{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:4H4ODQJYJ2Y7QRZSKT2N44GEVR","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":"1ef8450b6ab68538ddcd9f77789d1d61164a18b1bbe7890b07a2e278bf99129b","cross_cats_sorted":[],"license":"","primary_cat":"math.LO","submitted_at":"1995-09-01T00:00:00Z","title_canon_sha256":"240d599124792d376b458c5cf811d4dd790f0e485789463989f2ba37fb6d8bc8"},"schema_version":"1.0","source":{"id":"math/9509208","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9509208","created_at":"2026-05-18T01:05:48Z"},{"alias_kind":"arxiv_version","alias_value":"math/9509208v1","created_at":"2026-05-18T01:05:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9509208","created_at":"2026-05-18T01:05:48Z"},{"alias_kind":"pith_short_12","alias_value":"4H4ODQJYJ2Y7","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"4H4ODQJYJ2Y7QRZS","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"4H4ODQJY","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:30a85f595f15288b31f215ef16295f526b18afa123dcb472f551718ccbe30ece","target":"graph","created_at":"2026-05-18T01:05:48Z","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 present a proof of Jensen's Coding Theorem (assumong -0#) which quotes the covering lemma, but otherwise makes no appeal to fine structure theory. The key idea is to use a modified definition of the coding at limit cardinals, using \"coding delays\".","authors_text":"Sy D. Friedman","cross_cats":[],"headline":"","license":"","primary_cat":"math.LO","submitted_at":"1995-09-01T00:00:00Z","title":"Coding Without Fine Structure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9509208","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:fc1479ad07010d263e15c09ee9791abaa10672d1737ff6530b3f5578d4570263","target":"record","created_at":"2026-05-18T01:05:48Z","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":"1ef8450b6ab68538ddcd9f77789d1d61164a18b1bbe7890b07a2e278bf99129b","cross_cats_sorted":[],"license":"","primary_cat":"math.LO","submitted_at":"1995-09-01T00:00:00Z","title_canon_sha256":"240d599124792d376b458c5cf811d4dd790f0e485789463989f2ba37fb6d8bc8"},"schema_version":"1.0","source":{"id":"math/9509208","kind":"arxiv","version":1}},"canonical_sha256":"e1f8e1c1384eb1f8473254f4de70c4ac5afc87bb03351eed4fd88e194869aad1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e1f8e1c1384eb1f8473254f4de70c4ac5afc87bb03351eed4fd88e194869aad1","first_computed_at":"2026-05-18T01:05:48.364608Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:48.364608Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mMJnpRDTrLkwsz3oFQhUVBBfxweJBohdgqaX+OCWjEOrVHcHG/fk+YORXN4gSl3yo5LRRjcWwxQVBX1KzJLWBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:48.365424Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/9509208","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fc1479ad07010d263e15c09ee9791abaa10672d1737ff6530b3f5578d4570263","sha256:30a85f595f15288b31f215ef16295f526b18afa123dcb472f551718ccbe30ece"],"state_sha256":"4bb1bf42e3ca689b6e1e9640d201f14da5543897385e5a086777f8a139ad024f"}