{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:UOS53EAEO4DCMR2GKSSAJ3LW3W","short_pith_number":"pith:UOS53EAE","canonical_record":{"source":{"id":"0802.2078","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-02-14T18:38:06Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"0833bcf65884f7a0019eafe3f2b5f4a99d6b945c343b7f22199d8d526ea7e11a","abstract_canon_sha256":"f2c52c4d8977241cc7cd6ebfd85ad65435eaa5f9086cc34f17fa56340da4785e"},"schema_version":"1.0"},"canonical_sha256":"a3a5dd9004770626474654a404ed76dda3cbecbdc1ed27d21479eab5c71913ad","source":{"kind":"arxiv","id":"0802.2078","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0802.2078","created_at":"2026-05-17T23:53:20Z"},{"alias_kind":"arxiv_version","alias_value":"0802.2078v3","created_at":"2026-05-17T23:53:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0802.2078","created_at":"2026-05-17T23:53:20Z"},{"alias_kind":"pith_short_12","alias_value":"UOS53EAEO4DC","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"UOS53EAEO4DCMR2G","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"UOS53EAE","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:UOS53EAEO4DCMR2GKSSAJ3LW3W","target":"record","payload":{"canonical_record":{"source":{"id":"0802.2078","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-02-14T18:38:06Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"0833bcf65884f7a0019eafe3f2b5f4a99d6b945c343b7f22199d8d526ea7e11a","abstract_canon_sha256":"f2c52c4d8977241cc7cd6ebfd85ad65435eaa5f9086cc34f17fa56340da4785e"},"schema_version":"1.0"},"canonical_sha256":"a3a5dd9004770626474654a404ed76dda3cbecbdc1ed27d21479eab5c71913ad","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:20.227965Z","signature_b64":"0+wZ+mNXj+xycGW3ngJWixxzhtSY8Vx5pU+EPWv7Co4B9GZ1DYW50+T6F5tm3FQsXIlRmescgEJSAx9eGDztAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a3a5dd9004770626474654a404ed76dda3cbecbdc1ed27d21479eab5c71913ad","last_reissued_at":"2026-05-17T23:53:20.227304Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:20.227304Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0802.2078","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:53:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lLbgDd2sZAymicoaM37oiQK2V+m2IFcBLe2AKkmCXeQrvkSWwPRxnOedWzBQ5p/jIAvzUmr7G4nYbc2vG9ieDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T23:07:30.246112Z"},"content_sha256":"f7dc6c6cc6a5e660f505047856804e4eccf30c766c31ef34c0195d896b0968d7","schema_version":"1.0","event_id":"sha256:f7dc6c6cc6a5e660f505047856804e4eccf30c766c31ef34c0195d896b0968d7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:UOS53EAEO4DCMR2GKSSAJ3LW3W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Moduli spaces of irreducible symplectic manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"G.K.Sankaran, K.Hulek, V.Gritsenko","submitted_at":"2008-02-14T18:38:06Z","abstract_excerpt":"We study the moduli spaces of polarised irreducible symplectic manifolds. By a comparison with locally symmetric varieties of orthogonal type of dimension 20, we show that the moduli space of 2d polarised (split type) symplectic manifolds which are deformation equivalent to degree 2 Hilbert schemes of a K3 surface is of general type if d is at least 12."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0802.2078","kind":"arxiv","version":3},"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":"2026-05-17T23:53:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lwPn4CQP41Lb/6KSUTJYjxav3NK91BUFjPXwxU7EFoDFMzsHCLHmmSbIjXTVK8G4lRzJfnjlvsLbjwkQg4aZDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T23:07:30.246790Z"},"content_sha256":"dab6e2d54f4d538262889d2614adacba3eadb3d7d7d5cd0c70c1fc3efeee495d","schema_version":"1.0","event_id":"sha256:dab6e2d54f4d538262889d2614adacba3eadb3d7d7d5cd0c70c1fc3efeee495d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UOS53EAEO4DCMR2GKSSAJ3LW3W/bundle.json","state_url":"https://pith.science