{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:VEGBOSMVXRGD6CFPDPUUBSEYVA","short_pith_number":"pith:VEGBOSMV","canonical_record":{"source":{"id":"1202.5757","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-02-26T13:39:37Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"28b999f124a36542f327ac6a4cf94efbf2792a4304cb07cf2e7c8bce44ba5959","abstract_canon_sha256":"cd8d671fe33132afd89ed90507087ad011046b4e8a896f59182ab6a02a92219c"},"schema_version":"1.0"},"canonical_sha256":"a90c174995bc4c3f08af1be940c898a80e253c96f7392d5cd147d4853bbb5e77","source":{"kind":"arxiv","id":"1202.5757","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.5757","created_at":"2026-05-18T03:38:03Z"},{"alias_kind":"arxiv_version","alias_value":"1202.5757v3","created_at":"2026-05-18T03:38:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.5757","created_at":"2026-05-18T03:38:03Z"},{"alias_kind":"pith_short_12","alias_value":"VEGBOSMVXRGD","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"VEGBOSMVXRGD6CFP","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"VEGBOSMV","created_at":"2026-05-18T12:27:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:VEGBOSMVXRGD6CFPDPUUBSEYVA","target":"record","payload":{"canonical_record":{"source":{"id":"1202.5757","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-02-26T13:39:37Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"28b999f124a36542f327ac6a4cf94efbf2792a4304cb07cf2e7c8bce44ba5959","abstract_canon_sha256":"cd8d671fe33132afd89ed90507087ad011046b4e8a896f59182ab6a02a92219c"},"schema_version":"1.0"},"canonical_sha256":"a90c174995bc4c3f08af1be940c898a80e253c96f7392d5cd147d4853bbb5e77","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:38:03.468254Z","signature_b64":"t196bv3gw7Z6OwksBi2s6KNVl4Jv/OPRGrztIZymGzQYgPWOMtu9TYY/BUjGPZ37+HeooTtSeTGhQz662nf8Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a90c174995bc4c3f08af1be940c898a80e253c96f7392d5cd147d4853bbb5e77","last_reissued_at":"2026-05-18T03:38:03.467219Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:38:03.467219Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.5757","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":"2026-05-18T03:38:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hn7rEV0Cpr0Gzgaa+W9s2r3CpUtNrUu+YITDEveKk3E8yAnL7m9EbBJNbMXr6z9tG4Mw41jlX6TcVGY2K2i+AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T15:57:41.421741Z"},"content_sha256":"bba5a1eaea6e6c61163b0630b904c0f4885036b05a20ce770cc96fe01aba9c6c","schema_version":"1.0","event_id":"sha256:bba5a1eaea6e6c61163b0630b904c0f4885036b05a20ce770cc96fe01aba9c6c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:VEGBOSMVXRGD6CFPDPUUBSEYVA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-Grassmann mechanical model of the Dirac equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"hep-th","authors_text":"A. A. Deriglazov, B. F. Rizzuti, G. P. Z. Chauca, P. S. Castro","submitted_at":"2012-02-26T13:39:37Z","abstract_excerpt":"We construct a new example of the spinning-particle model without Grassmann variables. The spin degrees of freedom are described on the base of an inner anti-de Sitter space. This produces both $\\Gamma^\\mu$ and $\\Gamma^{\\mu\\nu}$\\,-matrices in the course of quantization. Canonical quantization of the model implies the Dirac equation. We present the detailed analysis of both the Lagrangian and the Hamiltonian formulations of the model and obtain the general solution to the classical equations of motion. Comparing {\\it Zitterbewegung} of the spatial coordinate with the evolution of spin, we ask o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.5757","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":"2026-05-18T03:38:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hGrf4wmre+QI/a4qXVFR9hdaIlaZmdDeGGcXoANGRoIr2V2AQjWY4tDD/zr93m+pfY77+e10O+DSsE9O2wz3AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T15:57:41.422090Z"},"content_sha256":"da3c8d2fd2470a89769e2dc2c975c12108f82b473e76f41fb4a323a09f7b3c32","schema_version":"1.0","event_id":"sha256:da3c8d2fd2470a89769e2dc2c975c12108f82b473e76f41fb4a323a09f7b3c32"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VEGBOSMVXRGD6CFPDPUUBSEYVA/bundle.json","state