{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:D2OPMOXDMAIB75MERW5F5TRUSB","short_pith_number":"pith:D2OPMOXD","canonical_record":{"source":{"id":"1410.8680","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-10-31T09:22:48Z","cross_cats_sorted":[],"title_canon_sha256":"011778f147d1724a46a295c538c7ea1adc10e03962a81befec5a0872ab2b9f87","abstract_canon_sha256":"2c21124b693df171aa9fe3665df2b24c8f64f3a584a539bfc15fc8c17d8c3bf1"},"schema_version":"1.0"},"canonical_sha256":"1e9cf63ae360101ff5848dba5ece349046102f7b8b3debc0fee98a6ec39e1978","source":{"kind":"arxiv","id":"1410.8680","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.8680","created_at":"2026-05-18T02:38:53Z"},{"alias_kind":"arxiv_version","alias_value":"1410.8680v1","created_at":"2026-05-18T02:38:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.8680","created_at":"2026-05-18T02:38:53Z"},{"alias_kind":"pith_short_12","alias_value":"D2OPMOXDMAIB","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"D2OPMOXDMAIB75ME","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"D2OPMOXD","created_at":"2026-05-18T12:28:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:D2OPMOXDMAIB75MERW5F5TRUSB","target":"record","payload":{"canonical_record":{"source":{"id":"1410.8680","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-10-31T09:22:48Z","cross_cats_sorted":[],"title_canon_sha256":"011778f147d1724a46a295c538c7ea1adc10e03962a81befec5a0872ab2b9f87","abstract_canon_sha256":"2c21124b693df171aa9fe3665df2b24c8f64f3a584a539bfc15fc8c17d8c3bf1"},"schema_version":"1.0"},"canonical_sha256":"1e9cf63ae360101ff5848dba5ece349046102f7b8b3debc0fee98a6ec39e1978","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:53.938905Z","signature_b64":"sQQCg3ZrEe457QmN+0R8N0d/NDg4B1hHGheHVA/k0x9Sq85NUKHNn6jlptX+vRguPW03Az5Ed9HMp0HBT4qoCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1e9cf63ae360101ff5848dba5ece349046102f7b8b3debc0fee98a6ec39e1978","last_reissued_at":"2026-05-18T02:38:53.938294Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:53.938294Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1410.8680","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":"2026-05-18T02:38:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f+k9hrTBD2CwlytrneC9p6u+IqUTv0YHr88kDoubege+salxmjAvmkqrTeuU3rJBEfXcUTngbk2dDWQ6CqgTAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T00:29:01.410501Z"},"content_sha256":"57b185420974c588872f5ef5b4c1fdb8c93e18174bfe84807f1c7356265649e0","schema_version":"1.0","event_id":"sha256:57b185420974c588872f5ef5b4c1fdb8c93e18174bfe84807f1c7356265649e0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:D2OPMOXDMAIB75MERW5F5TRUSB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dirac Equation in $\\kappa$-Minkowski space-time","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Ravikant Verma","submitted_at":"2014-10-31T09:22:48Z","abstract_excerpt":"In this paper, we derive the Dirac equation in the $\\kappa$-deformed Minkowski space-time. We start with $\\kappa$-deformed Minkowski space-time and investigate the undeformed $\\kappa$-Lorentz transformation valid to all order in the deformation parameter $a$. Using the undeformed $\\kappa$-Lorentz algebra, we obtain the $\\kappa$-deformed Dirac equation, valid to all order in the deformation parameter $a$. In limit $a\\rightarrow$0, we get back the correct commutative result."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.8680","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":"2026-05-18T02:38:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VWNgl32es4ClesPROwM45ul5YX/LRdBHRVsmnN51BfUnGWXxkzNEipUIrFJ0b00s4p0oJPMdB/7GpDdk4TEMAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T00:29:01.410848Z"},"content_sha256":"860b4402373f21ba18f534b99a04b64568c58eb859bf6fa8836043ab13c147cb","schema_version":"1.0","event_id":"sha256:860b4402373f21ba18f534b99a04b64568c58eb859bf6fa8836043ab13c147cb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D2OPMOXDMAIB75MERW5F5TRUSB/bundle.json","state_url":