{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:HVFCQ44BLFI5O22T5RXQKDPTLX","short_pith_number":"pith:HVFCQ44B","canonical_record":{"source":{"id":"1109.6608","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-09-29T18:11:47Z","cross_cats_sorted":[],"title_canon_sha256":"31dcd0aecd7735b5a271f32c7a124cdea2e10769792a98a05ee72de4128c612b","abstract_canon_sha256":"64c00ea2b7c4b9471415bf49e0b5fa83f351fd7e5c9774c3ff4af799ecd6941e"},"schema_version":"1.0"},"canonical_sha256":"3d4a2873815951d76b53ec6f050df35de7c6a96fb87e96e3d9b00ec6a9481ea9","source":{"kind":"arxiv","id":"1109.6608","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6608","created_at":"2026-05-18T04:09:46Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6608v4","created_at":"2026-05-18T04:09:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6608","created_at":"2026-05-18T04:09:46Z"},{"alias_kind":"pith_short_12","alias_value":"HVFCQ44BLFI5","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"HVFCQ44BLFI5O22T","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"HVFCQ44B","created_at":"2026-05-18T12:26:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:HVFCQ44BLFI5O22T5RXQKDPTLX","target":"record","payload":{"canonical_record":{"source":{"id":"1109.6608","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-09-29T18:11:47Z","cross_cats_sorted":[],"title_canon_sha256":"31dcd0aecd7735b5a271f32c7a124cdea2e10769792a98a05ee72de4128c612b","abstract_canon_sha256":"64c00ea2b7c4b9471415bf49e0b5fa83f351fd7e5c9774c3ff4af799ecd6941e"},"schema_version":"1.0"},"canonical_sha256":"3d4a2873815951d76b53ec6f050df35de7c6a96fb87e96e3d9b00ec6a9481ea9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:09:46.703846Z","signature_b64":"Oe2WB+iB6450gaOVNKPC5Ey44h4DPdyPF+m61tcVDhZWP/xIhSjKKlsPhWTBLjznRJk9jkwfj7Kg43Zth5szDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d4a2873815951d76b53ec6f050df35de7c6a96fb87e96e3d9b00ec6a9481ea9","last_reissued_at":"2026-05-18T04:09:46.703205Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:09:46.703205Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.6608","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:09:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1wbrGzEbN2ElJ0mkOFGcI1KOo7rLU/WMyTs0DDxmgBS/u8R64lu6UBZvSDbJZcvIb/ydAeOlA1ajGFNiI9xZDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T01:21:32.120205Z"},"content_sha256":"b3d3bdf74ea928653d9c73abe54226f41415bb4e1ad8b864b39944922a1a644f","schema_version":"1.0","event_id":"sha256:b3d3bdf74ea928653d9c73abe54226f41415bb4e1ad8b864b39944922a1a644f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:HVFCQ44BLFI5O22T5RXQKDPTLX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The free pseudospace is n-ample, but not (n+1)-ample","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Katrin Tent","submitted_at":"2011-09-29T18:11:47Z","abstract_excerpt":"We give a uniform construction of free pseudospaces of dimension n extending work by Baudisch and Pillay. This yields examples of $\\omega$-stable theories which are n-ample, but not (n+1)-ample. The prime models of these theories are buildings associated to certain right-angled Coxeter groups."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6608","kind":"arxiv","version":4},"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":"2026-05-18T04:09:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bHDgyb+nXZh42JMmV/+TZPRDbeRs7TVkooq/xYiv+pZp95edZgMKibbfn+8vqVTzLwfC5CIwg6sbLgr7pLY+BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T01:21:32.120930Z"},"content_sha256":"f48a0a704724b292bb886ec3dea095326e0416c356a7044caca940cc3e0883e5","schema_version":"1.0","event_id":"sha256:f48a0a704724b292bb886ec3dea095326e0416c356a7044caca940cc3e0883e5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HVFCQ44BLFI5O22T5RXQKDPTLX/bundle.json","state_url":"https