{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:5BZVDASBJDTY5DILNJSXIV52OE","short_pith_number":"pith:5BZVDASB","schema_version":"1.0","canonical_sha256":"e87351824148e78e8d0b6a657457ba7118dba07650f13b4233a185bb65954ad4","source":{"kind":"arxiv","id":"1612.00713","version":2},"attestation_state":"computed","paper":{"title":"Scaling behaviour in random non-commutative geometries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-th"],"primary_cat":"gr-qc","authors_text":"Lisa Glaser","submitted_at":"2016-12-02T15:47:21Z","abstract_excerpt":"Random non-commutative geometries are a novel approach to taking a non-perturbative path integral over geometries. They were introduced in arxiv.org/abs/1510.01377, where a first examination was performed. During this examination we found that some geometries show indications of a phase transition. In this article we explore this phase transition further for geometries of type $(1,1)$, $(2,0)$, and $(1,3)$. We determine the pseudo critical points of these geometries and explore how some of the observables scale with the system size. We also undertake first steps towards understanding the criti"},"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":"1612.00713","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-12-02T15:47:21Z","cross_cats_sorted":["hep-lat","hep-th"],"title_canon_sha256":"e8b109336b2ae9e309f8f237d0aeae6405ce4a878d36223b8c85164f09832a0a","abstract_canon_sha256":"fe208fbc80923d739da032aa13d9b48d47da97738977f130567ac27077d2fb7c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:30.296936Z","signature_b64":"d37+7Pyi++oWhCQZZMsgHYZVD3w8E4hGP2sEafbJK6dlueO6+AOkxxdLLenN95gfUDdH73of8jfJbDLiN+5IDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e87351824148e78e8d0b6a657457ba7118dba07650f13b4233a185bb65954ad4","last_reissued_at":"2026-05-18T00:42:30.296422Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:30.296422Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Scaling behaviour in random non-commutative geometries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-th"],"primary_cat":"gr-qc","authors_text":"Lisa Glaser","submitted_at":"2016-12-02T15:47:21Z","abstract_excerpt":"Random non-commutative geometries are a novel approach to taking a non-perturbative path integral over geometries. They were introduced in arxiv.org/abs/1510.01377, where a first examination was performed. During this examination we found that some geometries show indications of a phase transition. In this article we explore this phase transition further for geometries of type $(1,1)$, $(2,0)$, and $(1,3)$. We determine the pseudo critical points of these geometries and explore how some of the observables scale with the system size. We also undertake first steps towards understanding the criti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.00713","kind":"arxiv","version":2},"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":"1612.00713","created_at":"2026-05-18T00:42:30.296503+00:00"},{"alias_kind":"arxiv_version","alias_value":"1612.00713v2","created_at":"2026-05-18T00:42:30.296503+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.00713","created_at":"2026-05-18T00:42:30.296503+00:00"},{"alias_kind":"pith_short_12","alias_value":"5BZVDASBJDTY","created_at":"2026-05-18T12:29:58.707656+00:00"},{"alias_kind":"pith_short_16","alias_value":"5BZVDASBJDTY5DIL","created_at":"2026-05-18T12:29:58.707656+00:00"},{"alias_kind":"pith_short_8","alias_value":"5BZVDASB","created_at":"2026-05-18T12:29:58.707656+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/5BZVDASBJDTY5DILNJSXIV52OE","json":"https://pith.science/pith/5BZVDASBJDTY5DILNJSXIV52OE.json","graph_json":"https://pith.science/api/pith-number/5BZVDASBJDTY5DILNJSXIV52OE/graph.json","events_json":"https://pith.science/api/pith-number/5BZVDASBJDTY5DILNJSXIV52OE/events.json","paper":"https://pith.science/paper/5BZVDASB"},"agent_actions":{"view_html":"https://pith.science/pith/5BZVDASBJDTY5DILNJSXIV52OE","download_json":"https://pith.science/pith/5BZVDASBJDTY5DILNJSXIV52OE.json","view_paper":"https://pith.science/paper/5BZVDASB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1612.00713&json=true","fetch_graph":"https://pith.science/api/pith-number/5BZVDASBJDTY5DILNJSXIV52OE/graph.json","fetch_events":"https://pith.science/api/pith-number/5BZVDASBJDTY5DILNJSXIV52OE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5BZVDASBJDTY5DILNJSXIV52OE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5BZVDASBJDTY5DILNJSXIV52OE/action/storage_attestation","attest_author":"https://pith.science/pith/5BZVDASBJDTY5DILNJSXIV52OE/action/author_attestation","sign_citation":"https://pith.science/pith/5BZVDASBJDTY5DILNJSXIV52OE/action/citation_signature","submit_replication":"https://pith.science/pith/5BZVDASBJDTY5DILNJSXIV52OE/action/replication_record"}},"created_at":"2026-05-18T00:42:30.296503+00:00","updated_at":"2026-05-18T00:42:30.296503+00:00"}