{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:TZHA6AYS6HV5RTSI4WMEAJKOUY","short_pith_number":"pith:TZHA6AYS","canonical_record":{"source":{"id":"1606.01339","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-06-04T07:31:27Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"064e14b25fe6e27fcd5d20ceb28e23eb878d2281ec317264917afee8c55dd88a","abstract_canon_sha256":"671ef47cc69936a166959eb39bc21aa27849ef39b7a2e780f4857083201bb913"},"schema_version":"1.0"},"canonical_sha256":"9e4e0f0312f1ebd8ce48e59840254ea630ba00e972935ce7ce256cab5667f9db","source":{"kind":"arxiv","id":"1606.01339","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.01339","created_at":"2026-05-18T00:49:32Z"},{"alias_kind":"arxiv_version","alias_value":"1606.01339v3","created_at":"2026-05-18T00:49:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.01339","created_at":"2026-05-18T00:49:32Z"},{"alias_kind":"pith_short_12","alias_value":"TZHA6AYS6HV5","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"TZHA6AYS6HV5RTSI","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"TZHA6AYS","created_at":"2026-05-18T12:30:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:TZHA6AYS6HV5RTSI4WMEAJKOUY","target":"record","payload":{"canonical_record":{"source":{"id":"1606.01339","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-06-04T07:31:27Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"064e14b25fe6e27fcd5d20ceb28e23eb878d2281ec317264917afee8c55dd88a","abstract_canon_sha256":"671ef47cc69936a166959eb39bc21aa27849ef39b7a2e780f4857083201bb913"},"schema_version":"1.0"},"canonical_sha256":"9e4e0f0312f1ebd8ce48e59840254ea630ba00e972935ce7ce256cab5667f9db","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:32.486720Z","signature_b64":"gi5ocFn77ijktahGVBmyl/uUDN3GGDA1e01ZlCPHVQ5lFebreoTt+6FcFRO/UkUqymSTYX8on8QU5m44pEFEAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9e4e0f0312f1ebd8ce48e59840254ea630ba00e972935ce7ce256cab5667f9db","last_reissued_at":"2026-05-18T00:49:32.486180Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:32.486180Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.01339","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":"2026-05-18T00:49:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uOfqAwcAddTBCt728ptWXUh+T9BzvS/N6vTfly/ePI67iDlmp/pJnlHH/MpcT+2DP+mJtqUrn6v9Okzjt90hDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T08:10:20.306338Z"},"content_sha256":"22f9a408233f4f0379392f3e8bcb6ad3e3b9c881fbe9787331b5a1a23a26e12d","schema_version":"1.0","event_id":"sha256:22f9a408233f4f0379392f3e8bcb6ad3e3b9c881fbe9787331b5a1a23a26e12d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:TZHA6AYS6HV5RTSI4WMEAJKOUY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A no-go theorem for the $n$-twistor description of a massive particle","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Satoshi Okano, Shinichi Deguchi","submitted_at":"2016-06-04T07:31:27Z","abstract_excerpt":"It is proved that the $n$-twistor expression of a particle's four-momentum vector reduces, by a unitary transformation, to the two-twistor expression for a massive particle or the one-twistor expression for a massless particle. Therefore the {\\em genuine} $n$-twistor description of a massive particle in four-dimensional Minkowski space fails for the case $n\\ge3$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.01339","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":"2026-05-18T00:49:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qBU5Ql6JQ9wmCqdxkudLDQ3nRzmq3Jbsrly2dtmtkBjczwYbkmZEvMOk0gd5sEK6tjNQswDjHM5lfpjg9/yKDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T08:10:20.306992Z"},"content_sha256":"7d1ecd424b940fbb4b034c52b8db09dfebbf381e9fde2797efd6b8c5d035a351","schema_version":"1.0","event_id":"sha256:7d1ecd424b940fbb4b034c52b8db09dfebbf381e9fde2797efd6b8c5d035a351"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TZHA6AYS6HV5RTSI4WMEAJKOUY/bundle.json","state_url":"https