{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:DSETO6G4YW5DITFSVBUP352ILG","short_pith_number":"pith:DSETO6G4","canonical_record":{"source":{"id":"2501.06436","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2025-01-11T04:32:41Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"7ce50e496ab84bdeb64b6091105a3ee816e88c3b16e0557a99c61543c159f734","abstract_canon_sha256":"6b1877fe30ddf69a1060112ec631be6ecc9e92a6ccbf7605089f20561cb7cf8b"},"schema_version":"1.0"},"canonical_sha256":"1c893778dcc5ba344cb2a868fdf74859add6a1e94fd8bc4b95b4c0a090c46b75","source":{"kind":"arxiv","id":"2501.06436","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.06436","created_at":"2026-07-05T10:00:03Z"},{"alias_kind":"arxiv_version","alias_value":"2501.06436v1","created_at":"2026-07-05T10:00:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.06436","created_at":"2026-07-05T10:00:03Z"},{"alias_kind":"pith_short_12","alias_value":"DSETO6G4YW5D","created_at":"2026-07-05T10:00:03Z"},{"alias_kind":"pith_short_16","alias_value":"DSETO6G4YW5DITFS","created_at":"2026-07-05T10:00:03Z"},{"alias_kind":"pith_short_8","alias_value":"DSETO6G4","created_at":"2026-07-05T10:00:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:DSETO6G4YW5DITFSVBUP352ILG","target":"record","payload":{"canonical_record":{"source":{"id":"2501.06436","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2025-01-11T04:32:41Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"7ce50e496ab84bdeb64b6091105a3ee816e88c3b16e0557a99c61543c159f734","abstract_canon_sha256":"6b1877fe30ddf69a1060112ec631be6ecc9e92a6ccbf7605089f20561cb7cf8b"},"schema_version":"1.0"},"canonical_sha256":"1c893778dcc5ba344cb2a868fdf74859add6a1e94fd8bc4b95b4c0a090c46b75","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:00:03.292722Z","signature_b64":"a4pN+2e2oblsile8k0c8VuY5VeC5Pd8U82ik97ZxPueMEHgpDqEC8kQB7y/8O+LUKXTGbAp2KTLR7758Pv1pDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1c893778dcc5ba344cb2a868fdf74859add6a1e94fd8bc4b95b4c0a090c46b75","last_reissued_at":"2026-07-05T10:00:03.292259Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:00:03.292259Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2501.06436","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":"2026-07-05T10:00:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MU8ZVElrVXdQzFIGWZZsqiDN6wS7gayROMgX4t88vmmUlnqbUfytlpugBrFzoPJh4NST4v6njAb+xQFHBIPIDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T03:57:34.764897Z"},"content_sha256":"2fe0ab72ebe4a88902d2740f1e7342ef0166ea3b62aaddf6224515197509dd82","schema_version":"1.0","event_id":"sha256:2fe0ab72ebe4a88902d2740f1e7342ef0166ea3b62aaddf6224515197509dd82"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:DSETO6G4YW5DITFSVBUP352ILG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Line Operators in the Left-Right Symmetric Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Jiaming Guo, Rui Yang, Xun Xue","submitted_at":"2025-01-11T04:32:41Z","abstract_excerpt":"In this paper, we studied line operators in the Left-Right Symmetric Model. The gauge group of Left-Right Symmetric Electroweak Model is ${G} = SU(3) \\times SU(2)_{L} \\times SU(2)_{R} \\times U(1)_{B - L}$. We derived the spectrum of line operators in all possible scenarios within left-right symmetric models. We then studied the $\\theta$ angles in left-right symmetric model. We also discuss the effect of symmetry breaking on the spectrum of line operators and $\\theta$ angles."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.06436","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2501.06436/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":"2026-07-05T10:00:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S07cam9JVwCB6tYt9YF0TFOPpmdhEi6SYGFtjAUgQijUnKrro3bKTX1vg9GwKDzrx1IODBjwzj33e4CmDH/BDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T03:57:34.765640Z"},"content_sha256":"61a9206103b21aca73204c62b67490b5871b20cb3652450d2e291e6ea5f717af","schema_version":"1.0","event_id":"sha256:61a9206103b21aca73204c62b67490b5871b20cb3652450d2e291e6ea5f717af"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DSETO6G4YW5DITFSVBUP352ILG/bundle.json","state_url":"https