{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:XMGAAI7DG7DXQ4GTLKFCMBE27A","short_pith_number":"pith:XMGAAI7D","canonical_record":{"source":{"id":"hep-th/0205021","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-05-02T13:34:37Z","cross_cats_sorted":["gr-qc","math.QA"],"title_canon_sha256":"862ae68bf0987a095a547514cd00e88a8a9690da3df7ce8a022e57e09fdbf1fe","abstract_canon_sha256":"11680af43822fbcd71d93a6570e7443393ae44dc4da5c641603b91f701f9ee95"},"schema_version":"1.0"},"canonical_sha256":"bb0c0023e337c77870d35a8a26049af83338c1a497d25d743c576b5919594eca","source":{"kind":"arxiv","id":"hep-th/0205021","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0205021","created_at":"2026-05-18T01:38:49Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0205021v1","created_at":"2026-05-18T01:38:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0205021","created_at":"2026-05-18T01:38:49Z"},{"alias_kind":"pith_short_12","alias_value":"XMGAAI7DG7DX","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"XMGAAI7DG7DXQ4GT","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"XMGAAI7D","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:XMGAAI7DG7DXQ4GTLKFCMBE27A","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0205021","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-05-02T13:34:37Z","cross_cats_sorted":["gr-qc","math.QA"],"title_canon_sha256":"862ae68bf0987a095a547514cd00e88a8a9690da3df7ce8a022e57e09fdbf1fe","abstract_canon_sha256":"11680af43822fbcd71d93a6570e7443393ae44dc4da5c641603b91f701f9ee95"},"schema_version":"1.0"},"canonical_sha256":"bb0c0023e337c77870d35a8a26049af83338c1a497d25d743c576b5919594eca","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:49.548513Z","signature_b64":"JQgmfyl8ds9vS47vLV/xV7JHBVXdEfOZVq4xN9gVY3OeGry2TFdMBReN+ONJ4b906KffwcrzZ6QkiC7SjvUCCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bb0c0023e337c77870d35a8a26049af83338c1a497d25d743c576b5919594eca","last_reissued_at":"2026-05-18T01:38:49.547845Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:49.547845Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0205021","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":"2026-05-18T01:38:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PMmfz1IaO/J77kOZoBbC5y+89OhbLscyAAf/+Htm38nFV13KZbU2pHFUB43Kc+LY9wpe/uNjjq77UPtMWPmnAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T10:22:05.358529Z"},"content_sha256":"2bf2d061adbb938ceb69115b1a874241f69018da181eb4aef942f8b7d573bf44","schema_version":"1.0","event_id":"sha256:2bf2d061adbb938ceb69115b1a874241f69018da181eb4aef942f8b7d573bf44"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:XMGAAI7DG7DXQ4GTLKFCMBE27A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum group symmetry and particle scattering in (2+1)-dimensional quantum gravity","license":"","headline":"","cross_cats":["gr-qc","math.QA"],"primary_cat":"hep-th","authors_text":"B. J. Schroers, F. A. Bais, N. M. Muller","submitted_at":"2002-05-02T13:34:37Z","abstract_excerpt":"Starting with the Chern-Simons formulation of (2+1)-dimensional gravity we show that the gravitational interactions deform the Poincare symmetry of flat space-time to a quantum group symmetry. The relevant quantum group is the quantum double of the universal cover of the (2+1)-dimensional Lorentz group, or Lorentz double for short. We construct the Hilbert space of two gravitating particles and use the universal R-matrix of the Lorentz double to derive a general expression for the scattering cross section of gravitating particles with spin. In appropriate limits our formula reproduces the semi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0205021","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:38:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yNF8d9v1/+OW+wXXLf/KQsMxJPPHIG1nuXIBYBsKQJXnGCQsC09BtK2HIKCzfcbRceEIDyuQWHzbrYRq92O8Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T10:22:05.359174Z"},"content_sha256":"a2c13960fd0017d72cdaaad20bba0006c7f8f90c85cb1d1b8fa31d9a787af210","schema_version":"1.0","event_id":"sha256:a2c13960fd0017d72cdaaad20bba0006c7f8f90c85cb1d1b8fa31d9a787af210"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XMGAAI7DG7DXQ4GTLKFCMBE27A/bundle.json","state_url":"https://pith.science/pith/XMGAAI7DG7DXQ4GTLKFCMBE27A