{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:DZUCTIMI32J4E7ZQ347UAFOI7G","short_pith_number":"pith:DZUCTIMI","canonical_record":{"source":{"id":"1604.03079","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-04-11T19:36:00Z","cross_cats_sorted":[],"title_canon_sha256":"7ae5f141b79f0d95c64b684a2231dac73f2f12ef3f8dd58ff2798918d33605cc","abstract_canon_sha256":"c301e13e157c0484ba2a8ee60ce4a46cf23cb998e51b389ab83005883134107e"},"schema_version":"1.0"},"canonical_sha256":"1e6829a188de93c27f30df3f4015c8f996a0ac27c685cb4b587aeaf0539b55f8","source":{"kind":"arxiv","id":"1604.03079","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.03079","created_at":"2026-05-17T23:53:34Z"},{"alias_kind":"arxiv_version","alias_value":"1604.03079v1","created_at":"2026-05-17T23:53:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.03079","created_at":"2026-05-17T23:53:34Z"},{"alias_kind":"pith_short_12","alias_value":"DZUCTIMI32J4","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DZUCTIMI32J4E7ZQ","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DZUCTIMI","created_at":"2026-05-18T12:30:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:DZUCTIMI32J4E7ZQ347UAFOI7G","target":"record","payload":{"canonical_record":{"source":{"id":"1604.03079","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-04-11T19:36:00Z","cross_cats_sorted":[],"title_canon_sha256":"7ae5f141b79f0d95c64b684a2231dac73f2f12ef3f8dd58ff2798918d33605cc","abstract_canon_sha256":"c301e13e157c0484ba2a8ee60ce4a46cf23cb998e51b389ab83005883134107e"},"schema_version":"1.0"},"canonical_sha256":"1e6829a188de93c27f30df3f4015c8f996a0ac27c685cb4b587aeaf0539b55f8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:34.218408Z","signature_b64":"7EjSUPbZ72OIke2rNlL02kEHI/1dLeDSR6VmVx9fyoaPulr1TaVUZixvzG4fK/uzKbUkYrkxG6E1TawstIYsDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1e6829a188de93c27f30df3f4015c8f996a0ac27c685cb4b587aeaf0539b55f8","last_reissued_at":"2026-05-17T23:53:34.217785Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:34.217785Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.03079","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:53:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wxRyNm50FIvB3IQTu4QWOYha4te37KHaDVhM4gRm0HyOfoWfaWoHnZnstYuYJuWDs3EfXhae3FH/cQqVX96OBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T02:07:02.893287Z"},"content_sha256":"9499f2edf4e4806b92d53b9f678bd09c624c1f4a3fed6ad8670d5c2adac589be","schema_version":"1.0","event_id":"sha256:9499f2edf4e4806b92d53b9f678bd09c624c1f4a3fed6ad8670d5c2adac589be"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:DZUCTIMI32J4E7ZQ347UAFOI7G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Construction of automorphisms of hyperk\\\"ahler manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Ekaterina Amerik, Misha Verbitsky","submitted_at":"2016-04-11T19:36:00Z","abstract_excerpt":"Let $M$ be an irreducible holomorphic symplectic (hyperk\\\"ahler) manifold. If $b_2(M)\\geq 5$, we construct a deformation $M'$ of $M$ which admits a symplectic automorphism of infinite order. This automorphism is hyperbolic, that is, its action on the space of real $(1,1)$-classes is hyperbolic. If $b_2(M) \\geq 14$, similarly, we construct a deformation which admits a parabolic automorphism."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03079","kind":"arxiv","version":1},"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":"2026-05-17T23:53:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ELeNIk5/oUJ1Nuno6JbHf606q9WN4G446Upz/FsViQ9vKGazlFsqvZDOK4oGbWdS80zSj5mh/S7cy704kpU4CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T02:07:02.894179Z"},"content_sha256":"83ef8b78622a73adebc58b9a8dbf1ea762392ede0074e7050f4874215b33a454","schema_version":"1.0","event_id":"sha256:83ef8b78622a73adebc58b9a8dbf1ea762392ede0074e7050f4874215b33a454"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DZUCTIMI32J4E7ZQ347UAFOI7G/bundle.json","state_url":"https://