{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:LCH4VU4KOEGPKVHYJ4SRVOJ5JY","short_pith_number":"pith:LCH4VU4K","canonical_record":{"source":{"id":"hep-ph/0309302","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2003-09-26T07:12:25Z","cross_cats_sorted":[],"title_canon_sha256":"0bf8f0acd81f3f456d571669f6faf9ba831a1b68e3b962ebca0d939569a1f6fe","abstract_canon_sha256":"e21a0fbcf58e067ac6b3f1eba9d430020b7eed1945df812f5e65d662bc840aa0"},"schema_version":"1.0"},"canonical_sha256":"588fcad38a710cf554f84f251ab93d4e15ea295f1f4e24657598f7ff8792a8c0","source":{"kind":"arxiv","id":"hep-ph/0309302","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0309302","created_at":"2026-07-04T16:40:54Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0309302v2","created_at":"2026-07-04T16:40:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0309302","created_at":"2026-07-04T16:40:54Z"},{"alias_kind":"pith_short_12","alias_value":"LCH4VU4KOEGP","created_at":"2026-07-04T16:40:54Z"},{"alias_kind":"pith_short_16","alias_value":"LCH4VU4KOEGPKVHY","created_at":"2026-07-04T16:40:54Z"},{"alias_kind":"pith_short_8","alias_value":"LCH4VU4K","created_at":"2026-07-04T16:40:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:LCH4VU4KOEGPKVHYJ4SRVOJ5JY","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0309302","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2003-09-26T07:12:25Z","cross_cats_sorted":[],"title_canon_sha256":"0bf8f0acd81f3f456d571669f6faf9ba831a1b68e3b962ebca0d939569a1f6fe","abstract_canon_sha256":"e21a0fbcf58e067ac6b3f1eba9d430020b7eed1945df812f5e65d662bc840aa0"},"schema_version":"1.0"},"canonical_sha256":"588fcad38a710cf554f84f251ab93d4e15ea295f1f4e24657598f7ff8792a8c0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:40:54.042782Z","signature_b64":"JgHV0SXpmVNbeKw/pHgM84CvIT4BaTcEMt/nAsvOKP6Ob25ay0VL52TjHRKmbjfCS7gq5fi3npGUB57O58vVDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"588fcad38a710cf554f84f251ab93d4e15ea295f1f4e24657598f7ff8792a8c0","last_reissued_at":"2026-07-04T16:40:54.042433Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:40:54.042433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0309302","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":"2026-07-04T16:40:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V2P5v+nFGKVIjf0+OHecAfdU9ifgfkIkR1XCojUMiL5x1QFBNJRBmI1hZ18HpdIFB3AEnCFNKLPMMvUubgKKDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T21:10:05.757287Z"},"content_sha256":"3ac3ee13e75c77790cd19261d046d0c105b6608f18676db4a4a5898ff050f04d","schema_version":"1.0","event_id":"sha256:3ac3ee13e75c77790cd19261d046d0c105b6608f18676db4a4a5898ff050f04d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:LCH4VU4KOEGPKVHYJ4SRVOJ5JY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Particle Spectra and Gauge Unification in $SU(6) \\times SU(2)_R$ Model","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Masahisa Matsuda, Takemi Hayashi, Takeo Matsuoka","submitted_at":"2003-09-26T07:12:25Z","abstract_excerpt":"We study the path from the string scale physics to the low-energy physics in the $SU(6) \\times SU(2)_R$ string-inspired model with the flavor symmetry ${\\bf Z}_M \\times {\\bf Z}_N \\times \\tilde{D}_4$. The flavor symmetry controls the mass spectra of heavy particles as well as those of quarks and leptons in the intermediate energy region ranging from the string scale ($\\sim 10^{18} {\\rm GeV}$) to the electroweak scale. In this paper we examine the mass spectra of heavy particles in detail in our model. The renormalization group evolution of the gauge couplings is studied up to two-loop order. A "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0309302","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/0309302/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":"2026-07-04T16:40:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J5OVe49ZY6ygo4EuQtyaAok05gzyxcBqQ05Ezu8FozuptFJmlomdlj3i3tIyJ621Phi1qlIIjdr1s0Rlr8SpAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T21:10:05.757693Z"},"content_sha256":"80723c4615346ab1d582a63af5aba2ac5d63e46785d2ae3297423ba5deee82cf","schema_version":"1.0","event_id":"sha256:80723c4615346ab1d582a63af5aba2ac5d63e46785d2ae3297423ba5deee82cf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LCH4VU4KOEGPKVHYJ4SRVOJ5JY/bundle.json","state_url":"https://pith.science