{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:K3U3UDHGZH4LJXQSDVRSZ4W6JY","short_pith_number":"pith:K3U3UDHG","schema_version":"1.0","canonical_sha256":"56e9ba0ce6c9f8b4de121d632cf2de4e19f5d68872bf402ad56e6bb3fd061e0f","source":{"kind":"arxiv","id":"1604.05195","version":2},"attestation_state":"computed","paper":{"title":"Quantum gravity kinematics from extended TQFTs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","gr-qc","math-ph","math.MP","math.QA"],"primary_cat":"hep-th","authors_text":"Bianca Dittrich, Marc Geiller","submitted_at":"2016-04-18T15:07:27Z","abstract_excerpt":"We show how extended topological quantum field theories (TQFTs) can be used to obtain a kinematical setup for quantum gravity, i.e. a kinematical Hilbert space together with a representation of the observable algebra including operators of quantum geometry. In particular, we consider the holonomy-flux algebra of (2+1)-dimensional Euclidean loop quantum gravity, and construct a new representation of this algebra that incorporates a positive cosmological constant. The vacuum state underlying our representation is defined by the Turaev-Viro TQFT. We therefore construct here a generalization, or m"},"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":"1604.05195","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-18T15:07:27Z","cross_cats_sorted":["cond-mat.str-el","gr-qc","math-ph","math.MP","math.QA"],"title_canon_sha256":"f82fe68ea0869b39085050b8e48c40924020686d3f609d90e47aa550ec57ffc4","abstract_canon_sha256":"d3dbda6c799c886f8468925e1bdfbbcb7b7d94b9f5603dc0e875edbae949e31e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:53:15.710657Z","signature_b64":"xLl6RWLnc6nIfWn/xqUPBDF/SIev7xFx77aUYM1lNgR88HX7aFCNipTazGq6YwpzVlspIeXAYiTuDkXbqKBWBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"56e9ba0ce6c9f8b4de121d632cf2de4e19f5d68872bf402ad56e6bb3fd061e0f","last_reissued_at":"2026-05-18T00:53:15.710300Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:53:15.710300Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum gravity kinematics from extended TQFTs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","gr-qc","math-ph","math.MP","math.QA"],"primary_cat":"hep-th","authors_text":"Bianca Dittrich, Marc Geiller","submitted_at":"2016-04-18T15:07:27Z","abstract_excerpt":"We show how extended topological quantum field theories (TQFTs) can be used to obtain a kinematical setup for quantum gravity, i.e. a kinematical Hilbert space together with a representation of the observable algebra including operators of quantum geometry. In particular, we consider the holonomy-flux algebra of (2+1)-dimensional Euclidean loop quantum gravity, and construct a new representation of this algebra that incorporates a positive cosmological constant. The vacuum state underlying our representation is defined by the Turaev-Viro TQFT. We therefore construct here a generalization, or m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.05195","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":"1604.05195","created_at":"2026-05-18T00:53:15.710365+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.05195v2","created_at":"2026-05-18T00:53:15.710365+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.05195","created_at":"2026-05-18T00:53:15.710365+00:00"},{"alias_kind":"pith_short_12","alias_value":"K3U3UDHGZH4L","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_16","alias_value":"K3U3UDHGZH4LJXQS","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_8","alias_value":"K3U3UDHG","created_at":"2026-05-18T12:30:25.849896+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1908.05970","citing_title":"Quantum geometry from higher gauge theory","ref_index":51,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/K3U3UDHGZH4LJXQSDVRSZ4W6JY","json":"https://pith.science/pith/K3U3UDHGZH4LJXQSDVRSZ4W6JY.json","graph_json":"https://pith.science/api/pith-number/K3U3UDHGZH4LJXQSDVRSZ4W6JY/graph.json","events_json":"https://pith.science/api/pith-number/K3U3UDHGZH4LJXQSDVRSZ4W6JY/events.json","paper":"https://pith.science/paper/K3U3UDHG"},"agent_actions":{"view_html":"https://pith.science/pith/K3U3UDHGZH4LJXQSDVRSZ4W6JY","download_json":"https://pith.science/pith/K3U3UDHGZH4LJXQSDVRSZ4W6JY.json","view_paper":"https://pith.science/paper/K3U3UDHG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.05195&json=true","fetch_graph":"https://pith.science/api/pith-number/K3U3UDHGZH4LJXQSDVRSZ4W6JY/graph.json","fetch_events":"https://pith.science/api/pith-number/K3U3UDHGZH4LJXQSDVRSZ4W6JY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/K3U3UDHGZH4LJXQSDVRSZ4W6JY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/K3U3UDHGZH4LJXQSDVRSZ4W6JY/action/storage_attestation","attest_author":"https://pith.science/pith/K3U3UDHGZH4LJXQSDVRSZ4W6JY/action/author_attestation","sign_citation":"https://pith.science/pith/K3U3UDHGZH4LJXQSDVRSZ4W6JY/action/citation_signature","submit_replication":"https://pith.science/pith/K3U3UDHGZH4LJXQSDVRSZ4W6JY/action/replication_record"}},"created_at":"2026-05-18T00:53:15.710365+00:00","updated_at":"2026-05-18T00:53:15.710365+00:00"}