{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:R33QDROA2EYHW45G5EZW6CCA42","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":"72808c385b34eadcfa56a63f67df3fb9be73a6aa81481265393555c32bbb53cf","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-07-07T03:30:56Z","title_canon_sha256":"daac31fd7fa00560ae39fa83379f70795a7b87ea041c985f2bf497ba0d07fb6d"},"schema_version":"1.0","source":{"id":"2607.05788","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.05788","created_at":"2026-07-08T01:18:45Z"},{"alias_kind":"arxiv_version","alias_value":"2607.05788v1","created_at":"2026-07-08T01:18:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.05788","created_at":"2026-07-08T01:18:45Z"},{"alias_kind":"pith_short_12","alias_value":"R33QDROA2EYH","created_at":"2026-07-08T01:18:45Z"},{"alias_kind":"pith_short_16","alias_value":"R33QDROA2EYHW45G","created_at":"2026-07-08T01:18:45Z"},{"alias_kind":"pith_short_8","alias_value":"R33QDROA","created_at":"2026-07-08T01:18:45Z"}],"graph_snapshots":[{"event_id":"sha256:d0d55af9b726f3ba84cfbcb356ed5ec4c46806d4e97e266de444d90aad0649eb","target":"graph","created_at":"2026-07-08T01:18:45Z","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/2607.05788/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we investigate the emergence of dipole ghost structures in gauge theories at both the classical and quantum levels. Traditionally, dipole ghosts are introduced through an auxiliary field $\\chi$ satisfying $\\Box^2\\chi=0$, whose presence is reflected in the appearance of double poles in the propagator. We show that such dipole ghost sectors can instead be understood as a consequence of the multiplicity of solutions of the classical equations of motion. To establish this connection, we develop a constructive method and first apply it to covariant Maxwell theory in $(2+1)$ dimensions","authors_text":"Angel Sanchez, Carlos M. Reyes, C\\'esar Riquelme","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-07-07T03:30:56Z","title":"Dipole ghosts and spontaneous symmetry breaking in higher-order Chern-Simons theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.05788","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":"sha256:890dcf3a4802d9e4a63a3cd77bb68886ab2554aec0b7682f30d1d0839bd8c79c","target":"record","created_at":"2026-07-08T01:18:45Z","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":"72808c385b34eadcfa56a63f67df3fb9be73a6aa81481265393555c32bbb53cf","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-07-07T03:30:56Z","title_canon_sha256":"daac31fd7fa00560ae39fa83379f70795a7b87ea041c985f2bf497ba0d07fb6d"},"schema_version":"1.0","source":{"id":"2607.05788","kind":"arxiv","version":1}},"canonical_sha256":"8ef701c5c0d1307b73a6e9336f0840e6afa69ac7de7affe4f3fb968e865c5f40","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ef701c5c0d1307b73a6e9336f0840e6afa69ac7de7affe4f3fb968e865c5f40","first_computed_at":"2026-07-08T01:18:45.775574Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-08T01:18:45.775574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PDR7oX5MTLr5WRBslSm6+lGTk0ziX7vkvgdZigmG00bXLRnpqpQE8gVj3bbcXXoiD4Zg5qpO8tFGVHthBCTYAg==","signature_status":"signed_v1","signed_at":"2026-07-08T01:18:45.776442Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.05788","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:890dcf3a4802d9e4a63a3cd77bb68886ab2554aec0b7682f30d1d0839bd8c79c","sha256:d0d55af9b726f3ba84cfbcb356ed5ec4c46806d4e97e266de444d90aad0649eb"],"state_sha256":"da0bcec275b2f6959b78ebb706e1516d201d79454bd15800e4aa9460fa10bb3d"}