{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:SOZL7YJ5U7YWYP2UV6HTXW5A24","short_pith_number":"pith:SOZL7YJ5","canonical_record":{"source":{"id":"math/0301263","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.RT","submitted_at":"2003-01-23T13:41:40Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a04dd73ae9edb997cdf7eb6d2ba5b253096711c2da415991105d13d50e01b415","abstract_canon_sha256":"9a41e277d11ea7ef17422f27a1367fc485ef53130e578bcb910547ea2dc85c85"},"schema_version":"1.0"},"canonical_sha256":"93b2bfe13da7f16c3f54af8f3bdba0d735993195e11e711eafc6bd1d2757f9bf","source":{"kind":"arxiv","id":"math/0301263","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0301263","created_at":"2026-05-18T01:05:29Z"},{"alias_kind":"arxiv_version","alias_value":"math/0301263v2","created_at":"2026-05-18T01:05:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0301263","created_at":"2026-05-18T01:05:29Z"},{"alias_kind":"pith_short_12","alias_value":"SOZL7YJ5U7YW","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"SOZL7YJ5U7YWYP2U","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"SOZL7YJ5","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:SOZL7YJ5U7YWYP2UV6HTXW5A24","target":"record","payload":{"canonical_record":{"source":{"id":"math/0301263","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.RT","submitted_at":"2003-01-23T13:41:40Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a04dd73ae9edb997cdf7eb6d2ba5b253096711c2da415991105d13d50e01b415","abstract_canon_sha256":"9a41e277d11ea7ef17422f27a1367fc485ef53130e578bcb910547ea2dc85c85"},"schema_version":"1.0"},"canonical_sha256":"93b2bfe13da7f16c3f54af8f3bdba0d735993195e11e711eafc6bd1d2757f9bf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:29.106040Z","signature_b64":"yqhpy03DyPz+FpPnZflzi7uECV3ZT7PMxI25HWRGwLyAAB9uaVZSjLdVPGm9lDk30vGvOVRss8kLrVhzuBymDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93b2bfe13da7f16c3f54af8f3bdba0d735993195e11e711eafc6bd1d2757f9bf","last_reissued_at":"2026-05-18T01:05:29.105442Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:29.105442Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0301263","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:05:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MEKMaZg+AjLqlYt3yKx6eEQJPSyO5aJBxxAcNhbsGTW5aBP9MZ8141bOUXPT4+M/i4FLYWOd3Rv2EkgCyZBDCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T22:55:50.458189Z"},"content_sha256":"a624de46598b35cfaf280bbf60fcf83df63967211d286cff4a3afb23d2802273","schema_version":"1.0","event_id":"sha256:a624de46598b35cfaf280bbf60fcf83df63967211d286cff4a3afb23d2802273"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:SOZL7YJ5U7YWYP2UV6HTXW5A24","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reality of non-Fock Spinors","license":"","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.RT","authors_text":"Aroldo Kaplan, Esther Galina, Linda Saal","submitted_at":"2003-01-23T13:41:40Z","abstract_excerpt":"The infinite dimensional Clifford Algebra has a maze of irreducible unitary representations. Here we determine their type -real, complex or quaternionic. Some, related to the Fermi-Fock representations, have no real or quetrnionic structures. But there are many on L(2) of the circle that do and which seem to have analytic meaning."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0301263","kind":"arxiv","version":2},"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":"2026-05-18T01:05:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8JlRUzTuqlog0RcCt6bj5Y+jlxrzJCPRaoQQxHQVFqGu31+4h05ahBvKqDDg7vW3AjUmdY39Lb0JbNLm+m+mAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T22:55:50.458790Z"},"content_sha256":"11fa44b678980fc5af7f424b831046a35c0666bcd8afe7f399d09c80fd299a72","schema_version":"1.0","event_id":"sha256:11fa44b678980fc5af7f424b831046a35c0666bcd8afe7f399d09c80fd299a72"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SOZL7YJ5U7YWYP2UV6HTXW5A24/bundle.json","state_url":"https://pith.science/pith/SOZL7YJ5U7YWYP2UV6