{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:HD4QUIWE2C7YBENEQZMGUPJSS3","short_pith_number":"pith:HD4QUIWE","canonical_record":{"source":{"id":"2507.04012","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-07-05T11:49:03Z","cross_cats_sorted":[],"title_canon_sha256":"0a46e1706a42e4846464af07e45e9cdf357aeb66ba0730dc7a3c1b570e001d1c","abstract_canon_sha256":"a8a4c1c33be732461d97254fe69b9aa9a1c544b3f1f494caf656fa654312a456"},"schema_version":"1.0"},"canonical_sha256":"38f90a22c4d0bf8091a486586a3d3296fbd1071366b7e32b20bf2b3f4dd4823a","source":{"kind":"arxiv","id":"2507.04012","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.04012","created_at":"2026-07-05T11:32:40Z"},{"alias_kind":"arxiv_version","alias_value":"2507.04012v1","created_at":"2026-07-05T11:32:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.04012","created_at":"2026-07-05T11:32:40Z"},{"alias_kind":"pith_short_12","alias_value":"HD4QUIWE2C7Y","created_at":"2026-07-05T11:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"HD4QUIWE2C7YBENE","created_at":"2026-07-05T11:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"HD4QUIWE","created_at":"2026-07-05T11:32:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:HD4QUIWE2C7YBENEQZMGUPJSS3","target":"record","payload":{"canonical_record":{"source":{"id":"2507.04012","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-07-05T11:49:03Z","cross_cats_sorted":[],"title_canon_sha256":"0a46e1706a42e4846464af07e45e9cdf357aeb66ba0730dc7a3c1b570e001d1c","abstract_canon_sha256":"a8a4c1c33be732461d97254fe69b9aa9a1c544b3f1f494caf656fa654312a456"},"schema_version":"1.0"},"canonical_sha256":"38f90a22c4d0bf8091a486586a3d3296fbd1071366b7e32b20bf2b3f4dd4823a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:32:40.809909Z","signature_b64":"9C2qpQ8KG/SyxWUFOoPBm8PIP0XfWn88meTBaIjJvrSyCMOGkKwg5ggvh7PaXfEonnK3d6XsLWVxiqde6RA8DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"38f90a22c4d0bf8091a486586a3d3296fbd1071366b7e32b20bf2b3f4dd4823a","last_reissued_at":"2026-07-05T11:32:40.809398Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:32:40.809398Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.04012","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":"2026-07-05T11:32:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/fxJSVf9K0o1vh8Ak9OdXSBbwWbmb9Tcp7V0VRZoFI+y5suB47fTwhRap1ClIzUHB0jSfDHR0uDFSvGKUSq7AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T09:32:47.963375Z"},"content_sha256":"6934264f6c6c4fbad88c70e0568218790eece1ac4c38bfdb7f9c5b5d61c2cae0","schema_version":"1.0","event_id":"sha256:6934264f6c6c4fbad88c70e0568218790eece1ac4c38bfdb7f9c5b5d61c2cae0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:HD4QUIWE2C7YBENEQZMGUPJSS3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A rationality criterion for real Fano threefolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Andrea Fanelli, Fr\\'ed\\'eric Mangolte","submitted_at":"2025-07-05T11:49:03Z","abstract_excerpt":"We study the connectedness of the real locus of smooth geometrically rational Fano threefolds and prove a sufficient criterion of $\\mathbb{R}$-rationality."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.04012","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2507.04012/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T11:32:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vG7O4btu6NUg8oPvfasezsbJ9wOb+ffl9cp2XTxjqsA2IvPk+5eoDXQm7xQyaZSInI1nLDUcrFICjzXV+DEmAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T09:32:47.963865Z"},"content_sha256":"33b24356462157231f1819e394edc22319b3ffc759ff21db5a77c286b251b507","schema_version":"1.0","event_id":"sha256:33b24356462157231f1819e394edc22319b3ffc759ff21db5a77c286b251b507"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HD4QUIWE2C7YBENEQZMGUPJSS3/bundle.json","state_url":"https://pith.science