{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:ZTAHPP5OEHU5QPHLXCPMZZS52J","short_pith_number":"pith:ZTAHPP5O","canonical_record":{"source":{"id":"1407.1068","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-07-03T21:38:23Z","cross_cats_sorted":[],"title_canon_sha256":"9248fe299032cbd9dbba20416d6ef8567a2c116d11236347a5cc641caf6931c3","abstract_canon_sha256":"9e841aba34a103e5c6102beccae76955161247b664c75b4e20896ff16af89a7d"},"schema_version":"1.0"},"canonical_sha256":"ccc077bfae21e9d83cebb89ecce65dd24aba7461cda2de7e088a9f3abb17765d","source":{"kind":"arxiv","id":"1407.1068","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.1068","created_at":"2026-05-18T00:15:53Z"},{"alias_kind":"arxiv_version","alias_value":"1407.1068v2","created_at":"2026-05-18T00:15:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.1068","created_at":"2026-05-18T00:15:53Z"},{"alias_kind":"pith_short_12","alias_value":"ZTAHPP5OEHU5","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZTAHPP5OEHU5QPHL","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZTAHPP5O","created_at":"2026-05-18T12:28:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:ZTAHPP5OEHU5QPHLXCPMZZS52J","target":"record","payload":{"canonical_record":{"source":{"id":"1407.1068","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-07-03T21:38:23Z","cross_cats_sorted":[],"title_canon_sha256":"9248fe299032cbd9dbba20416d6ef8567a2c116d11236347a5cc641caf6931c3","abstract_canon_sha256":"9e841aba34a103e5c6102beccae76955161247b664c75b4e20896ff16af89a7d"},"schema_version":"1.0"},"canonical_sha256":"ccc077bfae21e9d83cebb89ecce65dd24aba7461cda2de7e088a9f3abb17765d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:53.047547Z","signature_b64":"xKKdy+n/TRGCP0HFp0+drI141WuJf5C40d3e1yI39Fl0qz95uW0dv6Ot7yMiwnvPfL39t3LQU4m7a7jWjIpADw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ccc077bfae21e9d83cebb89ecce65dd24aba7461cda2de7e088a9f3abb17765d","last_reissued_at":"2026-05-18T00:15:53.046767Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:53.046767Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.1068","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:15:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U3REmizvAtoNx9VC5qga23Xem7JSeCSYmAEPAghro6XLXDJslO+OIHH8NpE54s4ST73L+wMiiVhLJ8hkO05eAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T21:51:50.973840Z"},"content_sha256":"20be939b0210081415504c3f8df5563a9435bceb91830ae5a5cad5d88602c93b","schema_version":"1.0","event_id":"sha256:20be939b0210081415504c3f8df5563a9435bceb91830ae5a5cad5d88602c93b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:ZTAHPP5OEHU5QPHLXCPMZZS52J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The rational field is not universally definable in pseudo-exponentiation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Jonathan Kirby","submitted_at":"2014-07-03T21:38:23Z","abstract_excerpt":"We show that the field of rational numbers is not definable by a universal formula in Zilber's pseudo-exponential field."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.1068","kind":"arxiv","version":2},"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":"2026-05-18T00:15:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QqHG2koa2h6DfIaz2J+g7DZDThCeSlLZGtlbVyW57nEQxU/M44oeZ0cg3kjmEyDsEYbJWJT5ws1k2byfycUnAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T21:51:50.974182Z"},"content_sha256":"5270236a523a563b9ff50a34b6cc02308aa41b7cb87cc35380b94aa1976e8e3a","schema_version":"1.0","event_id":"sha256:5270236a523a563b9ff50a34b6cc02308aa41b7cb87cc35380b94aa1976e8e3a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZTAHPP5OEHU5QPHLXCPMZZS52J/bundle.json","state_url":"https://pith.science/pith/ZTAHPP5OEHU5QPHLXCPMZZS52J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZTAHPP5OEHU5QPHLXCPMZZS52J/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":"2026-06-04T21:51:50Z","links":{"resolver":"https://pith.science/pith/ZTAHPP5OEHU5QPHLXCPMZZS52J","bundle":"https://pith.science/pith/ZTAHPP5OEHU5QPHLXCPMZZS52J/bundle.json","state":"https://pith.science/pith/ZTAHPP5OEHU5QPHLXCPMZZS52J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZTAHPP5OEHU5QPHLXCPMZZS52J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ZTAHPP5OEHU5QPHLXCPMZZS52J","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":"9e841aba34a103e5c6102beccae76955161247b664c75b4e20896ff16af89a7d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-07-03T21:38:23Z","title_canon_sha256":"9248fe299032cbd9dbba20416d6ef8567a2c116d11236347a5cc641caf6931c3"},"schema_version":"1.0","source":{"id":"1407.1068","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.1068","created_at":"2026-05-18T00:15:53Z"},{"alias_kind":"arxiv_version","alias_value":"1407.1068v2","created_at":"2026-05-18T00:15:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.1068","created_at":"2026-05-18T00:15:53Z"},{"alias_kind":"pith_short_12","alias_value":"ZTAHPP5OEHU5","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZTAHPP5OEHU5QPHL","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZTAHPP5O","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:5270236a523a563b9ff50a34b6cc02308aa41b7cb87cc35380b94aa1976e8e3a","target":"graph","created_at":"2026-05-18T00:15:53Z","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 show that the field of rational numbers is not definable by a universal formula in Zilber's pseudo-exponential field.","authors_text":"Jonathan Kirby","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-07-03T21:38:23Z","title":"The rational field is not universally definable in pseudo-exponentiation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.1068","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":"sha256:20be939b0210081415504c3f8df5563a9435bceb91830ae5a5cad5d88602c93b","target":"record","created_at":"2026-05-18T00:15:53Z","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":"9e841aba34a103e5c6102beccae76955161247b664c75b4e20896ff16af89a7d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-07-03T21:38:23Z","title_canon_sha256":"9248fe299032cbd9dbba20416d6ef8567a2c116d11236347a5cc641caf6931c3"},"schema_version":"1.0","source":{"id":"1407.1068","kind":"arxiv","version":2}},"canonical_sha256":"ccc077bfae21e9d83cebb89ecce65dd24aba7461cda2de7e088a9f3abb17765d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ccc077bfae21e9d83cebb89ecce65dd24aba7461cda2de7e088a9f3abb17765d","first_computed_at":"2026-05-18T00:15:53.046767Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:53.046767Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xKKdy+n/TRGCP0HFp0+drI141WuJf5C40d3e1yI39Fl0qz95uW0dv6Ot7yMiwnvPfL39t3LQU4m7a7jWjIpADw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:53.047547Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.1068","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:20be939b0210081415504c3f8df5563a9435bceb91830ae5a5cad5d88602c93b","sha256:5270236a523a563b9ff50a34b6cc02308aa41b7cb87cc35380b94aa1976e8e3a"],"state_sha256":"80e15c7be69949298bc109c98a0082cf8fafbea365066520a28da93b8c3722e9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VSmQAUZG0zSEM+h80RSPA2HN6yGZ8adP3ERXOghUjs/QMqUtm077fwkw5emo72JwDt4TwBswsK6zBU1oFK50DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T21:51:50.976606Z","bundle_sha256":"20154be0b8daeba54e31691b81690710316750f222afb08abe20d10a09e65d3a"}}