{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:BQMVKES6LIJLR34NWFXT5LGFPP","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":"2a68bfb2676646d0644bafe76935c8d79d67e77f88c61aed5d9d676de75c4eb9","cross_cats_sorted":["math.CV","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2022-11-15T09:20:55Z","title_canon_sha256":"7d31391be1739a93049b76946bad11680f6b63a9b7199ab1e88882c5ab74ff04"},"schema_version":"1.0","source":{"id":"2211.07998","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.07998","created_at":"2026-07-05T05:16:08Z"},{"alias_kind":"arxiv_version","alias_value":"2211.07998v1","created_at":"2026-07-05T05:16:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.07998","created_at":"2026-07-05T05:16:08Z"},{"alias_kind":"pith_short_12","alias_value":"BQMVKES6LIJL","created_at":"2026-07-05T05:16:08Z"},{"alias_kind":"pith_short_16","alias_value":"BQMVKES6LIJLR34N","created_at":"2026-07-05T05:16:08Z"},{"alias_kind":"pith_short_8","alias_value":"BQMVKES6","created_at":"2026-07-05T05:16:08Z"}],"graph_snapshots":[{"event_id":"sha256:24a3b88d6603631ed30266a9f2cf88b3ce022942e7b5c5221ec51f1ec15a0615","target":"graph","created_at":"2026-07-05T05:16:08Z","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/2211.07998/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Hyperelliptic manifolds are natural generalizations of hyperelliptic surfaces in dimensions. We provide a full classification of the groups, which arise as the holonomy group of a 4-dimensional hyperelliptic manifold. The classification is mostly based on group- and representation-theoretic methods.","authors_text":"Andreas Demleitner","cross_cats":["math.CV","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2022-11-15T09:20:55Z","title":"The Classification of Hyperelliptic Groups in Dimension 4"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.07998","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":"sha256:3a5c21ea3495f65b6fef391916dd08dadead3929b819f5f49f23d47bf4e69044","target":"record","created_at":"2026-07-05T05:16:08Z","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":"2a68bfb2676646d0644bafe76935c8d79d67e77f88c61aed5d9d676de75c4eb9","cross_cats_sorted":["math.CV","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2022-11-15T09:20:55Z","title_canon_sha256":"7d31391be1739a93049b76946bad11680f6b63a9b7199ab1e88882c5ab74ff04"},"schema_version":"1.0","source":{"id":"2211.07998","kind":"arxiv","version":1}},"canonical_sha256":"0c1955125e5a12b8ef8db16f3eacc57bd8bb5d36e62157d720494951b1db25c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c1955125e5a12b8ef8db16f3eacc57bd8bb5d36e62157d720494951b1db25c1","first_computed_at":"2026-07-05T05:16:08.745894Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:16:08.745894Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l2m+yOkJdKty+UN7w4Hu4HB2sCT/xnQE7/iEKqVirq7hJfh5MO9AQpLcEq9SSQryH+0//IvAN1LEsaLeiNLDCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:16:08.746372Z","signed_message":"canonical_sha256_bytes"},"source_id":"2211.07998","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3a5c21ea3495f65b6fef391916dd08dadead3929b819f5f49f23d47bf4e69044","sha256:24a3b88d6603631ed30266a9f2cf88b3ce022942e7b5c5221ec51f1ec15a0615"],"state_sha256":"12f83724aa2d699f2e6cbf400647810949d65c82d3b9e705b204ac419820a57e"}