{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:GNAHESU3NS2DSH5YQW2FADGNTB","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":"bc2fe82b2188ab5b6715adffb693016773ae572b4077e52f7ad4eed96ce872f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-12-19T11:44:44Z","title_canon_sha256":"7846084eace0b2d5da058a9cf97e34d4e37c1ff6c9b406c12aaa8dadc6e6c7b9"},"schema_version":"1.0","source":{"id":"0812.3758","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.3758","created_at":"2026-05-18T04:16:51Z"},{"alias_kind":"arxiv_version","alias_value":"0812.3758v1","created_at":"2026-05-18T04:16:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.3758","created_at":"2026-05-18T04:16:51Z"},{"alias_kind":"pith_short_12","alias_value":"GNAHESU3NS2D","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"GNAHESU3NS2DSH5Y","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"GNAHESU3","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:22045000ec8cc711077eadeec90dbf0118416cdf30a9665e4cf43f4a9709a45e","target":"graph","created_at":"2026-05-18T04:16:51Z","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 investigate a generalization of Kummer construction, as introduced in a recent paper by M. Andreatta and J.A. Wisniewski. The aim of this work is to classify 3-dimensional Kummer varieties by computing their Poincare polynomials.","authors_text":"Maria Donten-Bury","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-12-19T11:44:44Z","title":"On Kummer 3-folds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.3758","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":"sha256:35d5b84c1a65534b6e0be1178e0136c204de3a15db2edc8261a9993dcd048733","target":"record","created_at":"2026-05-18T04:16:51Z","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":"bc2fe82b2188ab5b6715adffb693016773ae572b4077e52f7ad4eed96ce872f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-12-19T11:44:44Z","title_canon_sha256":"7846084eace0b2d5da058a9cf97e34d4e37c1ff6c9b406c12aaa8dadc6e6c7b9"},"schema_version":"1.0","source":{"id":"0812.3758","kind":"arxiv","version":1}},"canonical_sha256":"3340724a9b6cb4391fb885b4500ccd986b3be90329121384eea4b159119fc3fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3340724a9b6cb4391fb885b4500ccd986b3be90329121384eea4b159119fc3fb","first_computed_at":"2026-05-18T04:16:51.954937Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:16:51.954937Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PC8y/LYs9KdBQNwQMh8gf9FoWLK8ccPDzArmHOSjbdkDjPqcVErFuRUw12bQTLhUcsztWoPDzZ+nc11rdI/xDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:16:51.955821Z","signed_message":"canonical_sha256_bytes"},"source_id":"0812.3758","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:35d5b84c1a65534b6e0be1178e0136c204de3a15db2edc8261a9993dcd048733","sha256:22045000ec8cc711077eadeec90dbf0118416cdf30a9665e4cf43f4a9709a45e"],"state_sha256":"b5276dc92e57c211003d3bdad87635000264cf167fc8bb9084a3fed0f92d8c04"}