{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:RA5UQ5H6W2IW3FRSMLCZUGZNFI","short_pith_number":"pith:RA5UQ5H6","canonical_record":{"source":{"id":"1411.0510","kind":"arxiv","version":7},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-11-03T14:54:56Z","cross_cats_sorted":[],"title_canon_sha256":"a00010295712106f293b98fba62a685d675bb88674e8a9fde71be5f197370770","abstract_canon_sha256":"02091ef76aacdfdb3f5b928f718d607ce411fe59475dca032f5c7b7ff3b69c86"},"schema_version":"1.0"},"canonical_sha256":"883b4874feb6916d963262c59a1b2d2a3759cfdb655c802fa6507a8621393e06","source":{"kind":"arxiv","id":"1411.0510","version":7},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.0510","created_at":"2026-05-18T00:35:18Z"},{"alias_kind":"arxiv_version","alias_value":"1411.0510v7","created_at":"2026-05-18T00:35:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.0510","created_at":"2026-05-18T00:35:18Z"},{"alias_kind":"pith_short_12","alias_value":"RA5UQ5H6W2IW","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RA5UQ5H6W2IW3FRS","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RA5UQ5H6","created_at":"2026-05-18T12:28:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:RA5UQ5H6W2IW3FRSMLCZUGZNFI","target":"record","payload":{"canonical_record":{"source":{"id":"1411.0510","kind":"arxiv","version":7},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-11-03T14:54:56Z","cross_cats_sorted":[],"title_canon_sha256":"a00010295712106f293b98fba62a685d675bb88674e8a9fde71be5f197370770","abstract_canon_sha256":"02091ef76aacdfdb3f5b928f718d607ce411fe59475dca032f5c7b7ff3b69c86"},"schema_version":"1.0"},"canonical_sha256":"883b4874feb6916d963262c59a1b2d2a3759cfdb655c802fa6507a8621393e06","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:18.853008Z","signature_b64":"ujWj3S7TDUVxEzSQ0O5VLwd6UvQchA1Q/qwesrxDFLlIVbuVm+fJ4yAwMZjr+3LiEAmIybo3hzpVc+4+0wENAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"883b4874feb6916d963262c59a1b2d2a3759cfdb655c802fa6507a8621393e06","last_reissued_at":"2026-05-18T00:35:18.852518Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:18.852518Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.0510","source_version":7,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:35:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AT/zb03/ZkzewkLB3jDbHHOhfwy89RU1Gy8SrfYcSybQmCZDgdAHjBMAI/riQafWhQW6ORGu63lfYIQqZoV0Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T04:48:29.218060Z"},"content_sha256":"cab6ee3c8ddd469dd1e95cf8fb229207df669d24b63904341d376f6cd8886f22","schema_version":"1.0","event_id":"sha256:cab6ee3c8ddd469dd1e95cf8fb229207df669d24b63904341d376f6cd8886f22"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:RA5UQ5H6W2IW3FRSMLCZUGZNFI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A model theoretic study of right-angled buildings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Amador Martin-Pizarro, Andreas Baudisch, Martin Ziegler","submitted_at":"2014-11-03T14:54:56Z","abstract_excerpt":"We study the model theory of countable right-angled buildings with infinite residues. For every Coxeter graph we obtain a complete theory with a natural axiomatisation, which is $\\omega$-stable and equational. Furthermore, we provide sharp lower and upper bounds for its degree of ampleness, computed exclusively in terms of the associated Coxeter graph. This generalises and provides an alternative treatment of the free pseudospace."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.0510","kind":"arxiv","version":7},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:35:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wsoYNDN6lZDFjki/MK8IziOrGgIc/n0Nc9UWEdY7Tg8BJkTc6ChyXh5RBVS0+gAPjE9hQSMEdVIgFaQmMKnKBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T04:48:29.218426Z"},"content_sha256":"2269437155446798d1969923b30ba7036b196b54977b63d3ee55ba0d717064e8","schema_version":"1.0","event_id":"sha256:2269437155446798d1969923b30ba7036b196b54977b63d3ee55ba0d717064e8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RA5UQ5H6W2IW3FRSMLCZUGZNFI/bundle.json","state_url":"https