{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:4Q5RJRV4THU67TRIH3A6ADZR4K","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":"08e3bf9df7c81914a52b2fe68c8e18a8891663e47fbd8722b93fa55a342a3282","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-07-06T21:10:49Z","title_canon_sha256":"c6f050c69e405e40df41e775c23c3445996a17aa7629e627f8e04389a88b9714"},"schema_version":"1.0","source":{"id":"1207.1734","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.1734","created_at":"2026-05-18T03:51:34Z"},{"alias_kind":"arxiv_version","alias_value":"1207.1734v1","created_at":"2026-05-18T03:51:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.1734","created_at":"2026-05-18T03:51:34Z"},{"alias_kind":"pith_short_12","alias_value":"4Q5RJRV4THU6","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4Q5RJRV4THU67TRI","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4Q5RJRV4","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:875f783b9b381d9d6e816e50428387e510c2bd70ad342c5fa9200964de7f3ed9","target":"graph","created_at":"2026-05-18T03:51:34Z","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 construct complete, finite volume, 4-dimensional manifolds with sectional curvature $-1<K<0$ with cusp cross sections compact solvmanifolds.","authors_text":"T. Tam Nguyen Phan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-07-06T21:10:49Z","title":"Nil happens. What about Sol?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.1734","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":"sha256:173dec2f7419c59478750a4ef8616ac6aa59079e8be419c560fefd3f6c5c3e32","target":"record","created_at":"2026-05-18T03:51:34Z","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":"08e3bf9df7c81914a52b2fe68c8e18a8891663e47fbd8722b93fa55a342a3282","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-07-06T21:10:49Z","title_canon_sha256":"c6f050c69e405e40df41e775c23c3445996a17aa7629e627f8e04389a88b9714"},"schema_version":"1.0","source":{"id":"1207.1734","kind":"arxiv","version":1}},"canonical_sha256":"e43b14c6bc99e9efce283ec1e00f31e295233584f95d0cdd1c61fbf5269f115d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e43b14c6bc99e9efce283ec1e00f31e295233584f95d0cdd1c61fbf5269f115d","first_computed_at":"2026-05-18T03:51:34.824827Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:51:34.824827Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r2Nje5tDjZ2WLCJGhnIK2GaE7cR/M6LzgMUwKuqknjDvOpXvMmuCFZmyKHOpD+4R0Hs5C4xM38+I1mo8NixlCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:51:34.825505Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.1734","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:173dec2f7419c59478750a4ef8616ac6aa59079e8be419c560fefd3f6c5c3e32","sha256:875f783b9b381d9d6e816e50428387e510c2bd70ad342c5fa9200964de7f3ed9"],"state_sha256":"c22e697265226250896411d73ba1211bf1374ae7a829720d7c590c23bdf09008"}