{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:FDN7ENWUXSF6RY5T2OEB3R4HDV","short_pith_number":"pith:FDN7ENWU","canonical_record":{"source":{"id":"hep-th/0310218","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-10-23T16:02:30Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"7882e9a2eca02d632ad25530c607622b3c5801f5c8ad0be970532485a31e2e07","abstract_canon_sha256":"b347c80a84150126da787cc4fb04e4b9511a7755863f1c7853495bf2af4e7a3c"},"schema_version":"1.0"},"canonical_sha256":"28dbf236d4bc8be8e3b3d3881dc7871d416f356422c56e72e74d98026e1f5ee9","source":{"kind":"arxiv","id":"hep-th/0310218","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0310218","created_at":"2026-07-04T14:32:09Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0310218v2","created_at":"2026-07-04T14:32:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0310218","created_at":"2026-07-04T14:32:09Z"},{"alias_kind":"pith_short_12","alias_value":"FDN7ENWUXSF6","created_at":"2026-07-04T14:32:09Z"},{"alias_kind":"pith_short_16","alias_value":"FDN7ENWUXSF6RY5T","created_at":"2026-07-04T14:32:09Z"},{"alias_kind":"pith_short_8","alias_value":"FDN7ENWU","created_at":"2026-07-04T14:32:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:FDN7ENWUXSF6RY5T2OEB3R4HDV","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0310218","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-10-23T16:02:30Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"7882e9a2eca02d632ad25530c607622b3c5801f5c8ad0be970532485a31e2e07","abstract_canon_sha256":"b347c80a84150126da787cc4fb04e4b9511a7755863f1c7853495bf2af4e7a3c"},"schema_version":"1.0"},"canonical_sha256":"28dbf236d4bc8be8e3b3d3881dc7871d416f356422c56e72e74d98026e1f5ee9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:32:09.273275Z","signature_b64":"BAOF1x05i+lNxBabq0KMIGoHij9duXpXRJ1qzDatHz3MgFZKMiWQe2rfq3IbkUcj6FcZCG1yQrfq9YgdzJ8oDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"28dbf236d4bc8be8e3b3d3881dc7871d416f356422c56e72e74d98026e1f5ee9","last_reissued_at":"2026-07-04T14:32:09.272895Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:32:09.272895Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0310218","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T14:32:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nclyZamru0Fk/whKMtZ4YIH2nvQOI1r22B1dSG3GAwbh+f/hDvoVfwM52I9afEg6Z4gO/T2fk47le0vgYueTCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T02:37:24.546661Z"},"content_sha256":"a7f3af815839f79804c9af0946cb884136b41cb2b70147c4d531993b509fafb9","schema_version":"1.0","event_id":"sha256:a7f3af815839f79804c9af0946cb884136b41cb2b70147c4d531993b509fafb9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:FDN7ENWUXSF6RY5T2OEB3R4HDV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The quantisation of Poisson structures arising in Chern-Simons theory with gauge group $G\\ltimes \\mathfrak{g}^*$","license":"","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"B J Schroers, C Meusburger","submitted_at":"2003-10-23T16:02:30Z","abstract_excerpt":"We quantise a Poisson structure on H^{n+2g}, where H is a semidirect product group of the form $G\\ltimes\\mathfrak{g}^*$. This Poisson structure arises in the combinatorial description of the phase space of Chern-Simons theory with gauge group $G\\ltimes\\mathfrak{g}^*$ on $R \\times S_{g,n}$, where S_{g,n} is a surface of genus g with n punctures. The quantisation of this Poisson structure is a key step in the quantisation of Chern-Simons theory with gauge group $G\\ltimes\\mathfrak{g}^*$. We construct the quantum algebra and its irreducible representations and show that the quantum double D(G) of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0310218","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0310218/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":"2026-07-04T14:32:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2+kPc39Qu5lNoDI2UWRXqKm8tpaJ77cFO4hNtklaRVhRCO4OCL+TQ/uOJX5g39GBVDnUwjD5qWVj+OOY2D32Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T02:37:24.547184Z"},"content_sha256":"3ad5055ec4fc9605034c7b7490b817f88b607e45e6a8301e1ad32c30733b473f","schema_version":"1.0","event_id":"sha256:3ad5055ec4fc9605034c7b7490b817f88b607e45e6a8301e1ad32c30733b473f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FDN7ENWUXSF6RY5T2OEB3R4HDV/bundle.json","state_url":"https://pith.science/pith/FDN7ENWUXSF6RY5T2OEB3R4HDV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