{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:HUFSY6GGUU6CQKOVODNDL6Q3IU","short_pith_number":"pith:HUFSY6GG","canonical_record":{"source":{"id":"1807.06425","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2018-06-22T08:15:16Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"9f551bf93ed06076b3c5eebb4602e2ba5e4851850f1b8d1b109317b32e201119","abstract_canon_sha256":"318687da4dd4a8f7a66e4e6a30269c8ed865774ad127c4162288bc52bd9b8086"},"schema_version":"1.0"},"canonical_sha256":"3d0b2c78c6a53c2829d570da35fa1b450fe4bd86e33f69fe77191ffd1ef641a8","source":{"kind":"arxiv","id":"1807.06425","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.06425","created_at":"2026-07-05T00:37:42Z"},{"alias_kind":"arxiv_version","alias_value":"1807.06425v3","created_at":"2026-07-05T00:37:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.06425","created_at":"2026-07-05T00:37:42Z"},{"alias_kind":"pith_short_12","alias_value":"HUFSY6GGUU6C","created_at":"2026-07-05T00:37:42Z"},{"alias_kind":"pith_short_16","alias_value":"HUFSY6GGUU6CQKOV","created_at":"2026-07-05T00:37:42Z"},{"alias_kind":"pith_short_8","alias_value":"HUFSY6GG","created_at":"2026-07-05T00:37:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:HUFSY6GGUU6CQKOVODNDL6Q3IU","target":"record","payload":{"canonical_record":{"source":{"id":"1807.06425","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2018-06-22T08:15:16Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"9f551bf93ed06076b3c5eebb4602e2ba5e4851850f1b8d1b109317b32e201119","abstract_canon_sha256":"318687da4dd4a8f7a66e4e6a30269c8ed865774ad127c4162288bc52bd9b8086"},"schema_version":"1.0"},"canonical_sha256":"3d0b2c78c6a53c2829d570da35fa1b450fe4bd86e33f69fe77191ffd1ef641a8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:37:42.828768Z","signature_b64":"+7xaj3N4kMu83xt2CnrCcrmuVmKFMTEAhnqRpoLVsQfYQM7J8NlLxpEbRCWcnPocctvg/qwsJpR7naCH7oBMBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d0b2c78c6a53c2829d570da35fa1b450fe4bd86e33f69fe77191ffd1ef641a8","last_reissued_at":"2026-07-05T00:37:42.828391Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:37:42.828391Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.06425","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":"2026-07-05T00:37:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eHaCvn+1TOJ2WhV+76V78MoHRnnNLqshimHqySDwcCeyd6r31lS1FD6CDjbpBreFxkTGuq7Gfu9SIlmehpOeBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T00:21:47.330524Z"},"content_sha256":"dddf55ac1edfdbd777559e54b699b392bdd9a3dff5fb309e05bdfd5ff8fd9f2a","schema_version":"1.0","event_id":"sha256:dddf55ac1edfdbd777559e54b699b392bdd9a3dff5fb309e05bdfd5ff8fd9f2a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:HUFSY6GGUU6CQKOVODNDL6Q3IU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spin operators and representations of the Poincar\\'e group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"physics.gen-ph","authors_text":"Sam Young Cho, Taeseung Choi","submitted_at":"2018-06-22T08:15:16Z","abstract_excerpt":"We present the rigorous derivation of covariant spin operators from a general linear combination of the components of the Pauli-Lubanski vector. It is shown that only two spin operators satisfy the spin algebra and transform properly under the Lorentz transformation, which admit the two inequivalent finite-dimensional representations for the Lorentz generators through the complexification of the $SU(2)$ group. In case that the Poincar\\'e group is extended by parity operation, the spin operator in the direct sum representation of the two inequivalent representations, called the new spin disting"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.06425","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1807.06425/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T00:37:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0LpfZsbNMgAbI9xY20OK5V3yTTTpyUTXKlr8D//p4IlpPbtBt+JVMjyQ+rgIXU0XlQXhJauUL7fP2PGmfkp7BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T00:21:47.331015Z"},"content_sha256":"1fe8777c5e9830d7b56f108a162c5a92be4f02a2e294e3c5fc97b7c2f3b3a212","schema_version":"1.0","event_id":"sha256:1fe8777c5e9830d7b56f108a162c5a92be4f02a2e294e3c5fc97b7c2f3b3a212"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HUFSY6GGUU6CQKOVODNDL6Q3IU/bundle.json","state_