{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:765ES6EHH3WHLEYABGVW67DGSS","short_pith_number":"pith:765ES6EH","canonical_record":{"source":{"id":"2004.00723","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2020-04-01T22:28:08Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"868b6fd910fb896025def4a900f9dc7da752cde6d577ce66f0f0dfca73edf9cf","abstract_canon_sha256":"259423e9d441da08125825bb0bae0138bf1afa3bd50be978ce5bf1901d661438"},"schema_version":"1.0"},"canonical_sha256":"ffba4978873eec75930009ab6f7c6694bde61d0dadae45ac6bf2dca7cf8ab373","source":{"kind":"arxiv","id":"2004.00723","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2004.00723","created_at":"2026-07-05T04:48:05Z"},{"alias_kind":"arxiv_version","alias_value":"2004.00723v2","created_at":"2026-07-05T04:48:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.00723","created_at":"2026-07-05T04:48:05Z"},{"alias_kind":"pith_short_12","alias_value":"765ES6EHH3WH","created_at":"2026-07-05T04:48:05Z"},{"alias_kind":"pith_short_16","alias_value":"765ES6EHH3WHLEYA","created_at":"2026-07-05T04:48:05Z"},{"alias_kind":"pith_short_8","alias_value":"765ES6EH","created_at":"2026-07-05T04:48:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:765ES6EHH3WHLEYABGVW67DGSS","target":"record","payload":{"canonical_record":{"source":{"id":"2004.00723","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2020-04-01T22:28:08Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"868b6fd910fb896025def4a900f9dc7da752cde6d577ce66f0f0dfca73edf9cf","abstract_canon_sha256":"259423e9d441da08125825bb0bae0138bf1afa3bd50be978ce5bf1901d661438"},"schema_version":"1.0"},"canonical_sha256":"ffba4978873eec75930009ab6f7c6694bde61d0dadae45ac6bf2dca7cf8ab373","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:48:05.609455Z","signature_b64":"XvnStjQMUzsgZbYyHH7wD9AuShzZogyjwgfZGJAkh0CRm81sMfiOzNeXysf1Zcj5wU7TjJeu8ry1D5OWfR9uCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ffba4978873eec75930009ab6f7c6694bde61d0dadae45ac6bf2dca7cf8ab373","last_reissued_at":"2026-07-05T04:48:05.609035Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:48:05.609035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2004.00723","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":"2026-07-05T04:48:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X67Q8S5hAP940fWGwB4GIVhx+bcpo2SgRY4hZtdjFCWN8si9agodkbeXlgD9oEAFAe9fOCJkQ65cjfhk9WEgDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T04:23:06.622895Z"},"content_sha256":"f6763419ba909eacd260ba6b236d677eb9142966bd8067f59691516ede252cdb","schema_version":"1.0","event_id":"sha256:f6763419ba909eacd260ba6b236d677eb9142966bd8067f59691516ede252cdb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:765ES6EHH3WHLEYABGVW67DGSS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Massive gauge particles versus Goldstone bosons in non-Hermitian non-Abelian gauge theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Andreas Fring, Takanobu Taira","submitted_at":"2020-04-01T22:28:08Z","abstract_excerpt":"We investigate the Englert-Brout-Higgs-Guralnik-Hagen-Kibble mechanism for non-Hermitian field theories with local non-Abelian gauge symmetry in different regions of their parameter spaces. We demonstrate that the two aspects of the mechanism, that is giving mass to gauge vector bosons and at the same time preventing the existence of massless Goldstone bosons, remain to be synchronized in all regimes characterized by a modified CPT symmetry. In the domain of parameter space where the \"would be Goldstone bosons\" can be identified the gauge vector bosons become massive and the Goldstone bosons c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.00723","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/2004.00723/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":"2026-07-05T04:48:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cLSQ9+yWSiUKbFOZF3HrkxN874yBuZKP7i8UwBBklcDn6XYT4z0xK4BSljokjSHOOOamIrTvGYBxmwH7jLaMDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T04:23:06.623415Z"},"content_sha256":"f35296d934a384c134f5a8c0468e9a20906f8f4bdf7c6bc07789ba7e1e88b550","schema_version":"1.0","event_id":"sha256:f35296d934a384c134f5a8c0468e9a20906f8f4bdf7c6bc07789ba7e1e88b550"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/765ES6EHH3WHLEYABGVW67DGSS/bundle.json","state_url":"https