{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:GNFADXJY4RSEFAYQCAZVMHELW4","short_pith_number":"pith:GNFADXJY","canonical_record":{"source":{"id":"1101.5123","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-01-26T18:03:46Z","cross_cats_sorted":[],"title_canon_sha256":"ec1d21d4d5bc82f0c7b35bef16f9147a00b915344837ee58deb0f40ee418ae9b","abstract_canon_sha256":"c65e9c07216fd4633c4b9d517480c2948cb73644f15ebc9a58b387144b80463e"},"schema_version":"1.0"},"canonical_sha256":"334a01dd38e4644283101033561c8bb70d4ca319bbc0577f1642e6d5fa206bff","source":{"kind":"arxiv","id":"1101.5123","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.5123","created_at":"2026-05-18T00:44:30Z"},{"alias_kind":"arxiv_version","alias_value":"1101.5123v2","created_at":"2026-05-18T00:44:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5123","created_at":"2026-05-18T00:44:30Z"},{"alias_kind":"pith_short_12","alias_value":"GNFADXJY4RSE","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"GNFADXJY4RSEFAYQ","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"GNFADXJY","created_at":"2026-05-18T12:26:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:GNFADXJY4RSEFAYQCAZVMHELW4","target":"record","payload":{"canonical_record":{"source":{"id":"1101.5123","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-01-26T18:03:46Z","cross_cats_sorted":[],"title_canon_sha256":"ec1d21d4d5bc82f0c7b35bef16f9147a00b915344837ee58deb0f40ee418ae9b","abstract_canon_sha256":"c65e9c07216fd4633c4b9d517480c2948cb73644f15ebc9a58b387144b80463e"},"schema_version":"1.0"},"canonical_sha256":"334a01dd38e4644283101033561c8bb70d4ca319bbc0577f1642e6d5fa206bff","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:30.574212Z","signature_b64":"NlOBGAH2cB4YmonDO6xln28cDfALAYT5jCJulw9LU0+ZQqoLP9yHWsV9mKE/3jVLaAtTKpDUWwlO1scxLc98Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"334a01dd38e4644283101033561c8bb70d4ca319bbc0577f1642e6d5fa206bff","last_reissued_at":"2026-05-18T00:44:30.573643Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:30.573643Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1101.5123","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":"2026-05-18T00:44:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8tsicz1ljspKb90G6trv6+tyfGtTnHWyugw0VKkLVS+upbVbKEQXEAtRiLACZHSxmKxY3KDiVPxOiaLS7v7zAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T13:30:47.253786Z"},"content_sha256":"de2931fedb4b0601ed6af61027bdbc792ecf1b30c6d9b40b41cbca44a5a2610d","schema_version":"1.0","event_id":"sha256:de2931fedb4b0601ed6af61027bdbc792ecf1b30c6d9b40b41cbca44a5a2610d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:GNFADXJY4RSEFAYQCAZVMHELW4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalizing the GAGA Principle","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Jack Hall","submitted_at":"2011-01-26T18:03:46Z","abstract_excerpt":"This paper generalizes the fundamental GAGA results of Serre cite{MR0082175} in three ways---to the non-separated setting, to stacks, and to families. As an application of these results, we show that analytic compactifications of $\\mathcal{M}_{g,n}$ possessing modular interpretations are algebraizable."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5123","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":"2026-05-18T00:44:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gKsHWwkn+FWYtd+Y94kWHgBsxHamaQaXwJfmL7w50Qwlfb5e0Bbt9vwOqlIHMu7oLqBJ7ZxhPifw000lQAaoAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T13:30:47.254149Z"},"content_sha256":"819663ddc31871a01a53a3b76e7a986ef0f512c1fc6d7657b34fa30e3cd5c0eb","schema_version":"1.0","event_id":"sha256:819663ddc31871a01a53a3b76e7a986ef0f512c1fc6d7657b34fa30e3cd5c0eb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GNFADXJY4RSEFAYQCAZVMHELW4/bundle.json","state_url":