{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1992:OLAOYOHYB42VY4WQ4PVAWO3KXI","short_pith_number":"pith:OLAOYOHY","canonical_record":{"source":{"id":"hep-th/9211032","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1992-11-05T19:47:00Z","cross_cats_sorted":[],"title_canon_sha256":"de17b4149044c67f0d1bb82b4c88d95819cd42f43cbe010b8026a8759e043efa","abstract_canon_sha256":"95df0859d562c93c2932b8c772ed3038689ac2d672cd12418c6f7d2acfef7149"},"schema_version":"1.0"},"canonical_sha256":"72c0ec38f80f355c72d0e3ea0b3b6aba09af05f7238436a3c1e494effba2e94a","source":{"kind":"arxiv","id":"hep-th/9211032","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9211032","created_at":"2026-07-04T15:55:26Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9211032v1","created_at":"2026-07-04T15:55:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9211032","created_at":"2026-07-04T15:55:26Z"},{"alias_kind":"pith_short_12","alias_value":"OLAOYOHYB42V","created_at":"2026-07-04T15:55:26Z"},{"alias_kind":"pith_short_16","alias_value":"OLAOYOHYB42VY4WQ","created_at":"2026-07-04T15:55:26Z"},{"alias_kind":"pith_short_8","alias_value":"OLAOYOHY","created_at":"2026-07-04T15:55:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1992:OLAOYOHYB42VY4WQ4PVAWO3KXI","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9211032","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1992-11-05T19:47:00Z","cross_cats_sorted":[],"title_canon_sha256":"de17b4149044c67f0d1bb82b4c88d95819cd42f43cbe010b8026a8759e043efa","abstract_canon_sha256":"95df0859d562c93c2932b8c772ed3038689ac2d672cd12418c6f7d2acfef7149"},"schema_version":"1.0"},"canonical_sha256":"72c0ec38f80f355c72d0e3ea0b3b6aba09af05f7238436a3c1e494effba2e94a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:55:26.899356Z","signature_b64":"sNG59isn1tzXJaN33cIZBMQvajdf49PftDHW9mKD9kAV+l/GZ9xZ6gmkE0+G0GztKG9/ktmN2BfIHBPb0fYHCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"72c0ec38f80f355c72d0e3ea0b3b6aba09af05f7238436a3c1e494effba2e94a","last_reissued_at":"2026-07-04T15:55:26.898952Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:55:26.898952Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9211032","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":"2026-07-04T15:55:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"06lalVjZJoTunSyxHBrEdg2jAab3vl+p5uKirawQ66vQ8bP3omfDeob0HnOFRfYiPrp7/VXLRrPWvw+5ug20Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T04:39:11.003462Z"},"content_sha256":"41014d708ac87537a8c6dada726a885337067382676a83deeccfbc48af790c9f","schema_version":"1.0","event_id":"sha256:41014d708ac87537a8c6dada726a885337067382676a83deeccfbc48af790c9f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1992:OLAOYOHYB42VY4WQ4PVAWO3KXI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"R matrix and bicovariant calculus for the inhomogeneous quantum groups IGL_q(n)","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Leonardo Castellani","submitted_at":"1992-11-05T19:47:00Z","abstract_excerpt":"We find the R matrix for the inhomogeneous quantum groups whose homogeneous part is $GL_q(n)$, or its restrictions to $SL_q(n)$,$U_q(n)$ and $SU_q(n)$. The quantum Yang-Baxter equation for R holds because of the Hecke relation for the braiding matrix of the homogeneous subgroup. A bicovariant differential calculus on $IGL_q(n)$ is constructed, and its application to the $D=4$ Poincar\\'e group $ISL_q(2,\\Cb)$ is discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9211032","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/hep-th/9211032/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":"2026-07-04T15:55:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VPMHrDs5w3Irof8JNvacW9enLI3i+kEDQrh5WO5f7wAs0w9336ke4dtSC1zB5sD8KLvRWUCzE4aaGjtcMF2kBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T04:39:11.004364Z"},"content_sha256":"bd022b4f2b8dca9b3874ff1264a1455bca260cbd0cff37587f3eff59f40e66e5","schema_version":"1.0","event_id":"sha256:bd022b4f2b8dca9b3874ff1264a1455bca260cbd0cff37587f3eff59f40e66e5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OLAOYOHYB42VY4WQ4PVAWO3KXI/bundle.json","state_url":"https://pith.science/pith