{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:X7E3RAUJRHFRWBODY77O5JX7X5","short_pith_number":"pith:X7E3RAUJ","canonical_record":{"source":{"id":"1808.00944","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-08-02T17:50:59Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"3403670087b0902c955e63202f211a0e389b14f27af443b6d45f37cd3e5187e4","abstract_canon_sha256":"2620ed076b0f9fb826070a6f3e6c5340f5bcd1c90feb02936fcf086bf1635c03"},"schema_version":"1.0"},"canonical_sha256":"bfc9b8828989cb1b05c3c7feeea6ffbf65dddec1b454956551f91dc34eecd28e","source":{"kind":"arxiv","id":"1808.00944","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.00944","created_at":"2026-05-17T23:47:52Z"},{"alias_kind":"arxiv_version","alias_value":"1808.00944v3","created_at":"2026-05-17T23:47:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.00944","created_at":"2026-05-17T23:47:52Z"},{"alias_kind":"pith_short_12","alias_value":"X7E3RAUJRHFR","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"X7E3RAUJRHFRWBOD","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"X7E3RAUJ","created_at":"2026-05-18T12:33:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:X7E3RAUJRHFRWBODY77O5JX7X5","target":"record","payload":{"canonical_record":{"source":{"id":"1808.00944","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-08-02T17:50:59Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"3403670087b0902c955e63202f211a0e389b14f27af443b6d45f37cd3e5187e4","abstract_canon_sha256":"2620ed076b0f9fb826070a6f3e6c5340f5bcd1c90feb02936fcf086bf1635c03"},"schema_version":"1.0"},"canonical_sha256":"bfc9b8828989cb1b05c3c7feeea6ffbf65dddec1b454956551f91dc34eecd28e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:52.753663Z","signature_b64":"gbt/OfQPkPy3BBT56wG9WwJz6QYB/Bzs8DSXWcmthNVwSAMaGlD8FaZwEpTpCZpZluVr+xxQmNk2C5/4BCKgDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bfc9b8828989cb1b05c3c7feeea6ffbf65dddec1b454956551f91dc34eecd28e","last_reissued_at":"2026-05-17T23:47:52.753036Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:52.753036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.00944","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":"2026-05-17T23:47:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5sq7nEZ2TlKk6fLzIwjxl7wmVK+r1K+HP6kaAJzVeEprOB8pZeeu2zkgME2FMd1VteAoUBw7gPzNaauZL7FRBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T03:43:39.926407Z"},"content_sha256":"9208cbe7fc2927b7a5a7a16d5f347d6c6885a8ebce9b3db0dfc2e96aa40f3c53","schema_version":"1.0","event_id":"sha256:9208cbe7fc2927b7a5a7a16d5f347d6c6885a8ebce9b3db0dfc2e96aa40f3c53"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:X7E3RAUJRHFRWBODY77O5JX7X5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gauge invariance and the Englert-Brout-Higgs mechanism in non-Hermitian field theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Dries Seynaeve, Jean Alexandre, John Ellis, Peter Millington","submitted_at":"2018-08-02T17:50:59Z","abstract_excerpt":"We discuss $\\mathcal{PT}$-symmetric Abelian gauge field theories, as well as their extension to the Englert-Brout-Higgs mechanism for generating a mass for a vector boson. Gauge invariance is not straightforward, and we discuss the different related problems, as well as a solution which consists in coupling the gauge field to a current that is not conserved. Non-Hermiticity then necessarily precludes the Lorenz gauge condition but nevertheless allows for a consistent formulation of the theory. We therefore generalise the Englert-Brout-Higgs mechanism to $\\mathcal{PT}$-symmetric field theories,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.00944","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":""},"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":"2026-05-17T23:47:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YGer45AdVvSKscdk2rlMbmIzn6mAO2LGIRAhku9QzpoZOsTsPtO74ciW4Rpkyp7t1WE1UrynEnmtC2GcyhSjCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T03:43:39.926757Z"},"content_sha256":"82308326f3e45fb985ddaaaeca7f4f13f1704cf45b3f7a5db5eb01ff76735d3c","schema_version":"1.0","event_id":"sha256:82308326f3e45fb985ddaaaeca7f4f13f1704cf45b3f7a5db5eb01ff76735d3c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X7E3RAUJRHFRWBODY77O5JX7X5/bundle.json