{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:HT27LIK5I77MF56WV5EYCDJ2EQ","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":"12be6f79b7f3d17e79ab4e0781fde31f9b07cdcafcc4e2fddc6f4d0aebc16ea1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-05-18T10:49:51Z","title_canon_sha256":"66e1f9101bb962a3d2faee5852cee31e3d2542e4c42e223c03951eeaf4e1e7ad"},"schema_version":"1.0","source":{"id":"1405.4488","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.4488","created_at":"2026-05-18T02:51:40Z"},{"alias_kind":"arxiv_version","alias_value":"1405.4488v1","created_at":"2026-05-18T02:51:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.4488","created_at":"2026-05-18T02:51:40Z"},{"alias_kind":"pith_short_12","alias_value":"HT27LIK5I77M","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"HT27LIK5I77MF56W","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"HT27LIK5","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:424458d8d9feb72fea3e659e0f6d3513fa32bf5be92cb9195a82280e1494d414","target":"graph","created_at":"2026-05-18T02:51:40Z","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":"In this work we present some general categorial ideas on Abstract Elementary Classes (AECs) %\\cite{She}, inspired by the totality of AECs of the form $(Mod(T), \\preceq)$, for a first-order theory T: (i) we define a natural notion of (funtorial) morphism between AECs; (ii) explore the following constructions of AECs: \"generalized\" theories, pullbacks of AECs, (Galois) types as AECs; (iii) apply categorial and topological ideas to encode model-theoretic notions on spaces of types %(see Michael Lieberman Phd thesis) ; (iv) present the \"local\" axiom for AECs here called \"local Robinson's property\"","authors_text":"Andr\\'es Villaveces, Hugo Luiz Mariano, Pedro Hernan Zambrano","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-05-18T10:49:51Z","title":"A global approach to AECs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.4488","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":"sha256:8b8ee0c05a898fa16617bad913e6f9e1c5abef0f35b4b18a3e6b87870f47a682","target":"record","created_at":"2026-05-18T02:51:40Z","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":"12be6f79b7f3d17e79ab4e0781fde31f9b07cdcafcc4e2fddc6f4d0aebc16ea1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-05-18T10:49:51Z","title_canon_sha256":"66e1f9101bb962a3d2faee5852cee31e3d2542e4c42e223c03951eeaf4e1e7ad"},"schema_version":"1.0","source":{"id":"1405.4488","kind":"arxiv","version":1}},"canonical_sha256":"3cf5f5a15d47fec2f7d6af49810d3a24350bee28c83e353a1c10d2e9b35c0031","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3cf5f5a15d47fec2f7d6af49810d3a24350bee28c83e353a1c10d2e9b35c0031","first_computed_at":"2026-05-18T02:51:40.725915Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:40.725915Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h2lI2hQkEJhsOEIPl/YT2zRpriVymg1uHG/2OTCuNKTvleNZMG5Ve5adY3VNvSZow6VLcBGLyq2KZbiacOZ3CA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:40.726441Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.4488","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8b8ee0c05a898fa16617bad913e6f9e1c5abef0f35b4b18a3e6b87870f47a682","sha256:424458d8d9feb72fea3e659e0f6d3513fa32bf5be92cb9195a82280e1494d414"],"state_sha256":"6d84c7990766e05bbebeec243702b926673205f33148e56aa10f98bbf58ef469"}