{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:O5VCFQE6EDKL2UAMQUDA7LEP6D","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":"35252d6f2ea79dbc74815a33f5a53854fa3b2cd40110239440d3bff96d2312d0","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-11-02T18:14:43Z","title_canon_sha256":"725facb3a2a49d2970b88d32e912a2d6da27d1c04d5e6fc1e753ac9fd1a55a3f"},"schema_version":"1.0","source":{"id":"1111.0591","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.0591","created_at":"2026-05-18T02:28:05Z"},{"alias_kind":"arxiv_version","alias_value":"1111.0591v1","created_at":"2026-05-18T02:28:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.0591","created_at":"2026-05-18T02:28:05Z"},{"alias_kind":"pith_short_12","alias_value":"O5VCFQE6EDKL","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"O5VCFQE6EDKL2UAM","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"O5VCFQE6","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:5519ac33b354b4d21ce0b1bf888188171923af6c11e0e4ac488454058d49fd87","target":"graph","created_at":"2026-05-18T02:28:05Z","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 introduce several families of filtrations on the space of vector bundles over a smooth projective variety. These filtrations are defined using the large k asymptotics of the kernel of the Dolbeault Dirac operator on a bundle twisted by the kth power of an ample line bundle. The filtrations measure the failure of the bundle to admit a holomorphic structure. We study compatibility under the Chern isomorphism of these filtrations with the Hodge filtration on cohomology.","authors_text":"Benoit Charbonneau, Mark Stern","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-11-02T18:14:43Z","title":"Asymptotic Hodge Theory of Vector Bundles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.0591","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:b52768923dd780c6ff85f9575a1d5d57b01df39bb4ea06dc87e9e77adab36418","target":"record","created_at":"2026-05-18T02:28:05Z","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":"35252d6f2ea79dbc74815a33f5a53854fa3b2cd40110239440d3bff96d2312d0","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-11-02T18:14:43Z","title_canon_sha256":"725facb3a2a49d2970b88d32e912a2d6da27d1c04d5e6fc1e753ac9fd1a55a3f"},"schema_version":"1.0","source":{"id":"1111.0591","kind":"arxiv","version":1}},"canonical_sha256":"776a22c09e20d4bd500c85060fac8ff0fd65910a6ab345af3c162fb8914b6815","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"776a22c09e20d4bd500c85060fac8ff0fd65910a6ab345af3c162fb8914b6815","first_computed_at":"2026-05-18T02:28:05.676349Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:28:05.676349Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rpzJp4Op/7WUHesCjrVOqW9qH3kfd5XvWfz+sAkjgIFR1ADWnz3XZbNxtuXzOl2VGfhCI7MTdKgTS6sVd2bECQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:28:05.676752Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.0591","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b52768923dd780c6ff85f9575a1d5d57b01df39bb4ea06dc87e9e77adab36418","sha256:5519ac33b354b4d21ce0b1bf888188171923af6c11e0e4ac488454058d49fd87"],"state_sha256":"8568fd17e9ef36f6a33a704940ee6beb9e234d67d43ed1c0105e220db5ae93f7"}