{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:RXNXD2NL4R7R4HSRJLCTXM25I5","short_pith_number":"pith:RXNXD2NL","canonical_record":{"source":{"id":"1611.03248","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-11-10T10:44:07Z","cross_cats_sorted":[],"title_canon_sha256":"45aae3a4e66e4f36bfc40b06ab287d6d678d8d9579a4c0b6d9db609532552fae","abstract_canon_sha256":"482f41cabc20a27f27fedde5f836efb8a19f4f615bbbf26f17bd8b54b1a294a3"},"schema_version":"1.0"},"canonical_sha256":"8ddb71e9abe47f1e1e514ac53bb35d4765b43d91ee763985d4a23c95775a83b7","source":{"kind":"arxiv","id":"1611.03248","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.03248","created_at":"2026-05-18T00:59:40Z"},{"alias_kind":"arxiv_version","alias_value":"1611.03248v1","created_at":"2026-05-18T00:59:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.03248","created_at":"2026-05-18T00:59:40Z"},{"alias_kind":"pith_short_12","alias_value":"RXNXD2NL4R7R","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RXNXD2NL4R7R4HSR","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RXNXD2NL","created_at":"2026-05-18T12:30:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:RXNXD2NL4R7R4HSRJLCTXM25I5","target":"record","payload":{"canonical_record":{"source":{"id":"1611.03248","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-11-10T10:44:07Z","cross_cats_sorted":[],"title_canon_sha256":"45aae3a4e66e4f36bfc40b06ab287d6d678d8d9579a4c0b6d9db609532552fae","abstract_canon_sha256":"482f41cabc20a27f27fedde5f836efb8a19f4f615bbbf26f17bd8b54b1a294a3"},"schema_version":"1.0"},"canonical_sha256":"8ddb71e9abe47f1e1e514ac53bb35d4765b43d91ee763985d4a23c95775a83b7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:59:40.851760Z","signature_b64":"l2p6XquXHHHwt5pJd7qw9+OUASbmg8hNua7zybBdWf82q9rw/Nwb3KKZU9opL7KsrL3idW3dOWCHP5Qs4Gb8DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8ddb71e9abe47f1e1e514ac53bb35d4765b43d91ee763985d4a23c95775a83b7","last_reissued_at":"2026-05-18T00:59:40.851044Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:59:40.851044Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.03248","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":"2026-05-18T00:59:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v65DqLOZGOa5PUEisZcaqrVU40ItQe83JIKFtJyz55AT/pxBNHlFoMMG83Rwhdy7h0TV5Ded4hul+hJSpfnGBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T17:04:58.430713Z"},"content_sha256":"d2d7e1b5647254434c7c3f315379adb255b7ce21d46f7e12634dd5d126a5c0ab","schema_version":"1.0","event_id":"sha256:d2d7e1b5647254434c7c3f315379adb255b7ce21d46f7e12634dd5d126a5c0ab"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:RXNXD2NL4R7R4HSRJLCTXM25I5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Affine lines in the complement of a smooth plane conic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Adrien Dubouloz (IMB), Julie Decaup (IMT)","submitted_at":"2016-11-10T10:44:07Z","abstract_excerpt":"We classify closed curves isomorphic to the affine line in the complement of a smooth rational projective plane conic Q. Over a field of characteristic zero, we show that up to the action of the subgroup of the Cremona group of the plane consisting of birational endomorphisms restricting to biregular auto-morphisms outside Q, there are exactly two such lines: the restriction of a smooth conic osculating Q at a rational point and the restriction of the tangent line to Q at a rational point. In contrast, we give examples illustrating the fact that over fields of positive characteristic, there ex"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.03248","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":"2026-05-18T00:59:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nib8cOVJqllDVkXzKxIUADCM7TiHH4mKY6wa5lcz0KUbXPksUzS2Xdb6S1uQfV5bFK4fYWQp1NX9m2sYPvy1BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T17:04:58.431392Z"},"content_sha256":"fac28b003523a15f069abb0f47afbf05c1537bb4bcfd73b1b4cfa4cb594a5378","schema_version":"1.0","event_id":"sha256:fac28b003523a15f069abb0f47afbf05c1537bb4bcfd73b1b4cfa4cb594a5378"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RXNXD2NL4R7R4HSRJLCTXM25I5/bundle.json","state_url":"https://pith