/pith/UOS53EAEO4DCMR2GKSSAJ3LW3W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UOS53EAEO4DCMR2GKSSAJ3LW3W/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":"2026-06-06T23:07:30Z","links":{"resolver":"https://pith.science/pith/UOS53EAEO4DCMR2GKSSAJ3LW3W","bundle":"https://pith.science/pith/UOS53EAEO4DCMR2GKSSAJ3LW3W/bundle.json","state":"https://pith.science/pith/UOS53EAEO4DCMR2GKSSAJ3LW3W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UOS53EAEO4DCMR2GKSSAJ3LW3W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:UOS53EAEO4DCMR2GKSSAJ3LW3W","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":"f2c52c4d8977241cc7cd6ebfd85ad65435eaa5f9086cc34f17fa56340da4785e","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-02-14T18:38:06Z","title_canon_sha256":"0833bcf65884f7a0019eafe3f2b5f4a99d6b945c343b7f22199d8d526ea7e11a"},"schema_version":"1.0","source":{"id":"0802.2078","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0802.2078","created_at":"2026-05-17T23:53:20Z"},{"alias_kind":"arxiv_version","alias_value":"0802.2078v3","created_at":"2026-05-17T23:53:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0802.2078","created_at":"2026-05-17T23:53:20Z"},{"alias_kind":"pith_short_12","alias_value":"UOS53EAEO4DC","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"UOS53EAEO4DCMR2G","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"UOS53EAE","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:dab6e2d54f4d538262889d2614adacba3eadb3d7d7d5cd0c70c1fc3efeee495d","target":"graph","created_at":"2026-05-17T23:53:20Z","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 study the moduli spaces of polarised irreducible symplectic manifolds. By a comparison with locally symmetric varieties of orthogonal type of dimension 20, we show that the moduli space of 2d polarised (split type) symplectic manifolds which are deformation equivalent to degree 2 Hilbert schemes of a K3 surface is of general type if d is at least 12.","authors_text":"G.K.Sankaran, K.Hulek, V.Gritsenko","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-02-14T18:38:06Z","title":"Moduli spaces of irreducible symplectic manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0802.2078","kind":"arxiv","version":3},"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:f7dc6c6cc6a5e660f505047856804e4eccf30c766c31ef34c0195d896b0968d7","target":"record","created_at":"2026-05-17T23:53:20Z","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":"f2c52c4d8977241cc7cd6ebfd85ad65435eaa5f9086cc34f17fa56340da4785e","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-02-14T18:38:06Z","title_canon_sha256":"0833bcf65884f7a0019eafe3f2b5f4a99d6b945c343b7f22199d8d526ea7e11a"},"schema_version":"1.0","source":{"id":"0802.2078","kind":"arxiv","version":3}},"canonical_sha256":"a3a5dd9004770626474654a404ed76dda3cbecbdc1ed27d21479eab5c71913ad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a3a5dd9004770626474654a404ed76dda3cbecbdc1ed27d21479eab5c71913ad","first_computed_at":"2026-05-17T23:53:20.227304Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:20.227304Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0+wZ+mNXj+xycGW3ngJWixxzhtSY8Vx5pU+EPWv7Co4B9GZ1DYW50+T6F5tm3FQsXIlRmescgEJSAx9eGDztAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:20.227965Z","signed_message":"canonical_sha256_bytes"},"source_id":"0802.2078","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f7dc6c6cc6a5e660f505047856804e4eccf30c766c31ef34c0195d896b0968d7","sha256:dab6e2d54f4d538262889d2614adacba3eadb3d7d7d5cd0c70c1fc3efeee495d"],"state_sha256":"e2145ae3e0fe0ee676d0c065cb523e0899ddd09894a41f534039230ded43ed31"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"robKlRWdtpvk81hpT6J8dhKLwoktW0bpJh9bOSF3i7cLYpo5QpyvBxCthNgXgezXI4gP1GYzfpI+doFQldrjCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T23:07:30.250176Z","bundle_sha256":"bf5c430d3d4f9889870d053bf3bca0112aa008afbad38ad4ce18796314462c5c"}}