{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:SY2W3RZHTOMHKS2PDPMLFOOXZD","short_pith_number":"pith:SY2W3RZH","canonical_record":{"source":{"id":"1710.07086","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-10-19T11:14:27Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"40eb4c3e23faf07762a8be96840e6883fa6cb775f6ee97f51c57868d379cc880","abstract_canon_sha256":"8e19a4b8717cbac4ee1760c99cba6f31d63bb199302d4c29d5ebc34f41cece59"},"schema_version":"1.0"},"canonical_sha256":"96356dc7279b98754b4f1bd8b2b9d7c8f17411b08ee013abb132bf314f8acca8","source":{"kind":"arxiv","id":"1710.07086","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.07086","created_at":"2026-05-18T00:29:59Z"},{"alias_kind":"arxiv_version","alias_value":"1710.07086v1","created_at":"2026-05-18T00:29:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.07086","created_at":"2026-05-18T00:29:59Z"},{"alias_kind":"pith_short_12","alias_value":"SY2W3RZHTOMH","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SY2W3RZHTOMHKS2P","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SY2W3RZH","created_at":"2026-05-18T12:31:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:SY2W3RZHTOMHKS2PDPMLFOOXZD","target":"record","payload":{"canonical_record":{"source":{"id":"1710.07086","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-10-19T11:14:27Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"40eb4c3e23faf07762a8be96840e6883fa6cb775f6ee97f51c57868d379cc880","abstract_canon_sha256":"8e19a4b8717cbac4ee1760c99cba6f31d63bb199302d4c29d5ebc34f41cece59"},"schema_version":"1.0"},"canonical_sha256":"96356dc7279b98754b4f1bd8b2b9d7c8f17411b08ee013abb132bf314f8acca8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:59.341676Z","signature_b64":"AcLved0oOXzwM17UW8wRws3HThO5JVyvERHfcT9NuRbHl9H0SJSszw4QcSJjWUyoHbjwGFnjoLaPP7hNiaiWCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"96356dc7279b98754b4f1bd8b2b9d7c8f17411b08ee013abb132bf314f8acca8","last_reissued_at":"2026-05-18T00:29:59.341247Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:59.341247Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.07086","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":"2026-05-18T00:29:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eUNKKTc7ETVpGosKWiVE4oGneuHZhYY3ci6+8XdN5waiGGCooghfH0O2DeSKs9nWaECezHl80AWlg9dQZHBLDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T11:58:23.759576Z"},"content_sha256":"7a672e93f7fad4f1f4c0d733cb0ab9403c90d5a9d331357a532a9caec69fd4c2","schema_version":"1.0","event_id":"sha256:7a672e93f7fad4f1f4c0d733cb0ab9403c90d5a9d331357a532a9caec69fd4c2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:SY2W3RZHTOMHKS2PDPMLFOOXZD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The (restricted) Inomata-McKinley spinor representation and the underlying topology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"D. Beghetto, J. M. Hoff da Silva","submitted_at":"2017-10-19T11:14:27Z","abstract_excerpt":"The so called Inomata-McKinley spinors are a particular solution of the non-linear Heisenberg equation. In fact, free linear massive (or mass-less) Dirac fields are well known to be represented as a combination of Inomata-McKinley spinors. More recently, a subclass of Inomata-McKinley spinors were used to describe neutrino physics. In this paper we show that Dirac spinors undergoing this restricted Inomata-McKinley decomposition are necessarily of the first type, according to the Lounesto classification. Moreover, we also show that this type one subclass spinors has not an exotic counterpart. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.07086","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":"2026-05-18T00:29:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Cv3FJEbngczJtVTSx4GOMLsl75gv4oZjRNuIjuLK/hUwGI24dSNzETAqWzTMAzemBq4OYLBQYB6Lrpep7Tf7Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T11:58:23.759931Z"},"content_sha256":"ad542e5542d48d6ac4c22f5aa300cf989e85bf90ff0ddfd58d04f568b6267491","schema_version":"1.0","event_id":"sha256:ad542e5542d48d6ac4c22f5aa300cf989e85bf90ff0ddfd58d04f568b6267491"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SY2W3RZHTOMHKS2PDPMLFOOXZD/bundle.json","state_url":"https://pith.science/pith/SY2W3RZHTOMHKS2PDPMLFOOXZD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SY2W3RZHTOMHKS2PDPMLFOOXZD/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":"2026-06-22T11:58:23Z","links":{"resolver":"https://pith.science/pith/SY2W3RZHTOMHKS2PDPMLFOOXZD","bundle":"https://pith.science/pith/SY2W3RZHTOMHKS2PDPMLFOOXZD/bundle.json","state":"https://pith.science/pith/SY2W3RZHTOMHKS2PDPMLFOOXZD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SY2W3RZHTOMHKS2PDPMLFOOXZD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SY2W3RZHTOMHKS2PDPMLFOOXZD","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":"8e19a4b8717cbac4ee1760c99cba6f31d63bb199302d4c29d5ebc34f41cece59","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-10-19T11:14:27Z","title_canon_sha256":"40eb4c3e23faf07762a8be96840e6883fa6cb775f6ee97f51c57868d379cc880"},"schema_version":"1.0","source":{"id":"1710.07086","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.07086","created_at":"2026-05-18T00:29:59Z"},{"alias_kind":"arxiv_version","alias_value":"1710.07086v1","created_at":"2026-05-18T00:29:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.07086","created_at":"2026-05-18T00:29:59Z"},{"alias_kind":"pith_short_12","alias_value":"SY2W3RZHTOMH","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SY2W3RZHTOMHKS2P","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SY2W3RZH","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:ad542e5542d48d6ac4c22f5aa300cf989e85bf90ff0ddfd58d04f568b6267491","target":"graph","created_at":"2026-05-18T00:29:59Z","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":"The so called Inomata-McKinley spinors are a particular solution of the non-linear Heisenberg equation. In fact, free linear massive (or mass-less) Dirac fields are well known to be represented as a combination of Inomata-McKinley spinors. More recently, a subclass of Inomata-McKinley spinors were used to describe neutrino physics. In this paper we show that Dirac spinors undergoing this restricted Inomata-McKinley decomposition are necessarily of the first type, according to the Lounesto classification. Moreover, we also show that this type one subclass spinors has not an exotic counterpart. ","authors_text":"D. Beghetto, J. M. Hoff da Silva","cross_cats":["hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-10-19T11:14:27Z","title":"The (restricted) Inomata-McKinley spinor representation and the underlying topology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.07086","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":"sha256:7a672e93f7fad4f1f4c0d733cb0ab9403c90d5a9d331357a532a9caec69fd4c2","target":"record","created_at":"2026-05-18T00:29:59Z","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":"8e19a4b8717cbac4ee1760c99cba6f31d63bb199302d4c29d5ebc34f41cece59","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-10-19T11:14:27Z","title_canon_sha256":"40eb4c3e23faf07762a8be96840e6883fa6cb775f6ee97f51c57868d379cc880"},"schema_version":"1.0","source":{"id":"1710.07086","kind":"arxiv","version":1}},"canonical_sha256":"96356dc7279b98754b4f1bd8b2b9d7c8f17411b08ee013abb132bf314f8acca8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"96356dc7279b98754b4f1bd8b2b9d7c8f17411b08ee013abb132bf314f8acca8","first_computed_at":"2026-05-18T00:29:59.341247Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:59.341247Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AcLved0oOXzwM17UW8wRws3HThO5JVyvERHfcT9NuRbHl9H0SJSszw4QcSJjWUyoHbjwGFnjoLaPP7hNiaiWCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:59.341676Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.07086","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7a672e93f7fad4f1f4c0d733cb0ab9403c90d5a9d331357a532a9caec69fd4c2","sha256:ad542e5542d48d6ac4c22f5aa300cf989e85bf90ff0ddfd58d04f568b6267491"],"state_sha256":"6d4eaebb8db086b7146132d6622c5869d287c85eecf52e25b72ae163129f9840"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FCTUrXiwnB0KjSvyYiLms+Yp34qrY/T8V8kv1QvM3KZVPEjTFudqciE6qM1/N6ToJvb6ojvZD12vGUZp888LCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T11:58:23.761948Z","bundle_sha256":"9505ef8fd0cf7d2b5262db473222905e89086f3f30d400f3d235ea19965a0947"}}