{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:FKTHFERRAOQSQATUZUJ54BQEMT","short_pith_number":"pith:FKTHFERR","canonical_record":{"source":{"id":"1102.1655","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-02-08T16:49:53Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"a7e61133d9016a27fde88ff1d4c0e217d11fd26cd7d90eef39d48653b8643f3a","abstract_canon_sha256":"edf4328667c9a4ec075ad1149881a2fd6ca362dc30dc184d3bad1e65358c0206"},"schema_version":"1.0"},"canonical_sha256":"2aa672923103a1280274cd13de060464ea544155e42ad53599e76c7517783f54","source":{"kind":"arxiv","id":"1102.1655","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.1655","created_at":"2026-05-18T04:26:32Z"},{"alias_kind":"arxiv_version","alias_value":"1102.1655v1","created_at":"2026-05-18T04:26:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.1655","created_at":"2026-05-18T04:26:32Z"},{"alias_kind":"pith_short_12","alias_value":"FKTHFERRAOQS","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FKTHFERRAOQSQATU","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FKTHFERR","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:FKTHFERRAOQSQATUZUJ54BQEMT","target":"record","payload":{"canonical_record":{"source":{"id":"1102.1655","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-02-08T16:49:53Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"a7e61133d9016a27fde88ff1d4c0e217d11fd26cd7d90eef39d48653b8643f3a","abstract_canon_sha256":"edf4328667c9a4ec075ad1149881a2fd6ca362dc30dc184d3bad1e65358c0206"},"schema_version":"1.0"},"canonical_sha256":"2aa672923103a1280274cd13de060464ea544155e42ad53599e76c7517783f54","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:26:32.576419Z","signature_b64":"QBTzyr4ygvX0cGvYNtwrfu2PYQ9heMYfTirFNxt4oHb8L70wDX5ETn6EpNZTpNnMVAKOAd5DPGlUl2hKTlJ3CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2aa672923103a1280274cd13de060464ea544155e42ad53599e76c7517783f54","last_reissued_at":"2026-05-18T04:26:32.575852Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:26:32.575852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1102.1655","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:26:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e/+SJFDSNrvYw0qZOxRYmgK2oR/74hnRFUHiFYxv9eXAcCb4PpT/mXHv/GXukjjEjEpnFMM5P8N+qa+fzFOuDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T22:07:25.381578Z"},"content_sha256":"dcb2e70dd9c1d7584cf3c6d82de6409ee3c674ad124c5a3ec645b46fdfd285cd","schema_version":"1.0","event_id":"sha256:dcb2e70dd9c1d7584cf3c6d82de6409ee3c674ad124c5a3ec645b46fdfd285cd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:FKTHFERRAOQSQATUZUJ54BQEMT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Kappa Snyder deformations of Minkowski spacetime, realizations and Hopf algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Andjelo Samsarov, Daniel Meljanac, Marko Stojic, Stjepan Meljanac","submitted_at":"2011-02-08T16:49:53Z","abstract_excerpt":"We present Lie-algebraic deformations of Minkowski space with undeformed Poincar\\'{e} algebra. These deformations interpolate between Snyder and $\\kappa$-Minkowski space. We find realizations of noncommutative coordinates in terms of commutative coordinates and derivatives. By introducing modules, it is shown that although deformed and undeformed structures are not isomorphic at the level of vector spaces, they are however isomorphic at the level of Hopf algebraic action on corresponding modules. Invariants and tensors with respect to Lorentz algebra are discussed. A general mapping from $\\kap"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.1655","kind":"arxiv","version":1},"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":"2026-05-18T04:26:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8oFI+AYKjLnfKNRf8soqksNFZ3Wu8iAv8I/CwhM0gRZ5m5b9nrsVkypR8e5vQIocFIPRiJsB6u/zkM3wv91sBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T22:07:25.381924Z"},"content_sha256":"62c60b2499cf81117eda24e010cbb48c1ce5bd029beeade7f50009413f8e9f05","schema_version":"1.0","event_id":"sha256:62c60b2499cf81117eda24e010cbb48c1ce5bd029beeade7f50009413f8e9f05"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FKTHFERRAOQSQATUZUJ54BQEMT/bundle.json","state_url":"https://pith.science/pith/FKTHFERRAOQSQATUZUJ54BQEMT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FKTHFERRAOQSQATUZUJ54BQEMT/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":"2026-07-04T22:07:25Z","links":{"resolver":"https://pith.science/pith/FKTHFERRAOQSQATUZUJ54BQEMT","bundle":"https://pith.science/pith/FKTHFERRAOQSQATUZUJ54BQEMT/bundle.json","state":"https://pith.science/pith/FKTHFERRAOQSQATUZUJ54BQEMT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FKTHFERRAOQSQATUZUJ54BQEMT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:FKTHFERRAOQSQATUZUJ54BQEMT","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":"edf4328667c9a4ec075ad1149881a2fd6ca362dc30dc184d3bad1e65358c0206","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-02-08T16:49:53Z","title_canon_sha256":"a7e61133d9016a27fde88ff1d4c0e217d11fd26cd7d90eef39d48653b8643f3a"},"schema_version":"1.0","source":{"id":"1102.1655","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.1655","created_at":"2026-05-18T04:26:32Z"},{"alias_kind":"arxiv_version","alias_value":"1102.1655v1","created_at":"2026-05-18T04:26:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.1655","created_at":"2026-05-18T04:26:32Z"},{"alias_kind":"pith_short_12","alias_value":"FKTHFERRAOQS","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FKTHFERRAOQSQATU","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FKTHFERR","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:62c60b2499cf81117eda24e010cbb48c1ce5bd029beeade7f50009413f8e9f05","target":"graph","created_at":"2026-05-18T04:26:32Z","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 present Lie-algebraic deformations of Minkowski space with undeformed Poincar\\'{e} algebra. These deformations interpolate between Snyder and $\\kappa$-Minkowski space. We find realizations of noncommutative coordinates in terms of commutative coordinates and derivatives. By introducing modules, it is shown that although deformed and undeformed structures are not isomorphic at the level of vector spaces, they are however isomorphic at the level of Hopf algebraic action on corresponding modules. Invariants and tensors with respect to Lorentz algebra are discussed. A general mapping from $\\kap","authors_text":"Andjelo Samsarov, Daniel Meljanac, Marko Stojic, Stjepan Meljanac","cross_cats":["hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-02-08T16:49:53Z","title":"Kappa Snyder deformations of Minkowski spacetime, realizations and Hopf algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.1655","kind":"arxiv","version":1},"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:dcb2e70dd9c1d7584cf3c6d82de6409ee3c674ad124c5a3ec645b46fdfd285cd","target":"record","created_at":"2026-05-18T04:26:32Z","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":"edf4328667c9a4ec075ad1149881a2fd6ca362dc30dc184d3bad1e65358c0206","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-02-08T16:49:53Z","title_canon_sha256":"a7e61133d9016a27fde88ff1d4c0e217d11fd26cd7d90eef39d48653b8643f3a"},"schema_version":"1.0","source":{"id":"1102.1655","kind":"arxiv","version":1}},"canonical_sha256":"2aa672923103a1280274cd13de060464ea544155e42ad53599e76c7517783f54","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2aa672923103a1280274cd13de060464ea544155e42ad53599e76c7517783f54","first_computed_at":"2026-05-18T04:26:32.575852Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:26:32.575852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QBTzyr4ygvX0cGvYNtwrfu2PYQ9heMYfTirFNxt4oHb8L70wDX5ETn6EpNZTpNnMVAKOAd5DPGlUl2hKTlJ3CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:26:32.576419Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.1655","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dcb2e70dd9c1d7584cf3c6d82de6409ee3c674ad124c5a3ec645b46fdfd285cd","sha256:62c60b2499cf81117eda24e010cbb48c1ce5bd029beeade7f50009413f8e9f05"],"state_sha256":"e44117571e66ee413fc2f10c469714bd01b06dec70276f5cb3666ecbf8ab5eb4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kMhNk4DKuNLY+robs9IVZGUAEGeBFbuVAz+AKztsqjlag/xmzfgxjTT2tU5nv/yteR6+WzCbjHbksjK6h1azCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T22:07:25.383795Z","bundle_sha256":"1bb5808eaa6310eda240eefa14551b46a75a4b2e238dd184ed949aca660b144a"}}