{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:Y6WLMWRZVPNTKF6A2CUJGZRC2J","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":"1933b467c4fe49a353134c87b906b6fd33cc80d0cb72940d3beffc9ad3197515","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-05-14T10:09:29Z","title_canon_sha256":"daeb742997081ef88d06f4b63faa247848339fc5d3a1780495b045c1e5f4010a"},"schema_version":"1.0","source":{"id":"1305.3088","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.3088","created_at":"2026-05-18T02:59:47Z"},{"alias_kind":"arxiv_version","alias_value":"1305.3088v2","created_at":"2026-05-18T02:59:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.3088","created_at":"2026-05-18T02:59:47Z"},{"alias_kind":"pith_short_12","alias_value":"Y6WLMWRZVPNT","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"Y6WLMWRZVPNTKF6A","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"Y6WLMWRZ","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:f9e8ee139ac21ccc7440ddd7942ad79fa97a3a3afe21084368e4708daeece760","target":"graph","created_at":"2026-05-18T02:59:47Z","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":"The quantum phase space described by Heisenberg algebra possesses undeformed Hopf algebroid structure. The $\\kappa$-deformed phase space with noncommutative coordinates is realized in terms of undeformed quantum phase space. There are infinitely many such realizations related by similarity transformations. For a given realization we construct corresponding coproducts of commutative coordinates and momenta (bialgebroid structure). The $\\kappa$-deformed phase space has twisted Hopf algebroid structure. General method for the construction of twist operator (satisfying cocycle and normalization co","authors_text":"Rina Strajn, Stjepan Meljanac, Tajron Juric","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-05-14T10:09:29Z","title":"Twists, realizations and Hopf algebroid structure of kappa-deformed phase space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.3088","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":"sha256:86e3d58a0067fde77652ef0ebed30ef2967f187452c444d36ce43722d208e4e4","target":"record","created_at":"2026-05-18T02:59:47Z","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":"1933b467c4fe49a353134c87b906b6fd33cc80d0cb72940d3beffc9ad3197515","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-05-14T10:09:29Z","title_canon_sha256":"daeb742997081ef88d06f4b63faa247848339fc5d3a1780495b045c1e5f4010a"},"schema_version":"1.0","source":{"id":"1305.3088","kind":"arxiv","version":2}},"canonical_sha256":"c7acb65a39abdb3517c0d0a8936622d24971d92e7cbd3a7bb92e6f053363b02f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c7acb65a39abdb3517c0d0a8936622d24971d92e7cbd3a7bb92e6f053363b02f","first_computed_at":"2026-05-18T02:59:47.980001Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:47.980001Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"97ZazuodrvVN0OffbWVnOufiMfZXIYk6VSJKQLYf/unQmZz5Ay7diHl5Wmdx97j+0qc5dUVJO1iyr3LyRD6ICQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:47.980826Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.3088","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86e3d58a0067fde77652ef0ebed30ef2967f187452c444d36ce43722d208e4e4","sha256:f9e8ee139ac21ccc7440ddd7942ad79fa97a3a3afe21084368e4708daeece760"],"state_sha256":"81a73c9f1de16c0199c391df50733f4be8c32bc36e562b460c3ef0e27450ffe5"}