.science/pith/RXNXD2NL4R7R4HSRJLCTXM25I5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RXNXD2NL4R7R4HSRJLCTXM25I5/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":"2026-05-26T17:04:58Z","links":{"resolver":"https://pith.science/pith/RXNXD2NL4R7R4HSRJLCTXM25I5","bundle":"https://pith.science/pith/RXNXD2NL4R7R4HSRJLCTXM25I5/bundle.json","state":"https://pith.science/pith/RXNXD2NL4R7R4HSRJLCTXM25I5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RXNXD2NL4R7R4HSRJLCTXM25I5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:RXNXD2NL4R7R4HSRJLCTXM25I5","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":"482f41cabc20a27f27fedde5f836efb8a19f4f615bbbf26f17bd8b54b1a294a3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-11-10T10:44:07Z","title_canon_sha256":"45aae3a4e66e4f36bfc40b06ab287d6d678d8d9579a4c0b6d9db609532552fae"},"schema_version":"1.0","source":{"id":"1611.03248","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.03248","created_at":"2026-05-18T00:59:40Z"},{"alias_kind":"arxiv_version","alias_value":"1611.03248v1","created_at":"2026-05-18T00:59:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.03248","created_at":"2026-05-18T00:59:40Z"},{"alias_kind":"pith_short_12","alias_value":"RXNXD2NL4R7R","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RXNXD2NL4R7R4HSR","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RXNXD2NL","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:fac28b003523a15f069abb0f47afbf05c1537bb4bcfd73b1b4cfa4cb594a5378","target":"graph","created_at":"2026-05-18T00:59:40Z","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"},"paper":{"abstract_excerpt":"We classify closed curves isomorphic to the affine line in the complement of a smooth rational projective plane conic Q. Over a field of characteristic zero, we show that up to the action of the subgroup of the Cremona group of the plane consisting of birational endomorphisms restricting to biregular auto-morphisms outside Q, there are exactly two such lines: the restriction of a smooth conic osculating Q at a rational point and the restriction of the tangent line to Q at a rational point. In contrast, we give examples illustrating the fact that over fields of positive characteristic, there ex","authors_text":"Adrien Dubouloz (IMB), Julie Decaup (IMT)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-11-10T10:44:07Z","title":"Affine lines in the complement of a smooth plane conic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.03248","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:d2d7e1b5647254434c7c3f315379adb255b7ce21d46f7e12634dd5d126a5c0ab","target":"record","created_at":"2026-05-18T00:59:40Z","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":"482f41cabc20a27f27fedde5f836efb8a19f4f615bbbf26f17bd8b54b1a294a3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-11-10T10:44:07Z","title_canon_sha256":"45aae3a4e66e4f36bfc40b06ab287d6d678d8d9579a4c0b6d9db609532552fae"},"schema_version":"1.0","source":{"id":"1611.03248","kind":"arxiv","version":1}},"canonical_sha256":"8ddb71e9abe47f1e1e514ac53bb35d4765b43d91ee763985d4a23c95775a83b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ddb71e9abe47f1e1e514ac53bb35d4765b43d91ee763985d4a23c95775a83b7","first_computed_at":"2026-05-18T00:59:40.851044Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:59:40.851044Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l2p6XquXHHHwt5pJd7qw9+OUASbmg8hNua7zybBdWf82q9rw/Nwb3KKZU9opL7KsrL3idW3dOWCHP5Qs4Gb8DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:59:40.851760Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.03248","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2d7e1b5647254434c7c3f315379adb255b7ce21d46f7e12634dd5d126a5c0ab","sha256:fac28b003523a15f069abb0f47afbf05c1537bb4bcfd73b1b4cfa4cb594a5378"],"state_sha256":"3c5b52b6b25583dcde651e10bbffbece564c0f0ca8991c2a53625ae8db740885"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VyrraZDKZksT5b83Wp8rRhbGf6kH1ojqQNIHZwkevZTLGU7IVVXAim45sgCcIIY/J6jxfyubJSMpd3PzbiHxAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T17:04:58.434199Z","bundle_sha256":"adb6ec0c5ab2182671fba0ce9d1310f6fa83d36c5030612ad74d7edc54cdd8a7"}}