{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:ETEEXQA2UXVNV24JYX4O7AGATA","short_pith_number":"pith:ETEEXQA2","canonical_record":{"source":{"id":"1104.3471","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2011-04-18T13:09:32Z","cross_cats_sorted":["math.LO"],"title_canon_sha256":"4dd336cc1e0a28a4e4cd55d0d082cfdbcd194b36189c31c5f1551aaff5e79d09","abstract_canon_sha256":"d7c13fe36d87556cdbc7bc518a69cf810a4336bd21d33502baeccd4d3ff686a5"},"schema_version":"1.0"},"canonical_sha256":"24c84bc01aa5eadaeb89c5f8ef80c09801444fae15103aeddbb776372ca18f83","source":{"kind":"arxiv","id":"1104.3471","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.3471","created_at":"2026-05-18T04:24:04Z"},{"alias_kind":"arxiv_version","alias_value":"1104.3471v1","created_at":"2026-05-18T04:24:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.3471","created_at":"2026-05-18T04:24:04Z"},{"alias_kind":"pith_short_12","alias_value":"ETEEXQA2UXVN","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"ETEEXQA2UXVNV24J","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"ETEEXQA2","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:ETEEXQA2UXVNV24JYX4O7AGATA","target":"record","payload":{"canonical_record":{"source":{"id":"1104.3471","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2011-04-18T13:09:32Z","cross_cats_sorted":["math.LO"],"title_canon_sha256":"4dd336cc1e0a28a4e4cd55d0d082cfdbcd194b36189c31c5f1551aaff5e79d09","abstract_canon_sha256":"d7c13fe36d87556cdbc7bc518a69cf810a4336bd21d33502baeccd4d3ff686a5"},"schema_version":"1.0"},"canonical_sha256":"24c84bc01aa5eadaeb89c5f8ef80c09801444fae15103aeddbb776372ca18f83","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:04.988380Z","signature_b64":"ELZ4TnyOALITRNXJ78u9sBwvHCFDXgNdFaEBBq/4z/vyS/R4L4mtbFTDJ//2yEBPUmVd+/XwInwLnb2fjBZxAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"24c84bc01aa5eadaeb89c5f8ef80c09801444fae15103aeddbb776372ca18f83","last_reissued_at":"2026-05-18T04:24:04.987869Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:04.987869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.3471","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:24:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XWTqXvhMz/nqLxStb/ktsGgpe/fS0xFM86ou9RTRRWJ+aq2xRUemIKtYzfFGG0GXXdsakB8/UiU6JS/mRNCNAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T13:51:35.623150Z"},"content_sha256":"60cc27a03ee5f9d5f237f60ca889dae0beab9cf5cf9d05af0449bbe0d0bcab49","schema_version":"1.0","event_id":"sha256:60cc27a03ee5f9d5f237f60ca889dae0beab9cf5cf9d05af0449bbe0d0bcab49"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:ETEEXQA2UXVNV24JYX4O7AGATA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"PFA(S)[S] and Locally Compact Normal Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.LO"],"primary_cat":"math.GN","authors_text":"Franklin D. Tall","submitted_at":"2011-04-18T13:09:32Z","abstract_excerpt":"We examine locally compact normal spaces in models of form PFA(S)[S], in particular characterizing paracompact, countably tight ones as those which include no perfect pre-image of omega_1 and in which all separable closed subspaces are Lindelof."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.3471","kind":"arxiv","version":1},"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":"2026-05-18T04:24:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GrozHbZ1/ig9n/q9EYXDxcAkuZ4lm38kdAUjyEWAu41TOq4pXfX/X+pmavujIqj2b98WLw0RyOkdKS2PdONTCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T13:51:35.623510Z"},"content_sha256":"b31beaf56f23bbd411d3ad5b12ce32a3df990c0693fa248170b8d896d1ede096","schema_version":"1.0","event_id":"sha256:b31beaf56f23bbd411d3ad5b12ce32a3df990c0693fa248170b8d896d1ede096"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ETEEXQA2UXVNV24JYX4O7AGATA/bundle.json","state_