_canon_sha256":"830fea10d112c5aba6258bab37066373547b2ae56741509c185269355adeddfb"},"schema_version":"1.0","source":{"id":"1707.07875","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.07875","created_at":"2026-05-17T23:44:04Z"},{"alias_kind":"arxiv_version","alias_value":"1707.07875v2","created_at":"2026-05-17T23:44:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.07875","created_at":"2026-05-17T23:44:04Z"},{"alias_kind":"pith_short_12","alias_value":"4RTNOHYYG2IE","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"4RTNOHYYG2IE3LYC","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"4RTNOHYY","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:67ef22a2bbbc1f9a9de1b29ee6747725b890d1d0454528183cba48c39dc342ae","target":"graph","created_at":"2026-05-17T23:44:04Z","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 give explicit estimates for the volume of the Green-Griffiths jet differentials of any order on a toroidal compactification of a ball quotient. To this end, we first determine the growth of the logarithmic Green-Griffiths jet differentials on these objects, using a natural deformation of the logarithmic jet space of a given order, to a suitable weighted projective bundle. Then, we estimate the growth of the vanishing conditions that a logarithmic jet differential must satisfy over the boundary to be a standard one.","authors_text":"Benoit Cadorel (IMT)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-07-25T09:38:31Z","title":"Jet differentials on toroidal compactifications of ball quotients"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.07875","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":"sha256:0650bde3b6d6f6324a636b082803badc84be8978df15e3b76129ac2392663b3e","target":"record","created_at":"2026-05-17T23:44:04Z","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":"36e01fbe686e297eb3eceff69d3c7981742a415109238a14c8efb8b6f6b18515","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-07-25T09:38:31Z","title_canon_sha256":"830fea10d112c5aba6258bab37066373547b2ae56741509c185269355adeddfb"},"schema_version":"1.0","source":{"id":"1707.07875","kind":"arxiv","version":2}},"canonical_sha256":"e466d71f1836904daf0213f30e8012dd091c5c8e8054738d42da19c526feeeb9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e466d71f1836904daf0213f30e8012dd091c5c8e8054738d42da19c526feeeb9","first_computed_at":"2026-05-17T23:44:04.874571Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:04.874571Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WApjrdqGoKmaa1S40ynjc7z9yBoxp51BDK2CVQpRGEwl8sFHQfBMBPtogL/JqvsF1/Oq/7EtZpKCDFzSsYciCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:04.875133Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.07875","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0650bde3b6d6f6324a636b082803badc84be8978df15e3b76129ac2392663b3e","sha256:67ef22a2bbbc1f9a9de1b29ee6747725b890d1d0454528183cba48c39dc342ae"],"state_sha256":"3c634bcb2e9fab788bee3e133283ee6fa914a1e70b6326f8b222972f758e2c88"}