://pith.science/pith/HVFCQ44BLFI5O22T5RXQKDPTLX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HVFCQ44BLFI5O22T5RXQKDPTLX/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":"2026-05-30T01:21:32Z","links":{"resolver":"https://pith.science/pith/HVFCQ44BLFI5O22T5RXQKDPTLX","bundle":"https://pith.science/pith/HVFCQ44BLFI5O22T5RXQKDPTLX/bundle.json","state":"https://pith.science/pith/HVFCQ44BLFI5O22T5RXQKDPTLX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HVFCQ44BLFI5O22T5RXQKDPTLX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:HVFCQ44BLFI5O22T5RXQKDPTLX","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":"64c00ea2b7c4b9471415bf49e0b5fa83f351fd7e5c9774c3ff4af799ecd6941e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-09-29T18:11:47Z","title_canon_sha256":"31dcd0aecd7735b5a271f32c7a124cdea2e10769792a98a05ee72de4128c612b"},"schema_version":"1.0","source":{"id":"1109.6608","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6608","created_at":"2026-05-18T04:09:46Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6608v4","created_at":"2026-05-18T04:09:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6608","created_at":"2026-05-18T04:09:46Z"},{"alias_kind":"pith_short_12","alias_value":"HVFCQ44BLFI5","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"HVFCQ44BLFI5O22T","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"HVFCQ44B","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:f48a0a704724b292bb886ec3dea095326e0416c356a7044caca940cc3e0883e5","target":"graph","created_at":"2026-05-18T04:09:46Z","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 give a uniform construction of free pseudospaces of dimension n extending work by Baudisch and Pillay. This yields examples of $\\omega$-stable theories which are n-ample, but not (n+1)-ample. The prime models of these theories are buildings associated to certain right-angled Coxeter groups.","authors_text":"Katrin Tent","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-09-29T18:11:47Z","title":"The free pseudospace is n-ample, but not (n+1)-ample"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6608","kind":"arxiv","version":4},"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:b3d3bdf74ea928653d9c73abe54226f41415bb4e1ad8b864b39944922a1a644f","target":"record","created_at":"2026-05-18T04:09:46Z","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":"64c00ea2b7c4b9471415bf49e0b5fa83f351fd7e5c9774c3ff4af799ecd6941e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-09-29T18:11:47Z","title_canon_sha256":"31dcd0aecd7735b5a271f32c7a124cdea2e10769792a98a05ee72de4128c612b"},"schema_version":"1.0","source":{"id":"1109.6608","kind":"arxiv","version":4}},"canonical_sha256":"3d4a2873815951d76b53ec6f050df35de7c6a96fb87e96e3d9b00ec6a9481ea9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d4a2873815951d76b53ec6f050df35de7c6a96fb87e96e3d9b00ec6a9481ea9","first_computed_at":"2026-05-18T04:09:46.703205Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:09:46.703205Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Oe2WB+iB6450gaOVNKPC5Ey44h4DPdyPF+m61tcVDhZWP/xIhSjKKlsPhWTBLjznRJk9jkwfj7Kg43Zth5szDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:09:46.703846Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.6608","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b3d3bdf74ea928653d9c73abe54226f41415bb4e1ad8b864b39944922a1a644f","sha256:f48a0a704724b292bb886ec3dea095326e0416c356a7044caca940cc3e0883e5"],"state_sha256":"9776b0ea3dfbdf9f6ab1a093ac8170bebb50613768fd872f76f370f72b70c141"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Rp8DBmIQfW8IpyBAVPjFKJHLJPRNR8tKHM4/KAdwZdJ9xB7OO4eA6q4fNkxtzmMGqT5FH+TYMjpxjiqcof4zCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T01:21:32.124943Z","bundle_sha256":"8fce0cf28569fa6e456a6892a71e064d1247fe0b0f89d6a212f6ea72ca063f54"}}