{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:RD77DSP4YSHDJG37QLWFKI2FMX","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":"c1d0924829e6848aa1ea286bede3a432b7eb880120105c47ec57f155627adc39","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-06-04T20:04:33Z","title_canon_sha256":"dc8cf355aa7c179566059c25cb1ab30bf512db0d35ceee38a5dd1630d8dc8a42"},"schema_version":"1.0","source":{"id":"1506.01722","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.01722","created_at":"2026-05-18T01:49:31Z"},{"alias_kind":"arxiv_version","alias_value":"1506.01722v2","created_at":"2026-05-18T01:49:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.01722","created_at":"2026-05-18T01:49:31Z"},{"alias_kind":"pith_short_12","alias_value":"RD77DSP4YSHD","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RD77DSP4YSHDJG37","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RD77DSP4","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:5b83c4fe076809a2ac3cd2ef58116e9c3e3ed09526b27931badb26efba09017e","target":"graph","created_at":"2026-05-18T01:49:31Z","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 construct various exact analytical solutions of the $SO(3)$ BMN matrix model that correspond to rotating fuzzy spheres and rotating fuzzy tori.These are also solutions of Yang Mills theory compactified on a sphere times time and they are also translationally invariant solutions of the $\\mathcal{N} = 1^*$ field theory with a non-trivial charge density. The solutions we construct have a $\\mathbb{Z}_N$ symmetry, where $N$ is the rank of the matrices. After an appropriate ansatz, we reduce the problem to solving a set of polynomial equations in $2N$ real variables. These equations have a discre","authors_text":"David Berenstein, Eric Dzienkowski, Robin Lashof-Regas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-06-04T20:04:33Z","title":"Spinning the Fuzzy Sphere"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.01722","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:aef5820079f55ed484497624aa05872cc61a7633d939cbdcd2e9c2af550a5546","target":"record","created_at":"2026-05-18T01:49:31Z","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":"c1d0924829e6848aa1ea286bede3a432b7eb880120105c47ec57f155627adc39","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-06-04T20:04:33Z","title_canon_sha256":"dc8cf355aa7c179566059c25cb1ab30bf512db0d35ceee38a5dd1630d8dc8a42"},"schema_version":"1.0","source":{"id":"1506.01722","kind":"arxiv","version":2}},"canonical_sha256":"88fff1c9fcc48e349b7f82ec55234565fc9dff0ce28f3d5048ce148ee8eccbe5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"88fff1c9fcc48e349b7f82ec55234565fc9dff0ce28f3d5048ce148ee8eccbe5","first_computed_at":"2026-05-18T01:49:31.058025Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:49:31.058025Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VPzN/OnL5SjweYooj0LJSJf6sRiM4a/uupQQcWl+dsmcu/fjt45xANsEBjj0LisR3n7Hod04Dgq5JXxJd9YtBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:49:31.058430Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.01722","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aef5820079f55ed484497624aa05872cc61a7633d939cbdcd2e9c2af550a5546","sha256:5b83c4fe076809a2ac3cd2ef58116e9c3e3ed09526b27931badb26efba09017e"],"state_sha256":"b5645198fe55227c5c51d89d4ac89fb55407d8c16b91d570d9967910ee0b4f46"}