url":"https://pith.science/pith/HUFSY6GGUU6CQKOVODNDL6Q3IU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HUFSY6GGUU6CQKOVODNDL6Q3IU/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":"2026-08-09T00:21:47Z","links":{"resolver":"https://pith.science/pith/HUFSY6GGUU6CQKOVODNDL6Q3IU","bundle":"https://pith.science/pith/HUFSY6GGUU6CQKOVODNDL6Q3IU/bundle.json","state":"https://pith.science/pith/HUFSY6GGUU6CQKOVODNDL6Q3IU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HUFSY6GGUU6CQKOVODNDL6Q3IU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:HUFSY6GGUU6CQKOVODNDL6Q3IU","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":"318687da4dd4a8f7a66e4e6a30269c8ed865774ad127c4162288bc52bd9b8086","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2018-06-22T08:15:16Z","title_canon_sha256":"9f551bf93ed06076b3c5eebb4602e2ba5e4851850f1b8d1b109317b32e201119"},"schema_version":"1.0","source":{"id":"1807.06425","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.06425","created_at":"2026-07-05T00:37:42Z"},{"alias_kind":"arxiv_version","alias_value":"1807.06425v3","created_at":"2026-07-05T00:37:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.06425","created_at":"2026-07-05T00:37:42Z"},{"alias_kind":"pith_short_12","alias_value":"HUFSY6GGUU6C","created_at":"2026-07-05T00:37:42Z"},{"alias_kind":"pith_short_16","alias_value":"HUFSY6GGUU6CQKOV","created_at":"2026-07-05T00:37:42Z"},{"alias_kind":"pith_short_8","alias_value":"HUFSY6GG","created_at":"2026-07-05T00:37:42Z"}],"graph_snapshots":[{"event_id":"sha256:1fe8777c5e9830d7b56f108a162c5a92be4f02a2e294e3c5fc97b7c2f3b3a212","target":"graph","created_at":"2026-07-05T00:37:42Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1807.06425/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present the rigorous derivation of covariant spin operators from a general linear combination of the components of the Pauli-Lubanski vector. It is shown that only two spin operators satisfy the spin algebra and transform properly under the Lorentz transformation, which admit the two inequivalent finite-dimensional representations for the Lorentz generators through the complexification of the $SU(2)$ group. In case that the Poincar\\'e group is extended by parity operation, the spin operator in the direct sum representation of the two inequivalent representations, called the new spin disting","authors_text":"Sam Young Cho, Taeseung Choi","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2018-06-22T08:15:16Z","title":"Spin operators and representations of the Poincar\\'e group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.06425","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:dddf55ac1edfdbd777559e54b699b392bdd9a3dff5fb309e05bdfd5ff8fd9f2a","target":"record","created_at":"2026-07-05T00:37:42Z","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":"318687da4dd4a8f7a66e4e6a30269c8ed865774ad127c4162288bc52bd9b8086","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2018-06-22T08:15:16Z","title_canon_sha256":"9f551bf93ed06076b3c5eebb4602e2ba5e4851850f1b8d1b109317b32e201119"},"schema_version":"1.0","source":{"id":"1807.06425","kind":"arxiv","version":3}},"canonical_sha256":"3d0b2c78c6a53c2829d570da35fa1b450fe4bd86e33f69fe77191ffd1ef641a8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d0b2c78c6a53c2829d570da35fa1b450fe4bd86e33f69fe77191ffd1ef641a8","first_computed_at":"2026-07-05T00:37:42.828391Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:37:42.828391Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+7xaj3N4kMu83xt2CnrCcrmuVmKFMTEAhnqRpoLVsQfYQM7J8NlLxpEbRCWcnPocctvg/qwsJpR7naCH7oBMBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:37:42.828768Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.06425","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dddf55ac1edfdbd777559e54b699b392bdd9a3dff5fb309e05bdfd5ff8fd9f2a","sha256:1fe8777c5e9830d7b56f108a162c5a92be4f02a2e294e3c5fc97b7c2f3b3a212"],"state_sha256":"dd0abcb22ebe0ec9190a8df0ee3bed95c8219c6bf28b6965aa16a215aae07b4d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xO3IqC8gwQd0TTfLCsO7p1aVNGxCBAJ3Scbw7cvNG95tkdskZCdCf1ezVBrt5yHNg/71Cf7Nmjfbmp/8XBI+AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T00:21:47.334462Z","bundle_sha256":"7426efdf9d5c41de03e4c630d54ce932c489f6a19b2707e368758e3f54e5262f"}}