{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:35U32O4PKZ2CXKN3BV2WGEP75N","short_pith_number":"pith:35U32O4P","canonical_record":{"source":{"id":"1312.6655","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"quant-ph","submitted_at":"2013-12-07T16:24:32Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"e8bc7c00081e538e41469ec0d6d178c134e591222d6dc6619ce6677eb1ad4b83","abstract_canon_sha256":"fd5fe59ffb869351caac3a48c8a3eb91ccd052825556f3525dd2361367072798"},"schema_version":"1.0"},"canonical_sha256":"df69bd3b8f56742ba9bb0d756311ffeb4e9b88b7df01d647aeeea1e49d27a14b","source":{"kind":"arxiv","id":"1312.6655","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.6655","created_at":"2026-05-18T03:03:57Z"},{"alias_kind":"arxiv_version","alias_value":"1312.6655v1","created_at":"2026-05-18T03:03:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.6655","created_at":"2026-05-18T03:03:57Z"},{"alias_kind":"pith_short_12","alias_value":"35U32O4PKZ2C","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"35U32O4PKZ2CXKN3","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"35U32O4P","created_at":"2026-05-18T12:27:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:35U32O4PKZ2CXKN3BV2WGEP75N","target":"record","payload":{"canonical_record":{"source":{"id":"1312.6655","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"quant-ph","submitted_at":"2013-12-07T16:24:32Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"e8bc7c00081e538e41469ec0d6d178c134e591222d6dc6619ce6677eb1ad4b83","abstract_canon_sha256":"fd5fe59ffb869351caac3a48c8a3eb91ccd052825556f3525dd2361367072798"},"schema_version":"1.0"},"canonical_sha256":"df69bd3b8f56742ba9bb0d756311ffeb4e9b88b7df01d647aeeea1e49d27a14b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:03:57.270502Z","signature_b64":"Mqkpwwp5U9WYO8bZwZNOs8k2O3m3tW+ayf9m0ZWP9y2lNDD938k3OLV6hqGVARQ8WWpJVhJloDz4THGE3P7wCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"df69bd3b8f56742ba9bb0d756311ffeb4e9b88b7df01d647aeeea1e49d27a14b","last_reissued_at":"2026-05-18T03:03:57.269765Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:03:57.269765Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.6655","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":"2026-05-18T03:03:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UOJFFeIAIoQT5m33tNfcw9TLDFjFkAGJ0QMByQ9cACHkRoOpIWIP+GAI+9ukwwvtqFIvSk4ASmdfWdWmvCy1CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T17:35:37.201038Z"},"content_sha256":"a94980c920622bd63941a040b65b026e0deddb245896c29b6b7b85568a4eed59","schema_version":"1.0","event_id":"sha256:a94980c920622bd63941a040b65b026e0deddb245896c29b6b7b85568a4eed59"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:35U32O4PKZ2CXKN3BV2WGEP75N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An application of two-spinors calculus to quantum field and quantum mechanics problems","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"A. G. Ulyanova, D. S. Kulyabov","submitted_at":"2013-12-07T16:24:32Z","abstract_excerpt":"This paper describes the Lorentz two-spinors proposing to use them instead of Dirac four-spinors and quaternions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.6655","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":"2026-05-18T03:03:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a9YwVozla4iL8Vnk4saS9u3DO2Cu04/Lk0nY0H4F7CwNC5dE51mJzCFFjeKMoCBbqOX4apgemEK9s24SuCcDBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T17:35:37.201702Z"},"content_sha256":"f9b79d98d11e44a432f38811c0af75f9cf91e11e7c031397084d3aac81ebd7f3","schema_version":"1.0","event_id":"sha256:f9b79d98d11e44a432f38811c0af75f9cf91e11e7c031397084d3aac81ebd7f3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/35U32O4PKZ2CXKN3BV2WGEP75N/bundle.json","state_url":"https://pith.science/pith/35U32O4PKZ2CXKN3BV2WGEP75N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/35U32O4PKZ2CXKN3BV2WGEP75N/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":"2026-06-03T17:35:37Z","links":{"resolver":"https://pith.science/pith/35U32O4PKZ2CXKN3BV2WGEP75N","bundle":"https://pith.science/pith/35U32O4PKZ2CXKN3BV2WGEP75N/bundle.json","state":"https://pith.science/pith/35U32O4PKZ2CXKN3BV2WGEP75N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/35U32O4PKZ2CXKN3BV2WGEP75N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:35U32O4PKZ2CXKN3BV2WGEP75N","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":"fd5fe59ffb869351caac3a48c8a3eb91ccd052825556f3525dd2361367072798","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"quant-ph","submitted_at":"2013-12-07T16:24:32Z","title_canon_sha256":"e8bc7c00081e538e41469ec0d6d178c134e591222d6dc6619ce6677eb1ad4b83"},"schema_version":"1.0","source":{"id":"1312.6655","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.6655","created_at":"2026-05-18T03:03:57Z"},{"alias_kind":"arxiv_version","alias_value":"1312.6655v1","created_at":"2026-05-18T03:03:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.6655","created_at":"2026-05-18T03:03:57Z"},{"alias_kind":"pith_short_12","alias_value":"35U32O4PKZ2C","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"35U32O4PKZ2CXKN3","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"35U32O4P","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:f9b79d98d11e44a432f38811c0af75f9cf91e11e7c031397084d3aac81ebd7f3","target":"graph","created_at":"2026-05-18T03:03:57Z","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":"This paper describes the Lorentz two-spinors proposing to use them instead of Dirac four-spinors and quaternions.","authors_text":"A. G. Ulyanova, D. S. Kulyabov","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"quant-ph","submitted_at":"2013-12-07T16:24:32Z","title":"An application of two-spinors calculus to quantum field and quantum mechanics problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.6655","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:a94980c920622bd63941a040b65b026e0deddb245896c29b6b7b85568a4eed59","target":"record","created_at":"2026-05-18T03:03:57Z","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":"fd5fe59ffb869351caac3a48c8a3eb91ccd052825556f3525dd2361367072798","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"quant-ph","submitted_at":"2013-12-07T16:24:32Z","title_canon_sha256":"e8bc7c00081e538e41469ec0d6d178c134e591222d6dc6619ce6677eb1ad4b83"},"schema_version":"1.0","source":{"id":"1312.6655","kind":"arxiv","version":1}},"canonical_sha256":"df69bd3b8f56742ba9bb0d756311ffeb4e9b88b7df01d647aeeea1e49d27a14b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"df69bd3b8f56742ba9bb0d756311ffeb4e9b88b7df01d647aeeea1e49d27a14b","first_computed_at":"2026-05-18T03:03:57.269765Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:03:57.269765Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Mqkpwwp5U9WYO8bZwZNOs8k2O3m3tW+ayf9m0ZWP9y2lNDD938k3OLV6hqGVARQ8WWpJVhJloDz4THGE3P7wCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:03:57.270502Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.6655","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a94980c920622bd63941a040b65b026e0deddb245896c29b6b7b85568a4eed59","sha256:f9b79d98d11e44a432f38811c0af75f9cf91e11e7c031397084d3aac81ebd7f3"],"state_sha256":"1795f49a3910417fbfcff66b5c2a274fd4268114fa4a57c4f29fb781246a2549"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fytvO7MgJT9uHyOZDXka5DjLK/aDhKcIxn2TLrgGGKVEn8YH5gQ63xmxqnPyqTqFvAtUZxhrb2O8hoZh1W/dCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T17:35:37.204680Z","bundle_sha256":"a1bff7c2507ce88f5041d93d79677eff808acd5e136267cf33957eec2aee872e"}}