/pith/HD4QUIWE2C7YBENEQZMGUPJSS3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HD4QUIWE2C7YBENEQZMGUPJSS3/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":"2026-08-08T09:32:47Z","links":{"resolver":"https://pith.science/pith/HD4QUIWE2C7YBENEQZMGUPJSS3","bundle":"https://pith.science/pith/HD4QUIWE2C7YBENEQZMGUPJSS3/bundle.json","state":"https://pith.science/pith/HD4QUIWE2C7YBENEQZMGUPJSS3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HD4QUIWE2C7YBENEQZMGUPJSS3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:HD4QUIWE2C7YBENEQZMGUPJSS3","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":"a8a4c1c33be732461d97254fe69b9aa9a1c544b3f1f494caf656fa654312a456","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-07-05T11:49:03Z","title_canon_sha256":"0a46e1706a42e4846464af07e45e9cdf357aeb66ba0730dc7a3c1b570e001d1c"},"schema_version":"1.0","source":{"id":"2507.04012","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.04012","created_at":"2026-07-05T11:32:40Z"},{"alias_kind":"arxiv_version","alias_value":"2507.04012v1","created_at":"2026-07-05T11:32:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.04012","created_at":"2026-07-05T11:32:40Z"},{"alias_kind":"pith_short_12","alias_value":"HD4QUIWE2C7Y","created_at":"2026-07-05T11:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"HD4QUIWE2C7YBENE","created_at":"2026-07-05T11:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"HD4QUIWE","created_at":"2026-07-05T11:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:33b24356462157231f1819e394edc22319b3ffc759ff21db5a77c286b251b507","target":"graph","created_at":"2026-07-05T11:32:40Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2507.04012/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the connectedness of the real locus of smooth geometrically rational Fano threefolds and prove a sufficient criterion of $\\mathbb{R}$-rationality.","authors_text":"Andrea Fanelli, Fr\\'ed\\'eric Mangolte","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-07-05T11:49:03Z","title":"A rationality criterion for real Fano threefolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.04012","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":"sha256:6934264f6c6c4fbad88c70e0568218790eece1ac4c38bfdb7f9c5b5d61c2cae0","target":"record","created_at":"2026-07-05T11:32:40Z","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":"a8a4c1c33be732461d97254fe69b9aa9a1c544b3f1f494caf656fa654312a456","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-07-05T11:49:03Z","title_canon_sha256":"0a46e1706a42e4846464af07e45e9cdf357aeb66ba0730dc7a3c1b570e001d1c"},"schema_version":"1.0","source":{"id":"2507.04012","kind":"arxiv","version":1}},"canonical_sha256":"38f90a22c4d0bf8091a486586a3d3296fbd1071366b7e32b20bf2b3f4dd4823a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"38f90a22c4d0bf8091a486586a3d3296fbd1071366b7e32b20bf2b3f4dd4823a","first_computed_at":"2026-07-05T11:32:40.809398Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:32:40.809398Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9C2qpQ8KG/SyxWUFOoPBm8PIP0XfWn88meTBaIjJvrSyCMOGkKwg5ggvh7PaXfEonnK3d6XsLWVxiqde6RA8DA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:32:40.809909Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.04012","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6934264f6c6c4fbad88c70e0568218790eece1ac4c38bfdb7f9c5b5d61c2cae0","sha256:33b24356462157231f1819e394edc22319b3ffc759ff21db5a77c286b251b507"],"state_sha256":"953bd2e0d7ff948be8bca3aae4cd8ad02f2f744085dd06116b46edf9fa87054d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rHmC+BGGjHk3fPw1b6T35zv5QerWjA5LTGKkfMaDT0b/clASpm29BxNDd8/u6UqnzKNf31thK1nTG/lfBc/GCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T09:32:47.967442Z","bundle_sha256":"b0003ab7ba67a7aeb3b4d26de583099c52f305cded287ffaca158023c5d322d5"}}