{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:MI2BTM3ILYO6IDUOUNKHEXI4CN","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":"6ed18a1991f632246132497fa480425a2be525434dad52c8c2c2fc3c3825b87e","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-01-23T15:08:11Z","title_canon_sha256":"b9fa1a6d84d56849de69067115e0b4b887a75f287f750796130946bff34e7001"},"schema_version":"1.0","source":{"id":"1901.07939","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.07939","created_at":"2026-07-05T06:10:58Z"},{"alias_kind":"arxiv_version","alias_value":"1901.07939v4","created_at":"2026-07-05T06:10:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.07939","created_at":"2026-07-05T06:10:58Z"},{"alias_kind":"pith_short_12","alias_value":"MI2BTM3ILYO6","created_at":"2026-07-05T06:10:58Z"},{"alias_kind":"pith_short_16","alias_value":"MI2BTM3ILYO6IDUO","created_at":"2026-07-05T06:10:58Z"},{"alias_kind":"pith_short_8","alias_value":"MI2BTM3I","created_at":"2026-07-05T06:10:58Z"}],"graph_snapshots":[{"event_id":"sha256:b312aaddd4fec07c7db0eae35d5a9d07cbc17a869e829adb9056ec1b861a5cfb","target":"graph","created_at":"2026-07-05T06:10:58Z","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/1901.07939/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove that LG models for minimal semisimple adjoint orbits satisfy the Katzarkov-Kontsevich-Pantev conjecture about new Hodge theoretical invariants.","authors_text":"Edoardo Ballico, Elizabeth Gasparim, Francisco Rubilar, Luiz A.B. San Martin","cross_cats":["math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-01-23T15:08:11Z","title":"Katzarkov-Kontsevich-Pantev conjecture for minimal adjoint orbits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.07939","kind":"arxiv","version":4},"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:d397a391fbc2070c2f5a71bd5eadf197fbbd56a069ccc00edba456c0bd8d379b","target":"record","created_at":"2026-07-05T06:10:58Z","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":"6ed18a1991f632246132497fa480425a2be525434dad52c8c2c2fc3c3825b87e","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-01-23T15:08:11Z","title_canon_sha256":"b9fa1a6d84d56849de69067115e0b4b887a75f287f750796130946bff34e7001"},"schema_version":"1.0","source":{"id":"1901.07939","kind":"arxiv","version":4}},"canonical_sha256":"623419b3685e1de40e8ea354725d1c1362eb25d2fee637060ad90fd1a7062b09","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"623419b3685e1de40e8ea354725d1c1362eb25d2fee637060ad90fd1a7062b09","first_computed_at":"2026-07-05T06:10:58.920943Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:10:58.920943Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iw41Q+YcmGyJYysmdGiqo2L3xo3Z2zyndAERNE6SKhtX1aDA3Ar4i8Sv6gmyfEHh3dpVxlSMKosyt5BMfptOCA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:10:58.921346Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.07939","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d397a391fbc2070c2f5a71bd5eadf197fbbd56a069ccc00edba456c0bd8d379b","sha256:b312aaddd4fec07c7db0eae35d5a9d07cbc17a869e829adb9056ec1b861a5cfb"],"state_sha256":"7db5b42a9ddff8ae158b9baddae15b03791ad107853235a5da7169046814b608"}