{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:E7GO5EAXKI7DYOFFCZACPXUYMB","short_pith_number":"pith:E7GO5EAX","canonical_record":{"source":{"id":"1003.3502","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-03-18T03:00:40Z","cross_cats_sorted":[],"title_canon_sha256":"f043fcac00b3a5faef3e65607b2743b0fd2f57dbf7ba2a9cc611be1d4f4c085d","abstract_canon_sha256":"ad361cb140233a37b53d5196bfe49be4d1a1b672d6ffa54bf67c61fd1f28df96"},"schema_version":"1.0"},"canonical_sha256":"27ccee9017523e3c38a5164027de986040f19198d2fc53b622fa73268134253a","source":{"kind":"arxiv","id":"1003.3502","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.3502","created_at":"2026-05-18T02:44:32Z"},{"alias_kind":"arxiv_version","alias_value":"1003.3502v4","created_at":"2026-05-18T02:44:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.3502","created_at":"2026-05-18T02:44:32Z"},{"alias_kind":"pith_short_12","alias_value":"E7GO5EAXKI7D","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"E7GO5EAXKI7DYOFF","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"E7GO5EAX","created_at":"2026-05-18T12:26:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:E7GO5EAXKI7DYOFFCZACPXUYMB","target":"record","payload":{"canonical_record":{"source":{"id":"1003.3502","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-03-18T03:00:40Z","cross_cats_sorted":[],"title_canon_sha256":"f043fcac00b3a5faef3e65607b2743b0fd2f57dbf7ba2a9cc611be1d4f4c085d","abstract_canon_sha256":"ad361cb140233a37b53d5196bfe49be4d1a1b672d6ffa54bf67c61fd1f28df96"},"schema_version":"1.0"},"canonical_sha256":"27ccee9017523e3c38a5164027de986040f19198d2fc53b622fa73268134253a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:32.782199Z","signature_b64":"meyPw/JQhMywzeNRREoFoayMgDAxS+0WH15EM3roYMLdmYaQU0tYMMRmSaNcebKeYacXOwKoL+fHPx5ZmDT5Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"27ccee9017523e3c38a5164027de986040f19198d2fc53b622fa73268134253a","last_reissued_at":"2026-05-18T02:44:32.781748Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:32.781748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1003.3502","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:44:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K7KmNIq8KJsQ10pYVLCEri5FnVjU7yP0caug7FQSJh+lkq6IwSSKf83U3K2ZAXmBElEClFIb8gZ5wA00rWEjCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T23:35:49.748877Z"},"content_sha256":"4dcf44e1d7005d2d0f5d653e97c9f8414d54e24ce42d018ec6da571e6b508cc4","schema_version":"1.0","event_id":"sha256:4dcf44e1d7005d2d0f5d653e97c9f8414d54e24ce42d018ec6da571e6b508cc4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:E7GO5EAXKI7DYOFFCZACPXUYMB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Weak Approximation for Isotrivial Families","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Hong R. Zong, Zhiyu Tian","submitted_at":"2010-03-18T03:00:40Z","abstract_excerpt":"We prove weak approximation for isotrivial families of rationally connected varieties defined over the function field of a smooth projective complex curve."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.3502","kind":"arxiv","version":4},"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":"2026-05-18T02:44:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9TkH7Xbki+tXUx4juWfJAe4zFunntvJLrotDZRRddXPdn7RuZJryI1suEd9W33USG5kgwqejbHQyGJIau4JEBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T23:35:49.749207Z"},"content_sha256":"b94bafae432937d633c68410a1b11a06be53851f0b7657d73f7325b75ebcfaaf","schema_version":"1.0","event_id":"sha256:b94bafae432937d633c68410a1b11a06be53851f0b7657d73f7325b75ebcfaaf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E7GO5EAXKI7DYOFFCZACPXUYMB/bundle.json","state_url":"https://pith.science/pith/E7GO5EAXKI7DYOFFCZACPXUYMB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E7GO5EAXKI7DYOFFCZACPXUYMB/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":"2026-06-26T23:35:49Z","links":{"resolver":"https://pith.science/pith/E7GO5EAXKI7DYOFFCZACPXUYMB","bundle":"https://pith.science/pith/E7GO5EAXKI7DYOFFCZACPXUYMB/bundle.json","state":"https://pith.science/pith/E7GO5EAXKI7DYOFFCZACPXUYMB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E7GO5EAXKI7DYOFFCZACPXUYMB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:E7GO5EAXKI7DYOFFCZACPXUYMB","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":"ad361cb140233a37b53d5196bfe49be4d1a1b672d6ffa54bf67c61fd1f28df96","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-03-18T03:00:40Z","title_canon_sha256":"f043fcac00b3a5faef3e65607b2743b0fd2f57dbf7ba2a9cc611be1d4f4c085d"},"schema_version":"1.0","source":{"id":"1003.3502","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.3502","created_at":"2026-05-18T02:44:32Z"},{"alias_kind":"arxiv_version","alias_value":"1003.3502v4","created_at":"2026-05-18T02:44:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.3502","created_at":"2026-05-18T02:44:32Z"},{"alias_kind":"pith_short_12","alias_value":"E7GO5EAXKI7D","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"E7GO5EAXKI7DYOFF","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"E7GO5EAX","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:b94bafae432937d633c68410a1b11a06be53851f0b7657d73f7325b75ebcfaaf","target":"graph","created_at":"2026-05-18T02:44:32Z","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 prove weak approximation for isotrivial families of rationally connected varieties defined over the function field of a smooth projective complex curve.","authors_text":"Hong R. Zong, Zhiyu Tian","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-03-18T03:00:40Z","title":"Weak Approximation for Isotrivial Families"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.3502","kind":"arxiv","version":4},"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":"sha256:4dcf44e1d7005d2d0f5d653e97c9f8414d54e24ce42d018ec6da571e6b508cc4","target":"record","created_at":"2026-05-18T02:44:32Z","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":"ad361cb140233a37b53d5196bfe49be4d1a1b672d6ffa54bf67c61fd1f28df96","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-03-18T03:00:40Z","title_canon_sha256":"f043fcac00b3a5faef3e65607b2743b0fd2f57dbf7ba2a9cc611be1d4f4c085d"},"schema_version":"1.0","source":{"id":"1003.3502","kind":"arxiv","version":4}},"canonical_sha256":"27ccee9017523e3c38a5164027de986040f19198d2fc53b622fa73268134253a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"27ccee9017523e3c38a5164027de986040f19198d2fc53b622fa73268134253a","first_computed_at":"2026-05-18T02:44:32.781748Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:32.781748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"meyPw/JQhMywzeNRREoFoayMgDAxS+0WH15EM3roYMLdmYaQU0tYMMRmSaNcebKeYacXOwKoL+fHPx5ZmDT5Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:32.782199Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.3502","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4dcf44e1d7005d2d0f5d653e97c9f8414d54e24ce42d018ec6da571e6b508cc4","sha256:b94bafae432937d633c68410a1b11a06be53851f0b7657d73f7325b75ebcfaaf"],"state_sha256":"c470c3e042fc821d648755a591a6471746ed6ae48df2a42de654de8758af5a5b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KvLFWVLGjqEYDnymdMD8qQn2Tr/j5Rh0hu2HUwGibmh4d/KDGg4Hx1VtF07i4LxAb13jj0eBcl9yNjmNidpzCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T23:35:49.751037Z","bundle_sha256":"66e49f8821bd59d37cf4477a8f6ce1ff25dcd1dda47674ba7bdf2248251b6270"}}