://pith.science/pith/DSETO6G4YW5DITFSVBUP352ILG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DSETO6G4YW5DITFSVBUP352ILG/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":"2026-08-13T03:57:34Z","links":{"resolver":"https://pith.science/pith/DSETO6G4YW5DITFSVBUP352ILG","bundle":"https://pith.science/pith/DSETO6G4YW5DITFSVBUP352ILG/bundle.json","state":"https://pith.science/pith/DSETO6G4YW5DITFSVBUP352ILG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DSETO6G4YW5DITFSVBUP352ILG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:DSETO6G4YW5DITFSVBUP352ILG","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":"6b1877fe30ddf69a1060112ec631be6ecc9e92a6ccbf7605089f20561cb7cf8b","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2025-01-11T04:32:41Z","title_canon_sha256":"7ce50e496ab84bdeb64b6091105a3ee816e88c3b16e0557a99c61543c159f734"},"schema_version":"1.0","source":{"id":"2501.06436","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.06436","created_at":"2026-07-05T10:00:03Z"},{"alias_kind":"arxiv_version","alias_value":"2501.06436v1","created_at":"2026-07-05T10:00:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.06436","created_at":"2026-07-05T10:00:03Z"},{"alias_kind":"pith_short_12","alias_value":"DSETO6G4YW5D","created_at":"2026-07-05T10:00:03Z"},{"alias_kind":"pith_short_16","alias_value":"DSETO6G4YW5DITFS","created_at":"2026-07-05T10:00:03Z"},{"alias_kind":"pith_short_8","alias_value":"DSETO6G4","created_at":"2026-07-05T10:00:03Z"}],"graph_snapshots":[{"event_id":"sha256:61a9206103b21aca73204c62b67490b5871b20cb3652450d2e291e6ea5f717af","target":"graph","created_at":"2026-07-05T10:00:03Z","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/2501.06436/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we studied line operators in the Left-Right Symmetric Model. The gauge group of Left-Right Symmetric Electroweak Model is ${G} = SU(3) \\times SU(2)_{L} \\times SU(2)_{R} \\times U(1)_{B - L}$. We derived the spectrum of line operators in all possible scenarios within left-right symmetric models. We then studied the $\\theta$ angles in left-right symmetric model. We also discuss the effect of symmetry breaking on the spectrum of line operators and $\\theta$ angles.","authors_text":"Jiaming Guo, Rui Yang, Xun Xue","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2025-01-11T04:32:41Z","title":"Line Operators in the Left-Right Symmetric Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.06436","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":"sha256:2fe0ab72ebe4a88902d2740f1e7342ef0166ea3b62aaddf6224515197509dd82","target":"record","created_at":"2026-07-05T10:00:03Z","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":"6b1877fe30ddf69a1060112ec631be6ecc9e92a6ccbf7605089f20561cb7cf8b","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2025-01-11T04:32:41Z","title_canon_sha256":"7ce50e496ab84bdeb64b6091105a3ee816e88c3b16e0557a99c61543c159f734"},"schema_version":"1.0","source":{"id":"2501.06436","kind":"arxiv","version":1}},"canonical_sha256":"1c893778dcc5ba344cb2a868fdf74859add6a1e94fd8bc4b95b4c0a090c46b75","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1c893778dcc5ba344cb2a868fdf74859add6a1e94fd8bc4b95b4c0a090c46b75","first_computed_at":"2026-07-05T10:00:03.292259Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:00:03.292259Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a4pN+2e2oblsile8k0c8VuY5VeC5Pd8U82ik97ZxPueMEHgpDqEC8kQB7y/8O+LUKXTGbAp2KTLR7758Pv1pDA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:00:03.292722Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.06436","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2fe0ab72ebe4a88902d2740f1e7342ef0166ea3b62aaddf6224515197509dd82","sha256:61a9206103b21aca73204c62b67490b5871b20cb3652450d2e291e6ea5f717af"],"state_sha256":"fadb16ee9322a64d6898dbbee694a5455e78aff2c9be8932bdbeb7b9b36ed915"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zgx2V+tcgp4aBMeBYsLGVyKYqd1Gb+/f1tRFkiioP0uBnbyOfifXSqn96l6RIRy50dEiIGHuieFCBgSSmb6oDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T03:57:34.774335Z","bundle_sha256":"8812dd2172a3376a569ec5ff28f47b5328cb8028637b7f294edb7611b419762a"}}