{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:KGPCL4OR4PWWCLAXT2OYPNQWLL","short_pith_number":"pith:KGPCL4OR","canonical_record":{"source":{"id":"1711.05050","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-11-14T10:38:54Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"3b3e7e79ad7a07f711ff2d0383c2a10e8ad6c04f4d60fe6e71d5b4aefb4c9eab","abstract_canon_sha256":"7a39a4c3779be6c6865944ccbf61b2c30bf70a65e48a400c3a763ecd67449a92"},"schema_version":"1.0"},"canonical_sha256":"519e25f1d1e3ed612c179e9d87b6165af49107ee5ad69d891ea43e7458361795","source":{"kind":"arxiv","id":"1711.05050","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.05050","created_at":"2026-05-18T00:14:11Z"},{"alias_kind":"arxiv_version","alias_value":"1711.05050v2","created_at":"2026-05-18T00:14:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.05050","created_at":"2026-05-18T00:14:11Z"},{"alias_kind":"pith_short_12","alias_value":"KGPCL4OR4PWW","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KGPCL4OR4PWWCLAX","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KGPCL4OR","created_at":"2026-05-18T12:31:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:KGPCL4OR4PWWCLAXT2OYPNQWLL","target":"record","payload":{"canonical_record":{"source":{"id":"1711.05050","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-11-14T10:38:54Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"3b3e7e79ad7a07f711ff2d0383c2a10e8ad6c04f4d60fe6e71d5b4aefb4c9eab","abstract_canon_sha256":"7a39a4c3779be6c6865944ccbf61b2c30bf70a65e48a400c3a763ecd67449a92"},"schema_version":"1.0"},"canonical_sha256":"519e25f1d1e3ed612c179e9d87b6165af49107ee5ad69d891ea43e7458361795","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:11.089352Z","signature_b64":"vXizu1XxJlq+Rx28wJ7WI7iVQTzpIjF8N4cy2r0WoBy21SF87vjgQkI2ou41lZy6AvCZteLWC3jIBuYrsZtDBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"519e25f1d1e3ed612c179e9d87b6165af49107ee5ad69d891ea43e7458361795","last_reissued_at":"2026-05-18T00:14:11.088983Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:11.088983Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.05050","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":"2026-05-18T00:14:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2P+NcY3bgBucSAq1/iiLAgzoF7YPxzQlbOS1gMgOCehtMc3oxbFq0nQtsfOU+B05Z0GTSpAfAOkymPoDuVFkAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T02:19:41.582537Z"},"content_sha256":"6ae71cc9deb51fe1b921b9828f93247b0be0d9e7b1bf1e040ff578986ef61493","schema_version":"1.0","event_id":"sha256:6ae71cc9deb51fe1b921b9828f93247b0be0d9e7b1bf1e040ff578986ef61493"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:KGPCL4OR4PWWCLAXT2OYPNQWLL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Curved momentum spaces from quantum (Anti-)de Sitter groups in (3+1) dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Angel Ballesteros, Francisco J. Herranz, Giulia Gubitosi, Iv\\'an Guti\\'errez-Sagredo","submitted_at":"2017-11-14T10:38:54Z","abstract_excerpt":"Curved momentum spaces associated to the $\\kappa$-deformation of the (3+1) de Sitter and Anti-de Sitter algebras are constructed as orbits of suitable actions of the dual Poisson-Lie group associated to the $\\kappa$-deformation with non-vanishing cosmological constant. The $\\kappa$-de Sitter and $\\kappa$-Anti-de Sitter curved momentum spaces are separately analysed, and they turn out to be, respectively, half of the (6+1)-dimensional de Sitter space and half of a space with $SO(4,4)$ invariance. Such spaces are made of the momenta associated to spacetime translations and the \"hyperbolic\" momen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.05050","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":"2026-05-18T00:14:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ll1+N2mh4QAxWx64W6/QzMhX5w7EusZPUnU12cuLIZfQLkhtE4X9Mj9DgZG7eVk2VaiGZMW/qqx4oliR+tUdAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T02:19:41.583034Z"},"content_sha256":"5953130ed77ae23819e5966765ea40d06423d05e65a84ed59abbd6976dd4ea72","schema_version":"1.0","event_id":"sha256:5953130ed77ae23819e5966765ea40d06423d05e65a84ed59abbd6976dd4ea72"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KGPCL4OR4PWWCLAXT2OYPNQWLL/bundle.json","state_url":"https://pith