{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:U2ESNVIJJ3NHMS62QECMFEXMJV","short_pith_number":"pith:U2ESNVIJ","canonical_record":{"source":{"id":"1003.2358","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-03-11T16:45:23Z","cross_cats_sorted":[],"title_canon_sha256":"0093d2a4be190a226f79a8c4cdc42fb4ee2d5e682c4f79ed16d21af9090668f7","abstract_canon_sha256":"729724fd25389cb875c27b0020d29e50b19d4bfe5f28b49fbfdaca883329e029"},"schema_version":"1.0"},"canonical_sha256":"a68926d5094eda764bda8104c292ec4d7cb433c8f56b7387cf60821d6a7be7e1","source":{"kind":"arxiv","id":"1003.2358","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.2358","created_at":"2026-05-18T04:26:33Z"},{"alias_kind":"arxiv_version","alias_value":"1003.2358v2","created_at":"2026-05-18T04:26:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.2358","created_at":"2026-05-18T04:26:33Z"},{"alias_kind":"pith_short_12","alias_value":"U2ESNVIJJ3NH","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"U2ESNVIJJ3NHMS62","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"U2ESNVIJ","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:U2ESNVIJJ3NHMS62QECMFEXMJV","target":"record","payload":{"canonical_record":{"source":{"id":"1003.2358","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-03-11T16:45:23Z","cross_cats_sorted":[],"title_canon_sha256":"0093d2a4be190a226f79a8c4cdc42fb4ee2d5e682c4f79ed16d21af9090668f7","abstract_canon_sha256":"729724fd25389cb875c27b0020d29e50b19d4bfe5f28b49fbfdaca883329e029"},"schema_version":"1.0"},"canonical_sha256":"a68926d5094eda764bda8104c292ec4d7cb433c8f56b7387cf60821d6a7be7e1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:26:33.306440Z","signature_b64":"nw1CQDEJhnagRlGQf1XZrjNTOx6g7GFk4YK9cTLNtX5PNcLqT2l723tEnY9+mTG6f8NAxNPeCDhqvmP9wzqnBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a68926d5094eda764bda8104c292ec4d7cb433c8f56b7387cf60821d6a7be7e1","last_reissued_at":"2026-05-18T04:26:33.305697Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:26:33.305697Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1003.2358","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":"2026-05-18T04:26:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9/vFSOua9jd1Vi5oW7MFquoo+DIvvfm9YwSsKqfjBGfbE9Zyh95QSOb6HdF0uj9HiEROaL+jvZtGvjDxYApDCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T13:54:00.551312Z"},"content_sha256":"6a6e87bab603f070d0446d1e991003ad4735719483a249aaf890fc3e1e787a0b","schema_version":"1.0","event_id":"sha256:6a6e87bab603f070d0446d1e991003ad4735719483a249aaf890fc3e1e787a0b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:U2ESNVIJJ3NHMS62QECMFEXMJV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Flag varieties as equivariant compactifications of G_a^n","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Ivan V. Arzhantsev","submitted_at":"2010-03-11T16:45:23Z","abstract_excerpt":"Let G be a semisimple affine algebraic group and P a parabolic subgroup of G. We classify all flag varieties G/P which admit an action of the commutative unipotent group G_a^n with an open orbit."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.2358","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":"2026-05-18T04:26:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Cj1cBXUmhclNx00Hxz60ZFh1iV8YY+eLEe1tXGrRckszMzNbpN3y3gSbC50Qc0cMw0lxxJx5JbWE57sJOLKjAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T13:54:00.551682Z"},"content_sha256":"3c2025128345cb690f8ac7332631c6015a2a56cd1acb2aef17a83bbaba9a6280","schema_version":"1.0","event_id":"sha256:3c2025128345cb690f8ac7332631c6015a2a56cd1acb2aef17a83bbaba9a6280"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U2ESNVIJJ3NHMS62QECMFEXMJV/bundle.json","state_url":"https://pith.science