/pith/LCH4VU4KOEGPKVHYJ4SRVOJ5JY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LCH4VU4KOEGPKVHYJ4SRVOJ5JY/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":"2026-07-04T21:10:05Z","links":{"resolver":"https://pith.science/pith/LCH4VU4KOEGPKVHYJ4SRVOJ5JY","bundle":"https://pith.science/pith/LCH4VU4KOEGPKVHYJ4SRVOJ5JY/bundle.json","state":"https://pith.science/pith/LCH4VU4KOEGPKVHYJ4SRVOJ5JY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LCH4VU4KOEGPKVHYJ4SRVOJ5JY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:LCH4VU4KOEGPKVHYJ4SRVOJ5JY","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":"e21a0fbcf58e067ac6b3f1eba9d430020b7eed1945df812f5e65d662bc840aa0","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2003-09-26T07:12:25Z","title_canon_sha256":"0bf8f0acd81f3f456d571669f6faf9ba831a1b68e3b962ebca0d939569a1f6fe"},"schema_version":"1.0","source":{"id":"hep-ph/0309302","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0309302","created_at":"2026-07-04T16:40:54Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0309302v2","created_at":"2026-07-04T16:40:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0309302","created_at":"2026-07-04T16:40:54Z"},{"alias_kind":"pith_short_12","alias_value":"LCH4VU4KOEGP","created_at":"2026-07-04T16:40:54Z"},{"alias_kind":"pith_short_16","alias_value":"LCH4VU4KOEGPKVHY","created_at":"2026-07-04T16:40:54Z"},{"alias_kind":"pith_short_8","alias_value":"LCH4VU4K","created_at":"2026-07-04T16:40:54Z"}],"graph_snapshots":[{"event_id":"sha256:80723c4615346ab1d582a63af5aba2ac5d63e46785d2ae3297423ba5deee82cf","target":"graph","created_at":"2026-07-04T16:40:54Z","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/hep-ph/0309302/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the path from the string scale physics to the low-energy physics in the $SU(6) \\times SU(2)_R$ string-inspired model with the flavor symmetry ${\\bf Z}_M \\times {\\bf Z}_N \\times \\tilde{D}_4$. The flavor symmetry controls the mass spectra of heavy particles as well as those of quarks and leptons in the intermediate energy region ranging from the string scale ($\\sim 10^{18} {\\rm GeV}$) to the electroweak scale. In this paper we examine the mass spectra of heavy particles in detail in our model. The renormalization group evolution of the gauge couplings is studied up to two-loop order. A ","authors_text":"Masahisa Matsuda, Takemi Hayashi, Takeo Matsuoka","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2003-09-26T07:12:25Z","title":"Particle Spectra and Gauge Unification in $SU(6) \\times SU(2)_R$ Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0309302","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":"sha256:3ac3ee13e75c77790cd19261d046d0c105b6608f18676db4a4a5898ff050f04d","target":"record","created_at":"2026-07-04T16:40:54Z","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":"e21a0fbcf58e067ac6b3f1eba9d430020b7eed1945df812f5e65d662bc840aa0","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2003-09-26T07:12:25Z","title_canon_sha256":"0bf8f0acd81f3f456d571669f6faf9ba831a1b68e3b962ebca0d939569a1f6fe"},"schema_version":"1.0","source":{"id":"hep-ph/0309302","kind":"arxiv","version":2}},"canonical_sha256":"588fcad38a710cf554f84f251ab93d4e15ea295f1f4e24657598f7ff8792a8c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"588fcad38a710cf554f84f251ab93d4e15ea295f1f4e24657598f7ff8792a8c0","first_computed_at":"2026-07-04T16:40:54.042433Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:40:54.042433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JgHV0SXpmVNbeKw/pHgM84CvIT4BaTcEMt/nAsvOKP6Ob25ay0VL52TjHRKmbjfCS7gq5fi3npGUB57O58vVDQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:40:54.042782Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0309302","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ac3ee13e75c77790cd19261d046d0c105b6608f18676db4a4a5898ff050f04d","sha256:80723c4615346ab1d582a63af5aba2ac5d63e46785d2ae3297423ba5deee82cf"],"state_sha256":"4ba3a821303b50c4f1c2ad303ffab1dc40430a3c6582ca532060662562039223"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YTGHGBRn9/0Q0cSCMKs2z9Crfjg0EowT+x+uHcJy3TvqMYfHX1dKo8De90DomQLYIf7l/+7Sn3ScJEG7GWL1BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T21:10:05.759618Z","bundle_sha256":"af601323644f2d6e583d931b113a7d817dd29cf446bd97529b715a29341962d1"}}