{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:Q4XFIPYGJMAY6CC2P3PHRQXBT2","short_pith_number":"pith:Q4XFIPYG","canonical_record":{"source":{"id":"2311.08587","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-11-14T23:17:26Z","cross_cats_sorted":["hep-th","math-ph","math.GT","math.MP"],"title_canon_sha256":"fae5400be4bdea9493eae382525dc0c01962c2017d31fe02e3961f8d61775577","abstract_canon_sha256":"497b26c71efdbff912277d3eb4283dd1e0f06ca1eb2e94bdbd42851f670826a0"},"schema_version":"1.0"},"canonical_sha256":"872e543f064b018f085a7ede78c2e19eaf80e4f8a1be6c0db0dc312331b78317","source":{"kind":"arxiv","id":"2311.08587","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.08587","created_at":"2026-07-05T07:13:26Z"},{"alias_kind":"arxiv_version","alias_value":"2311.08587v1","created_at":"2026-07-05T07:13:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.08587","created_at":"2026-07-05T07:13:26Z"},{"alias_kind":"pith_short_12","alias_value":"Q4XFIPYGJMAY","created_at":"2026-07-05T07:13:26Z"},{"alias_kind":"pith_short_16","alias_value":"Q4XFIPYGJMAY6CC2","created_at":"2026-07-05T07:13:26Z"},{"alias_kind":"pith_short_8","alias_value":"Q4XFIPYG","created_at":"2026-07-05T07:13:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:Q4XFIPYGJMAY6CC2P3PHRQXBT2","target":"record","payload":{"canonical_record":{"source":{"id":"2311.08587","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-11-14T23:17:26Z","cross_cats_sorted":["hep-th","math-ph","math.GT","math.MP"],"title_canon_sha256":"fae5400be4bdea9493eae382525dc0c01962c2017d31fe02e3961f8d61775577","abstract_canon_sha256":"497b26c71efdbff912277d3eb4283dd1e0f06ca1eb2e94bdbd42851f670826a0"},"schema_version":"1.0"},"canonical_sha256":"872e543f064b018f085a7ede78c2e19eaf80e4f8a1be6c0db0dc312331b78317","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:13:26.617766Z","signature_b64":"EzE5pnlrGRaP2K8Y3YV+SKo3WffSl6dOWjJssxb6R3uXPg1BxTBqkoSiUcEZNt0FqGP01GaLEIzHa1GH+iBZAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"872e543f064b018f085a7ede78c2e19eaf80e4f8a1be6c0db0dc312331b78317","last_reissued_at":"2026-07-05T07:13:26.617197Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:13:26.617197Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2311.08587","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:13:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zROgcEZwJd65zxtiEVgx1bSb+HnCvDM4ZGq+51geJKBpIGlIlmi7Od5bG460wAKg+xjp1t1zO7q6aF8F99xvCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T07:50:56.671196Z"},"content_sha256":"32f6b8aec8d3caff1eaa6a4c1b064932b7f0b7a90e3b706ade9883fff7b5a343","schema_version":"1.0","event_id":"sha256:32f6b8aec8d3caff1eaa6a4c1b064932b7f0b7a90e3b706ade9883fff7b5a343"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:Q4XFIPYGJMAY6CC2P3PHRQXBT2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Group Intertwiner Space From Quantum Curved Tetrahedron","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.GT","math.MP"],"primary_cat":"gr-qc","authors_text":"Chen-Hung Hsiao, Muxin Han, Qiaoyin Pan","submitted_at":"2023-11-14T23:17:26Z","abstract_excerpt":"In this paper, we develop a quantum theory of homogeneously curved tetrahedron geometry, by applying the combinatorial quantization to the phase space of tetrahedron shapes defined in arXiv:1506.03053. Our method is based on the relation between this phase space and the moduli space of SU(2) flat connections on a 4-punctured sphere. The quantization results in the physical Hilbert space as the solution of the quantum closure constraint, which quantizes the classical closure condition $M_4M_3M_2M_1=1$, $M_\\nu\\in$ SU(2), for the homogeneously curved tetrahedron. The quantum group Uq(su(2)) emerg"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.08587","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/2311.08587/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:13:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Slxk4bZ/QgE5L4fz0ulGMi1mi64d79oQFV/a0Mh9J4iHH4kP9XY/pA/p1HB9rN3lDT0e+RxsNnAH0WeHDO56Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T07:50:56.671584Z"},"content_sha256":"27ad505f378db34aa239a2ce6e10825ae553205d4e595b565f4820f7648eb6b8","schema_version":"1.0","event_id":"sha256:27ad505f378db34aa239a2ce6e10825ae553205d4e595b565f4820f7648eb6b8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q4XFIPYGJMAY6CC2P3PHRQXBT2/bundle.json","state_url":"https://pith.science/pith/Q4XFIPYGJMAY6CC2P3PHRQXBT2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q4XFIPYGJMAY6CC2P3PHRQXBT2/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-06T07:50:56Z","links":{"resolver":"https://pith.science/pith/Q4XFIPYGJMAY6CC2P3PHRQXBT2","bundle":"https://pith.science/pith/Q4XFIPYGJMAY6CC2P3PHRQXBT2/bundle.json","state":"https://pith.science/pith/Q4XFIPYGJMAY6CC2P3PHRQXBT2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q4XFIPYGJMAY6CC2P3PHRQXBT2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:Q4XFIPYGJMAY6CC2P3PHRQXBT2","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":"497b26c71efdbff912277d3eb4283dd1e0f06ca1eb2e94bdbd42851f670826a0","cross_cats_sorted":["hep-th","math-ph","math.GT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-11-14T23:17:26Z","title_canon_sha256":"fae5400be4bdea9493eae382525dc0c01962c2017d31fe02e3961f8d61775577"},"schema_version":"1.0","source":{"id":"2311.08587","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.08587","created_at":"2026-07-05T07:13:26Z"},{"alias_kind":"arxiv_version","alias_value":"2311.08587v1","created_at":"2026-07-05T07:13:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.08587","created_at":"2026-07-05T07:13:26Z"},{"alias_kind":"pith_short_12","alias_value":"Q4XFIPYGJMAY","created_at":"2026-07-05T07:13:26Z"},{"alias_kind":"pith_short_16","alias_value":"Q4XFIPYGJMAY6CC2","created_at":"2026-07-05T07:13:26Z"},{"alias_kind":"pith_short_8","alias_value":"Q4XFIPYG","created_at":"2026-07-05T07:13:26Z"}],"graph_snapshots":[{"event_id":"sha256:27ad505f378db34aa239a2ce6e10825ae553205d4e595b565f4820f7648eb6b8","target":"graph","created_at":"2026-07-05T07:13:26Z","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/2311.08587/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we develop a quantum theory of homogeneously curved tetrahedron geometry, by applying the combinatorial quantization to the phase space of tetrahedron shapes defined in arXiv:1506.03053. Our method is based on the relation between this phase space and the moduli space of SU(2) flat connections on a 4-punctured sphere. The quantization results in the physical Hilbert space as the solution of the quantum closure constraint, which quantizes the classical closure condition $M_4M_3M_2M_1=1$, $M_\\nu\\in$ SU(2), for the homogeneously curved tetrahedron. The quantum group Uq(su(2)) emerg","authors_text":"Chen-Hung Hsiao, Muxin Han, Qiaoyin Pan","cross_cats":["hep-th","math-ph","math.GT","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-11-14T23:17:26Z","title":"Quantum Group Intertwiner Space From Quantum Curved Tetrahedron"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.08587","kind":"arxiv","version":1},"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":"sha256:32f6b8aec8d3caff1eaa6a4c1b064932b7f0b7a90e3b706ade9883fff7b5a343","target":"record","created_at":"2026-07-05T07:13:26Z","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":"497b26c71efdbff912277d3eb4283dd1e0f06ca1eb2e94bdbd42851f670826a0","cross_cats_sorted":["hep-th","math-ph","math.GT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-11-14T23:17:26Z","title_canon_sha256":"fae5400be4bdea9493eae382525dc0c01962c2017d31fe02e3961f8d61775577"},"schema_version":"1.0","source":{"id":"2311.08587","kind":"arxiv","version":1}},"canonical_sha256":"872e543f064b018f085a7ede78c2e19eaf80e4f8a1be6c0db0dc312331b78317","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"872e543f064b018f085a7ede78c2e19eaf80e4f8a1be6c0db0dc312331b78317","first_computed_at":"2026-07-05T07:13:26.617197Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:13:26.617197Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EzE5pnlrGRaP2K8Y3YV+SKo3WffSl6dOWjJssxb6R3uXPg1BxTBqkoSiUcEZNt0FqGP01GaLEIzHa1GH+iBZAA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:13:26.617766Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.08587","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:32f6b8aec8d3caff1eaa6a4c1b064932b7f0b7a90e3b706ade9883fff7b5a343","sha256:27ad505f378db34aa239a2ce6e10825ae553205d4e595b565f4820f7648eb6b8"],"state_sha256":"1b0b7da7521adc65770a1a14cfbe0fd0993e8b4cc8aa2b976dac2f7b9217738f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XgYzFpvC7EGH/+pIuvOZ5MyYU/ihYtdWfD9xFwdV0yVEKkU4/pFzWcbG1k8C0gZxkrg5aL3WXZohgyc+k/GIBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T07:50:56.673551Z","bundle_sha256":"97d200fd7394687c9a3f8ac6bf7e58761565c7550ff035a3756960663a97ac26"}}