/pith/U2ESNVIJJ3NHMS62QECMFEXMJV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U2ESNVIJJ3NHMS62QECMFEXMJV/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":"2026-06-11T13:54:00Z","links":{"resolver":"https://pith.science/pith/U2ESNVIJJ3NHMS62QECMFEXMJV","bundle":"https://pith.science/pith/U2ESNVIJJ3NHMS62QECMFEXMJV/bundle.json","state":"https://pith.science/pith/U2ESNVIJJ3NHMS62QECMFEXMJV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U2ESNVIJJ3NHMS62QECMFEXMJV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:U2ESNVIJJ3NHMS62QECMFEXMJV","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":"729724fd25389cb875c27b0020d29e50b19d4bfe5f28b49fbfdaca883329e029","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-03-11T16:45:23Z","title_canon_sha256":"0093d2a4be190a226f79a8c4cdc42fb4ee2d5e682c4f79ed16d21af9090668f7"},"schema_version":"1.0","source":{"id":"1003.2358","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.2358","created_at":"2026-05-18T04:26:33Z"},{"alias_kind":"arxiv_version","alias_value":"1003.2358v2","created_at":"2026-05-18T04:26:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.2358","created_at":"2026-05-18T04:26:33Z"},{"alias_kind":"pith_short_12","alias_value":"U2ESNVIJJ3NH","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"U2ESNVIJJ3NHMS62","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"U2ESNVIJ","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:3c2025128345cb690f8ac7332631c6015a2a56cd1acb2aef17a83bbaba9a6280","target":"graph","created_at":"2026-05-18T04:26:33Z","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":"Let G be a semisimple affine algebraic group and P a parabolic subgroup of G. We classify all flag varieties G/P which admit an action of the commutative unipotent group G_a^n with an open orbit.","authors_text":"Ivan V. Arzhantsev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-03-11T16:45:23Z","title":"Flag varieties as equivariant compactifications of G_a^n"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.2358","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":"sha256:6a6e87bab603f070d0446d1e991003ad4735719483a249aaf890fc3e1e787a0b","target":"record","created_at":"2026-05-18T04:26:33Z","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":"729724fd25389cb875c27b0020d29e50b19d4bfe5f28b49fbfdaca883329e029","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-03-11T16:45:23Z","title_canon_sha256":"0093d2a4be190a226f79a8c4cdc42fb4ee2d5e682c4f79ed16d21af9090668f7"},"schema_version":"1.0","source":{"id":"1003.2358","kind":"arxiv","version":2}},"canonical_sha256":"a68926d5094eda764bda8104c292ec4d7cb433c8f56b7387cf60821d6a7be7e1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a68926d5094eda764bda8104c292ec4d7cb433c8f56b7387cf60821d6a7be7e1","first_computed_at":"2026-05-18T04:26:33.305697Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:26:33.305697Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nw1CQDEJhnagRlGQf1XZrjNTOx6g7GFk4YK9cTLNtX5PNcLqT2l723tEnY9+mTG6f8NAxNPeCDhqvmP9wzqnBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:26:33.306440Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.2358","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6a6e87bab603f070d0446d1e991003ad4735719483a249aaf890fc3e1e787a0b","sha256:3c2025128345cb690f8ac7332631c6015a2a56cd1acb2aef17a83bbaba9a6280"],"state_sha256":"1fd0a5e083321e027db6ab1d6953333fa83756f523b3b6edf91ff52add3c6e16"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iWq4GcpYtwufpHS4qwPN1JCvq+xWxXfIWWDCJZfSalwtoG4NBD4XISvQU0HbLoB0h/oPGJVHuem9mgYOzPURCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T13:54:00.553653Z","bundle_sha256":"7c6ee3cefa4f1bad68d9d91a6673154a967d572d95ffd027df740951ce86a176"}}