{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:TFSA2AIKSPY46KTX5UU47NANOH","short_pith_number":"pith:TFSA2AIK","canonical_record":{"source":{"id":"1110.3461","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-10-16T07:13:55Z","cross_cats_sorted":[],"title_canon_sha256":"3c24509da24136436a9a92ce332207e3c7f0f64c2007b41c3b6f18f2892c05c8","abstract_canon_sha256":"c335aa7cc1e0977110979b7a9f1713547d050205241bd9d5e02b1fd1e63ad4d5"},"schema_version":"1.0"},"canonical_sha256":"99640d010a93f1cf2a77ed29cfb40d71f0c71c9436214afe0a418f1cd771d966","source":{"kind":"arxiv","id":"1110.3461","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.3461","created_at":"2026-05-18T04:10:55Z"},{"alias_kind":"arxiv_version","alias_value":"1110.3461v1","created_at":"2026-05-18T04:10:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.3461","created_at":"2026-05-18T04:10:55Z"},{"alias_kind":"pith_short_12","alias_value":"TFSA2AIKSPY4","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TFSA2AIKSPY46KTX","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TFSA2AIK","created_at":"2026-05-18T12:26:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:TFSA2AIKSPY46KTX5UU47NANOH","target":"record","payload":{"canonical_record":{"source":{"id":"1110.3461","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-10-16T07:13:55Z","cross_cats_sorted":[],"title_canon_sha256":"3c24509da24136436a9a92ce332207e3c7f0f64c2007b41c3b6f18f2892c05c8","abstract_canon_sha256":"c335aa7cc1e0977110979b7a9f1713547d050205241bd9d5e02b1fd1e63ad4d5"},"schema_version":"1.0"},"canonical_sha256":"99640d010a93f1cf2a77ed29cfb40d71f0c71c9436214afe0a418f1cd771d966","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:10:55.663446Z","signature_b64":"lG8EfuKWb1ehp1psFe65QrcAvMX9EpEANmJu3jErmo+FewQUa6YenId670E7WIh9CVjDnKyj3YHUgqpZDJOwAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"99640d010a93f1cf2a77ed29cfb40d71f0c71c9436214afe0a418f1cd771d966","last_reissued_at":"2026-05-18T04:10:55.662888Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:10:55.662888Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.3461","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":"2026-05-18T04:10:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kMEOcwmMf7aDbX/NYsDIulB5hR0qnlFv/JNwqpg6TnnVrEOHQpZ5inUALRvgEfBSoBjrv9bZ2CKHaUfvxmKFAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T21:34:11.750647Z"},"content_sha256":"7373a6a9d6642b3e1884c39486e3aefef7d827ba34b5ca746d8cd4a19dceb7bc","schema_version":"1.0","event_id":"sha256:7373a6a9d6642b3e1884c39486e3aefef7d827ba34b5ca746d8cd4a19dceb7bc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:TFSA2AIKSPY46KTX5UU47NANOH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Inconsistency of inaccessibility","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"A. Kiselev","submitted_at":"2011-10-16T07:13:55Z","abstract_excerpt":"The work presents the brief exposition of the proof (in ZF) of inaccessible cardinals nonexistence. To this end in view there is used the apparatus of subinaccessible cardinals and its basic tools -- reduced formula spectra and matrices and matrix functions and others. Much attention is devoted to the explicit and substantial development and cultivation of basic ideas, serving as grounds for all main constructions and reasonings"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.3461","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":"2026-05-18T04:10:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yqbc+gS86W0h53jMye2sESZsBtPLj/3Qok7lA3Zwy0kQkUan/uoPA740Z4SacmH+L4s7oNazd+iJ4g6k1G08Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T21:34:11.750982Z"},"content_sha256":"1536c42ca1524544b3ede63cc0046fb1721cc3f7d561873efa70913a46818e2d","schema_version":"1.0","event_id":"sha256:1536c42ca1524544b3ede63cc0046fb1721cc3f7d561873efa70913a46818e2d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TFSA2AIKSPY46KTX5UU47NANOH/bundle.json","state_url":"https