{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:7XJBOPN6UYW5RTY6L35JC4OSDK","short_pith_number":"pith:7XJBOPN6","canonical_record":{"source":{"id":"1512.08672","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-12-29T13:06:27Z","cross_cats_sorted":[],"title_canon_sha256":"03e9fac402effb73edbe75dd5db14e6815befc3a607b83d458763f9bad348b0c","abstract_canon_sha256":"6525aa6f0ff5643dfb084bed4ba84f0175627569565cae14ed39198ef625b86d"},"schema_version":"1.0"},"canonical_sha256":"fdd2173dbea62dd8cf1e5efa9171d21a9ea9a0074911d7ca91e3098d487bb268","source":{"kind":"arxiv","id":"1512.08672","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.08672","created_at":"2026-05-18T01:22:05Z"},{"alias_kind":"arxiv_version","alias_value":"1512.08672v2","created_at":"2026-05-18T01:22:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.08672","created_at":"2026-05-18T01:22:05Z"},{"alias_kind":"pith_short_12","alias_value":"7XJBOPN6UYW5","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7XJBOPN6UYW5RTY6","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7XJBOPN6","created_at":"2026-05-18T12:29:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:7XJBOPN6UYW5RTY6L35JC4OSDK","target":"record","payload":{"canonical_record":{"source":{"id":"1512.08672","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-12-29T13:06:27Z","cross_cats_sorted":[],"title_canon_sha256":"03e9fac402effb73edbe75dd5db14e6815befc3a607b83d458763f9bad348b0c","abstract_canon_sha256":"6525aa6f0ff5643dfb084bed4ba84f0175627569565cae14ed39198ef625b86d"},"schema_version":"1.0"},"canonical_sha256":"fdd2173dbea62dd8cf1e5efa9171d21a9ea9a0074911d7ca91e3098d487bb268","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:05.521094Z","signature_b64":"prjHH28sximtnTKBEt6L51phquxyIu8f0aQiSFm3I+UVtXW2qWGJexHMqSzE+i2Fu4+C7djHEszLosWruLWcAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fdd2173dbea62dd8cf1e5efa9171d21a9ea9a0074911d7ca91e3098d487bb268","last_reissued_at":"2026-05-18T01:22:05.520585Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:05.520585Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1512.08672","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":"2026-05-18T01:22:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T04fJnbk0HngaZ+jDqoOdxyfY+cGYFqTilIISHTTinpZ8bGCdKuXn8HNt56uv9UscacMYQDoz4msL3mM3A3uBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T17:20:03.288451Z"},"content_sha256":"75416457bbfe75497030ea069366c2203f1ad39240b640e2f28038c3d86c335f","schema_version":"1.0","event_id":"sha256:75416457bbfe75497030ea069366c2203f1ad39240b640e2f28038c3d86c335f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:7XJBOPN6UYW5RTY6L35JC4OSDK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stability of coisotropic fibrations on holomorphic symplectic manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Christian Lehn, Gianluca Pacienza","submitted_at":"2015-12-29T13:06:27Z","abstract_excerpt":"We investigate the stability of fibers of coisotropic fibrations on holomorphic symplectic manifolds and generalize Voisin's result on Lagrangian subvarieties to this framework. We present applications to the moduli space of holomorphic symplectic manifolds which are deformations equivalent to Hilbert schemes of points on a $K3$ surface or to generalized Kummer manifolds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.08672","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":"2026-05-18T01:22:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i73t1tJPluIDq2TFqbsy7CvHs2ukb5URr5LdZ8UGn5pVTXuVWlxZ93rM3jNVSf26MkfINHXA/rx/KeYTmo9QAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T17:20:03.288967Z"},"content_sha256":"599968cf756cb78e9ccdbd4d88319f86feea4add7b83e677f5965b7bc9bbad9f","schema_version":"1.0","event_id":"sha256:599968cf756cb78e9ccdbd4d88319f86feea4add7b83e677f5965b7bc9bbad9f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7XJBOPN6UYW5RTY6L35JC4OSDK/bundle.json","state_url":"https