{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:ACRN45EWHT5KBCPYQBGNRSCUJU","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":"6a975df52fca9a23eeab638ba3403f47f44ee71354142ca81bb08e0e98fcdadc","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2022-03-28T08:49:24Z","title_canon_sha256":"b8f082f6a9eaec2ba83a9fb36e4830a0bcba6d174e1a3d137854b273560930dd"},"schema_version":"1.0","source":{"id":"2203.14583","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2203.14583","created_at":"2026-07-05T08:06:10Z"},{"alias_kind":"arxiv_version","alias_value":"2203.14583v2","created_at":"2026-07-05T08:06:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.14583","created_at":"2026-07-05T08:06:10Z"},{"alias_kind":"pith_short_12","alias_value":"ACRN45EWHT5K","created_at":"2026-07-05T08:06:10Z"},{"alias_kind":"pith_short_16","alias_value":"ACRN45EWHT5KBCPY","created_at":"2026-07-05T08:06:10Z"},{"alias_kind":"pith_short_8","alias_value":"ACRN45EW","created_at":"2026-07-05T08:06:10Z"}],"graph_snapshots":[{"event_id":"sha256:7a4d54336023aae786c8d546f9d517526d1297f771f7e7bfbc9750a08766b186","target":"graph","created_at":"2026-07-05T08:06:10Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2203.14583/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that the ring of Siegel-Jacobi forms of fixed degree and of fixed or bounded ratio between weight and index is not finitely generated. Our main tool is the theory of toroidal b-divisors and their relation to convex geometry. As a byproduct of our methods, we prove a conjecture of Kramer about the representation of all Siegel-Jacobi forms as sections of certain line bundles and we recover a formula due to Tai for the asymptotic dimension of the space of Siegel-Jacobi forms of given ratio between weight and index.","authors_text":"Ana Mar\\'ia Botero, David Holmes, Jos\\'e Ignacio Burgos Gil, Robin de Jong","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2022-03-28T08:49:24Z","title":"Rings of Siegel-Jacobi forms of bounded relative index are not finitely generated"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.14583","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":"sha256:916093e3a695cff1a7799c084b1f44608b058f4b7d303635842877b9ab7796fd","target":"record","created_at":"2026-07-05T08:06:10Z","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":"6a975df52fca9a23eeab638ba3403f47f44ee71354142ca81bb08e0e98fcdadc","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2022-03-28T08:49:24Z","title_canon_sha256":"b8f082f6a9eaec2ba83a9fb36e4830a0bcba6d174e1a3d137854b273560930dd"},"schema_version":"1.0","source":{"id":"2203.14583","kind":"arxiv","version":2}},"canonical_sha256":"00a2de74963cfaa089f8804cd8c8544d34a92e349efaeb4e69c56b76df683072","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"00a2de74963cfaa089f8804cd8c8544d34a92e349efaeb4e69c56b76df683072","first_computed_at":"2026-07-05T08:06:10.273266Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:06:10.273266Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UTE8WuPE3WCoNXEl7Sch15MA9syaNfn9umTQjPlFM2nZ0PrMXO5aNoNYlrVJG/DPWgoUSlpkrKQZaBBAW4nVBw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:06:10.273614Z","signed_message":"canonical_sha256_bytes"},"source_id":"2203.14583","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:916093e3a695cff1a7799c084b1f44608b058f4b7d303635842877b9ab7796fd","sha256:7a4d54336023aae786c8d546f9d517526d1297f771f7e7bfbc9750a08766b186"],"state_sha256":"ea750c8ef8cf7a991c58f15d6c1deb1bdf0df53b0d594d78d6feff751be97e3b"}