{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:5UBXQN53V3VZHQQLLAE2QFJ4VL","short_pith_number":"pith:5UBXQN53","schema_version":"1.0","canonical_sha256":"ed037837bbaeeb93c20b5809a8153caaebf88f02e3f01869368482c331f5e793","source":{"kind":"arxiv","id":"0908.2809","version":4},"attestation_state":"computed","paper":{"title":"Emergent Geometry from Quantized Spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Hyun Seok Yang, M. Sivakumar","submitted_at":"2009-08-20T08:56:52Z","abstract_excerpt":"We examine the picture of emergent geometry arising from a mass-deformed matrix model. Because of the mass-deformation, a vacuum geometry turns out to be a constant curvature spacetime such as d-dimensional sphere and (anti-)de Sitter spaces. We show that the mass-deformed matrix model giving rise to the constant curvature spacetime can be derived from the d-dimensional Snyder algebra. The emergent geometry beautifully confirms all the rationale inferred from the algebraic point of view that the d-dimensional Snyder algebra is equivalent to the Lorentz algebra in (d+1)-dimensional {\\it flat} s"},"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":"0908.2809","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-08-20T08:56:52Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"6c2b96650236be8bed9498a9d938f52139b460cd28cef15f5b1ae16af1b8f694","abstract_canon_sha256":"8baf20aaa962e16630f115ead2b66108bd0312ea1098c6ee8f169b0446167a8e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:34:37.678285Z","signature_b64":"K2MloFynL90wspL5Ig3wu5H3sNiat4mJeBf9vwgGjad7JmAoE5KT6vQ3AhXW2tg/DcDnK7arjgGlDuQqh8SvAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed037837bbaeeb93c20b5809a8153caaebf88f02e3f01869368482c331f5e793","last_reissued_at":"2026-05-18T02:34:37.677637Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:34:37.677637Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Emergent Geometry from Quantized Spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Hyun Seok Yang, M. Sivakumar","submitted_at":"2009-08-20T08:56:52Z","abstract_excerpt":"We examine the picture of emergent geometry arising from a mass-deformed matrix model. Because of the mass-deformation, a vacuum geometry turns out to be a constant curvature spacetime such as d-dimensional sphere and (anti-)de Sitter spaces. We show that the mass-deformed matrix model giving rise to the constant curvature spacetime can be derived from the d-dimensional Snyder algebra. The emergent geometry beautifully confirms all the rationale inferred from the algebraic point of view that the d-dimensional Snyder algebra is equivalent to the Lorentz algebra in (d+1)-dimensional {\\it flat} s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.2809","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":""},"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":"0908.2809","created_at":"2026-05-18T02:34:37.677729+00:00"},{"alias_kind":"arxiv_version","alias_value":"0908.2809v4","created_at":"2026-05-18T02:34:37.677729+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.2809","created_at":"2026-05-18T02:34:37.677729+00:00"},{"alias_kind":"pith_short_12","alias_value":"5UBXQN53V3VZ","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_16","alias_value":"5UBXQN53V3VZHQQL","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_8","alias_value":"5UBXQN53","created_at":"2026-05-18T12:25:58.837520+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5UBXQN53V3VZHQQLLAE2QFJ4VL","json":"https://pith.science/pith/5UBXQN53V3VZHQQLLAE2QFJ4VL.json","graph_json":"https://pith.science/api/pith-number/5UBXQN53V3VZHQQLLAE2QFJ4VL/graph.json","events_json":"https://pith.science/api/pith-number/5UBXQN53V3VZHQQLLAE2QFJ4VL/events.json","paper":"https://pith.science/paper/5UBXQN53"},"agent_actions":{"view_html":"https://pith.science/pith/5UBXQN53V3VZHQQLLAE2QFJ4VL","download_json":"https://pith.science/pith/5UBXQN53V3VZHQQLLAE2QFJ4VL.json","view_paper":"https://pith.science/paper/5UBXQN53","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0908.2809&json=true","fetch_graph":"https://pith.science/api/pith-number/5UBXQN53V3VZHQQLLAE2QFJ4VL/graph.json","fetch_events":"https://pith.science/api/pith-number/5UBXQN53V3VZHQQLLAE2QFJ4VL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5UBXQN53V3VZHQQLLAE2QFJ4VL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5UBXQN53V3VZHQQLLAE2QFJ4VL/action/storage_attestation","attest_author":"https://pith.science/pith/5UBXQN53V3VZHQQLLAE2QFJ4VL/action/author_attestation","sign_citation":"https://pith.science/pith/5UBXQN53V3VZHQQLLAE2QFJ4VL/action/citation_signature","submit_replication":"https://pith.science/pith/5UBXQN53V3VZHQQLLAE2QFJ4VL/action/replication_record"}},"created_at":"2026-05-18T02:34:37.677729+00:00","updated_at":"2026-05-18T02:34:37.677729+00:00"}