{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:36FG3I7JXC6TK5MYFAHSYERCHF","short_pith_number":"pith:36FG3I7J","canonical_record":{"source":{"id":"1403.4773","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math-ph","submitted_at":"2014-03-19T11:53:33Z","cross_cats_sorted":["gr-qc","hep-th","math.MP"],"title_canon_sha256":"4239eb018239cfd02aadecae1f92dd148c047967622428bf088e31fcb3926622","abstract_canon_sha256":"ce41efa484e1bf054460b3655cccf0a2d9c0310293d5969309ac3923100b74b6"},"schema_version":"1.0"},"canonical_sha256":"df8a6da3e9b8bd357598280f2c1222394a0905ff18463bcbd7682fa4c9b51a82","source":{"kind":"arxiv","id":"1403.4773","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.4773","created_at":"2026-05-18T02:45:04Z"},{"alias_kind":"arxiv_version","alias_value":"1403.4773v2","created_at":"2026-05-18T02:45:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.4773","created_at":"2026-05-18T02:45:04Z"},{"alias_kind":"pith_short_12","alias_value":"36FG3I7JXC6T","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"36FG3I7JXC6TK5MY","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"36FG3I7J","created_at":"2026-05-18T12:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:36FG3I7JXC6TK5MYFAHSYERCHF","target":"record","payload":{"canonical_record":{"source":{"id":"1403.4773","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math-ph","submitted_at":"2014-03-19T11:53:33Z","cross_cats_sorted":["gr-qc","hep-th","math.MP"],"title_canon_sha256":"4239eb018239cfd02aadecae1f92dd148c047967622428bf088e31fcb3926622","abstract_canon_sha256":"ce41efa484e1bf054460b3655cccf0a2d9c0310293d5969309ac3923100b74b6"},"schema_version":"1.0"},"canonical_sha256":"df8a6da3e9b8bd357598280f2c1222394a0905ff18463bcbd7682fa4c9b51a82","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:45:04.282812Z","signature_b64":"COwVwRvk5bEt87I17cd33Fv4psEmP7GyUx7/1syRTUlQMFLRDUtwk2WKSBaWykqs+nPOS5nZZImunEbrlgNwCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"df8a6da3e9b8bd357598280f2c1222394a0905ff18463bcbd7682fa4c9b51a82","last_reissued_at":"2026-05-18T02:45:04.282291Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:45:04.282291Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.4773","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:45:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JQQAsL+SkSQk79zkAGKBMuli3zO4i2TK24WYwwtYRiXj9InPonBjWEKuy/IhzV/o1g9vJSxrSkVbBE7AhGVbAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T17:59:47.318761Z"},"content_sha256":"da82bb419d9d255327e6191a2884c06a2c2d4ef2f648b5a31832484320773944","schema_version":"1.0","event_id":"sha256:da82bb419d9d255327e6191a2884c06a2c2d4ef2f648b5a31832484320773944"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:36FG3I7JXC6TK5MYFAHSYERCHF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Twisted (2+1) $\\kappa$-AdS Algebra, Drinfel'd Doubles and Non-Commutative Spacetimes","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["gr-qc","hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"\\'Angel Ballesteros, Catherine Meusburger, Francisco J. Herranz, Pedro Naranjo","submitted_at":"2014-03-19T11:53:33Z","abstract_excerpt":"We construct the full quantum algebra, the corresponding Poisson-Lie structure and the associated quantum spacetime for a family of quantum deformations of the isometry algebras of the (2+1)-dimensional anti-de Sitter (AdS), de Sitter (dS) and Minkowski spaces. These deformations correspond to a Drinfel'd double structure on the isometry algebras that are motivated by their role in (2+1)-gravity. The construction includes the cosmological constant $\\Lambda$ as a deformation parameter, which allows one to treat these cases in a common framework and to obtain a twisted version of both space- and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.4773","kind":"arxiv","version":2},"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":"2026-05-18T02:45:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k+MzurH77jOMDtkxS0SqmNy4DycyHqkuqkkH1iLDYQkBlpUK0NQNswo9/3W8YfD+eaG28hratOpbeETx7gPLBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T17:59:47.319381Z"},"content_sha256":"3b7c4ebf31a19c5f0b75f20bc89aa53b81f1d86cf73f56a0ac43f7e61281650a","schema_version":"1.0","event_id":"sha256:3b7c4ebf31a19c5f0b75f20bc89aa53b81f1d86cf73f56a0ac43f7e61281650a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/36FG3I7JXC6TK5MYFAHSYERCHF/bundle.json","state_url":"https://pith.science