{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:ROPQYKSF2C73GNMXYIGBLDQ24T","short_pith_number":"pith:ROPQYKSF","canonical_record":{"source":{"id":"1511.03653","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-11-11T20:56:22Z","cross_cats_sorted":[],"title_canon_sha256":"fbac43d018a9dbd08e211c2408d87a7e5239e7523294934252b5ee2332cc4bd5","abstract_canon_sha256":"66efb4ba563854ca9e1daa52c696d6315d6b5dca5507426159979709280ff771"},"schema_version":"1.0"},"canonical_sha256":"8b9f0c2a45d0bfb33597c20c158e1ae4fc03aa9b62a77a9c5ac04e1eab3a9bc1","source":{"kind":"arxiv","id":"1511.03653","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.03653","created_at":"2026-05-18T01:17:32Z"},{"alias_kind":"arxiv_version","alias_value":"1511.03653v3","created_at":"2026-05-18T01:17:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.03653","created_at":"2026-05-18T01:17:32Z"},{"alias_kind":"pith_short_12","alias_value":"ROPQYKSF2C73","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"ROPQYKSF2C73GNMX","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"ROPQYKSF","created_at":"2026-05-18T12:29:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:ROPQYKSF2C73GNMXYIGBLDQ24T","target":"record","payload":{"canonical_record":{"source":{"id":"1511.03653","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-11-11T20:56:22Z","cross_cats_sorted":[],"title_canon_sha256":"fbac43d018a9dbd08e211c2408d87a7e5239e7523294934252b5ee2332cc4bd5","abstract_canon_sha256":"66efb4ba563854ca9e1daa52c696d6315d6b5dca5507426159979709280ff771"},"schema_version":"1.0"},"canonical_sha256":"8b9f0c2a45d0bfb33597c20c158e1ae4fc03aa9b62a77a9c5ac04e1eab3a9bc1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:32.714614Z","signature_b64":"k2oeU3kFXroxeRhDilOIMOdidfJqfj1TzaGGL9y3QKKWofEbfy7P7MvWmPLWWb11nGNnfIB7f42M+Qnroo97Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8b9f0c2a45d0bfb33597c20c158e1ae4fc03aa9b62a77a9c5ac04e1eab3a9bc1","last_reissued_at":"2026-05-18T01:17:32.713634Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:32.713634Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.03653","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:17:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MzCsYUdLdaXA4QFKtaObeSqnyDtmBq5u+txeHKMdpQSMTl/deowawWDCmo9RJGaxWv9vH6APKcafE0lA4BbfCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T08:43:46.491087Z"},"content_sha256":"0ab641d13de5f180336c78c246234547cee71cb0d9fdc0639944850c9b2e1ee3","schema_version":"1.0","event_id":"sha256:0ab641d13de5f180336c78c246234547cee71cb0d9fdc0639944850c9b2e1ee3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:ROPQYKSF2C73GNMXYIGBLDQ24T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum deformations of D=4 Euclidean, Lorentz, Kleinian and quaternionic o^*(4) symmetries in unified o(4;C) setting","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. Borowiec, J. Lukierski, V.N. Tolstoy","submitted_at":"2015-11-11T20:56:22Z","abstract_excerpt":"We employ new calculational technique and present complete list of classical $r$-matrices for $D=4$ complex homogeneous orthogonal Lie algebra $\\mathfrak{o}(4;\\mathbb{C})$, the rotational symmetry of four-dimensional complex space-time. Further applying reality conditions we obtain the classical $r$-matrices for all possible real forms of $\\mathfrak{o}(4;\\mathbb{C})$: Euclidean $\\mathfrak{o}(4)$, Lorentz $\\mathfrak{o}(3,1)$, Kleinian $\\mathfrak{o}(2,2)$ and quaternionic $\\mathfrak{o}^{\\star}(4)$ Lie algebras. For $\\mathfrak{o}(3,1)$ we get known four classical $D=4$ Lorentz $r$-matrices, but f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.03653","kind":"arxiv","version":3},"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":"2026-05-18T01:17:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C3U1QhDHPjMXrECJwvo4mB3NwkuL3dLxvc/k+zpvjvyB8mOg0r551W/C9uRHKsoG5D9lU6Vq48X+6seNP+WzCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T08:43:46.491838Z"},"content_sha256":"f0d6784b43a7c121b9befb68c847c8ed24ec68325438db9fcc56e0204e448cc2","schema_version":"1.0","event_id":"sha256:f0d6784b43a7c121b9befb68c847c8ed24ec68325438db9fcc56e0204e448cc2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ROPQYKSF2C73GNMXYIGBLDQ24T/bundle.json","state_url":"https://pith.science