{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:7JQBP7MZOABJ4FO2VD53KX7XP3","short_pith_number":"pith:7JQBP7MZ","canonical_record":{"source":{"id":"1109.2292","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-09-11T08:03:10Z","cross_cats_sorted":[],"title_canon_sha256":"81c13afa97aba5effdae47fb6194bdecdf605162f74b8fc1dc28a5a14fe1255e","abstract_canon_sha256":"0f3ca9d6b16b6f7fae26138b6ae0b3f9ec00060a24a0b571dc0f4281925c57a3"},"schema_version":"1.0"},"canonical_sha256":"fa6017fd9970029e15daa8fbb55ff77edf6eb3b6daf3eb29cdb4d5fbf976ab83","source":{"kind":"arxiv","id":"1109.2292","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.2292","created_at":"2026-05-18T03:24:42Z"},{"alias_kind":"arxiv_version","alias_value":"1109.2292v1","created_at":"2026-05-18T03:24:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.2292","created_at":"2026-05-18T03:24:42Z"},{"alias_kind":"pith_short_12","alias_value":"7JQBP7MZOABJ","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"7JQBP7MZOABJ4FO2","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"7JQBP7MZ","created_at":"2026-05-18T12:26:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:7JQBP7MZOABJ4FO2VD53KX7XP3","target":"record","payload":{"canonical_record":{"source":{"id":"1109.2292","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-09-11T08:03:10Z","cross_cats_sorted":[],"title_canon_sha256":"81c13afa97aba5effdae47fb6194bdecdf605162f74b8fc1dc28a5a14fe1255e","abstract_canon_sha256":"0f3ca9d6b16b6f7fae26138b6ae0b3f9ec00060a24a0b571dc0f4281925c57a3"},"schema_version":"1.0"},"canonical_sha256":"fa6017fd9970029e15daa8fbb55ff77edf6eb3b6daf3eb29cdb4d5fbf976ab83","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:24:42.039579Z","signature_b64":"Q+EkVaaey1YjbpCQy4YIUyH+kLgpbwXrKCfCYju4Lkm0O7qvKQYytSmoNeUfwAIdAGf4cK1UAt/F1HMuervFBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fa6017fd9970029e15daa8fbb55ff77edf6eb3b6daf3eb29cdb4d5fbf976ab83","last_reissued_at":"2026-05-18T03:24:42.038711Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:24:42.038711Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.2292","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":"2026-05-18T03:24:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L7rZfiW7GKDdcme8wApOKO35DeB4PncHkGA2eH4C1NoMUSWX7xoL1dlf6147Wkz4LvGXsZo7kyM+DwHw4WDWBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T03:50:28.899779Z"},"content_sha256":"7c4996b3fd8fb1cb4e16cbd14e5d4d1fb1a5315d8580cec013b59236befcc782","schema_version":"1.0","event_id":"sha256:7c4996b3fd8fb1cb4e16cbd14e5d4d1fb1a5315d8580cec013b59236befcc782"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:7JQBP7MZOABJ4FO2VD53KX7XP3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Moduli of symplectic instanton vector bundles of higher rank on projective space $\\mathbb{P}^3$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"A. S. Tikhomirov, D. Markushevich, Ugo Bruzzo","submitted_at":"2011-09-11T08:03:10Z","abstract_excerpt":"Symplectic instanton vector bundles on the projective space $\\mathbb{P}^3$ constitute a natural generalization of mathematical instantons of rank 2. We study the moduli space $I_{n,r}$ of rank-$2r$ symplectic instanton vector bundles on $\\mathbb{P}^3$ with $r\\ge2$ and second Chern class $n\\ge r,\\ n\\equiv r({\\rm mod}2)$. We give an explicit construction of an irreducible component $I^*_{n,r}$ of this space for each such value of $n$ and show that $I^*_{n,r}$ has the expected dimension $4n(r+1)-r(2r+1)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.2292","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":"2026-05-18T03:24:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tbov7bHh/L+WvCQsApU4S91noqNWIjbQeUwoYqiDHEPD798HogYAPmlJShss/XbRYjlpMrH/wvKpRwDkjANsBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T03:50:28.900125Z"},"content_sha256":"83d325b6a00c53297ac7aeb0d579f4ccbee65a14914473c91d5053ce0e1d0eeb","schema_version":"1.0","event_id":"sha256:83d325b6a00c53297ac7aeb0d579f4ccbee65a14914473c91d5053ce0e1d0eeb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7JQBP7MZOABJ4FO2VD53KX7XP3/bundle.json","state_url":"https