","state_url":"https://pith.science/pith/X7E3RAUJRHFRWBODY77O5JX7X5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X7E3RAUJRHFRWBODY77O5JX7X5/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":"2026-06-03T03:43:39Z","links":{"resolver":"https://pith.science/pith/X7E3RAUJRHFRWBODY77O5JX7X5","bundle":"https://pith.science/pith/X7E3RAUJRHFRWBODY77O5JX7X5/bundle.json","state":"https://pith.science/pith/X7E3RAUJRHFRWBODY77O5JX7X5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X7E3RAUJRHFRWBODY77O5JX7X5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:X7E3RAUJRHFRWBODY77O5JX7X5","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":"2620ed076b0f9fb826070a6f3e6c5340f5bcd1c90feb02936fcf086bf1635c03","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-08-02T17:50:59Z","title_canon_sha256":"3403670087b0902c955e63202f211a0e389b14f27af443b6d45f37cd3e5187e4"},"schema_version":"1.0","source":{"id":"1808.00944","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.00944","created_at":"2026-05-17T23:47:52Z"},{"alias_kind":"arxiv_version","alias_value":"1808.00944v3","created_at":"2026-05-17T23:47:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.00944","created_at":"2026-05-17T23:47:52Z"},{"alias_kind":"pith_short_12","alias_value":"X7E3RAUJRHFR","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"X7E3RAUJRHFRWBOD","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"X7E3RAUJ","created_at":"2026-05-18T12:33:01Z"}],"graph_snapshots":[{"event_id":"sha256:82308326f3e45fb985ddaaaeca7f4f13f1704cf45b3f7a5db5eb01ff76735d3c","target":"graph","created_at":"2026-05-17T23:47:52Z","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":"We discuss $\\mathcal{PT}$-symmetric Abelian gauge field theories, as well as their extension to the Englert-Brout-Higgs mechanism for generating a mass for a vector boson. Gauge invariance is not straightforward, and we discuss the different related problems, as well as a solution which consists in coupling the gauge field to a current that is not conserved. Non-Hermiticity then necessarily precludes the Lorenz gauge condition but nevertheless allows for a consistent formulation of the theory. We therefore generalise the Englert-Brout-Higgs mechanism to $\\mathcal{PT}$-symmetric field theories,","authors_text":"Dries Seynaeve, Jean Alexandre, John Ellis, Peter Millington","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-08-02T17:50:59Z","title":"Gauge invariance and the Englert-Brout-Higgs mechanism in non-Hermitian field theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.00944","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":"sha256:9208cbe7fc2927b7a5a7a16d5f347d6c6885a8ebce9b3db0dfc2e96aa40f3c53","target":"record","created_at":"2026-05-17T23:47:52Z","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":"2620ed076b0f9fb826070a6f3e6c5340f5bcd1c90feb02936fcf086bf1635c03","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-08-02T17:50:59Z","title_canon_sha256":"3403670087b0902c955e63202f211a0e389b14f27af443b6d45f37cd3e5187e4"},"schema_version":"1.0","source":{"id":"1808.00944","kind":"arxiv","version":3}},"canonical_sha256":"bfc9b8828989cb1b05c3c7feeea6ffbf65dddec1b454956551f91dc34eecd28e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bfc9b8828989cb1b05c3c7feeea6ffbf65dddec1b454956551f91dc34eecd28e","first_computed_at":"2026-05-17T23:47:52.753036Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:52.753036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gbt/OfQPkPy3BBT56wG9WwJz6QYB/Bzs8DSXWcmthNVwSAMaGlD8FaZwEpTpCZpZluVr+xxQmNk2C5/4BCKgDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:52.753663Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.00944","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9208cbe7fc2927b7a5a7a16d5f347d6c6885a8ebce9b3db0dfc2e96aa40f3c53","sha256:82308326f3e45fb985ddaaaeca7f4f13f1704cf45b3f7a5db5eb01ff76735d3c"],"state_sha256":"33ff63d5f220e1f6092de958eebf2f4d95b2bf72cb231a2375b7742fb342ca78"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DBYTZSqfkEKUc5KsgrRboDg6scL0+6bxf/tpMKTN7FfRQDgT25GTv+BdX5Mdq22if9gs8iTg8CPJ9nFOANbEDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T03:43:39.928751Z","bundle_sha256":"12640b9ffd0e00a4e6ad5a2041f435c255acbdad78aef2def40590197ce5caab"}}