{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:RIRB6VJRESRVCFALKHPZJY6SCL","short_pith_number":"pith:RIRB6VJR","canonical_record":{"source":{"id":"1504.05883","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-04-22T16:57:16Z","cross_cats_sorted":[],"title_canon_sha256":"44afa91f29fbce00703c7a49f4597761803c1221aa0256edc0f6483fbc011bf8","abstract_canon_sha256":"103da6ce5f75455b91ee5b459912c5cec86695e62312badaffe352a0d0934488"},"schema_version":"1.0"},"canonical_sha256":"8a221f553124a351140b51df94e3d212efa2d7675ee27f137f6e227f1d9b8e5d","source":{"kind":"arxiv","id":"1504.05883","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.05883","created_at":"2026-05-18T00:18:32Z"},{"alias_kind":"arxiv_version","alias_value":"1504.05883v2","created_at":"2026-05-18T00:18:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.05883","created_at":"2026-05-18T00:18:32Z"},{"alias_kind":"pith_short_12","alias_value":"RIRB6VJRESRV","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RIRB6VJRESRVCFAL","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RIRB6VJR","created_at":"2026-05-18T12:29:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:RIRB6VJRESRVCFALKHPZJY6SCL","target":"record","payload":{"canonical_record":{"source":{"id":"1504.05883","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-04-22T16:57:16Z","cross_cats_sorted":[],"title_canon_sha256":"44afa91f29fbce00703c7a49f4597761803c1221aa0256edc0f6483fbc011bf8","abstract_canon_sha256":"103da6ce5f75455b91ee5b459912c5cec86695e62312badaffe352a0d0934488"},"schema_version":"1.0"},"canonical_sha256":"8a221f553124a351140b51df94e3d212efa2d7675ee27f137f6e227f1d9b8e5d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:32.231449Z","signature_b64":"ugOJNOqrvvY/yo6hh71L3cmxLvvH9yoZ+U7T7rTSFHsrRG1Uke/+M2NDrnOXxqK1g6J+eoFWgG7Ur5wvQAyvDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8a221f553124a351140b51df94e3d212efa2d7675ee27f137f6e227f1d9b8e5d","last_reissued_at":"2026-05-18T00:18:32.231062Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:32.231062Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.05883","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":"2026-05-18T00:18:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5VB5YSBjigMHDiK1fBKKwfC1JhPa/8GbqnppXwTsmv9BesawO23hNTl7297fJ7kluadwemu3KRIvIS4SMdZKAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T11:42:33.175162Z"},"content_sha256":"7f2001f0b1e3a60e01e16ac56bfb333c41517193b3cf2569bfe17915197649c5","schema_version":"1.0","event_id":"sha256:7f2001f0b1e3a60e01e16ac56bfb333c41517193b3cf2569bfe17915197649c5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:RIRB6VJRESRVCFALKHPZJY6SCL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Branes in the moduli space of framed instantons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Emilio Franco, Marcos Jardim, Simone Marchesi","submitted_at":"2015-04-22T16:57:16Z","abstract_excerpt":"In the physicist's language, a brane in a hyperkahler manifold is a submanifold which is either complex or lagrangian with respect to three Kahler structures of the ambient manifold. By considering the fixed loci of certain involutions, we describe branes in Nakajima quiver varieties of all possible types. We then focus on the moduli space of framed torsion free sheaves on the projective plane, showing how the involutions considered act on sheaves, and proving the existence of branes in some cases."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.05883","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":"2026-05-18T00:18:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XUBIPZkzzQV3O97qEIhJo45RWQ5fFQnGAkMhJc1+f7QFipptL6WS80SmccmRtB1Y8JBQBPq5kD7gvSXiuEpDCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T11:42:33.175796Z"},"content_sha256":"2278d2567ad84dc18075ab4317f471310a543d7a9043a6439b1c1d5c42b24bee","schema_version":"1.0","event_id":"sha256:2278d2567ad84dc18075ab4317f471310a543d7a9043a6439b1c1d5c42b24bee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RIRB6VJRESRVCFALKHPZJY6SCL/bundle.json","state_url":"https://