://pith.science/pith/TZHA6AYS6HV5RTSI4WMEAJKOUY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TZHA6AYS6HV5RTSI4WMEAJKOUY/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":"2026-05-27T08:10:20Z","links":{"resolver":"https://pith.science/pith/TZHA6AYS6HV5RTSI4WMEAJKOUY","bundle":"https://pith.science/pith/TZHA6AYS6HV5RTSI4WMEAJKOUY/bundle.json","state":"https://pith.science/pith/TZHA6AYS6HV5RTSI4WMEAJKOUY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TZHA6AYS6HV5RTSI4WMEAJKOUY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:TZHA6AYS6HV5RTSI4WMEAJKOUY","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":"671ef47cc69936a166959eb39bc21aa27849ef39b7a2e780f4857083201bb913","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-06-04T07:31:27Z","title_canon_sha256":"064e14b25fe6e27fcd5d20ceb28e23eb878d2281ec317264917afee8c55dd88a"},"schema_version":"1.0","source":{"id":"1606.01339","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.01339","created_at":"2026-05-18T00:49:32Z"},{"alias_kind":"arxiv_version","alias_value":"1606.01339v3","created_at":"2026-05-18T00:49:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.01339","created_at":"2026-05-18T00:49:32Z"},{"alias_kind":"pith_short_12","alias_value":"TZHA6AYS6HV5","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"TZHA6AYS6HV5RTSI","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"TZHA6AYS","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:7d1ecd424b940fbb4b034c52b8db09dfebbf381e9fde2797efd6b8c5d035a351","target":"graph","created_at":"2026-05-18T00:49:32Z","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":"It is proved that the $n$-twistor expression of a particle's four-momentum vector reduces, by a unitary transformation, to the two-twistor expression for a massive particle or the one-twistor expression for a massless particle. Therefore the {\\em genuine} $n$-twistor description of a massive particle in four-dimensional Minkowski space fails for the case $n\\ge3$.","authors_text":"Satoshi Okano, Shinichi Deguchi","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-06-04T07:31:27Z","title":"A no-go theorem for the $n$-twistor description of a massive particle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.01339","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":"sha256:22f9a408233f4f0379392f3e8bcb6ad3e3b9c881fbe9787331b5a1a23a26e12d","target":"record","created_at":"2026-05-18T00:49:32Z","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":"671ef47cc69936a166959eb39bc21aa27849ef39b7a2e780f4857083201bb913","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-06-04T07:31:27Z","title_canon_sha256":"064e14b25fe6e27fcd5d20ceb28e23eb878d2281ec317264917afee8c55dd88a"},"schema_version":"1.0","source":{"id":"1606.01339","kind":"arxiv","version":3}},"canonical_sha256":"9e4e0f0312f1ebd8ce48e59840254ea630ba00e972935ce7ce256cab5667f9db","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9e4e0f0312f1ebd8ce48e59840254ea630ba00e972935ce7ce256cab5667f9db","first_computed_at":"2026-05-18T00:49:32.486180Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:32.486180Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gi5ocFn77ijktahGVBmyl/uUDN3GGDA1e01ZlCPHVQ5lFebreoTt+6FcFRO/UkUqymSTYX8on8QU5m44pEFEAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:32.486720Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.01339","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:22f9a408233f4f0379392f3e8bcb6ad3e3b9c881fbe9787331b5a1a23a26e12d","sha256:7d1ecd424b940fbb4b034c52b8db09dfebbf381e9fde2797efd6b8c5d035a351"],"state_sha256":"e28537143688a5b0d4a004568c54f9433836f3e610dba67bf8c0e67fc125434e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aAn5TIfujmlp64DQ90s5rsQH6dotHQ4wfrj1Ta5umS5yPGLmgwUzMrBwI6aBIBc8CteF7egRh6LKXD5jGb5pBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T08:10:20.310832Z","bundle_sha256":"ab6ee5c2fb2ce7a3124b01ea364c3e0bb9c592185bdd503b099393d6f021f424"}}