{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:CCNHPF5ZPDGAIEKX7ATCXMC7L2","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":"910507cff6a131b446b48b1a3f04b1391f7668f42e95bcb9579824922df98496","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-08-16T01:10:04Z","title_canon_sha256":"e4cd530d21901495a4d33606ff1e4016baf1be01dd51652cb08756e9606d7450"},"schema_version":"1.0","source":{"id":"1408.3689","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.3689","created_at":"2026-05-18T02:32:38Z"},{"alias_kind":"arxiv_version","alias_value":"1408.3689v2","created_at":"2026-05-18T02:32:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.3689","created_at":"2026-05-18T02:32:38Z"},{"alias_kind":"pith_short_12","alias_value":"CCNHPF5ZPDGA","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"CCNHPF5ZPDGAIEKX","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"CCNHPF5Z","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:5d7ef65aad0c3b589504024bb488ac373487fcef7e45766490de0b7a44c6a2a8","target":"graph","created_at":"2026-05-18T02:32:38Z","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":"It is shown that the canonical classical $r$-matrix arising from the Drinfel'd double structure underlying the two-fold centrally extended (2+1) Galilean and Newton-Hooke Lie algebras (with either zero or non-zero cosmological constant $\\Lambda$, respectively) originates as a well-defined non-relativistic contraction of a specific class of canonical $r$-matrices associated with the Drinfel'd double structure of the (2+1) (anti)-de Sitter Lie algebra. The full quantum group structure associated with such (2+1) Galilean and Newton-Hooke Drinfel'd doubles is presented, and the corresponding nonco","authors_text":"Angel Ballesteros, Francisco J. Herranz, Pedro Naranjo","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-08-16T01:10:04Z","title":"From Lorentzian to Galilean (2+1) gravity: Drinfel'd doubles, quantisation and noncommutative spacetimes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.3689","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":"sha256:9ae7be86a8f6febef0e709492414378219d9a5aa25c95b6455b69bed19fc7415","target":"record","created_at":"2026-05-18T02:32:38Z","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":"910507cff6a131b446b48b1a3f04b1391f7668f42e95bcb9579824922df98496","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-08-16T01:10:04Z","title_canon_sha256":"e4cd530d21901495a4d33606ff1e4016baf1be01dd51652cb08756e9606d7450"},"schema_version":"1.0","source":{"id":"1408.3689","kind":"arxiv","version":2}},"canonical_sha256":"109a7797b978cc041157f8262bb05f5e90cd2654e928e18b6e853686ccc21fef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"109a7797b978cc041157f8262bb05f5e90cd2654e928e18b6e853686ccc21fef","first_computed_at":"2026-05-18T02:32:38.515978Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:38.515978Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K+rSFfBrz1CkG0Pn3PYYVNDT6LVJTIqMDnULHp65LbSbihmO02abnECtY232BtIglByXfPO6Lsx/d+pfjZFUBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:38.516449Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.3689","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9ae7be86a8f6febef0e709492414378219d9a5aa25c95b6455b69bed19fc7415","sha256:5d7ef65aad0c3b589504024bb488ac373487fcef7e45766490de0b7a44c6a2a8"],"state_sha256":"cb7d895766f8262375ff2df9d1c17029e80d1127bbc85caad3cafdcf6ff72176"}