{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:BDYPJPBLVXA3HDJ44H7IEGP2PL","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":"2169477ba33314cd3fa2bda91b0cac89128bd1b547221f4a936fed80c0aa8c7c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2017-11-10T23:30:46Z","title_canon_sha256":"1ecd04688f7ba115e0c293b52c5bc6dd68eb9865ac53ffe46376011f3c9ef5c8"},"schema_version":"1.0","source":{"id":"1711.04042","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.04042","created_at":"2026-05-18T00:30:50Z"},{"alias_kind":"arxiv_version","alias_value":"1711.04042v1","created_at":"2026-05-18T00:30:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.04042","created_at":"2026-05-18T00:30:50Z"},{"alias_kind":"pith_short_12","alias_value":"BDYPJPBLVXA3","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BDYPJPBLVXA3HDJ4","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BDYPJPBL","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:10f68607446016408cdfde09fd16af1cf2cc98aed48d7ab2f67a5e40cc1c45ed","target":"graph","created_at":"2026-05-18T00:30:50Z","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 prove an analogue of the fixed-point theorem for the case of definably amenable groups.","authors_text":"Alf Onshuus, Juan Felipe Carmona, Kevin D\\'avila, Rafael Zamora","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2017-11-10T23:30:46Z","title":"A fixed-point theorem for definably amenable groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.04042","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:d2860f3a8dbc857d02a81d863bbc84787f51a2004c047b4245ecc46cbec375c9","target":"record","created_at":"2026-05-18T00:30:50Z","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":"2169477ba33314cd3fa2bda91b0cac89128bd1b547221f4a936fed80c0aa8c7c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2017-11-10T23:30:46Z","title_canon_sha256":"1ecd04688f7ba115e0c293b52c5bc6dd68eb9865ac53ffe46376011f3c9ef5c8"},"schema_version":"1.0","source":{"id":"1711.04042","kind":"arxiv","version":1}},"canonical_sha256":"08f0f4bc2badc1b38d3ce1fe8219fa7af910d115010bc091087fa2494d336952","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"08f0f4bc2badc1b38d3ce1fe8219fa7af910d115010bc091087fa2494d336952","first_computed_at":"2026-05-18T00:30:50.244656Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:50.244656Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o08IR9yjL4BnO4/Mzh/KRb3agmNqsyeUhEShBiBcS4dx8RCyTYiYuTcBwmso8zfhxEfth1EGhyZhKtKqzs1vAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:50.245352Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.04042","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2860f3a8dbc857d02a81d863bbc84787f51a2004c047b4245ecc46cbec375c9","sha256:10f68607446016408cdfde09fd16af1cf2cc98aed48d7ab2f67a5e40cc1c45ed"],"state_sha256":"3aa094a50e412a86e17d6a1aae1e241b3cb1dc56296f42935b0d01ed10748e17"}