://pith.science/pith/RA5UQ5H6W2IW3FRSMLCZUGZNFI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RA5UQ5H6W2IW3FRSMLCZUGZNFI/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-02T04:48:29Z","links":{"resolver":"https://pith.science/pith/RA5UQ5H6W2IW3FRSMLCZUGZNFI","bundle":"https://pith.science/pith/RA5UQ5H6W2IW3FRSMLCZUGZNFI/bundle.json","state":"https://pith.science/pith/RA5UQ5H6W2IW3FRSMLCZUGZNFI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RA5UQ5H6W2IW3FRSMLCZUGZNFI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:RA5UQ5H6W2IW3FRSMLCZUGZNFI","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":"02091ef76aacdfdb3f5b928f718d607ce411fe59475dca032f5c7b7ff3b69c86","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-11-03T14:54:56Z","title_canon_sha256":"a00010295712106f293b98fba62a685d675bb88674e8a9fde71be5f197370770"},"schema_version":"1.0","source":{"id":"1411.0510","kind":"arxiv","version":7}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.0510","created_at":"2026-05-18T00:35:18Z"},{"alias_kind":"arxiv_version","alias_value":"1411.0510v7","created_at":"2026-05-18T00:35:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.0510","created_at":"2026-05-18T00:35:18Z"},{"alias_kind":"pith_short_12","alias_value":"RA5UQ5H6W2IW","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RA5UQ5H6W2IW3FRS","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RA5UQ5H6","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:2269437155446798d1969923b30ba7036b196b54977b63d3ee55ba0d717064e8","target":"graph","created_at":"2026-05-18T00:35:18Z","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 study the model theory of countable right-angled buildings with infinite residues. For every Coxeter graph we obtain a complete theory with a natural axiomatisation, which is $\\omega$-stable and equational. Furthermore, we provide sharp lower and upper bounds for its degree of ampleness, computed exclusively in terms of the associated Coxeter graph. This generalises and provides an alternative treatment of the free pseudospace.","authors_text":"Amador Martin-Pizarro, Andreas Baudisch, Martin Ziegler","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-11-03T14:54:56Z","title":"A model theoretic study of right-angled buildings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.0510","kind":"arxiv","version":7},"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:cab6ee3c8ddd469dd1e95cf8fb229207df669d24b63904341d376f6cd8886f22","target":"record","created_at":"2026-05-18T00:35:18Z","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":"02091ef76aacdfdb3f5b928f718d607ce411fe59475dca032f5c7b7ff3b69c86","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-11-03T14:54:56Z","title_canon_sha256":"a00010295712106f293b98fba62a685d675bb88674e8a9fde71be5f197370770"},"schema_version":"1.0","source":{"id":"1411.0510","kind":"arxiv","version":7}},"canonical_sha256":"883b4874feb6916d963262c59a1b2d2a3759cfdb655c802fa6507a8621393e06","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"883b4874feb6916d963262c59a1b2d2a3759cfdb655c802fa6507a8621393e06","first_computed_at":"2026-05-18T00:35:18.852518Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:18.852518Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ujWj3S7TDUVxEzSQ0O5VLwd6UvQchA1Q/qwesrxDFLlIVbuVm+fJ4yAwMZjr+3LiEAmIybo3hzpVc+4+0wENAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:18.853008Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.0510","source_kind":"arxiv","source_version":7}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cab6ee3c8ddd469dd1e95cf8fb229207df669d24b63904341d376f6cd8886f22","sha256:2269437155446798d1969923b30ba7036b196b54977b63d3ee55ba0d717064e8"],"state_sha256":"f791b156f53144b5629633ce23ff2438c857ab65a83446b0457d2b8a83040eb1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8ce+QvSa4sxIz0tKJjqNo1NFFR0dE7tBNjL95uCgYp9iOG/zap7alIKLkRj5qBml1DmJvrcw9nqAudO40evVAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T04:48:29.220386Z","bundle_sha256":"a51e9353ddcc84f448428b99eb441361cec0f1f27b213eaee5ea05bd7e7a8369"}}