{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:YXUV7E5Q3YU2PRC2PCOSHNM5NK","short_pith_number":"pith:YXUV7E5Q","canonical_record":{"source":{"id":"1303.0730","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2013-03-04T15:27:37Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"3cd4be9b16756146f232c2b0aa3d4e86ee7e17ae55b059c0bb8e578c1b69d8df","abstract_canon_sha256":"af6b616f931d595f8f6f83a852799178ff627679ecd768e5a555a747858e9dd6"},"schema_version":"1.0"},"canonical_sha256":"c5e95f93b0de29a7c45a789d23b59d6ab4069dcf4138907491e65107c084e052","source":{"kind":"arxiv","id":"1303.0730","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.0730","created_at":"2026-05-17T23:41:57Z"},{"alias_kind":"arxiv_version","alias_value":"1303.0730v5","created_at":"2026-05-17T23:41:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.0730","created_at":"2026-05-17T23:41:57Z"},{"alias_kind":"pith_short_12","alias_value":"YXUV7E5Q3YU2","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"YXUV7E5Q3YU2PRC2","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"YXUV7E5Q","created_at":"2026-05-18T12:28:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:YXUV7E5Q3YU2PRC2PCOSHNM5NK","target":"record","payload":{"canonical_record":{"source":{"id":"1303.0730","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2013-03-04T15:27:37Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"3cd4be9b16756146f232c2b0aa3d4e86ee7e17ae55b059c0bb8e578c1b69d8df","abstract_canon_sha256":"af6b616f931d595f8f6f83a852799178ff627679ecd768e5a555a747858e9dd6"},"schema_version":"1.0"},"canonical_sha256":"c5e95f93b0de29a7c45a789d23b59d6ab4069dcf4138907491e65107c084e052","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:57.116495Z","signature_b64":"ZOnCQM6vtQwVsYke2y6f6c/O2sPELnUkqBOsjGqpZYrsyhTBofmw5cBaoVMKXdyL/ir8Z3Z3MP/2YGC4+hvSDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c5e95f93b0de29a7c45a789d23b59d6ab4069dcf4138907491e65107c084e052","last_reissued_at":"2026-05-17T23:41:57.115856Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:57.115856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.0730","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:41:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4l7/FXWZORkUJxTgTwI7Yhms4roXmKS9Kx5S2ZGfVZr74sikqJfV/lIASF5tr1YDC1Rps28wM2H/3XJl4QUHAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T11:51:49.759262Z"},"content_sha256":"9802300db2fcecb978d44dc08d0b55c840e3f2cc1a6c565b9776847a2d6e6acd","schema_version":"1.0","event_id":"sha256:9802300db2fcecb978d44dc08d0b55c840e3f2cc1a6c565b9776847a2d6e6acd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:YXUV7E5Q3YU2PRC2PCOSHNM5NK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Diagonalizing by Fixed-Points","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LO"],"primary_cat":"math.LO","authors_text":"Ahmad Karimi, Saeed Salehi","submitted_at":"2013-03-04T15:27:37Z","abstract_excerpt":"A universal schema for diagonalization was popularized by N. S. Yanofsky (2003) in which the existence of a (diagonolized-out and contradictory) object implies the existence of a fixed-point for a certain function. It was shown that many self-referential paradoxes and diagonally proved theorems can fit in that schema. Here, we fit more theorems in the universal schema of diagonalization, such as Euclid's theorem on the infinitude of the primes and new proofs of Boolos (1997) for Cantor's theorem on the non-equinumerosity of a set with its powerset. Then, in Linear Temporal Logic, we show the n"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.0730","kind":"arxiv","version":5},"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":"2026-05-17T23:41:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6H8IvFKXjobRxNLKqzq0kAwMH10zgDA3xEqZH4hLpVwm2iS4MMx6KzSzSoOmWylnknQe070j6ZOTichXWNU0Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T11:51:49.759620Z"},"content_sha256":"9fb5e0c8687234090b4f4f841cc3c354b6b5ef92c01d35edc3572e710d3e294e","schema_version":"1.0","event_id":"sha256:9fb5e0c8687234090b4f4f841cc3c354b6b5ef92c01d35edc3572e710d3e294e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YXUV7E5Q3YU2PRC2PCOSHNM5NK/bundle.json","state_url