_url":"https://pith.science/pith/VEGBOSMVXRGD6CFPDPUUBSEYVA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VEGBOSMVXRGD6CFPDPUUBSEYVA/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":"2026-06-26T15:57:41Z","links":{"resolver":"https://pith.science/pith/VEGBOSMVXRGD6CFPDPUUBSEYVA","bundle":"https://pith.science/pith/VEGBOSMVXRGD6CFPDPUUBSEYVA/bundle.json","state":"https://pith.science/pith/VEGBOSMVXRGD6CFPDPUUBSEYVA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VEGBOSMVXRGD6CFPDPUUBSEYVA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:VEGBOSMVXRGD6CFPDPUUBSEYVA","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":"cd8d671fe33132afd89ed90507087ad011046b4e8a896f59182ab6a02a92219c","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-02-26T13:39:37Z","title_canon_sha256":"28b999f124a36542f327ac6a4cf94efbf2792a4304cb07cf2e7c8bce44ba5959"},"schema_version":"1.0","source":{"id":"1202.5757","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.5757","created_at":"2026-05-18T03:38:03Z"},{"alias_kind":"arxiv_version","alias_value":"1202.5757v3","created_at":"2026-05-18T03:38:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.5757","created_at":"2026-05-18T03:38:03Z"},{"alias_kind":"pith_short_12","alias_value":"VEGBOSMVXRGD","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"VEGBOSMVXRGD6CFP","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"VEGBOSMV","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:da3c8d2fd2470a89769e2dc2c975c12108f82b473e76f41fb4a323a09f7b3c32","target":"graph","created_at":"2026-05-18T03:38:03Z","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 a new example of the spinning-particle model without Grassmann variables. The spin degrees of freedom are described on the base of an inner anti-de Sitter space. This produces both $\\Gamma^\\mu$ and $\\Gamma^{\\mu\\nu}$\\,-matrices in the course of quantization. Canonical quantization of the model implies the Dirac equation. We present the detailed analysis of both the Lagrangian and the Hamiltonian formulations of the model and obtain the general solution to the classical equations of motion. Comparing {\\it Zitterbewegung} of the spatial coordinate with the evolution of spin, we ask o","authors_text":"A. A. Deriglazov, B. F. Rizzuti, G. P. Z. Chauca, P. S. Castro","cross_cats":["math-ph","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-02-26T13:39:37Z","title":"Non-Grassmann mechanical model of the Dirac equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.5757","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:bba5a1eaea6e6c61163b0630b904c0f4885036b05a20ce770cc96fe01aba9c6c","target":"record","created_at":"2026-05-18T03:38:03Z","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":"cd8d671fe33132afd89ed90507087ad011046b4e8a896f59182ab6a02a92219c","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-02-26T13:39:37Z","title_canon_sha256":"28b999f124a36542f327ac6a4cf94efbf2792a4304cb07cf2e7c8bce44ba5959"},"schema_version":"1.0","source":{"id":"1202.5757","kind":"arxiv","version":3}},"canonical_sha256":"a90c174995bc4c3f08af1be940c898a80e253c96f7392d5cd147d4853bbb5e77","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a90c174995bc4c3f08af1be940c898a80e253c96f7392d5cd147d4853bbb5e77","first_computed_at":"2026-05-18T03:38:03.467219Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:38:03.467219Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t196bv3gw7Z6OwksBi2s6KNVl4Jv/OPRGrztIZymGzQYgPWOMtu9TYY/BUjGPZ37+HeooTtSeTGhQz662nf8Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:38:03.468254Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.5757","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bba5a1eaea6e6c61163b0630b904c0f4885036b05a20ce770cc96fe01aba9c6c","sha256:da3c8d2fd2470a89769e2dc2c975c12108f82b473e76f41fb4a323a09f7b3c32"],"state_sha256":"531bc08be04d5ebf3cd8351abc288657a0fcbcc5598b8a7325a3de9b7bc523cf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ts1OBdEl3rH2KbGlrc9IhbJ10U6u7uiqIzQXAFq0TABaTOUe11aIvSNUlVRFm38ton4+9eWKSb30FU+6R/onDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T15:57:41.424365Z","bundle_sha256":"c58d9bb9f795bfa0d252f741c78e33496abb6eadff108ef87635fe3fb5eae43e"}}