pith.science/pith/DZUCTIMI32J4E7ZQ347UAFOI7G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DZUCTIMI32J4E7ZQ347UAFOI7G/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":"2026-06-01T02:07:02Z","links":{"resolver":"https://pith.science/pith/DZUCTIMI32J4E7ZQ347UAFOI7G","bundle":"https://pith.science/pith/DZUCTIMI32J4E7ZQ347UAFOI7G/bundle.json","state":"https://pith.science/pith/DZUCTIMI32J4E7ZQ347UAFOI7G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DZUCTIMI32J4E7ZQ347UAFOI7G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:DZUCTIMI32J4E7ZQ347UAFOI7G","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":"c301e13e157c0484ba2a8ee60ce4a46cf23cb998e51b389ab83005883134107e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-04-11T19:36:00Z","title_canon_sha256":"7ae5f141b79f0d95c64b684a2231dac73f2f12ef3f8dd58ff2798918d33605cc"},"schema_version":"1.0","source":{"id":"1604.03079","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.03079","created_at":"2026-05-17T23:53:34Z"},{"alias_kind":"arxiv_version","alias_value":"1604.03079v1","created_at":"2026-05-17T23:53:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.03079","created_at":"2026-05-17T23:53:34Z"},{"alias_kind":"pith_short_12","alias_value":"DZUCTIMI32J4","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DZUCTIMI32J4E7ZQ","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DZUCTIMI","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:83ef8b78622a73adebc58b9a8dbf1ea762392ede0074e7050f4874215b33a454","target":"graph","created_at":"2026-05-17T23:53:34Z","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 $M$ be an irreducible holomorphic symplectic (hyperk\\\"ahler) manifold. If $b_2(M)\\geq 5$, we construct a deformation $M'$ of $M$ which admits a symplectic automorphism of infinite order. This automorphism is hyperbolic, that is, its action on the space of real $(1,1)$-classes is hyperbolic. If $b_2(M) \\geq 14$, similarly, we construct a deformation which admits a parabolic automorphism.","authors_text":"Ekaterina Amerik, Misha Verbitsky","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-04-11T19:36:00Z","title":"Construction of automorphisms of hyperk\\\"ahler manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03079","kind":"arxiv","version":1},"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":"sha256:9499f2edf4e4806b92d53b9f678bd09c624c1f4a3fed6ad8670d5c2adac589be","target":"record","created_at":"2026-05-17T23:53:34Z","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":"c301e13e157c0484ba2a8ee60ce4a46cf23cb998e51b389ab83005883134107e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-04-11T19:36:00Z","title_canon_sha256":"7ae5f141b79f0d95c64b684a2231dac73f2f12ef3f8dd58ff2798918d33605cc"},"schema_version":"1.0","source":{"id":"1604.03079","kind":"arxiv","version":1}},"canonical_sha256":"1e6829a188de93c27f30df3f4015c8f996a0ac27c685cb4b587aeaf0539b55f8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e6829a188de93c27f30df3f4015c8f996a0ac27c685cb4b587aeaf0539b55f8","first_computed_at":"2026-05-17T23:53:34.217785Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:34.217785Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7EjSUPbZ72OIke2rNlL02kEHI/1dLeDSR6VmVx9fyoaPulr1TaVUZixvzG4fK/uzKbUkYrkxG6E1TawstIYsDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:34.218408Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.03079","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9499f2edf4e4806b92d53b9f678bd09c624c1f4a3fed6ad8670d5c2adac589be","sha256:83ef8b78622a73adebc58b9a8dbf1ea762392ede0074e7050f4874215b33a454"],"state_sha256":"e3262e7ba220cf4e4692285fabd98cb86324d8887b71899a8a45d4494b45bfa3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YinUyJvlfn2lvNn8QNlpI2Nnbf5S1U3nfry8UDnJkd0w7uELfpT2LQ0L3Czlg7YcBmNvozP/xejIRpoYtQYMAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T02:07:02.898611Z","bundle_sha256":"b97d6dc52619eb84d6c3f5929eb6cccb8d93b4de3beb35dd6abcb4c03082195f"}}