{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:LC5ZM2QFG6FJ3HYBYYKU2EIJSW","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":"ac7a5b20d5a26371c5e9895d48cde5c4bc0521d00de41a29e8defc840452ee9a","cross_cats_sorted":["math.CT","math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2013-07-07T11:00:56Z","title_canon_sha256":"e3fe46700cb1f3430ff8368c5c87e51f066ca74cb31089c034eba5a3149f2832"},"schema_version":"1.0","source":{"id":"1307.1850","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.1850","created_at":"2026-05-18T02:50:42Z"},{"alias_kind":"arxiv_version","alias_value":"1307.1850v2","created_at":"2026-05-18T02:50:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.1850","created_at":"2026-05-18T02:50:42Z"},{"alias_kind":"pith_short_12","alias_value":"LC5ZM2QFG6FJ","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LC5ZM2QFG6FJ3HYB","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LC5ZM2QF","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:b09e9a4e098e263680e056f1d1bab542baeddad2598f4d81ad3e5bb98fe80d5b","target":"graph","created_at":"2026-05-18T02:50:42Z","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":"Using ideas from synthetic topology, a new approach to descriptive set theory is suggested. Synthetic descriptive set theory promises elegant explanations for various phenomena in both classic and effective descriptive set theory. Presently, we mainly focus on developing the ideas in the category of represented spaces.","authors_text":"Arno Pauly, Matthew de Brecht","cross_cats":["math.CT","math.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2013-07-07T11:00:56Z","title":"Towards Synthetic Descriptive Set Theory: An instantiation with represented spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.1850","kind":"arxiv","version":2},"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":"sha256:8d408a968c0a8df39cea49b1de10d524f63365ef4bbfd883b10909e9ad0caf03","target":"record","created_at":"2026-05-18T02:50:42Z","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":"ac7a5b20d5a26371c5e9895d48cde5c4bc0521d00de41a29e8defc840452ee9a","cross_cats_sorted":["math.CT","math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2013-07-07T11:00:56Z","title_canon_sha256":"e3fe46700cb1f3430ff8368c5c87e51f066ca74cb31089c034eba5a3149f2832"},"schema_version":"1.0","source":{"id":"1307.1850","kind":"arxiv","version":2}},"canonical_sha256":"58bb966a05378a9d9f01c6154d1109958f1f06cc1bae32551de0f7cb9548cd48","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58bb966a05378a9d9f01c6154d1109958f1f06cc1bae32551de0f7cb9548cd48","first_computed_at":"2026-05-18T02:50:42.978987Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:50:42.978987Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e/8EQqaStLmJJ0EzW7ezNNjEWGnnv8xQ3Nu4wMQGhhRJAjEvQj73F4t4cGWX4Ij1TZC6lfm1mTYrOX8JkeqUDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:50:42.979626Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.1850","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d408a968c0a8df39cea49b1de10d524f63365ef4bbfd883b10909e9ad0caf03","sha256:b09e9a4e098e263680e056f1d1bab542baeddad2598f4d81ad3e5bb98fe80d5b"],"state_sha256":"d88c5374dd69ee068ed99c0a8fb94014784eff86441371bc177ff0488891cf9f"}