{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:PANDIPQAWNSJRAZIVOHTON6NSX","short_pith_number":"pith:PANDIPQA","canonical_record":{"source":{"id":"1111.3032","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-13T16:45:35Z","cross_cats_sorted":[],"title_canon_sha256":"fab0d63297290d46ac230c53e7d11ad1f8005a590f52cc80a1c954a1121d4c75","abstract_canon_sha256":"2df45621abd2e58ec4d20f1dd1e797c3bd0a29263cb9f609904f7d561d6d6a59"},"schema_version":"1.0"},"canonical_sha256":"781a343e00b364988328ab8f3737cd95eb0c602d0590a24cf445abc8ec2296dd","source":{"kind":"arxiv","id":"1111.3032","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.3032","created_at":"2026-05-18T02:56:44Z"},{"alias_kind":"arxiv_version","alias_value":"1111.3032v2","created_at":"2026-05-18T02:56:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.3032","created_at":"2026-05-18T02:56:44Z"},{"alias_kind":"pith_short_12","alias_value":"PANDIPQAWNSJ","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"PANDIPQAWNSJRAZI","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"PANDIPQA","created_at":"2026-05-18T12:26:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:PANDIPQAWNSJRAZIVOHTON6NSX","target":"record","payload":{"canonical_record":{"source":{"id":"1111.3032","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-13T16:45:35Z","cross_cats_sorted":[],"title_canon_sha256":"fab0d63297290d46ac230c53e7d11ad1f8005a590f52cc80a1c954a1121d4c75","abstract_canon_sha256":"2df45621abd2e58ec4d20f1dd1e797c3bd0a29263cb9f609904f7d561d6d6a59"},"schema_version":"1.0"},"canonical_sha256":"781a343e00b364988328ab8f3737cd95eb0c602d0590a24cf445abc8ec2296dd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:56:44.605429Z","signature_b64":"dy3Tn7bdGsEvvWC+Yl4350kRAYlPUj5hgkZ+LUnX76NRLSEyuEjFQsv70wvsn5Mmjw4pFdsHmJN6R8U+Cz1nAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"781a343e00b364988328ab8f3737cd95eb0c602d0590a24cf445abc8ec2296dd","last_reissued_at":"2026-05-18T02:56:44.604862Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:56:44.604862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.3032","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":"2026-05-18T02:56:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yIp1vX5Lixl65a4I5X3O2BqZmB5dowb8+qiLFgKiAVzKD++GR+zqmCOL10+T9kmDQ6Rgbdb31FhrSK5fbJ4NBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T13:10:17.695708Z"},"content_sha256":"2b8d70e65d97c4bb95492a27f459aa2507f7771d1f4d7a93ce8a028c2066ba87","schema_version":"1.0","event_id":"sha256:2b8d70e65d97c4bb95492a27f459aa2507f7771d1f4d7a93ce8a028c2066ba87"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:PANDIPQAWNSJRAZIVOHTON6NSX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"GIT and moduli with a twist","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Radu Laza","submitted_at":"2011-11-13T16:45:35Z","abstract_excerpt":"We survey the role played by GIT in the study of moduli spaces, with an emphasis on the birational geometry of GIT quotients."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.3032","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":"2026-05-18T02:56:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5Qxn4i6+1LAeHVzqFnQMZh3JZtSEdVSnYDACGqLRS1XjMcgMf6OfElhwNyXisgkTbW4oMnABXQFCeCbImTIoDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T13:10:17.696121Z"},"content_sha256":"19332c8ad85ef0953b5946138848187893e0d9627f86790ed9b7babfab80c115","schema_version":"1.0","event_id":"sha256:19332c8ad85ef0953b5946138848187893e0d9627f86790ed9b7babfab80c115"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PANDIPQAWNSJRAZIVOHTON6NSX/bundle.json","state_url":"https://pith.science/pith/PANDIPQAWNSJRAZIVOHTON6NSX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PANDIPQAWNSJRAZIVOHTON6NSX/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":"2026-06-27T13:10:17Z","links":{"resolver":"https://pith.science/pith/PANDIPQAWNSJRAZIVOHTON6NSX","bundle":"https://pith.science/pith/PANDIPQAWNSJRAZIVOHTON6NSX/bundle.json","state":"https://pith.science/pith/PANDIPQAWNSJRAZIVOHTON6NSX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PANDIPQAWNSJRAZIVOHTON6NSX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:PANDIPQAWNSJRAZIVOHTON6NSX","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":"2df45621abd2e58ec4d20f1dd1e797c3bd0a29263cb9f609904f7d561d6d6a59","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-13T16:45:35Z","title_canon_sha256":"fab0d63297290d46ac230c53e7d11ad1f8005a590f52cc80a1c954a1121d4c75"},"schema_version":"1.0","source":{"id":"1111.3032","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.3032","created_at":"2026-05-18T02:56:44Z"},{"alias_kind":"arxiv_version","alias_value":"1111.3032v2","created_at":"2026-05-18T02:56:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.3032","created_at":"2026-05-18T02:56:44Z"},{"alias_kind":"pith_short_12","alias_value":"PANDIPQAWNSJ","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"PANDIPQAWNSJRAZI","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"PANDIPQA","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:19332c8ad85ef0953b5946138848187893e0d9627f86790ed9b7babfab80c115","target":"graph","created_at":"2026-05-18T02:56:44Z","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 survey the role played by GIT in the study of moduli spaces, with an emphasis on the birational geometry of GIT quotients.","authors_text":"Radu Laza","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-13T16:45:35Z","title":"GIT and moduli with a twist"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.3032","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":"sha256:2b8d70e65d97c4bb95492a27f459aa2507f7771d1f4d7a93ce8a028c2066ba87","target":"record","created_at":"2026-05-18T02:56:44Z","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":"2df45621abd2e58ec4d20f1dd1e797c3bd0a29263cb9f609904f7d561d6d6a59","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-13T16:45:35Z","title_canon_sha256":"fab0d63297290d46ac230c53e7d11ad1f8005a590f52cc80a1c954a1121d4c75"},"schema_version":"1.0","source":{"id":"1111.3032","kind":"arxiv","version":2}},"canonical_sha256":"781a343e00b364988328ab8f3737cd95eb0c602d0590a24cf445abc8ec2296dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"781a343e00b364988328ab8f3737cd95eb0c602d0590a24cf445abc8ec2296dd","first_computed_at":"2026-05-18T02:56:44.604862Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:44.604862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dy3Tn7bdGsEvvWC+Yl4350kRAYlPUj5hgkZ+LUnX76NRLSEyuEjFQsv70wvsn5Mmjw4pFdsHmJN6R8U+Cz1nAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:44.605429Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.3032","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2b8d70e65d97c4bb95492a27f459aa2507f7771d1f4d7a93ce8a028c2066ba87","sha256:19332c8ad85ef0953b5946138848187893e0d9627f86790ed9b7babfab80c115"],"state_sha256":"fcac2157fb555b4bc210585c2c87af50367dbf47cc11942317bbeab033be27a0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PUcPXUI384O8CFaZlpfTU82oB+lhtA5XT9lwkaNH2d1qQNeAjL5ZGpabq8xU3J2F23/SaAfbmzq38ct3VM4bBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T13:10:17.698013Z","bundle_sha256":"a82b8271016a06c484c14268fed70ccfd5ff9db2bc7de28a61fb0769244774c7"}}