{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:3H7OGHZUJWOMNG4KQU65U2D4AG","short_pith_number":"pith:3H7OGHZU","canonical_record":{"source":{"id":"0912.5451","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-12-30T12:20:29Z","cross_cats_sorted":[],"title_canon_sha256":"0e16af7509e29fd2e8754c228e1f9a8b15f5471a717ff58f5048506367aa6165","abstract_canon_sha256":"171978555e7a7605d15c7385395b2b0e99c4e848c896395cf14f59dcc1ab7242"},"schema_version":"1.0"},"canonical_sha256":"d9fee31f344d9cc69b8a853dda687c01a2eaa69f8a86cc96a86375958d079ced","source":{"kind":"arxiv","id":"0912.5451","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.5451","created_at":"2026-05-18T02:33:50Z"},{"alias_kind":"arxiv_version","alias_value":"0912.5451v3","created_at":"2026-05-18T02:33:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.5451","created_at":"2026-05-18T02:33:50Z"},{"alias_kind":"pith_short_12","alias_value":"3H7OGHZUJWOM","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"3H7OGHZUJWOMNG4K","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"3H7OGHZU","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:3H7OGHZUJWOMNG4KQU65U2D4AG","target":"record","payload":{"canonical_record":{"source":{"id":"0912.5451","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-12-30T12:20:29Z","cross_cats_sorted":[],"title_canon_sha256":"0e16af7509e29fd2e8754c228e1f9a8b15f5471a717ff58f5048506367aa6165","abstract_canon_sha256":"171978555e7a7605d15c7385395b2b0e99c4e848c896395cf14f59dcc1ab7242"},"schema_version":"1.0"},"canonical_sha256":"d9fee31f344d9cc69b8a853dda687c01a2eaa69f8a86cc96a86375958d079ced","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:50.478309Z","signature_b64":"IMnGSzsFNTDnsH4rfUBRnLNy7N6q7Jo3ui/MLN20lk+sdfk7yc9i2XdgBrQxKrxK4YE4e/9qbrRHtDe791qyCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d9fee31f344d9cc69b8a853dda687c01a2eaa69f8a86cc96a86375958d079ced","last_reissued_at":"2026-05-18T02:33:50.477878Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:50.477878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0912.5451","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:33:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZNkFi4pU8ajCHP2esfTFPrloi1cZRXantXmQ6AP05TkPKonlQ/zyZpNFkIbbqVXbTU3aPUJHBqmGSLpla2FdBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T04:16:14.989422Z"},"content_sha256":"01ddd1ce6bd1fbef7e37f7b36ea45b38522fc2529a15047566272c5fdcff4651","schema_version":"1.0","event_id":"sha256:01ddd1ce6bd1fbef7e37f7b36ea45b38522fc2529a15047566272c5fdcff4651"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:3H7OGHZUJWOMNG4KQU65U2D4AG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lorentz Covariant k-Minkowski Spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Gherardo Piacitelli, Ludwik Dabrowski, Michal Godlinski","submitted_at":"2009-12-30T12:20:29Z","abstract_excerpt":"In recent years, different views on the interpretation of Lorentz covariance of non commuting coordinates were discussed. Here, by a general procedure, we construct the minimal canonical central covariantisation of the k-Minkowski spacetime. We then show that, though the usual k-Minkowski spacetime is covariant under deformed (or twisted) Lorentz action, the resulting framework is equivalent to taking a non covariant restriction of the covariantised model. We conclude with some general comments on the approach of deformed covariance."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.5451","kind":"arxiv","version":3},"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":"2026-05-18T02:33:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dzGipp8KvPIXiR6jYQdNbFKWNPFROR6umtgs4ixHqTKTnvrSzt3JNAjkTPSqARyJjDrMxGwcjwGwBjhJXs3uCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T04:16:14.989774Z"},"content_sha256":"a6c30dde1bbf7e92d6dd24f7fac5d24770fc3f2105e7844d63adef63c7051b62","schema_version":"1.0","event_id":"sha256:a6c30dde1bbf7e92d6dd24f7fac5d24770fc3f2105e7844d63adef63c7051b62"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3H7OGHZUJWOMNG4KQU65U2D4AG/bundle.json","state_url":"https://pith.science/pith/3H7OGHZUJWOMNG4KQU65U2D4AG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3H7OGHZUJWOMNG4KQU65U2D4AG/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":"2026-06-01T04:16:14Z","links":{"resolver":"https://pith.science/pith/3H7OGHZUJWOMNG4KQU65U2D4AG","bundle":"https://pith.science/pith/3H7OGHZUJWOMNG4KQU65U2D4AG/bundle.json","state":"https://pith.science/pith/3H7OGHZUJWOMNG4KQU65U2D4AG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3H7OGHZUJWOMNG4KQU65U2D4AG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:3H7OGHZUJWOMNG4KQU65U2D4AG","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":"171978555e7a7605d15c7385395b2b0e99c4e848c896395cf14f59dcc1ab7242","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-12-30T12:20:29Z","title_canon_sha256":"0e16af7509e29fd2e8754c228e1f9a8b15f5471a717ff58f5048506367aa6165"},"schema_version":"1.0","source":{"id":"0912.5451","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.5451","created_at":"2026-05-18T02:33:50Z"},{"alias_kind":"arxiv_version","alias_value":"0912.5451v3","created_at":"2026-05-18T02:33:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.5451","created_at":"2026-05-18T02:33:50Z"},{"alias_kind":"pith_short_12","alias_value":"3H7OGHZUJWOM","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"3H7OGHZUJWOMNG4K","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"3H7OGHZU","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:a6c30dde1bbf7e92d6dd24f7fac5d24770fc3f2105e7844d63adef63c7051b62","target":"graph","created_at":"2026-05-18T02:33:50Z","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":"In recent years, different views on the interpretation of Lorentz covariance of non commuting coordinates were discussed. Here, by a general procedure, we construct the minimal canonical central covariantisation of the k-Minkowski spacetime. We then show that, though the usual k-Minkowski spacetime is covariant under deformed (or twisted) Lorentz action, the resulting framework is equivalent to taking a non covariant restriction of the covariantised model. We conclude with some general comments on the approach of deformed covariance.","authors_text":"Gherardo Piacitelli, Ludwik Dabrowski, Michal Godlinski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-12-30T12:20:29Z","title":"Lorentz Covariant k-Minkowski Spacetime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.5451","kind":"arxiv","version":3},"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":"sha256:01ddd1ce6bd1fbef7e37f7b36ea45b38522fc2529a15047566272c5fdcff4651","target":"record","created_at":"2026-05-18T02:33:50Z","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":"171978555e7a7605d15c7385395b2b0e99c4e848c896395cf14f59dcc1ab7242","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-12-30T12:20:29Z","title_canon_sha256":"0e16af7509e29fd2e8754c228e1f9a8b15f5471a717ff58f5048506367aa6165"},"schema_version":"1.0","source":{"id":"0912.5451","kind":"arxiv","version":3}},"canonical_sha256":"d9fee31f344d9cc69b8a853dda687c01a2eaa69f8a86cc96a86375958d079ced","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d9fee31f344d9cc69b8a853dda687c01a2eaa69f8a86cc96a86375958d079ced","first_computed_at":"2026-05-18T02:33:50.477878Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:50.477878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IMnGSzsFNTDnsH4rfUBRnLNy7N6q7Jo3ui/MLN20lk+sdfk7yc9i2XdgBrQxKrxK4YE4e/9qbrRHtDe791qyCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:50.478309Z","signed_message":"canonical_sha256_bytes"},"source_id":"0912.5451","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:01ddd1ce6bd1fbef7e37f7b36ea45b38522fc2529a15047566272c5fdcff4651","sha256:a6c30dde1bbf7e92d6dd24f7fac5d24770fc3f2105e7844d63adef63c7051b62"],"state_sha256":"ec643e2d4c35538107f7e92dec3c1a977d1f805ea2f2d0f9cc3a41a505c08f02"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+FB3DvotWh26d2xG2nmB78qHmrCBKJKaxV/+TctYr/oOBnblMEjfIuZ+Epl3VuuBHnhLtqSOkzQvb7SO6+sFAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T04:16:14.991976Z","bundle_sha256":"5be31b668e16c54396a7190caf17aa8c7dfd1121c04f048215ea0374dff7429d"}}