/pith/ROPQYKSF2C73GNMXYIGBLDQ24T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ROPQYKSF2C73GNMXYIGBLDQ24T/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":"2026-05-31T08:43:46Z","links":{"resolver":"https://pith.science/pith/ROPQYKSF2C73GNMXYIGBLDQ24T","bundle":"https://pith.science/pith/ROPQYKSF2C73GNMXYIGBLDQ24T/bundle.json","state":"https://pith.science/pith/ROPQYKSF2C73GNMXYIGBLDQ24T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ROPQYKSF2C73GNMXYIGBLDQ24T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ROPQYKSF2C73GNMXYIGBLDQ24T","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":"66efb4ba563854ca9e1daa52c696d6315d6b5dca5507426159979709280ff771","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-11-11T20:56:22Z","title_canon_sha256":"fbac43d018a9dbd08e211c2408d87a7e5239e7523294934252b5ee2332cc4bd5"},"schema_version":"1.0","source":{"id":"1511.03653","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.03653","created_at":"2026-05-18T01:17:32Z"},{"alias_kind":"arxiv_version","alias_value":"1511.03653v3","created_at":"2026-05-18T01:17:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.03653","created_at":"2026-05-18T01:17:32Z"},{"alias_kind":"pith_short_12","alias_value":"ROPQYKSF2C73","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"ROPQYKSF2C73GNMX","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"ROPQYKSF","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:f0d6784b43a7c121b9befb68c847c8ed24ec68325438db9fcc56e0204e448cc2","target":"graph","created_at":"2026-05-18T01:17:32Z","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":"We employ new calculational technique and present complete list of classical $r$-matrices for $D=4$ complex homogeneous orthogonal Lie algebra $\\mathfrak{o}(4;\\mathbb{C})$, the rotational symmetry of four-dimensional complex space-time. Further applying reality conditions we obtain the classical $r$-matrices for all possible real forms of $\\mathfrak{o}(4;\\mathbb{C})$: Euclidean $\\mathfrak{o}(4)$, Lorentz $\\mathfrak{o}(3,1)$, Kleinian $\\mathfrak{o}(2,2)$ and quaternionic $\\mathfrak{o}^{\\star}(4)$ Lie algebras. For $\\mathfrak{o}(3,1)$ we get known four classical $D=4$ Lorentz $r$-matrices, but f","authors_text":"A. Borowiec, J. Lukierski, V.N. Tolstoy","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-11-11T20:56:22Z","title":"Quantum deformations of D=4 Euclidean, Lorentz, Kleinian and quaternionic o^*(4) symmetries in unified o(4;C) setting"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.03653","kind":"arxiv","version":3},"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":"sha256:0ab641d13de5f180336c78c246234547cee71cb0d9fdc0639944850c9b2e1ee3","target":"record","created_at":"2026-05-18T01:17:32Z","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":"66efb4ba563854ca9e1daa52c696d6315d6b5dca5507426159979709280ff771","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-11-11T20:56:22Z","title_canon_sha256":"fbac43d018a9dbd08e211c2408d87a7e5239e7523294934252b5ee2332cc4bd5"},"schema_version":"1.0","source":{"id":"1511.03653","kind":"arxiv","version":3}},"canonical_sha256":"8b9f0c2a45d0bfb33597c20c158e1ae4fc03aa9b62a77a9c5ac04e1eab3a9bc1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8b9f0c2a45d0bfb33597c20c158e1ae4fc03aa9b62a77a9c5ac04e1eab3a9bc1","first_computed_at":"2026-05-18T01:17:32.713634Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:32.713634Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k2oeU3kFXroxeRhDilOIMOdidfJqfj1TzaGGL9y3QKKWofEbfy7P7MvWmPLWWb11nGNnfIB7f42M+Qnroo97Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:32.714614Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.03653","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ab641d13de5f180336c78c246234547cee71cb0d9fdc0639944850c9b2e1ee3","sha256:f0d6784b43a7c121b9befb68c847c8ed24ec68325438db9fcc56e0204e448cc2"],"state_sha256":"ae664a65bdc36cce617de4128f3ce1772f6481f4bdf9381c210ce3046a8f8a7c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I1Cepv9pq0I3pE0XKENCOnS3+eiDjk0ra5yofYtXHluzUAQ9soXgLmd7c7TrqGPYx0jbMFkIehdtzd9B4tbWDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T08:43:46.497987Z","bundle_sha256":"7acca8ff682b360710280cb77d5c7659a078ea91c47d09510fc6628aedc45d08"}}