{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:3BEC3SK2Z755TCNFECDXJWZST4","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":"e5220aa3c7a48a8df09193cd8f5860f0644a0d96a96e6a3505ec05d73313da1a","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2009-05-15T10:38:02Z","title_canon_sha256":"6462ef8fcdc838f757bae4a5b54e5f0a8aff6d6eb2ab7126331154d75962753d"},"schema_version":"1.0","source":{"id":"0905.2516","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.2516","created_at":"2026-05-18T02:30:08Z"},{"alias_kind":"arxiv_version","alias_value":"0905.2516v3","created_at":"2026-05-18T02:30:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.2516","created_at":"2026-05-18T02:30:08Z"},{"alias_kind":"pith_short_12","alias_value":"3BEC3SK2Z755","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"3BEC3SK2Z755TCNF","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"3BEC3SK2","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:5198fba8546e2a61f7b8d520dcadf7ea3d10e484ec56bb0ce18bce6bb78128bc","target":"graph","created_at":"2026-05-18T02:30:08Z","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"},"paper":{"abstract_excerpt":"This paper gives a sufficient and necessary condition for the existence of an (X, s)-arc-transitive imprimitive graph which is not a multicover of a given quotient graph.","authors_text":"Bin Jia","cross_cats":["math.AT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2009-05-15T10:38:02Z","title":"A construction of imprimitive symmetric graphs which are not multicovers of their quotients"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.2516","kind":"arxiv","version":3},"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":"sha256:58b302010c22f77ae02cc6b5f317aed2038522c8d383b599b4f6b43368a8287c","target":"record","created_at":"2026-05-18T02:30:08Z","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":"e5220aa3c7a48a8df09193cd8f5860f0644a0d96a96e6a3505ec05d73313da1a","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2009-05-15T10:38:02Z","title_canon_sha256":"6462ef8fcdc838f757bae4a5b54e5f0a8aff6d6eb2ab7126331154d75962753d"},"schema_version":"1.0","source":{"id":"0905.2516","kind":"arxiv","version":3}},"canonical_sha256":"d8482dc95acffbd989a5208774db329f2eab7b8e889e81a7c402af9763134e11","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d8482dc95acffbd989a5208774db329f2eab7b8e889e81a7c402af9763134e11","first_computed_at":"2026-05-18T02:30:08.988830Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:08.988830Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Lf0WvXKJqiRLCHT7qYQYEwDMq8Z4QxsqaBogxjQ5lYIQ50oWIay9qziJ1cIIY1JJXgO91ARLfV3zDUbSZczcDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:08.989515Z","signed_message":"canonical_sha256_bytes"},"source_id":"0905.2516","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:58b302010c22f77ae02cc6b5f317aed2038522c8d383b599b4f6b43368a8287c","sha256:5198fba8546e2a61f7b8d520dcadf7ea3d10e484ec56bb0ce18bce6bb78128bc"],"state_sha256":"69a02614016621eaade940d9e10dcc296c7d72c675ae17cea19bfa24a2a7ef2b"}