{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:RT4NB5PTPQTNT5YZJWOLIVER7H","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"484e516f1d743023f9b0e1e8166ffed3c2b60fc6071c1137c680846f960c559a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-11-29T11:37:43Z","title_canon_sha256":"9914a9744110097fbc40025e99d14bfcd4d79e7716940e70f410e77fe1fbd45f"},"schema_version":"1.0","source":{"id":"2111.14471","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.14471","created_at":"2026-07-05T05:02:56Z"},{"alias_kind":"arxiv_version","alias_value":"2111.14471v2","created_at":"2026-07-05T05:02:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.14471","created_at":"2026-07-05T05:02:56Z"},{"alias_kind":"pith_short_12","alias_value":"RT4NB5PTPQTN","created_at":"2026-07-05T05:02:56Z"},{"alias_kind":"pith_short_16","alias_value":"RT4NB5PTPQTNT5YZ","created_at":"2026-07-05T05:02:56Z"},{"alias_kind":"pith_short_8","alias_value":"RT4NB5PT","created_at":"2026-07-05T05:02:56Z"}],"graph_snapshots":[{"event_id":"sha256:6797b4680bd573955a664ffe7da3c5bb9c3c6dbb20a2fbc383217d12248da73b","target":"graph","created_at":"2026-07-05T05:02:56Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2111.14471/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop in a companion article the kinematics of three-dimensional loop quantum gravity in Euclidean signature and with a negative cosmological constant, focusing in particular on the spinorial representation which is well-known at zero cosmological constant. In this article, we put this formalism to the test by quantizing the Hamiltonian constraint on the dual of a triangulation. The Hamiltonian constraints are obtained by projecting the flatness constraints onto spinors, as done in the flat case by the first author and Livine. Quantization then relies on $q$-deformed spinors. The quantum ","authors_text":"Ma\\\"it\\'e Dupuis, Qiaoyin Pan, Valentin Bonzom","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-11-29T11:37:43Z","title":"Spinor Representation of the Hamiltonian Constraint in 3D LQG with a Non-zero Cosmological Constant"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.14471","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:08f2e91dcd4cad28b5846c4710f5ae5361bbca9ce6b888bb0b04ff28d51ec740","target":"record","created_at":"2026-07-05T05:02:56Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"484e516f1d743023f9b0e1e8166ffed3c2b60fc6071c1137c680846f960c559a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-11-29T11:37:43Z","title_canon_sha256":"9914a9744110097fbc40025e99d14bfcd4d79e7716940e70f410e77fe1fbd45f"},"schema_version":"1.0","source":{"id":"2111.14471","kind":"arxiv","version":2}},"canonical_sha256":"8cf8d0f5f37c26d9f7194d9cb45491f9cfde355a59f58d6c33634d2113fe45fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8cf8d0f5f37c26d9f7194d9cb45491f9cfde355a59f58d6c33634d2113fe45fa","first_computed_at":"2026-07-05T05:02:56.193130Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:02:56.193130Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FKYaRBueYveqwMO5UF9NepO73iRfQArcwjvBfHCMiafQcmc8sN4Zgn7hJJLbFfXV91HGTv0RqsMipx/Vs4DkAg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:02:56.193565Z","signed_message":"canonical_sha256_bytes"},"source_id":"2111.14471","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:08f2e91dcd4cad28b5846c4710f5ae5361bbca9ce6b888bb0b04ff28d51ec740","sha256:6797b4680bd573955a664ffe7da3c5bb9c3c6dbb20a2fbc383217d12248da73b"],"state_sha256":"2f54923172c7d2ebc19075c1b0a4993956dad02eaf495aadd14211bca70bda58"}