{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:MGM2OIJ5FAQA7GQDZ3OBIWFJMM","short_pith_number":"pith:MGM2OIJ5","canonical_record":{"source":{"id":"1305.4772","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-05-21T10:04:47Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"b897bfe97f203617882247fceaa44dbff9a0d0db7bb0b4370ad5c29b95a2a702","abstract_canon_sha256":"e2b41d0109677edb13176df5d0c0e9fd8b95413a891f3292be2e9e2ca4c108f3"},"schema_version":"1.0"},"canonical_sha256":"6199a7213d28200f9a03cedc1458a9630771965ea2f00ccd671585cd84c0d2a8","source":{"kind":"arxiv","id":"1305.4772","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.4772","created_at":"2026-05-18T02:59:30Z"},{"alias_kind":"arxiv_version","alias_value":"1305.4772v2","created_at":"2026-05-18T02:59:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.4772","created_at":"2026-05-18T02:59:30Z"},{"alias_kind":"pith_short_12","alias_value":"MGM2OIJ5FAQA","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MGM2OIJ5FAQA7GQD","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MGM2OIJ5","created_at":"2026-05-18T12:27:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:MGM2OIJ5FAQA7GQDZ3OBIWFJMM","target":"record","payload":{"canonical_record":{"source":{"id":"1305.4772","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-05-21T10:04:47Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"b897bfe97f203617882247fceaa44dbff9a0d0db7bb0b4370ad5c29b95a2a702","abstract_canon_sha256":"e2b41d0109677edb13176df5d0c0e9fd8b95413a891f3292be2e9e2ca4c108f3"},"schema_version":"1.0"},"canonical_sha256":"6199a7213d28200f9a03cedc1458a9630771965ea2f00ccd671585cd84c0d2a8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:59:30.555416Z","signature_b64":"wQdBWPfe7lDYytizW6oJacp4IZ7S8r15bIpwld8NJICUc7bX89f6q6AWjeXIeKAMDBMQsG6E/RM4l9rpKjPiDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6199a7213d28200f9a03cedc1458a9630771965ea2f00ccd671585cd84c0d2a8","last_reissued_at":"2026-05-18T02:59:30.554685Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:59:30.554685Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.4772","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":"2026-05-18T02:59:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U316U9zgWUZQ81h+/mR5ZlCPDujsNcyC5gXbErryT+4AyL1kc6iqG5Wb7svkd2jNcEsehq1ZLWumhq2/PuH8AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T14:15:49.500223Z"},"content_sha256":"729e98e944449260ba5d2557755fa4dab296f51c726cbfd3ef4f6b800d445dd8","schema_version":"1.0","event_id":"sha256:729e98e944449260ba5d2557755fa4dab296f51c726cbfd3ef4f6b800d445dd8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:MGM2OIJ5FAQA7GQDZ3OBIWFJMM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Implosions and hypertoric geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.SG","authors_text":"Andrew Dancer, Andrew Swann, Frances Kirwan","submitted_at":"2013-05-21T10:04:47Z","abstract_excerpt":"The geometry of the universal hyperKaehler implosion for SU(n) is explored. In particular, we show that the universal hyperKaehler implosion naturally contains a hypertoric variety described in terms of quivers. Furthermore, we discuss a gauge theoretic approach to hyperKaehler implosion."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.4772","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":"2026-05-18T02:59:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y7/wZGzYOlfFcE5A7rGrIj0VbjRLrardP3Xl89r+3jLGPFXUp6HbAZizW293uSZClXfbr5DVM31XF+JHfBBrBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T14:15:49.500595Z"},"content_sha256":"abc207762b5683c0b82c052dc78d3b4d444149421c5aaa03442082ffd0a47c48","schema_version":"1.0","event_id":"sha256:abc207762b5683c0b82c052dc78d3b4d444149421c5aaa03442082ffd0a47c48"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MGM2OIJ5FAQA7GQDZ3OBIWFJMM/bundle.json","