.science/pith/KGPCL4OR4PWWCLAXT2OYPNQWLL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KGPCL4OR4PWWCLAXT2OYPNQWLL/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":"2026-08-15T02:19:41Z","links":{"resolver":"https://pith.science/pith/KGPCL4OR4PWWCLAXT2OYPNQWLL","bundle":"https://pith.science/pith/KGPCL4OR4PWWCLAXT2OYPNQWLL/bundle.json","state":"https://pith.science/pith/KGPCL4OR4PWWCLAXT2OYPNQWLL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KGPCL4OR4PWWCLAXT2OYPNQWLL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KGPCL4OR4PWWCLAXT2OYPNQWLL","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":"7a39a4c3779be6c6865944ccbf61b2c30bf70a65e48a400c3a763ecd67449a92","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-11-14T10:38:54Z","title_canon_sha256":"3b3e7e79ad7a07f711ff2d0383c2a10e8ad6c04f4d60fe6e71d5b4aefb4c9eab"},"schema_version":"1.0","source":{"id":"1711.05050","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.05050","created_at":"2026-05-18T00:14:11Z"},{"alias_kind":"arxiv_version","alias_value":"1711.05050v2","created_at":"2026-05-18T00:14:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.05050","created_at":"2026-05-18T00:14:11Z"},{"alias_kind":"pith_short_12","alias_value":"KGPCL4OR4PWW","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KGPCL4OR4PWWCLAX","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KGPCL4OR","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:5953130ed77ae23819e5966765ea40d06423d05e65a84ed59abbd6976dd4ea72","target":"graph","created_at":"2026-05-18T00:14:11Z","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":"Curved momentum spaces associated to the $\\kappa$-deformation of the (3+1) de Sitter and Anti-de Sitter algebras are constructed as orbits of suitable actions of the dual Poisson-Lie group associated to the $\\kappa$-deformation with non-vanishing cosmological constant. The $\\kappa$-de Sitter and $\\kappa$-Anti-de Sitter curved momentum spaces are separately analysed, and they turn out to be, respectively, half of the (6+1)-dimensional de Sitter space and half of a space with $SO(4,4)$ invariance. Such spaces are made of the momenta associated to spacetime translations and the \"hyperbolic\" momen","authors_text":"Angel Ballesteros, Francisco J. Herranz, Giulia Gubitosi, Iv\\'an Guti\\'errez-Sagredo","cross_cats":["gr-qc","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-11-14T10:38:54Z","title":"Curved momentum spaces from quantum (Anti-)de Sitter groups in (3+1) dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.05050","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":"sha256:6ae71cc9deb51fe1b921b9828f93247b0be0d9e7b1bf1e040ff578986ef61493","target":"record","created_at":"2026-05-18T00:14:11Z","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":"7a39a4c3779be6c6865944ccbf61b2c30bf70a65e48a400c3a763ecd67449a92","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-11-14T10:38:54Z","title_canon_sha256":"3b3e7e79ad7a07f711ff2d0383c2a10e8ad6c04f4d60fe6e71d5b4aefb4c9eab"},"schema_version":"1.0","source":{"id":"1711.05050","kind":"arxiv","version":2}},"canonical_sha256":"519e25f1d1e3ed612c179e9d87b6165af49107ee5ad69d891ea43e7458361795","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"519e25f1d1e3ed612c179e9d87b6165af49107ee5ad69d891ea43e7458361795","first_computed_at":"2026-05-18T00:14:11.088983Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:11.088983Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vXizu1XxJlq+Rx28wJ7WI7iVQTzpIjF8N4cy2r0WoBy21SF87vjgQkI2ou41lZy6AvCZteLWC3jIBuYrsZtDBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:11.089352Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.05050","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ae71cc9deb51fe1b921b9828f93247b0be0d9e7b1bf1e040ff578986ef61493","sha256:5953130ed77ae23819e5966765ea40d06423d05e65a84ed59abbd6976dd4ea72"],"state_sha256":"76878ff63238503118bb9d15a7adad10f29587e50113dd8f1aaab657ec238105"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VLla9febhA0r2U8EFpx/95gzOqfSHJ55+7s12VwH3nSu2LqA/GQMcEi8iToPzSbwS3X/m92S2aNZvbWI42XjCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T02:19:41.587205Z","bundle_sha256":"ec31da1f2938c2e7ec0b7caeb7c0867bce35bb07efebc6d845061c7e276dad60"}}