{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:LCQGADUBXXCFBMGYNJ7WP2X5AX","short_pith_number":"pith:LCQGADUB","schema_version":"1.0","canonical_sha256":"58a0600e81bdc450b0d86a7f67eafd05cf0c6ed2c8e6f6500b595af0e34160b3","source":{"kind":"arxiv","id":"2110.06677","version":1},"attestation_state":"computed","paper":{"title":"Quantized Noncommutative Geometry from Multitrace Matrix Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-lat"],"primary_cat":"hep-th","authors_text":"Badis Ydri, Cherine Soudani, Ramda Khaled","submitted_at":"2021-10-13T12:26:29Z","abstract_excerpt":"In this article the geometry of quantum gravity is quantized in the sense of being noncommutative (first quantization) but it is also quantized in the sense of being emergent (second quantization). A new mechanism for quantum geometry is proposed in which noncommutative geometry can emerge from \"one-matrix multitrace scalar matrix models\" by probing the statistical physics of commutative phases of matter. This is in contrast to the usual mechanism in which noncommutative geometry emerges from \"many-matrix singletrace Yang-Mills matrix models\" by probing the statistical physics of noncommutativ"},"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":"2110.06677","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-10-13T12:26:29Z","cross_cats_sorted":["gr-qc","hep-lat"],"title_canon_sha256":"9f0cf101d54997397330f6283b7e509b7dab02b25ec6a4b9579640638154dc59","abstract_canon_sha256":"c2dc6ec3662ae090c547d4142a35667c02ea041791e2ec3286abcd661afb869b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:35:38.749409Z","signature_b64":"VOifi51semQ1SnPyX/AchBTUzgm2GTeYiE6ZzQnvUe9YurFEvzPDO7E85PcUoV14D/gcJYvz41vsPFfJayKpDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"58a0600e81bdc450b0d86a7f67eafd05cf0c6ed2c8e6f6500b595af0e34160b3","last_reissued_at":"2026-07-05T04:35:38.748931Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:35:38.748931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantized Noncommutative Geometry from Multitrace Matrix Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-lat"],"primary_cat":"hep-th","authors_text":"Badis Ydri, Cherine Soudani, Ramda Khaled","submitted_at":"2021-10-13T12:26:29Z","abstract_excerpt":"In this article the geometry of quantum gravity is quantized in the sense of being noncommutative (first quantization) but it is also quantized in the sense of being emergent (second quantization). A new mechanism for quantum geometry is proposed in which noncommutative geometry can emerge from \"one-matrix multitrace scalar matrix models\" by probing the statistical physics of commutative phases of matter. This is in contrast to the usual mechanism in which noncommutative geometry emerges from \"many-matrix singletrace Yang-Mills matrix models\" by probing the statistical physics of noncommutativ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.06677","kind":"arxiv","version":1},"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/2110.06677/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":"2110.06677","created_at":"2026-07-05T04:35:38.748989+00:00"},{"alias_kind":"arxiv_version","alias_value":"2110.06677v1","created_at":"2026-07-05T04:35:38.748989+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.06677","created_at":"2026-07-05T04:35:38.748989+00:00"},{"alias_kind":"pith_short_12","alias_value":"LCQGADUBXXCF","created_at":"2026-07-05T04:35:38.748989+00:00"},{"alias_kind":"pith_short_16","alias_value":"LCQGADUBXXCFBMGY","created_at":"2026-07-05T04:35:38.748989+00:00"},{"alias_kind":"pith_short_8","alias_value":"LCQGADUB","created_at":"2026-07-05T04:35:38.748989+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.08481","citing_title":"Gram--Wishart--Stiefel formulation of the $N=2$, large--$d$ gauge theory in 1D","ref_index":73,"is_internal_anchor":true},{"citing_arxiv_id":"2606.17758","citing_title":"A Double--Scaling Large--\\(d\\) Saddle of BFSS/BMN Matrix Quantum Mechanics","ref_index":62,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LCQGADUBXXCFBMGYNJ7WP2X5AX","json":"https://pith.science/pith/LCQGADUBXXCFBMGYNJ7WP2X5AX.json","graph_json":"https://pith.science/api/pith-number/LCQGADUBXXCFBMGYNJ7WP2X5AX/graph.json","events_json":"https://pith.science/api/pith-number/LCQGADUBXXCFBMGYNJ7WP2X5AX/events.json","paper":"https://pith.science/paper/LCQGADUB"},"agent_actions":{"view_html":"https://pith.science/pith/LCQGADUBXXCFBMGYNJ7WP2X5AX","download_json":"https://pith.science/pith/LCQGADUBXXCFBMGYNJ7WP2X5AX.json","view_paper":"https://pith.science/paper/LCQGADUB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2110.06677&json=true","fetch_graph":"https://pith.science/api/pith-number/LCQGADUBXXCFBMGYNJ7WP2X5AX/graph.json","fetch_events":"https://pith.science/api/pith-number/LCQGADUBXXCFBMGYNJ7WP2X5AX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LCQGADUBXXCFBMGYNJ7WP2X5AX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LCQGADUBXXCFBMGYNJ7WP2X5AX/action/storage_attestation","attest_author":"https://pith.science/pith/LCQGADUBXXCFBMGYNJ7WP2X5AX/action/author_attestation","sign_citation":"https://pith.science/pith/LCQGADUBXXCFBMGYNJ7WP2X5AX/action/citation_signature","submit_replication":"https://pith.science/pith/LCQGADUBXXCFBMGYNJ7WP2X5AX/action/replication_record"}},"created_at":"2026-07-05T04:35:38.748989+00:00","updated_at":"2026-07-05T04:35:38.748989+00:00"}