://pith.science/pith/765ES6EHH3WHLEYABGVW67DGSS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/765ES6EHH3WHLEYABGVW67DGSS/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":"2026-08-13T04:23:06Z","links":{"resolver":"https://pith.science/pith/765ES6EHH3WHLEYABGVW67DGSS","bundle":"https://pith.science/pith/765ES6EHH3WHLEYABGVW67DGSS/bundle.json","state":"https://pith.science/pith/765ES6EHH3WHLEYABGVW67DGSS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/765ES6EHH3WHLEYABGVW67DGSS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:765ES6EHH3WHLEYABGVW67DGSS","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":"259423e9d441da08125825bb0bae0138bf1afa3bd50be978ce5bf1901d661438","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2020-04-01T22:28:08Z","title_canon_sha256":"868b6fd910fb896025def4a900f9dc7da752cde6d577ce66f0f0dfca73edf9cf"},"schema_version":"1.0","source":{"id":"2004.00723","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2004.00723","created_at":"2026-07-05T04:48:05Z"},{"alias_kind":"arxiv_version","alias_value":"2004.00723v2","created_at":"2026-07-05T04:48:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.00723","created_at":"2026-07-05T04:48:05Z"},{"alias_kind":"pith_short_12","alias_value":"765ES6EHH3WH","created_at":"2026-07-05T04:48:05Z"},{"alias_kind":"pith_short_16","alias_value":"765ES6EHH3WHLEYA","created_at":"2026-07-05T04:48:05Z"},{"alias_kind":"pith_short_8","alias_value":"765ES6EH","created_at":"2026-07-05T04:48:05Z"}],"graph_snapshots":[{"event_id":"sha256:f35296d934a384c134f5a8c0468e9a20906f8f4bdf7c6bc07789ba7e1e88b550","target":"graph","created_at":"2026-07-05T04:48:05Z","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/2004.00723/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the Englert-Brout-Higgs-Guralnik-Hagen-Kibble mechanism for non-Hermitian field theories with local non-Abelian gauge symmetry in different regions of their parameter spaces. We demonstrate that the two aspects of the mechanism, that is giving mass to gauge vector bosons and at the same time preventing the existence of massless Goldstone bosons, remain to be synchronized in all regimes characterized by a modified CPT symmetry. In the domain of parameter space where the \"would be Goldstone bosons\" can be identified the gauge vector bosons become massive and the Goldstone bosons c","authors_text":"Andreas Fring, Takanobu Taira","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2020-04-01T22:28:08Z","title":"Massive gauge particles versus Goldstone bosons in non-Hermitian non-Abelian gauge theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.00723","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:f6763419ba909eacd260ba6b236d677eb9142966bd8067f59691516ede252cdb","target":"record","created_at":"2026-07-05T04:48:05Z","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":"259423e9d441da08125825bb0bae0138bf1afa3bd50be978ce5bf1901d661438","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2020-04-01T22:28:08Z","title_canon_sha256":"868b6fd910fb896025def4a900f9dc7da752cde6d577ce66f0f0dfca73edf9cf"},"schema_version":"1.0","source":{"id":"2004.00723","kind":"arxiv","version":2}},"canonical_sha256":"ffba4978873eec75930009ab6f7c6694bde61d0dadae45ac6bf2dca7cf8ab373","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ffba4978873eec75930009ab6f7c6694bde61d0dadae45ac6bf2dca7cf8ab373","first_computed_at":"2026-07-05T04:48:05.609035Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:48:05.609035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XvnStjQMUzsgZbYyHH7wD9AuShzZogyjwgfZGJAkh0CRm81sMfiOzNeXysf1Zcj5wU7TjJeu8ry1D5OWfR9uCg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:48:05.609455Z","signed_message":"canonical_sha256_bytes"},"source_id":"2004.00723","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f6763419ba909eacd260ba6b236d677eb9142966bd8067f59691516ede252cdb","sha256:f35296d934a384c134f5a8c0468e9a20906f8f4bdf7c6bc07789ba7e1e88b550"],"state_sha256":"b09c116ae88c88febef35ec3041965d9a15a9b00af04c1d26bcef1c02520c974"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0yMoRfh0UYfyyHZaZrfy830BJx/INPAENWk+w3K5fuQplOLZWkFKH2ZgB45n/iFse0CXwggEgc/BH9QJhk4YCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T04:23:06.626659Z","bundle_sha256":"8b280af1244716ca448bde83884d500433e2af825c2ca87010d2bb86bc4798c4"}}