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XMGAAI7DG7DXQ4GTLKFCMBE27A/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":"2026-05-24T10:22:05Z","links":{"resolver":"https://pith.science/pith/XMGAAI7DG7DXQ4GTLKFCMBE27A","bundle":"https://pith.science/pith/XMGAAI7DG7DXQ4GTLKFCMBE27A/bundle.json","state":"https://pith.science/pith/XMGAAI7DG7DXQ4GTLKFCMBE27A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XMGAAI7DG7DXQ4GTLKFCMBE27A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:XMGAAI7DG7DXQ4GTLKFCMBE27A","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":"11680af43822fbcd71d93a6570e7443393ae44dc4da5c641603b91f701f9ee95","cross_cats_sorted":["gr-qc","math.QA"],"license":"","primary_cat":"hep-th","submitted_at":"2002-05-02T13:34:37Z","title_canon_sha256":"862ae68bf0987a095a547514cd00e88a8a9690da3df7ce8a022e57e09fdbf1fe"},"schema_version":"1.0","source":{"id":"hep-th/0205021","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0205021","created_at":"2026-05-18T01:38:49Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0205021v1","created_at":"2026-05-18T01:38:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0205021","created_at":"2026-05-18T01:38:49Z"},{"alias_kind":"pith_short_12","alias_value":"XMGAAI7DG7DX","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"XMGAAI7DG7DXQ4GT","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"XMGAAI7D","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:a2c13960fd0017d72cdaaad20bba0006c7f8f90c85cb1d1b8fa31d9a787af210","target":"graph","created_at":"2026-05-18T01:38:49Z","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"},"paper":{"abstract_excerpt":"Starting with the Chern-Simons formulation of (2+1)-dimensional gravity we show that the gravitational interactions deform the Poincare symmetry of flat space-time to a quantum group symmetry. The relevant quantum group is the quantum double of the universal cover of the (2+1)-dimensional Lorentz group, or Lorentz double for short. We construct the Hilbert space of two gravitating particles and use the universal R-matrix of the Lorentz double to derive a general expression for the scattering cross section of gravitating particles with spin. In appropriate limits our formula reproduces the semi","authors_text":"B. J. Schroers, F. A. Bais, N. M. Muller","cross_cats":["gr-qc","math.QA"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2002-05-02T13:34:37Z","title":"Quantum group symmetry and particle scattering in (2+1)-dimensional quantum gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0205021","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":"sha256:2bf2d061adbb938ceb69115b1a874241f69018da181eb4aef942f8b7d573bf44","target":"record","created_at":"2026-05-18T01:38:49Z","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":"11680af43822fbcd71d93a6570e7443393ae44dc4da5c641603b91f701f9ee95","cross_cats_sorted":["gr-qc","math.QA"],"license":"","primary_cat":"hep-th","submitted_at":"2002-05-02T13:34:37Z","title_canon_sha256":"862ae68bf0987a095a547514cd00e88a8a9690da3df7ce8a022e57e09fdbf1fe"},"schema_version":"1.0","source":{"id":"hep-th/0205021","kind":"arxiv","version":1}},"canonical_sha256":"bb0c0023e337c77870d35a8a26049af83338c1a497d25d743c576b5919594eca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bb0c0023e337c77870d35a8a26049af83338c1a497d25d743c576b5919594eca","first_computed_at":"2026-05-18T01:38:49.547845Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:49.547845Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JQgmfyl8ds9vS47vLV/xV7JHBVXdEfOZVq4xN9gVY3OeGry2TFdMBReN+ONJ4b906KffwcrzZ6QkiC7SjvUCCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:49.548513Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0205021","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2bf2d061adbb938ceb69115b1a874241f69018da181eb4aef942f8b7d573bf44","sha256:a2c13960fd0017d72cdaaad20bba0006c7f8f90c85cb1d1b8fa31d9a787af210"],"state_sha256":"898f2f66bf05244547e7a28ad605a28fa0a9affe16a160e8c6b866b09a9396fa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m45NkbijcZBzITcq5dzYkP4RuXzpsTr7qN/Rg6zH4sOT80qmDwBmceoE91T3p/lL3n7oabf2m7ytB1NnMzi0Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T10:22:05.362479Z","bundle_sha256":"f4d0e558c89780a6eea9cfe79a989fecfc2014fb23aca9d63f0c4a8dc47f6457"}}