{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:5ICRFMIFPBHX5PL7RIIV6ZFVEO","short_pith_number":"pith:5ICRFMIF","schema_version":"1.0","canonical_sha256":"ea0512b105784f7ebd7f8a115f64b5239524d4793eec1fd4825925975e9b2f00","source":{"kind":"arxiv","id":"1705.07653","version":1},"attestation_state":"computed","paper":{"title":"Four-dimensional CDT with toroidal topology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-lat"],"primary_cat":"hep-th","authors_text":"Andrzej G\\\"orlich, Jakub Gizbert-Studnicki, Jan Ambj{\\o}rn, Jerzy Jurkiewicz, Kevin Grosvenor","submitted_at":"2017-05-22T10:40:07Z","abstract_excerpt":"3+1 dimensional Causal Dynamical Triangulations (CDT) describe a quantum theory of fluctuating geometries without the introduction of a background geometry. If the topology of space is constrained to be that of a three-dimensional torus we show that the system will fluctuate around a dynamically formed background geometry which can be understood from a simple minisuperspace action which contains both a classical part and a quantum part. We determine this action by integrating out degrees of freedom in the full model, as well as by transfer matrix methods."},"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":"1705.07653","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-05-22T10:40:07Z","cross_cats_sorted":["gr-qc","hep-lat"],"title_canon_sha256":"71104dba482949dd41e74fd85a667de8c2862cf605527fb60d636de868f3e2bf","abstract_canon_sha256":"6987c5e0d1d83333a4d3de5d19ea1d92a3f8c11187e3ad04e8a4bf32e4a81a12"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:31.504810Z","signature_b64":"IHnnhppCucCSdgqlmSFmA8gSvVHZv7q2GFtM475UrwxNG0VEZ3RKnO6ARxMxk1LzQfwRzxJofJd86ZqsU8FJCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ea0512b105784f7ebd7f8a115f64b5239524d4793eec1fd4825925975e9b2f00","last_reissued_at":"2026-05-18T00:35:31.504356Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:31.504356Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Four-dimensional CDT with toroidal topology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-lat"],"primary_cat":"hep-th","authors_text":"Andrzej G\\\"orlich, Jakub Gizbert-Studnicki, Jan Ambj{\\o}rn, Jerzy Jurkiewicz, Kevin Grosvenor","submitted_at":"2017-05-22T10:40:07Z","abstract_excerpt":"3+1 dimensional Causal Dynamical Triangulations (CDT) describe a quantum theory of fluctuating geometries without the introduction of a background geometry. If the topology of space is constrained to be that of a three-dimensional torus we show that the system will fluctuate around a dynamically formed background geometry which can be understood from a simple minisuperspace action which contains both a classical part and a quantum part. We determine this action by integrating out degrees of freedom in the full model, as well as by transfer matrix methods."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.07653","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":""},"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":"1705.07653","created_at":"2026-05-18T00:35:31.504437+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.07653v1","created_at":"2026-05-18T00:35:31.504437+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.07653","created_at":"2026-05-18T00:35:31.504437+00:00"},{"alias_kind":"pith_short_12","alias_value":"5ICRFMIFPBHX","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_16","alias_value":"5ICRFMIFPBHX5PL7","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_8","alias_value":"5ICRFMIF","created_at":"2026-05-18T12:31:00.734936+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/5ICRFMIFPBHX5PL7RIIV6ZFVEO","json":"https://pith.science/pith/5ICRFMIFPBHX5PL7RIIV6ZFVEO.json","graph_json":"https://pith.science/api/pith-number/5ICRFMIFPBHX5PL7RIIV6ZFVEO/graph.json","events_json":"https://pith.science/api/pith-number/5ICRFMIFPBHX5PL7RIIV6ZFVEO/events.json","paper":"https://pith.science/paper/5ICRFMIF"},"agent_actions":{"view_html":"https://pith.science/pith/5ICRFMIFPBHX5PL7RIIV6ZFVEO","download_json":"https://pith.science/pith/5ICRFMIFPBHX5PL7RIIV6ZFVEO.json","view_paper":"https://pith.science/paper/5ICRFMIF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.07653&json=true","fetch_graph":"https://pith.science/api/pith-number/5ICRFMIFPBHX5PL7RIIV6ZFVEO/graph.json","fetch_events":"https://pith.science/api/pith-number/5ICRFMIFPBHX5PL7RIIV6ZFVEO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5ICRFMIFPBHX5PL7RIIV6ZFVEO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5ICRFMIFPBHX5PL7RIIV6ZFVEO/action/storage_attestation","attest_author":"https://pith.science/pith/5ICRFMIFPBHX5PL7RIIV6ZFVEO/action/author_attestation","sign_citation":"https://pith.science/pith/5ICRFMIFPBHX5PL7RIIV6ZFVEO/action/citation_signature","submit_replication":"https://pith.science/pith/5ICRFMIFPBHX5PL7RIIV6ZFVEO/action/replication_record"}},"created_at":"2026-05-18T00:35:31.504437+00:00","updated_at":"2026-05-18T00:35:31.504437+00:00"}