pith.science/pith/RIRB6VJRESRVCFALKHPZJY6SCL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RIRB6VJRESRVCFALKHPZJY6SCL/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":"2026-06-10T11:42:33Z","links":{"resolver":"https://pith.science/pith/RIRB6VJRESRVCFALKHPZJY6SCL","bundle":"https://pith.science/pith/RIRB6VJRESRVCFALKHPZJY6SCL/bundle.json","state":"https://pith.science/pith/RIRB6VJRESRVCFALKHPZJY6SCL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RIRB6VJRESRVCFALKHPZJY6SCL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:RIRB6VJRESRVCFALKHPZJY6SCL","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":"103da6ce5f75455b91ee5b459912c5cec86695e62312badaffe352a0d0934488","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-04-22T16:57:16Z","title_canon_sha256":"44afa91f29fbce00703c7a49f4597761803c1221aa0256edc0f6483fbc011bf8"},"schema_version":"1.0","source":{"id":"1504.05883","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.05883","created_at":"2026-05-18T00:18:32Z"},{"alias_kind":"arxiv_version","alias_value":"1504.05883v2","created_at":"2026-05-18T00:18:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.05883","created_at":"2026-05-18T00:18:32Z"},{"alias_kind":"pith_short_12","alias_value":"RIRB6VJRESRV","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RIRB6VJRESRVCFAL","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RIRB6VJR","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:2278d2567ad84dc18075ab4317f471310a543d7a9043a6439b1c1d5c42b24bee","target":"graph","created_at":"2026-05-18T00:18:32Z","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":"In the physicist's language, a brane in a hyperkahler manifold is a submanifold which is either complex or lagrangian with respect to three Kahler structures of the ambient manifold. By considering the fixed loci of certain involutions, we describe branes in Nakajima quiver varieties of all possible types. We then focus on the moduli space of framed torsion free sheaves on the projective plane, showing how the involutions considered act on sheaves, and proving the existence of branes in some cases.","authors_text":"Emilio Franco, Marcos Jardim, Simone Marchesi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-04-22T16:57:16Z","title":"Branes in the moduli space of framed instantons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.05883","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":"sha256:7f2001f0b1e3a60e01e16ac56bfb333c41517193b3cf2569bfe17915197649c5","target":"record","created_at":"2026-05-18T00:18:32Z","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":"103da6ce5f75455b91ee5b459912c5cec86695e62312badaffe352a0d0934488","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-04-22T16:57:16Z","title_canon_sha256":"44afa91f29fbce00703c7a49f4597761803c1221aa0256edc0f6483fbc011bf8"},"schema_version":"1.0","source":{"id":"1504.05883","kind":"arxiv","version":2}},"canonical_sha256":"8a221f553124a351140b51df94e3d212efa2d7675ee27f137f6e227f1d9b8e5d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8a221f553124a351140b51df94e3d212efa2d7675ee27f137f6e227f1d9b8e5d","first_computed_at":"2026-05-18T00:18:32.231062Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:32.231062Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ugOJNOqrvvY/yo6hh71L3cmxLvvH9yoZ+U7T7rTSFHsrRG1Uke/+M2NDrnOXxqK1g6J+eoFWgG7Ur5wvQAyvDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:32.231449Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.05883","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7f2001f0b1e3a60e01e16ac56bfb333c41517193b3cf2569bfe17915197649c5","sha256:2278d2567ad84dc18075ab4317f471310a543d7a9043a6439b1c1d5c42b24bee"],"state_sha256":"e998ab74ae538e2145e2000b1b7a18caaaceabc29f82440a14b39e1cebda9865"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yr8ucPXAFTVOWDtGKoPDM4n1S2/69h8HPVkmWZXbxf0f946ETj80pwsN/J0N/UO+rkwxXlNSehxmcWQsVPX0CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T11:42:33.179837Z","bundle_sha256":"57e34b83107740b1b15438262e0a2e67df9414782f4a5cb72dec7540c7a7f58f"}}