state_url":"https://pith.science/pith/MGM2OIJ5FAQA7GQDZ3OBIWFJMM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MGM2OIJ5FAQA7GQDZ3OBIWFJMM/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":"2026-05-28T14:15:49Z","links":{"resolver":"https://pith.science/pith/MGM2OIJ5FAQA7GQDZ3OBIWFJMM","bundle":"https://pith.science/pith/MGM2OIJ5FAQA7GQDZ3OBIWFJMM/bundle.json","state":"https://pith.science/pith/MGM2OIJ5FAQA7GQDZ3OBIWFJMM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MGM2OIJ5FAQA7GQDZ3OBIWFJMM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:MGM2OIJ5FAQA7GQDZ3OBIWFJMM","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":"e2b41d0109677edb13176df5d0c0e9fd8b95413a891f3292be2e9e2ca4c108f3","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-05-21T10:04:47Z","title_canon_sha256":"b897bfe97f203617882247fceaa44dbff9a0d0db7bb0b4370ad5c29b95a2a702"},"schema_version":"1.0","source":{"id":"1305.4772","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.4772","created_at":"2026-05-18T02:59:30Z"},{"alias_kind":"arxiv_version","alias_value":"1305.4772v2","created_at":"2026-05-18T02:59:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.4772","created_at":"2026-05-18T02:59:30Z"},{"alias_kind":"pith_short_12","alias_value":"MGM2OIJ5FAQA","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MGM2OIJ5FAQA7GQD","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MGM2OIJ5","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:abc207762b5683c0b82c052dc78d3b4d444149421c5aaa03442082ffd0a47c48","target":"graph","created_at":"2026-05-18T02:59:30Z","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":"The geometry of the universal hyperKaehler implosion for SU(n) is explored. In particular, we show that the universal hyperKaehler implosion naturally contains a hypertoric variety described in terms of quivers. Furthermore, we discuss a gauge theoretic approach to hyperKaehler implosion.","authors_text":"Andrew Dancer, Andrew Swann, Frances Kirwan","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-05-21T10:04:47Z","title":"Implosions and hypertoric geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.4772","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":"sha256:729e98e944449260ba5d2557755fa4dab296f51c726cbfd3ef4f6b800d445dd8","target":"record","created_at":"2026-05-18T02:59:30Z","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":"e2b41d0109677edb13176df5d0c0e9fd8b95413a891f3292be2e9e2ca4c108f3","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-05-21T10:04:47Z","title_canon_sha256":"b897bfe97f203617882247fceaa44dbff9a0d0db7bb0b4370ad5c29b95a2a702"},"schema_version":"1.0","source":{"id":"1305.4772","kind":"arxiv","version":2}},"canonical_sha256":"6199a7213d28200f9a03cedc1458a9630771965ea2f00ccd671585cd84c0d2a8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6199a7213d28200f9a03cedc1458a9630771965ea2f00ccd671585cd84c0d2a8","first_computed_at":"2026-05-18T02:59:30.554685Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:30.554685Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wQdBWPfe7lDYytizW6oJacp4IZ7S8r15bIpwld8NJICUc7bX89f6q6AWjeXIeKAMDBMQsG6E/RM4l9rpKjPiDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:30.555416Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.4772","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:729e98e944449260ba5d2557755fa4dab296f51c726cbfd3ef4f6b800d445dd8","sha256:abc207762b5683c0b82c052dc78d3b4d444149421c5aaa03442082ffd0a47c48"],"state_sha256":"94dafc9af7db223369e65e684c0decd00ed76fb0b843b364de7cbc5593a63df9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nUY3IqlknA95+fvn7Bc3k4oC17cOt0SCxzYZI8o5HxImCFx8eRGD95b8kqoU6l0zYcR8CIU7ffG7cnHKeH+fAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T14:15:49.502533Z","bundle_sha256":"6b54ae0b335f2b08154d5c53edd2fd8a99ccf6f501946a9c38da32040072a9ca"}}