/OLAOYOHYB42VY4WQ4PVAWO3KXI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OLAOYOHYB42VY4WQ4PVAWO3KXI/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":"2026-08-11T04:39:11Z","links":{"resolver":"https://pith.science/pith/OLAOYOHYB42VY4WQ4PVAWO3KXI","bundle":"https://pith.science/pith/OLAOYOHYB42VY4WQ4PVAWO3KXI/bundle.json","state":"https://pith.science/pith/OLAOYOHYB42VY4WQ4PVAWO3KXI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OLAOYOHYB42VY4WQ4PVAWO3KXI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1992:OLAOYOHYB42VY4WQ4PVAWO3KXI","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":"95df0859d562c93c2932b8c772ed3038689ac2d672cd12418c6f7d2acfef7149","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1992-11-05T19:47:00Z","title_canon_sha256":"de17b4149044c67f0d1bb82b4c88d95819cd42f43cbe010b8026a8759e043efa"},"schema_version":"1.0","source":{"id":"hep-th/9211032","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9211032","created_at":"2026-07-04T15:55:26Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9211032v1","created_at":"2026-07-04T15:55:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9211032","created_at":"2026-07-04T15:55:26Z"},{"alias_kind":"pith_short_12","alias_value":"OLAOYOHYB42V","created_at":"2026-07-04T15:55:26Z"},{"alias_kind":"pith_short_16","alias_value":"OLAOYOHYB42VY4WQ","created_at":"2026-07-04T15:55:26Z"},{"alias_kind":"pith_short_8","alias_value":"OLAOYOHY","created_at":"2026-07-04T15:55:26Z"}],"graph_snapshots":[{"event_id":"sha256:bd022b4f2b8dca9b3874ff1264a1455bca260cbd0cff37587f3eff59f40e66e5","target":"graph","created_at":"2026-07-04T15:55:26Z","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/hep-th/9211032/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We find the R matrix for the inhomogeneous quantum groups whose homogeneous part is $GL_q(n)$, or its restrictions to $SL_q(n)$,$U_q(n)$ and $SU_q(n)$. The quantum Yang-Baxter equation for R holds because of the Hecke relation for the braiding matrix of the homogeneous subgroup. A bicovariant differential calculus on $IGL_q(n)$ is constructed, and its application to the $D=4$ Poincar\\'e group $ISL_q(2,\\Cb)$ is discussed.","authors_text":"Leonardo Castellani","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1992-11-05T19:47:00Z","title":"R matrix and bicovariant calculus for the inhomogeneous quantum groups IGL_q(n)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9211032","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":"sha256:41014d708ac87537a8c6dada726a885337067382676a83deeccfbc48af790c9f","target":"record","created_at":"2026-07-04T15:55:26Z","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":"95df0859d562c93c2932b8c772ed3038689ac2d672cd12418c6f7d2acfef7149","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1992-11-05T19:47:00Z","title_canon_sha256":"de17b4149044c67f0d1bb82b4c88d95819cd42f43cbe010b8026a8759e043efa"},"schema_version":"1.0","source":{"id":"hep-th/9211032","kind":"arxiv","version":1}},"canonical_sha256":"72c0ec38f80f355c72d0e3ea0b3b6aba09af05f7238436a3c1e494effba2e94a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"72c0ec38f80f355c72d0e3ea0b3b6aba09af05f7238436a3c1e494effba2e94a","first_computed_at":"2026-07-04T15:55:26.898952Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:55:26.898952Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sNG59isn1tzXJaN33cIZBMQvajdf49PftDHW9mKD9kAV+l/GZ9xZ6gmkE0+G0GztKG9/ktmN2BfIHBPb0fYHCw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:55:26.899356Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9211032","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:41014d708ac87537a8c6dada726a885337067382676a83deeccfbc48af790c9f","sha256:bd022b4f2b8dca9b3874ff1264a1455bca260cbd0cff37587f3eff59f40e66e5"],"state_sha256":"f3a2cceaeeba23a48d6256e1c7677c94a30453764e45af6503d80aab9128b4af"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HmZTrVAHOUIyqak3zbiWQKnjRxyrBoSiUJqw5t1b1HPaMw2iSGo9rirX3eyFJ3R6NI5jMSOIjFp9XDP5TMqICg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T04:39:11.014712Z","bundle_sha256":"8ad07d8966d2120d5c91890a27d82aa6ec8aa086599ec0248a8ce2f671773c5c"}}