HTXW5A24/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SOZL7YJ5U7YWYP2UV6HTXW5A24/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":"2026-07-02T22:55:50Z","links":{"resolver":"https://pith.science/pith/SOZL7YJ5U7YWYP2UV6HTXW5A24","bundle":"https://pith.science/pith/SOZL7YJ5U7YWYP2UV6HTXW5A24/bundle.json","state":"https://pith.science/pith/SOZL7YJ5U7YWYP2UV6HTXW5A24/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SOZL7YJ5U7YWYP2UV6HTXW5A24/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:SOZL7YJ5U7YWYP2UV6HTXW5A24","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":"9a41e277d11ea7ef17422f27a1367fc485ef53130e578bcb910547ea2dc85c85","cross_cats_sorted":["math-ph","math.MP"],"license":"","primary_cat":"math.RT","submitted_at":"2003-01-23T13:41:40Z","title_canon_sha256":"a04dd73ae9edb997cdf7eb6d2ba5b253096711c2da415991105d13d50e01b415"},"schema_version":"1.0","source":{"id":"math/0301263","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0301263","created_at":"2026-05-18T01:05:29Z"},{"alias_kind":"arxiv_version","alias_value":"math/0301263v2","created_at":"2026-05-18T01:05:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0301263","created_at":"2026-05-18T01:05:29Z"},{"alias_kind":"pith_short_12","alias_value":"SOZL7YJ5U7YW","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"SOZL7YJ5U7YWYP2U","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"SOZL7YJ5","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:11fa44b678980fc5af7f424b831046a35c0666bcd8afe7f399d09c80fd299a72","target":"graph","created_at":"2026-05-18T01:05:29Z","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 infinite dimensional Clifford Algebra has a maze of irreducible unitary representations. Here we determine their type -real, complex or quaternionic. Some, related to the Fermi-Fock representations, have no real or quetrnionic structures. But there are many on L(2) of the circle that do and which seem to have analytic meaning.","authors_text":"Aroldo Kaplan, Esther Galina, Linda Saal","cross_cats":["math-ph","math.MP"],"headline":"","license":"","primary_cat":"math.RT","submitted_at":"2003-01-23T13:41:40Z","title":"Reality of non-Fock Spinors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0301263","kind":"arxiv","version":2},"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:a624de46598b35cfaf280bbf60fcf83df63967211d286cff4a3afb23d2802273","target":"record","created_at":"2026-05-18T01:05:29Z","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":"9a41e277d11ea7ef17422f27a1367fc485ef53130e578bcb910547ea2dc85c85","cross_cats_sorted":["math-ph","math.MP"],"license":"","primary_cat":"math.RT","submitted_at":"2003-01-23T13:41:40Z","title_canon_sha256":"a04dd73ae9edb997cdf7eb6d2ba5b253096711c2da415991105d13d50e01b415"},"schema_version":"1.0","source":{"id":"math/0301263","kind":"arxiv","version":2}},"canonical_sha256":"93b2bfe13da7f16c3f54af8f3bdba0d735993195e11e711eafc6bd1d2757f9bf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"93b2bfe13da7f16c3f54af8f3bdba0d735993195e11e711eafc6bd1d2757f9bf","first_computed_at":"2026-05-18T01:05:29.105442Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:29.105442Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yqhpy03DyPz+FpPnZflzi7uECV3ZT7PMxI25HWRGwLyAAB9uaVZSjLdVPGm9lDk30vGvOVRss8kLrVhzuBymDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:29.106040Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0301263","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a624de46598b35cfaf280bbf60fcf83df63967211d286cff4a3afb23d2802273","sha256:11fa44b678980fc5af7f424b831046a35c0666bcd8afe7f399d09c80fd299a72"],"state_sha256":"8472b4ecb7bb67257aa34f9382cffddfe3d0b4074154a826ac85e7107f29e142"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2Abp8yyxk1642XGF67ipeTPM4pKeHxNLae3+ex4P0twfsd/uElWrP07+z6C14yudvwljX0thpKoPByd/+kPhBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T22:55:50.460783Z","bundle_sha256":"4a2820378e9dac16a90f9cc609aaebef8b5fb58dbe05f6758c34d42d4598feec"}}