url":"https://pith.science/pith/ETEEXQA2UXVNV24JYX4O7AGATA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ETEEXQA2UXVNV24JYX4O7AGATA/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":"2026-07-01T13:51:35Z","links":{"resolver":"https://pith.science/pith/ETEEXQA2UXVNV24JYX4O7AGATA","bundle":"https://pith.science/pith/ETEEXQA2UXVNV24JYX4O7AGATA/bundle.json","state":"https://pith.science/pith/ETEEXQA2UXVNV24JYX4O7AGATA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ETEEXQA2UXVNV24JYX4O7AGATA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:ETEEXQA2UXVNV24JYX4O7AGATA","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":"d7c13fe36d87556cdbc7bc518a69cf810a4336bd21d33502baeccd4d3ff686a5","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2011-04-18T13:09:32Z","title_canon_sha256":"4dd336cc1e0a28a4e4cd55d0d082cfdbcd194b36189c31c5f1551aaff5e79d09"},"schema_version":"1.0","source":{"id":"1104.3471","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.3471","created_at":"2026-05-18T04:24:04Z"},{"alias_kind":"arxiv_version","alias_value":"1104.3471v1","created_at":"2026-05-18T04:24:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.3471","created_at":"2026-05-18T04:24:04Z"},{"alias_kind":"pith_short_12","alias_value":"ETEEXQA2UXVN","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"ETEEXQA2UXVNV24J","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"ETEEXQA2","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:b31beaf56f23bbd411d3ad5b12ce32a3df990c0693fa248170b8d896d1ede096","target":"graph","created_at":"2026-05-18T04:24:04Z","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 examine locally compact normal spaces in models of form PFA(S)[S], in particular characterizing paracompact, countably tight ones as those which include no perfect pre-image of omega_1 and in which all separable closed subspaces are Lindelof.","authors_text":"Franklin D. Tall","cross_cats":["math.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2011-04-18T13:09:32Z","title":"PFA(S)[S] and Locally Compact Normal Spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.3471","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":"sha256:60cc27a03ee5f9d5f237f60ca889dae0beab9cf5cf9d05af0449bbe0d0bcab49","target":"record","created_at":"2026-05-18T04:24:04Z","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":"d7c13fe36d87556cdbc7bc518a69cf810a4336bd21d33502baeccd4d3ff686a5","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2011-04-18T13:09:32Z","title_canon_sha256":"4dd336cc1e0a28a4e4cd55d0d082cfdbcd194b36189c31c5f1551aaff5e79d09"},"schema_version":"1.0","source":{"id":"1104.3471","kind":"arxiv","version":1}},"canonical_sha256":"24c84bc01aa5eadaeb89c5f8ef80c09801444fae15103aeddbb776372ca18f83","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24c84bc01aa5eadaeb89c5f8ef80c09801444fae15103aeddbb776372ca18f83","first_computed_at":"2026-05-18T04:24:04.987869Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:04.987869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ELZ4TnyOALITRNXJ78u9sBwvHCFDXgNdFaEBBq/4z/vyS/R4L4mtbFTDJ//2yEBPUmVd+/XwInwLnb2fjBZxAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:04.988380Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.3471","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:60cc27a03ee5f9d5f237f60ca889dae0beab9cf5cf9d05af0449bbe0d0bcab49","sha256:b31beaf56f23bbd411d3ad5b12ce32a3df990c0693fa248170b8d896d1ede096"],"state_sha256":"50ce76e4ca0982003b469450c39b177eb22e8270e308978f67b4960cd486adda"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jHQfwhfZO+LjVEGUqdAsEMKCqBeqQ9zMtmZnO8wwC68ILlxgxeKaBVNM9Y6CGe7walDt6jZU6F8Muf3RBi+xAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T13:51:35.625601Z","bundle_sha256":"2272520906b3e9d9f1c9510ac810067de89b8c5dd6e9f4e54858ad053f9b1efa"}}