://pith.science/pith/TFSA2AIKSPY46KTX5UU47NANOH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TFSA2AIKSPY46KTX5UU47NANOH/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":"2026-06-01T21:34:11Z","links":{"resolver":"https://pith.science/pith/TFSA2AIKSPY46KTX5UU47NANOH","bundle":"https://pith.science/pith/TFSA2AIKSPY46KTX5UU47NANOH/bundle.json","state":"https://pith.science/pith/TFSA2AIKSPY46KTX5UU47NANOH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TFSA2AIKSPY46KTX5UU47NANOH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:TFSA2AIKSPY46KTX5UU47NANOH","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":"c335aa7cc1e0977110979b7a9f1713547d050205241bd9d5e02b1fd1e63ad4d5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-10-16T07:13:55Z","title_canon_sha256":"3c24509da24136436a9a92ce332207e3c7f0f64c2007b41c3b6f18f2892c05c8"},"schema_version":"1.0","source":{"id":"1110.3461","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.3461","created_at":"2026-05-18T04:10:55Z"},{"alias_kind":"arxiv_version","alias_value":"1110.3461v1","created_at":"2026-05-18T04:10:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.3461","created_at":"2026-05-18T04:10:55Z"},{"alias_kind":"pith_short_12","alias_value":"TFSA2AIKSPY4","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TFSA2AIKSPY46KTX","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TFSA2AIK","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:1536c42ca1524544b3ede63cc0046fb1721cc3f7d561873efa70913a46818e2d","target":"graph","created_at":"2026-05-18T04:10:55Z","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":"The work presents the brief exposition of the proof (in ZF) of inaccessible cardinals nonexistence. To this end in view there is used the apparatus of subinaccessible cardinals and its basic tools -- reduced formula spectra and matrices and matrix functions and others. Much attention is devoted to the explicit and substantial development and cultivation of basic ideas, serving as grounds for all main constructions and reasonings","authors_text":"A. Kiselev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-10-16T07:13:55Z","title":"Inconsistency of inaccessibility"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.3461","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":"sha256:7373a6a9d6642b3e1884c39486e3aefef7d827ba34b5ca746d8cd4a19dceb7bc","target":"record","created_at":"2026-05-18T04:10:55Z","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":"c335aa7cc1e0977110979b7a9f1713547d050205241bd9d5e02b1fd1e63ad4d5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-10-16T07:13:55Z","title_canon_sha256":"3c24509da24136436a9a92ce332207e3c7f0f64c2007b41c3b6f18f2892c05c8"},"schema_version":"1.0","source":{"id":"1110.3461","kind":"arxiv","version":1}},"canonical_sha256":"99640d010a93f1cf2a77ed29cfb40d71f0c71c9436214afe0a418f1cd771d966","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"99640d010a93f1cf2a77ed29cfb40d71f0c71c9436214afe0a418f1cd771d966","first_computed_at":"2026-05-18T04:10:55.662888Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:10:55.662888Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lG8EfuKWb1ehp1psFe65QrcAvMX9EpEANmJu3jErmo+FewQUa6YenId670E7WIh9CVjDnKyj3YHUgqpZDJOwAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:10:55.663446Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.3461","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7373a6a9d6642b3e1884c39486e3aefef7d827ba34b5ca746d8cd4a19dceb7bc","sha256:1536c42ca1524544b3ede63cc0046fb1721cc3f7d561873efa70913a46818e2d"],"state_sha256":"7458992c88e5f34bb3c55aa10511bc50b02396ad0038c2ce530f9141a6d6fa97"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vvznNo51OCdyqFcAroOSq1us5ZFQMYMkQKrHz1bg3Zs0GhVy0lixBVDWkjO/ihcTug3hRffqQISDEBRXH7YrDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T21:34:11.752912Z","bundle_sha256":"58dd00e59bc1a7a065fbcf8467d46cdf9fb26a27083ce693114dd7735e9b261c"}}