{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:RL6K3SPAAD5TT6HQPBVRC2MXDH","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":"7e0194296b662cfba402e33971ff4a3ef21625fdfadda7d64b8d6745245fb438","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2015-04-21T05:20:29Z","title_canon_sha256":"bbf797c4489f48aaf76358eef01861047754d587062796b57638f254140479b1"},"schema_version":"1.0","source":{"id":"1504.05310","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.05310","created_at":"2026-05-18T02:18:14Z"},{"alias_kind":"arxiv_version","alias_value":"1504.05310v1","created_at":"2026-05-18T02:18:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.05310","created_at":"2026-05-18T02:18:14Z"},{"alias_kind":"pith_short_12","alias_value":"RL6K3SPAAD5T","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RL6K3SPAAD5TT6HQ","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RL6K3SPA","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:498ecf5524f79a79433fbacf3b13946695d307e42fad8e0b3d97623b4810180b","target":"graph","created_at":"2026-05-18T02:18:14Z","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 my PhD thesis a version of Shelah's Presentation Theorem in the setting of Metric Abstract Elementary Classes was proved, where we claimed that the new function symbols are not necessarily uniformly continuous. In this paper we provide a proof they are in fact uniformly continuous.","authors_text":"Pedro Zambrano","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2015-04-21T05:20:29Z","title":"Towards a proof of the Shelah Presentation Theorem in Metric Abstract Elementary Classes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.05310","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:df4b9e512f23c68fb636770f27fca9f99cce01cf81e552eb07ce0bb7136d863e","target":"record","created_at":"2026-05-18T02:18:14Z","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":"7e0194296b662cfba402e33971ff4a3ef21625fdfadda7d64b8d6745245fb438","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2015-04-21T05:20:29Z","title_canon_sha256":"bbf797c4489f48aaf76358eef01861047754d587062796b57638f254140479b1"},"schema_version":"1.0","source":{"id":"1504.05310","kind":"arxiv","version":1}},"canonical_sha256":"8afcadc9e000fb39f8f0786b11699719ec4193328722e8ef732884cfac5be71c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8afcadc9e000fb39f8f0786b11699719ec4193328722e8ef732884cfac5be71c","first_computed_at":"2026-05-18T02:18:14.565365Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:14.565365Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TXsFeSOHJwxYfKCUk1KFvNqbtVfJiItD3J0Eyp8gErKe6lsEz7b51Lr1TBfsBYM6yFYqsSPB0q33jMdAufqcAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:14.565867Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.05310","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df4b9e512f23c68fb636770f27fca9f99cce01cf81e552eb07ce0bb7136d863e","sha256:498ecf5524f79a79433fbacf3b13946695d307e42fad8e0b3d97623b4810180b"],"state_sha256":"068f30e038b4c7c7593cef1d3d8b91e749e426f6338548e42fa8de74bc1fd3e4"}