FDN7ENWUXSF6RY5T2OEB3R4HDV/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":"2026-08-04T02:37:24Z","links":{"resolver":"https://pith.science/pith/FDN7ENWUXSF6RY5T2OEB3R4HDV","bundle":"https://pith.science/pith/FDN7ENWUXSF6RY5T2OEB3R4HDV/bundle.json","state":"https://pith.science/pith/FDN7ENWUXSF6RY5T2OEB3R4HDV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FDN7ENWUXSF6RY5T2OEB3R4HDV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:FDN7ENWUXSF6RY5T2OEB3R4HDV","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":"b347c80a84150126da787cc4fb04e4b9511a7755863f1c7853495bf2af4e7a3c","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"","primary_cat":"hep-th","submitted_at":"2003-10-23T16:02:30Z","title_canon_sha256":"7882e9a2eca02d632ad25530c607622b3c5801f5c8ad0be970532485a31e2e07"},"schema_version":"1.0","source":{"id":"hep-th/0310218","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0310218","created_at":"2026-07-04T14:32:09Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0310218v2","created_at":"2026-07-04T14:32:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0310218","created_at":"2026-07-04T14:32:09Z"},{"alias_kind":"pith_short_12","alias_value":"FDN7ENWUXSF6","created_at":"2026-07-04T14:32:09Z"},{"alias_kind":"pith_short_16","alias_value":"FDN7ENWUXSF6RY5T","created_at":"2026-07-04T14:32:09Z"},{"alias_kind":"pith_short_8","alias_value":"FDN7ENWU","created_at":"2026-07-04T14:32:09Z"}],"graph_snapshots":[{"event_id":"sha256:3ad5055ec4fc9605034c7b7490b817f88b607e45e6a8301e1ad32c30733b473f","target":"graph","created_at":"2026-07-04T14:32:09Z","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/hep-th/0310218/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We quantise a Poisson structure on H^{n+2g}, where H is a semidirect product group of the form $G\\ltimes\\mathfrak{g}^*$. This Poisson structure arises in the combinatorial description of the phase space of Chern-Simons theory with gauge group $G\\ltimes\\mathfrak{g}^*$ on $R \\times S_{g,n}$, where S_{g,n} is a surface of genus g with n punctures. The quantisation of this Poisson structure is a key step in the quantisation of Chern-Simons theory with gauge group $G\\ltimes\\mathfrak{g}^*$. We construct the quantum algebra and its irreducible representations and show that the quantum double D(G) of ","authors_text":"B J Schroers, C Meusburger","cross_cats":["gr-qc","math-ph","math.MP"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2003-10-23T16:02:30Z","title":"The quantisation of Poisson structures arising in Chern-Simons theory with gauge group $G\\ltimes \\mathfrak{g}^*$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0310218","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:a7f3af815839f79804c9af0946cb884136b41cb2b70147c4d531993b509fafb9","target":"record","created_at":"2026-07-04T14:32:09Z","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":"b347c80a84150126da787cc4fb04e4b9511a7755863f1c7853495bf2af4e7a3c","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"","primary_cat":"hep-th","submitted_at":"2003-10-23T16:02:30Z","title_canon_sha256":"7882e9a2eca02d632ad25530c607622b3c5801f5c8ad0be970532485a31e2e07"},"schema_version":"1.0","source":{"id":"hep-th/0310218","kind":"arxiv","version":2}},"canonical_sha256":"28dbf236d4bc8be8e3b3d3881dc7871d416f356422c56e72e74d98026e1f5ee9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"28dbf236d4bc8be8e3b3d3881dc7871d416f356422c56e72e74d98026e1f5ee9","first_computed_at":"2026-07-04T14:32:09.272895Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:32:09.272895Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BAOF1x05i+lNxBabq0KMIGoHij9duXpXRJ1qzDatHz3MgFZKMiWQe2rfq3IbkUcj6FcZCG1yQrfq9YgdzJ8oDw==","signature_status":"signed_v1","signed_at":"2026-07-04T14:32:09.273275Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0310218","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a7f3af815839f79804c9af0946cb884136b41cb2b70147c4d531993b509fafb9","sha256:3ad5055ec4fc9605034c7b7490b817f88b607e45e6a8301e1ad32c30733b473f"],"state_sha256":"41c683efd8872e7684dc12eb5305d2ed9c868bf1e0256f5ac65c7e2c0061040d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1qM1+WGzE/0SOVQ0Giz7Is/deXzu/bXPmFPyk2jAbX/4/mimyis5d1NyVxt93fbJY9TRKzCBOeyeT0gXtsVfDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T02:37:24.552465Z","bundle_sha256":"8a5748236bb66995f9902dd5fd1d9cacd05490805c84f31663cfbdf17d630a63"}}