://pith.science/pith/7JQBP7MZOABJ4FO2VD53KX7XP3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7JQBP7MZOABJ4FO2VD53KX7XP3/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":"2026-06-04T03:50:28Z","links":{"resolver":"https://pith.science/pith/7JQBP7MZOABJ4FO2VD53KX7XP3","bundle":"https://pith.science/pith/7JQBP7MZOABJ4FO2VD53KX7XP3/bundle.json","state":"https://pith.science/pith/7JQBP7MZOABJ4FO2VD53KX7XP3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7JQBP7MZOABJ4FO2VD53KX7XP3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:7JQBP7MZOABJ4FO2VD53KX7XP3","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":"0f3ca9d6b16b6f7fae26138b6ae0b3f9ec00060a24a0b571dc0f4281925c57a3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-09-11T08:03:10Z","title_canon_sha256":"81c13afa97aba5effdae47fb6194bdecdf605162f74b8fc1dc28a5a14fe1255e"},"schema_version":"1.0","source":{"id":"1109.2292","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.2292","created_at":"2026-05-18T03:24:42Z"},{"alias_kind":"arxiv_version","alias_value":"1109.2292v1","created_at":"2026-05-18T03:24:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.2292","created_at":"2026-05-18T03:24:42Z"},{"alias_kind":"pith_short_12","alias_value":"7JQBP7MZOABJ","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"7JQBP7MZOABJ4FO2","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"7JQBP7MZ","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:83d325b6a00c53297ac7aeb0d579f4ccbee65a14914473c91d5053ce0e1d0eeb","target":"graph","created_at":"2026-05-18T03:24:42Z","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":"Symplectic instanton vector bundles on the projective space $\\mathbb{P}^3$ constitute a natural generalization of mathematical instantons of rank 2. We study the moduli space $I_{n,r}$ of rank-$2r$ symplectic instanton vector bundles on $\\mathbb{P}^3$ with $r\\ge2$ and second Chern class $n\\ge r,\\ n\\equiv r({\\rm mod}2)$. We give an explicit construction of an irreducible component $I^*_{n,r}$ of this space for each such value of $n$ and show that $I^*_{n,r}$ has the expected dimension $4n(r+1)-r(2r+1)$.","authors_text":"A. S. Tikhomirov, D. Markushevich, Ugo Bruzzo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-09-11T08:03:10Z","title":"Moduli of symplectic instanton vector bundles of higher rank on projective space $\\mathbb{P}^3$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.2292","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":"sha256:7c4996b3fd8fb1cb4e16cbd14e5d4d1fb1a5315d8580cec013b59236befcc782","target":"record","created_at":"2026-05-18T03:24:42Z","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":"0f3ca9d6b16b6f7fae26138b6ae0b3f9ec00060a24a0b571dc0f4281925c57a3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-09-11T08:03:10Z","title_canon_sha256":"81c13afa97aba5effdae47fb6194bdecdf605162f74b8fc1dc28a5a14fe1255e"},"schema_version":"1.0","source":{"id":"1109.2292","kind":"arxiv","version":1}},"canonical_sha256":"fa6017fd9970029e15daa8fbb55ff77edf6eb3b6daf3eb29cdb4d5fbf976ab83","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa6017fd9970029e15daa8fbb55ff77edf6eb3b6daf3eb29cdb4d5fbf976ab83","first_computed_at":"2026-05-18T03:24:42.038711Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:24:42.038711Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q+EkVaaey1YjbpCQy4YIUyH+kLgpbwXrKCfCYju4Lkm0O7qvKQYytSmoNeUfwAIdAGf4cK1UAt/F1HMuervFBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:24:42.039579Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.2292","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7c4996b3fd8fb1cb4e16cbd14e5d4d1fb1a5315d8580cec013b59236befcc782","sha256:83d325b6a00c53297ac7aeb0d579f4ccbee65a14914473c91d5053ce0e1d0eeb"],"state_sha256":"cecc8d190af0455259cbf97ce4f6cb076ecc6c446489e7418449d25fdaa8e2b4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pf12Cuy+ebIinnZNDHSI1VALE4z1ecpAfCX6xV3RmizneqdmK6OCLrU+kdJWrFRX6ffg5tKpLrrDOcyOTMQEDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T03:50:28.902942Z","bundle_sha256":"ae4ba2a15f4ae728ed57fe342513c86b3c267fc4e0a4dbc007ad8652397a22f9"}}