{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:VDNVOJGZ73VIDUJBEF2FD6NL2D","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":"aa6a74337b22f5f0d8c0e59806a9f0691fab12d317ade90dc64b80d780c71268","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2004-12-17T10:13:11Z","title_canon_sha256":"f83c12177016903b1ef43432cf2fe6b4c71be9dd335b471a895e5a99ee732e5e"},"schema_version":"1.0","source":{"id":"hep-th/0412194","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0412194","created_at":"2026-05-18T04:35:22Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0412194v1","created_at":"2026-05-18T04:35:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0412194","created_at":"2026-05-18T04:35:22Z"},{"alias_kind":"pith_short_12","alias_value":"VDNVOJGZ73VI","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"VDNVOJGZ73VIDUJB","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"VDNVOJGZ","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:fb772cd9c317991132142c4a26f0db877ec702d6970ae1153dcd2bde64596ae9","target":"graph","created_at":"2026-05-18T04:35:22Z","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":"Recently the gaussian expansion method has been applied to investigate the dynamical generation of 4d space-time in the IIB matrix model, which is a conjectured nonperturbative definition of type IIB superstring theory in 10 dimensions. Evidence for such a phenomenon, which is associated with the spontaneous breaking of the SO(10) symmetry down to SO(4), has been obtained up to the 7-th order calculations. Here we apply the same method to a simplified model, which is expected to exhibit an analogous spontaneous symmetry breaking via the same mechanism as conjectured for the IIB matrix model. T","authors_text":"Fumihiko Sugino, Jun Nishimura, Toshiyuki Okubo","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2004-12-17T10:13:11Z","title":"Gaussian expansion analysis of a matrix model with the spontaneous breakdown of rotational symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0412194","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":"sha256:4819d478602aa9ceaacb02e2fd55db2e0e94cb4c0a01e51ec277172cd9a8ed98","target":"record","created_at":"2026-05-18T04:35:22Z","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":"aa6a74337b22f5f0d8c0e59806a9f0691fab12d317ade90dc64b80d780c71268","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2004-12-17T10:13:11Z","title_canon_sha256":"f83c12177016903b1ef43432cf2fe6b4c71be9dd335b471a895e5a99ee732e5e"},"schema_version":"1.0","source":{"id":"hep-th/0412194","kind":"arxiv","version":1}},"canonical_sha256":"a8db5724d9feea81d121217451f9abd0fdf922a8a7b07703c0a56e72f5fca0cf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a8db5724d9feea81d121217451f9abd0fdf922a8a7b07703c0a56e72f5fca0cf","first_computed_at":"2026-05-18T04:35:22.960379Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:35:22.960379Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"22/vc1kSF1r6bnxO6Dlc+VmEvY6C62gG77fXYfXhNblDH0xr3VHLXDLrQqeNVrUr1kTGgtBzeqS7MJcNjRHfAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:35:22.960748Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0412194","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4819d478602aa9ceaacb02e2fd55db2e0e94cb4c0a01e51ec277172cd9a8ed98","sha256:fb772cd9c317991132142c4a26f0db877ec702d6970ae1153dcd2bde64596ae9"],"state_sha256":"08510f4bc82540ee12e2d5952ae49893357c910294d5f174901a40de3f448f8e"}