"https://pith.science/pith/D2OPMOXDMAIB75MERW5F5TRUSB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D2OPMOXDMAIB75MERW5F5TRUSB/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":"2026-06-02T00:29:01Z","links":{"resolver":"https://pith.science/pith/D2OPMOXDMAIB75MERW5F5TRUSB","bundle":"https://pith.science/pith/D2OPMOXDMAIB75MERW5F5TRUSB/bundle.json","state":"https://pith.science/pith/D2OPMOXDMAIB75MERW5F5TRUSB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D2OPMOXDMAIB75MERW5F5TRUSB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:D2OPMOXDMAIB75MERW5F5TRUSB","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":"2c21124b693df171aa9fe3665df2b24c8f64f3a584a539bfc15fc8c17d8c3bf1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-10-31T09:22:48Z","title_canon_sha256":"011778f147d1724a46a295c538c7ea1adc10e03962a81befec5a0872ab2b9f87"},"schema_version":"1.0","source":{"id":"1410.8680","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.8680","created_at":"2026-05-18T02:38:53Z"},{"alias_kind":"arxiv_version","alias_value":"1410.8680v1","created_at":"2026-05-18T02:38:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.8680","created_at":"2026-05-18T02:38:53Z"},{"alias_kind":"pith_short_12","alias_value":"D2OPMOXDMAIB","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"D2OPMOXDMAIB75ME","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"D2OPMOXD","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:860b4402373f21ba18f534b99a04b64568c58eb859bf6fa8836043ab13c147cb","target":"graph","created_at":"2026-05-18T02:38:53Z","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 this paper, we derive the Dirac equation in the $\\kappa$-deformed Minkowski space-time. We start with $\\kappa$-deformed Minkowski space-time and investigate the undeformed $\\kappa$-Lorentz transformation valid to all order in the deformation parameter $a$. Using the undeformed $\\kappa$-Lorentz algebra, we obtain the $\\kappa$-deformed Dirac equation, valid to all order in the deformation parameter $a$. In limit $a\\rightarrow$0, we get back the correct commutative result.","authors_text":"Ravikant Verma","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-10-31T09:22:48Z","title":"Dirac Equation in $\\kappa$-Minkowski space-time"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.8680","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":"sha256:57b185420974c588872f5ef5b4c1fdb8c93e18174bfe84807f1c7356265649e0","target":"record","created_at":"2026-05-18T02:38:53Z","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":"2c21124b693df171aa9fe3665df2b24c8f64f3a584a539bfc15fc8c17d8c3bf1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-10-31T09:22:48Z","title_canon_sha256":"011778f147d1724a46a295c538c7ea1adc10e03962a81befec5a0872ab2b9f87"},"schema_version":"1.0","source":{"id":"1410.8680","kind":"arxiv","version":1}},"canonical_sha256":"1e9cf63ae360101ff5848dba5ece349046102f7b8b3debc0fee98a6ec39e1978","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e9cf63ae360101ff5848dba5ece349046102f7b8b3debc0fee98a6ec39e1978","first_computed_at":"2026-05-18T02:38:53.938294Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:53.938294Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sQQCg3ZrEe457QmN+0R8N0d/NDg4B1hHGheHVA/k0x9Sq85NUKHNn6jlptX+vRguPW03Az5Ed9HMp0HBT4qoCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:53.938905Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.8680","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57b185420974c588872f5ef5b4c1fdb8c93e18174bfe84807f1c7356265649e0","sha256:860b4402373f21ba18f534b99a04b64568c58eb859bf6fa8836043ab13c147cb"],"state_sha256":"f0c0729797ff4cbec02ec9783df430fceb22d70448bb21ef3ff32ef111391573"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xsZ+hJuSyVpXvPtygyxSVdcONZ5FUTd37Mi7CQiU1o/nFz20pgFzEwgd+XV7HVXSWqItIRwSf5Mcu6Tl+RYFBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T00:29:01.412777Z","bundle_sha256":"c3ef2c5231369906eaa6e79ba1565403cc9add5427a9e4ac131a3dbf33457c12"}}