{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:J4GP2XLRTXDZIMSTPVPJJEG7IR","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":"0c8d7b703744d52dea2a8b589d46a7882bc8f957975cf0362204715113f3d469","cross_cats_sorted":["hep-th","math.MP"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math-ph","submitted_at":"2010-05-24T20:56:17Z","title_canon_sha256":"1eed8b0df918efb0f1ffb18597d8fdd99b52003f2ee40c9a386ab84689ac8497"},"schema_version":"1.0","source":{"id":"1005.4429","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.4429","created_at":"2026-05-18T04:38:48Z"},{"alias_kind":"arxiv_version","alias_value":"1005.4429v2","created_at":"2026-05-18T04:38:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.4429","created_at":"2026-05-18T04:38:48Z"},{"alias_kind":"pith_short_12","alias_value":"J4GP2XLRTXDZ","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"J4GP2XLRTXDZIMST","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"J4GP2XLR","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:583a3cbc63f5f4c7e15db184fa0a1372d890b4792e6074739ff53052c990b9e2","target":"graph","created_at":"2026-05-18T04:38:48Z","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":"Some classes of Deformed Special Relativity (DSR) theories are reconsidered within the Hopf algebraic formulation. For this purpose we shall explore a minimal framework of deformed Weyl-Heisenberg algebras provided by a smash product construction of DSR algebra. It is proved that this DSR algebra, which uniquely unifies $\\kappa$-Minkowski spacetime coordinates with Poincar\\'e generators, can be obtained by nonlinear change of generators from undeformed one. Its various realizations in terms of the standard (undeformed) Weyl-Heisenberg algebra opens the way for quantum mechanical interpretation","authors_text":"Andrzej Borowiec, Anna Pacho{\\l}","cross_cats":["hep-th","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math-ph","submitted_at":"2010-05-24T20:56:17Z","title":"$\\kappa$-Minkowski Spacetimes and DSR Algebras: Fresh Look and Old Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.4429","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:f11bac334c231ff683209941c38c10f1650ebb6ae6b8a156581b9303a8ccd09f","target":"record","created_at":"2026-05-18T04:38:48Z","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":"0c8d7b703744d52dea2a8b589d46a7882bc8f957975cf0362204715113f3d469","cross_cats_sorted":["hep-th","math.MP"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math-ph","submitted_at":"2010-05-24T20:56:17Z","title_canon_sha256":"1eed8b0df918efb0f1ffb18597d8fdd99b52003f2ee40c9a386ab84689ac8497"},"schema_version":"1.0","source":{"id":"1005.4429","kind":"arxiv","version":2}},"canonical_sha256":"4f0cfd5d719dc79432537d5e9490df447076e9e329ac97e0c5ae57ba6f850f67","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4f0cfd5d719dc79432537d5e9490df447076e9e329ac97e0c5ae57ba6f850f67","first_computed_at":"2026-05-18T04:38:48.216058Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:48.216058Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kuqrX2POipA8OPARNrT1w6E3IKq53MXQD7oqUrPjQeldiI4Ej2TjvE2NV4JsaecI8UwN2l/yIwIT14N5c3mnDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:48.216475Z","signed_message":"canonical_sha256_bytes"},"source_id":"1005.4429","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f11bac334c231ff683209941c38c10f1650ebb6ae6b8a156581b9303a8ccd09f","sha256:583a3cbc63f5f4c7e15db184fa0a1372d890b4792e6074739ff53052c990b9e2"],"state_sha256":"a02f2063750f726474b97cb02668512874393982cf5b77b0ade88bce541027b4"}