://pith.science/pith/7XJBOPN6UYW5RTY6L35JC4OSDK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7XJBOPN6UYW5RTY6L35JC4OSDK/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":"2026-05-31T17:20:03Z","links":{"resolver":"https://pith.science/pith/7XJBOPN6UYW5RTY6L35JC4OSDK","bundle":"https://pith.science/pith/7XJBOPN6UYW5RTY6L35JC4OSDK/bundle.json","state":"https://pith.science/pith/7XJBOPN6UYW5RTY6L35JC4OSDK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7XJBOPN6UYW5RTY6L35JC4OSDK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7XJBOPN6UYW5RTY6L35JC4OSDK","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":"6525aa6f0ff5643dfb084bed4ba84f0175627569565cae14ed39198ef625b86d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-12-29T13:06:27Z","title_canon_sha256":"03e9fac402effb73edbe75dd5db14e6815befc3a607b83d458763f9bad348b0c"},"schema_version":"1.0","source":{"id":"1512.08672","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.08672","created_at":"2026-05-18T01:22:05Z"},{"alias_kind":"arxiv_version","alias_value":"1512.08672v2","created_at":"2026-05-18T01:22:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.08672","created_at":"2026-05-18T01:22:05Z"},{"alias_kind":"pith_short_12","alias_value":"7XJBOPN6UYW5","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7XJBOPN6UYW5RTY6","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7XJBOPN6","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:599968cf756cb78e9ccdbd4d88319f86feea4add7b83e677f5965b7bc9bbad9f","target":"graph","created_at":"2026-05-18T01:22:05Z","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 investigate the stability of fibers of coisotropic fibrations on holomorphic symplectic manifolds and generalize Voisin's result on Lagrangian subvarieties to this framework. We present applications to the moduli space of holomorphic symplectic manifolds which are deformations equivalent to Hilbert schemes of points on a $K3$ surface or to generalized Kummer manifolds.","authors_text":"Christian Lehn, Gianluca Pacienza","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-12-29T13:06:27Z","title":"Stability of coisotropic fibrations on holomorphic symplectic manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.08672","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":"sha256:75416457bbfe75497030ea069366c2203f1ad39240b640e2f28038c3d86c335f","target":"record","created_at":"2026-05-18T01:22:05Z","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":"6525aa6f0ff5643dfb084bed4ba84f0175627569565cae14ed39198ef625b86d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-12-29T13:06:27Z","title_canon_sha256":"03e9fac402effb73edbe75dd5db14e6815befc3a607b83d458763f9bad348b0c"},"schema_version":"1.0","source":{"id":"1512.08672","kind":"arxiv","version":2}},"canonical_sha256":"fdd2173dbea62dd8cf1e5efa9171d21a9ea9a0074911d7ca91e3098d487bb268","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fdd2173dbea62dd8cf1e5efa9171d21a9ea9a0074911d7ca91e3098d487bb268","first_computed_at":"2026-05-18T01:22:05.520585Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:05.520585Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"prjHH28sximtnTKBEt6L51phquxyIu8f0aQiSFm3I+UVtXW2qWGJexHMqSzE+i2Fu4+C7djHEszLosWruLWcAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:05.521094Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.08672","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:75416457bbfe75497030ea069366c2203f1ad39240b640e2f28038c3d86c335f","sha256:599968cf756cb78e9ccdbd4d88319f86feea4add7b83e677f5965b7bc9bbad9f"],"state_sha256":"d6f1215fcfea85573255df021dd9980f8f32421753a2d5d1568dff9294c31d5d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RrZhFv87Id9m8tiAE5N71QW9M8ASjQfbnE95jRahVowlxrYARMJn3m7O+CwUDGr+6aGoUNsUN3kW9lWozm+UDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T17:20:03.291978Z","bundle_sha256":"62eea2a9e894e5ce5ca11760416b8f6deded72d66c84e8fd3fc71581a5efbd8a"}}