{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:OQHM77T7PFFFWHZUCNBPLGQWHH","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":"227c0c5e27ec82bf52dfa4349cc70b94711095de1565bcefcc765b569cc6821b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-09-19T14:50:14Z","title_canon_sha256":"9198f9c266e0576c3476578acd091e2db548ed83b23bb629b924317618927c10"},"schema_version":"1.0","source":{"id":"2409.12821","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.12821","created_at":"2026-07-05T09:09:12Z"},{"alias_kind":"arxiv_version","alias_value":"2409.12821v1","created_at":"2026-07-05T09:09:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.12821","created_at":"2026-07-05T09:09:12Z"},{"alias_kind":"pith_short_12","alias_value":"OQHM77T7PFFF","created_at":"2026-07-05T09:09:12Z"},{"alias_kind":"pith_short_16","alias_value":"OQHM77T7PFFFWHZU","created_at":"2026-07-05T09:09:12Z"},{"alias_kind":"pith_short_8","alias_value":"OQHM77T7","created_at":"2026-07-05T09:09:12Z"}],"graph_snapshots":[{"event_id":"sha256:93ba433381cb7eb0b38ecc9d625257e2bd459e666962e51e9b5b67c9f16fc6ca","target":"graph","created_at":"2026-07-05T09:09:12Z","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/2409.12821/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"If $X\\subset\\operatorname{Gr}(2,6)$ is the Fano variety of lines of a smooth cubic fourfold, then we show that the restriction to $X$ of any Schur functor of the tautological quotient bundle is modular and slope polystable. Moreover it is atomic if and only if it is rigid, in which case it is also slope stable. We further compute the Ext-groups of such bundles in infinitely many cases, showing in particular the existence of new modular vector bundles on manifolds of type $\\operatorname{K3}^{[2]}$ that are slope stable and whose $\\operatorname{Ext}^1$-group is 40-dimensional.","authors_text":"Claudio Onorati, Enrico Fatighenti","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-09-19T14:50:14Z","title":"Modular vector bundles with and without moduli"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.12821","kind":"arxiv","version":1},"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":"sha256:199c977ff9928412283c4e4929a163a3c976cbf832b79e5ae46db256b43d61dc","target":"record","created_at":"2026-07-05T09:09:12Z","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":"227c0c5e27ec82bf52dfa4349cc70b94711095de1565bcefcc765b569cc6821b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-09-19T14:50:14Z","title_canon_sha256":"9198f9c266e0576c3476578acd091e2db548ed83b23bb629b924317618927c10"},"schema_version":"1.0","source":{"id":"2409.12821","kind":"arxiv","version":1}},"canonical_sha256":"740ecffe7f794a5b1f341342f59a1639cdd12e6c3e9a2ff6f5fdb806e7b5f495","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"740ecffe7f794a5b1f341342f59a1639cdd12e6c3e9a2ff6f5fdb806e7b5f495","first_computed_at":"2026-07-05T09:09:12.590682Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:09:12.590682Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bDstpvhjySiSW23pUX1P3VDOPJeitLXxZ32x2Gq3ccL/VmcVmCNtagIYzqNSwqJxCgfnzAKZTE3Wsf0q4enDCw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:09:12.591202Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.12821","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:199c977ff9928412283c4e4929a163a3c976cbf832b79e5ae46db256b43d61dc","sha256:93ba433381cb7eb0b38ecc9d625257e2bd459e666962e51e9b5b67c9f16fc6ca"],"state_sha256":"d55d95d180c454bf2083836f6aebe07593f0fc7130ffde550cf98850ea4628d2"}