/pith/36FG3I7JXC6TK5MYFAHSYERCHF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/36FG3I7JXC6TK5MYFAHSYERCHF/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":"2026-05-27T17:59:47Z","links":{"resolver":"https://pith.science/pith/36FG3I7JXC6TK5MYFAHSYERCHF","bundle":"https://pith.science/pith/36FG3I7JXC6TK5MYFAHSYERCHF/bundle.json","state":"https://pith.science/pith/36FG3I7JXC6TK5MYFAHSYERCHF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/36FG3I7JXC6TK5MYFAHSYERCHF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:36FG3I7JXC6TK5MYFAHSYERCHF","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":"ce41efa484e1bf054460b3655cccf0a2d9c0310293d5969309ac3923100b74b6","cross_cats_sorted":["gr-qc","hep-th","math.MP"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math-ph","submitted_at":"2014-03-19T11:53:33Z","title_canon_sha256":"4239eb018239cfd02aadecae1f92dd148c047967622428bf088e31fcb3926622"},"schema_version":"1.0","source":{"id":"1403.4773","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.4773","created_at":"2026-05-18T02:45:04Z"},{"alias_kind":"arxiv_version","alias_value":"1403.4773v2","created_at":"2026-05-18T02:45:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.4773","created_at":"2026-05-18T02:45:04Z"},{"alias_kind":"pith_short_12","alias_value":"36FG3I7JXC6T","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"36FG3I7JXC6TK5MY","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"36FG3I7J","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:3b7c4ebf31a19c5f0b75f20bc89aa53b81f1d86cf73f56a0ac43f7e61281650a","target":"graph","created_at":"2026-05-18T02:45:04Z","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 construct the full quantum algebra, the corresponding Poisson-Lie structure and the associated quantum spacetime for a family of quantum deformations of the isometry algebras of the (2+1)-dimensional anti-de Sitter (AdS), de Sitter (dS) and Minkowski spaces. These deformations correspond to a Drinfel'd double structure on the isometry algebras that are motivated by their role in (2+1)-gravity. The construction includes the cosmological constant $\\Lambda$ as a deformation parameter, which allows one to treat these cases in a common framework and to obtain a twisted version of both space- and","authors_text":"\\'Angel Ballesteros, Catherine Meusburger, Francisco J. Herranz, Pedro Naranjo","cross_cats":["gr-qc","hep-th","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math-ph","submitted_at":"2014-03-19T11:53:33Z","title":"Twisted (2+1) $\\kappa$-AdS Algebra, Drinfel'd Doubles and Non-Commutative Spacetimes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.4773","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:da82bb419d9d255327e6191a2884c06a2c2d4ef2f648b5a31832484320773944","target":"record","created_at":"2026-05-18T02:45:04Z","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":"ce41efa484e1bf054460b3655cccf0a2d9c0310293d5969309ac3923100b74b6","cross_cats_sorted":["gr-qc","hep-th","math.MP"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math-ph","submitted_at":"2014-03-19T11:53:33Z","title_canon_sha256":"4239eb018239cfd02aadecae1f92dd148c047967622428bf088e31fcb3926622"},"schema_version":"1.0","source":{"id":"1403.4773","kind":"arxiv","version":2}},"canonical_sha256":"df8a6da3e9b8bd357598280f2c1222394a0905ff18463bcbd7682fa4c9b51a82","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"df8a6da3e9b8bd357598280f2c1222394a0905ff18463bcbd7682fa4c9b51a82","first_computed_at":"2026-05-18T02:45:04.282291Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:45:04.282291Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"COwVwRvk5bEt87I17cd33Fv4psEmP7GyUx7/1syRTUlQMFLRDUtwk2WKSBaWykqs+nPOS5nZZImunEbrlgNwCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:45:04.282812Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.4773","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da82bb419d9d255327e6191a2884c06a2c2d4ef2f648b5a31832484320773944","sha256:3b7c4ebf31a19c5f0b75f20bc89aa53b81f1d86cf73f56a0ac43f7e61281650a"],"state_sha256":"133cdb23a1ea6e215a863d74c207b837646af43c00a2e3f7162a258e91d50874"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zviteCMqMhN3/3ZMXYuYpoUeVibRsw3BWXdQ3CKBCS2/zvZThCApB8lFNktI/BXJN2pNouQV6aog3MpOxjqhBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T17:59:47.322324Z","bundle_sha256":"f284ed1d0d04a070571fe3aabd642c38e2bb3a0ffa1b7746e779391808383c20"}}