":"https://pith.science/pith/YXUV7E5Q3YU2PRC2PCOSHNM5NK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YXUV7E5Q3YU2PRC2PCOSHNM5NK/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":"2026-06-26T11:51:49Z","links":{"resolver":"https://pith.science/pith/YXUV7E5Q3YU2PRC2PCOSHNM5NK","bundle":"https://pith.science/pith/YXUV7E5Q3YU2PRC2PCOSHNM5NK/bundle.json","state":"https://pith.science/pith/YXUV7E5Q3YU2PRC2PCOSHNM5NK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YXUV7E5Q3YU2PRC2PCOSHNM5NK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:YXUV7E5Q3YU2PRC2PCOSHNM5NK","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":"af6b616f931d595f8f6f83a852799178ff627679ecd768e5a555a747858e9dd6","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2013-03-04T15:27:37Z","title_canon_sha256":"3cd4be9b16756146f232c2b0aa3d4e86ee7e17ae55b059c0bb8e578c1b69d8df"},"schema_version":"1.0","source":{"id":"1303.0730","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.0730","created_at":"2026-05-17T23:41:57Z"},{"alias_kind":"arxiv_version","alias_value":"1303.0730v5","created_at":"2026-05-17T23:41:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.0730","created_at":"2026-05-17T23:41:57Z"},{"alias_kind":"pith_short_12","alias_value":"YXUV7E5Q3YU2","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"YXUV7E5Q3YU2PRC2","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"YXUV7E5Q","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:9fb5e0c8687234090b4f4f841cc3c354b6b5ef92c01d35edc3572e710d3e294e","target":"graph","created_at":"2026-05-17T23:41:57Z","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":"A universal schema for diagonalization was popularized by N. S. Yanofsky (2003) in which the existence of a (diagonolized-out and contradictory) object implies the existence of a fixed-point for a certain function. It was shown that many self-referential paradoxes and diagonally proved theorems can fit in that schema. Here, we fit more theorems in the universal schema of diagonalization, such as Euclid's theorem on the infinitude of the primes and new proofs of Boolos (1997) for Cantor's theorem on the non-equinumerosity of a set with its powerset. Then, in Linear Temporal Logic, we show the n","authors_text":"Ahmad Karimi, Saeed Salehi","cross_cats":["cs.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2013-03-04T15:27:37Z","title":"Diagonalizing by Fixed-Points"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.0730","kind":"arxiv","version":5},"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":"sha256:9802300db2fcecb978d44dc08d0b55c840e3f2cc1a6c565b9776847a2d6e6acd","target":"record","created_at":"2026-05-17T23:41:57Z","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":"af6b616f931d595f8f6f83a852799178ff627679ecd768e5a555a747858e9dd6","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2013-03-04T15:27:37Z","title_canon_sha256":"3cd4be9b16756146f232c2b0aa3d4e86ee7e17ae55b059c0bb8e578c1b69d8df"},"schema_version":"1.0","source":{"id":"1303.0730","kind":"arxiv","version":5}},"canonical_sha256":"c5e95f93b0de29a7c45a789d23b59d6ab4069dcf4138907491e65107c084e052","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c5e95f93b0de29a7c45a789d23b59d6ab4069dcf4138907491e65107c084e052","first_computed_at":"2026-05-17T23:41:57.115856Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:57.115856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZOnCQM6vtQwVsYke2y6f6c/O2sPELnUkqBOsjGqpZYrsyhTBofmw5cBaoVMKXdyL/ir8Z3Z3MP/2YGC4+hvSDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:57.116495Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.0730","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9802300db2fcecb978d44dc08d0b55c840e3f2cc1a6c565b9776847a2d6e6acd","sha256:9fb5e0c8687234090b4f4f841cc3c354b6b5ef92c01d35edc3572e710d3e294e"],"state_sha256":"e2e86f65f3b02bed2bace8470662dcb861a89ce382c578cf23eac0dea27cb7d2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cFEyVG3Pwk3lx792N4hCXDL+3fC5aB8PdgUy1B9kPUC2lJduVGovKy19bKq9V/JznVb/AAYZD1SSrRb2ex//DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T11:51:49.761480Z","bundle_sha256":"3e69fd5b5895e77a50fa780afcb87b34725a45fa8794cd3eb1dee2cb51605494"}}