{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:H6ZR4ISRZ5IRWWK3QHAMWBITUQ","short_pith_number":"pith:H6ZR4ISR","schema_version":"1.0","canonical_sha256":"3fb31e2251cf511b595b81c0cb0513a42d35c58ed22a7ac899e46252eeb582e6","source":{"kind":"arxiv","id":"2103.15610","version":1},"attestation_state":"computed","paper":{"title":"CDT Quantum Toroidal Spacetimes: An Overview","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["hep-lat","hep-th"],"primary_cat":"gr-qc","authors_text":"A. G\\\"orlich, D. N\\`emeth, J. Ambjorn, J. Gizbert-Studnicki, J. Jurkiewicz, Z. Drogosz","submitted_at":"2021-03-29T13:39:40Z","abstract_excerpt":"Lattice formulations of gravity can be used to study non-perturbative aspects of quantum gravity. Causal Dynamical Triangulations (CDT) is a lattice model of gravity that has been used in this way. It has a built-in time foliation but is coordinate-independent in the spatial directions. The higher-order phase transitions observed in the model may be used to define a continuum limit of the lattice theory. Some aspects of the transitions are better studied when the topology of space is toroidal rather than spherical. In addition, a toroidal spatial topology allows us to understand more easily th"},"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":"2103.15610","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"gr-qc","submitted_at":"2021-03-29T13:39:40Z","cross_cats_sorted":["hep-lat","hep-th"],"title_canon_sha256":"2f124ecf17a322a4e18432b0843408519d4dca5ad19adc5bffeaf65ff625f692","abstract_canon_sha256":"b305c5ed5d6b2b1a081617fb50a0fa61e4d65e1ceeb430f204fa4ef7f69a0949"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:27:07.949925Z","signature_b64":"B0lAM+EFt3K9tJA4rvsYiR0l5Zs8LqPTjERKzXIpkPdRz79uNGKIlTF8e5v6SrN+jctUqK0AarLDOIchcgHoBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3fb31e2251cf511b595b81c0cb0513a42d35c58ed22a7ac899e46252eeb582e6","last_reissued_at":"2026-07-05T02:27:07.949451Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:27:07.949451Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"CDT Quantum Toroidal Spacetimes: An Overview","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["hep-lat","hep-th"],"primary_cat":"gr-qc","authors_text":"A. G\\\"orlich, D. N\\`emeth, J. Ambjorn, J. Gizbert-Studnicki, J. Jurkiewicz, Z. Drogosz","submitted_at":"2021-03-29T13:39:40Z","abstract_excerpt":"Lattice formulations of gravity can be used to study non-perturbative aspects of quantum gravity. Causal Dynamical Triangulations (CDT) is a lattice model of gravity that has been used in this way. It has a built-in time foliation but is coordinate-independent in the spatial directions. The higher-order phase transitions observed in the model may be used to define a continuum limit of the lattice theory. Some aspects of the transitions are better studied when the topology of space is toroidal rather than spherical. In addition, a toroidal spatial topology allows us to understand more easily th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.15610","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/2103.15610/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":"2103.15610","created_at":"2026-07-05T02:27:07.949509+00:00"},{"alias_kind":"arxiv_version","alias_value":"2103.15610v1","created_at":"2026-07-05T02:27:07.949509+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.15610","created_at":"2026-07-05T02:27:07.949509+00:00"},{"alias_kind":"pith_short_12","alias_value":"H6ZR4ISRZ5IR","created_at":"2026-07-05T02:27:07.949509+00:00"},{"alias_kind":"pith_short_16","alias_value":"H6ZR4ISRZ5IRWWK3","created_at":"2026-07-05T02:27:07.949509+00:00"},{"alias_kind":"pith_short_8","alias_value":"H6ZR4ISR","created_at":"2026-07-05T02:27:07.949509+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.29159","citing_title":"Asymptotically Safe Gravitational Form Factors from the Proper-Time Flow Equation","ref_index":42,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/H6ZR4ISRZ5IRWWK3QHAMWBITUQ","json":"https://pith.science/pith/H6ZR4ISRZ5IRWWK3QHAMWBITUQ.json","graph_json":"https://pith.science/api/pith-number/H6ZR4ISRZ5IRWWK3QHAMWBITUQ/graph.json","events_json":"https://pith.science/api/pith-number/H6ZR4ISRZ5IRWWK3QHAMWBITUQ/events.json","paper":"https://pith.science/paper/H6ZR4ISR"},"agent_actions":{"view_html":"https://pith.science/pith/H6ZR4ISRZ5IRWWK3QHAMWBITUQ","download_json":"https://pith.science/pith/H6ZR4ISRZ5IRWWK3QHAMWBITUQ.json","view_paper":"https://pith.science/paper/H6ZR4ISR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2103.15610&json=true","fetch_graph":"https://pith.science/api/pith-number/H6ZR4ISRZ5IRWWK3QHAMWBITUQ/graph.json","fetch_events":"https://pith.science/api/pith-number/H6ZR4ISRZ5IRWWK3QHAMWBITUQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/H6ZR4ISRZ5IRWWK3QHAMWBITUQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/H6ZR4ISRZ5IRWWK3QHAMWBITUQ/action/storage_attestation","attest_author":"https://pith.science/pith/H6ZR4ISRZ5IRWWK3QHAMWBITUQ/action/author_attestation","sign_citation":"https://pith.science/pith/H6ZR4ISRZ5IRWWK3QHAMWBITUQ/action/citation_signature","submit_replication":"https://pith.science/pith/H6ZR4ISRZ5IRWWK3QHAMWBITUQ/action/replication_record"}},"created_at":"2026-07-05T02:27:07.949509+00:00","updated_at":"2026-07-05T02:27:07.949509+00:00"}