"https://pith.science/pith/GNFADXJY4RSEFAYQCAZVMHELW4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GNFADXJY4RSEFAYQCAZVMHELW4/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":"2026-06-01T13:30:47Z","links":{"resolver":"https://pith.science/pith/GNFADXJY4RSEFAYQCAZVMHELW4","bundle":"https://pith.science/pith/GNFADXJY4RSEFAYQCAZVMHELW4/bundle.json","state":"https://pith.science/pith/GNFADXJY4RSEFAYQCAZVMHELW4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GNFADXJY4RSEFAYQCAZVMHELW4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:GNFADXJY4RSEFAYQCAZVMHELW4","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":"c65e9c07216fd4633c4b9d517480c2948cb73644f15ebc9a58b387144b80463e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-01-26T18:03:46Z","title_canon_sha256":"ec1d21d4d5bc82f0c7b35bef16f9147a00b915344837ee58deb0f40ee418ae9b"},"schema_version":"1.0","source":{"id":"1101.5123","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.5123","created_at":"2026-05-18T00:44:30Z"},{"alias_kind":"arxiv_version","alias_value":"1101.5123v2","created_at":"2026-05-18T00:44:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5123","created_at":"2026-05-18T00:44:30Z"},{"alias_kind":"pith_short_12","alias_value":"GNFADXJY4RSE","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"GNFADXJY4RSEFAYQ","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"GNFADXJY","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:819663ddc31871a01a53a3b76e7a986ef0f512c1fc6d7657b34fa30e3cd5c0eb","target":"graph","created_at":"2026-05-18T00:44:30Z","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":"This paper generalizes the fundamental GAGA results of Serre cite{MR0082175} in three ways---to the non-separated setting, to stacks, and to families. As an application of these results, we show that analytic compactifications of $\\mathcal{M}_{g,n}$ possessing modular interpretations are algebraizable.","authors_text":"Jack Hall","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-01-26T18:03:46Z","title":"Generalizing the GAGA Principle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5123","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:de2931fedb4b0601ed6af61027bdbc792ecf1b30c6d9b40b41cbca44a5a2610d","target":"record","created_at":"2026-05-18T00:44:30Z","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":"c65e9c07216fd4633c4b9d517480c2948cb73644f15ebc9a58b387144b80463e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-01-26T18:03:46Z","title_canon_sha256":"ec1d21d4d5bc82f0c7b35bef16f9147a00b915344837ee58deb0f40ee418ae9b"},"schema_version":"1.0","source":{"id":"1101.5123","kind":"arxiv","version":2}},"canonical_sha256":"334a01dd38e4644283101033561c8bb70d4ca319bbc0577f1642e6d5fa206bff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"334a01dd38e4644283101033561c8bb70d4ca319bbc0577f1642e6d5fa206bff","first_computed_at":"2026-05-18T00:44:30.573643Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:30.573643Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NlOBGAH2cB4YmonDO6xln28cDfALAYT5jCJulw9LU0+ZQqoLP9yHWsV9mKE/3jVLaAtTKpDUWwlO1scxLc98Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:30.574212Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.5123","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de2931fedb4b0601ed6af61027bdbc792ecf1b30c6d9b40b41cbca44a5a2610d","sha256:819663ddc31871a01a53a3b76e7a986ef0f512c1fc6d7657b34fa30e3cd5c0eb"],"state_sha256":"bd13498c9769f55c20e76e6790196803a883c25ba607c7a693831c488a0c0f2f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DxDyH+zzyqXR3fs07kiYu+ohYwd/y80wJEJqhO3B3SY0tFzTNEOGbk03u+puWm3il2M1lmqHXmMUXUBYPfbuCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T13:30:47.256125Z","bundle_sha256":"059a51d22614dc16c98a063618de85aa99a27a070079897298d1578728489263"}}