{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:RQH6PTLCO5WNT3II7F255NVFC7","short_pith_number":"pith:RQH6PTLC","schema_version":"1.0","canonical_sha256":"8c0fe7cd62776cd9ed08f975deb6a517cb8d62110621736590e4fc6d95dd88f3","source":{"kind":"arxiv","id":"0806.0558","version":4},"attestation_state":"computed","paper":{"title":"Matrix Models, Gauge Theory and Emergent Geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Badis Ydri, Denjoe O'Connor, Rodrigo Delgadillo-Blando","submitted_at":"2008-06-03T14:24:08Z","abstract_excerpt":"We present, theoretical predictions and Monte Carlo simulations, for a simple three matrix model that exhibits an exotic phase transition. The nature of the transition is very different if approached from the high or low temperature side. The high temperature phase is described by three self interacting random matrices with no background spacetime geometry. As the system cools there is a phase transition in which a classical two-sphere condenses to form the background geometry. The transition has an entropy jump or latent heat, yet the specific heat diverges as the transition is approached fro"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0806.0558","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-06-03T14:24:08Z","cross_cats_sorted":[],"title_canon_sha256":"7fd910ec969e4434adc2c3802d19fa962afef325a17b1340e7ddc3e0a81776a6","abstract_canon_sha256":"2c9f2637f84d91aaf32351a63edd7eaa844e4e6fb790b6927b8262177bb53d1c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:19:24.999808Z","signature_b64":"RDwWMfFfGYeSHsdGGrFa5eDjUkSt1twK/JGJDGsXPU8WKdqMAOM9vLiZR0LPwMd/7yMGvH3qRRf7McpUcquMAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c0fe7cd62776cd9ed08f975deb6a517cb8d62110621736590e4fc6d95dd88f3","last_reissued_at":"2026-07-04T17:19:24.999379Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:19:24.999379Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Matrix Models, Gauge Theory and Emergent Geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Badis Ydri, Denjoe O'Connor, Rodrigo Delgadillo-Blando","submitted_at":"2008-06-03T14:24:08Z","abstract_excerpt":"We present, theoretical predictions and Monte Carlo simulations, for a simple three matrix model that exhibits an exotic phase transition. The nature of the transition is very different if approached from the high or low temperature side. The high temperature phase is described by three self interacting random matrices with no background spacetime geometry. As the system cools there is a phase transition in which a classical two-sphere condenses to form the background geometry. The transition has an entropy jump or latent heat, yet the specific heat diverges as the transition is approached fro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.0558","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0806.0558/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"0806.0558","created_at":"2026-07-04T17:19:24.999448+00:00"},{"alias_kind":"arxiv_version","alias_value":"0806.0558v4","created_at":"2026-07-04T17:19:24.999448+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.0558","created_at":"2026-07-04T17:19:24.999448+00:00"},{"alias_kind":"pith_short_12","alias_value":"RQH6PTLCO5WN","created_at":"2026-07-04T17:19:24.999448+00:00"},{"alias_kind":"pith_short_16","alias_value":"RQH6PTLCO5WNT3II","created_at":"2026-07-04T17:19:24.999448+00:00"},{"alias_kind":"pith_short_8","alias_value":"RQH6PTLC","created_at":"2026-07-04T17:19:24.999448+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.13294","citing_title":"Quantum spacetime and quantum fluctuations in the IKKT model at weak coupling","ref_index":25,"is_internal_anchor":true},{"citing_arxiv_id":"2605.06985","citing_title":"Real-Time Quantum Dynamics on the Fuzzy Sphere: Chaos and Entanglement","ref_index":23,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RQH6PTLCO5WNT3II7F255NVFC7","json":"https://pith.science/pith/RQH6PTLCO5WNT3II7F255NVFC7.json","graph_json":"https://pith.science/api/pith-number/RQH6PTLCO5WNT3II7F255NVFC7/graph.json","events_json":"https://pith.science/api/pith-number/RQH6PTLCO5WNT3II7F255NVFC7/events.json","paper":"https://pith.science/paper/RQH6PTLC"},"agent_actions":{"view_html":"https://pith.science/pith/RQH6PTLCO5WNT3II7F255NVFC7","download_json":"https://pith.science/pith/RQH6PTLCO5WNT3II7F255NVFC7.json","view_paper":"https://pith.science/paper/RQH6PTLC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0806.0558&json=true","fetch_graph":"https://pith.science/api/pith-number/RQH6PTLCO5WNT3II7F255NVFC7/graph.json","fetch_events":"https://pith.science/api/pith-number/RQH6PTLCO5WNT3II7F255NVFC7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RQH6PTLCO5WNT3II7F255NVFC7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RQH6PTLCO5WNT3II7F255NVFC7/action/storage_attestation","attest_author":"https://pith.science/pith/RQH6PTLCO5WNT3II7F255NVFC7/action/author_attestation","sign_citation":"https://pith.science/pith/RQH6PTLCO5WNT3II7F255NVFC7/action/citation_signature","submit_replication":"https://pith.science/pith/RQH6PTLCO5WNT3II7F255NVFC7/action/replication_record"}},"created_at":"2026-07-04T17:19:24.999448+00:00","updated_at":"2026-07-04T17:19:24.999448+00:00"}