{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:CAM3BFD2AJNBEPXJNXDGZNXL57","short_pith_number":"pith:CAM3BFD2","schema_version":"1.0","canonical_sha256":"1019b0947a025a123ee96dc66cb6ebefd7f42a78bb53cff623c4df141ae94c30","source":{"kind":"arxiv","id":"1809.05102","version":2},"attestation_state":"computed","paper":{"title":"Resolving the Weinberg Paradox with Topology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Christopher B. Verhaaren, John Terning","submitted_at":"2018-09-13T18:00:03Z","abstract_excerpt":"Long ago Weinberg showed, from first principles, that the amplitude for a single photon exchange between an electric current and a magnetic current violates Lorentz invariance. The obvious conclusion at the time was that monopoles were not allowed in quantum field theory. Since the discovery of topological monopoles there has thus been a paradox. On the one hand, topological monopoles are constructed in Lorentz invariant quantum field theories, while on the other hand, the low-energy effective theory for such monopoles will reproduce Weinberg's result. We examine a toy model where both electri"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1809.05102","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-09-13T18:00:03Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"349f9731069d56a6d78e8bfd191b8c3043ad54dade76bdb4758068ce1c7e8afb","abstract_canon_sha256":"e2510aa5408135d326b39480c434379a2edcb6f3f15018f9e1fbb5120ef6e439"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:33.380274Z","signature_b64":"mhY6q8PJrf2+1w8MBLgQiatE9mRIm0YPN2pvhvIHIuYZYLXdXyDgQDRxb9vh8E8YfO14ttVzDsSBWUJPZuSZCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1019b0947a025a123ee96dc66cb6ebefd7f42a78bb53cff623c4df141ae94c30","last_reissued_at":"2026-05-17T23:49:33.379758Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:33.379758Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Resolving the Weinberg Paradox with Topology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Christopher B. Verhaaren, John Terning","submitted_at":"2018-09-13T18:00:03Z","abstract_excerpt":"Long ago Weinberg showed, from first principles, that the amplitude for a single photon exchange between an electric current and a magnetic current violates Lorentz invariance. The obvious conclusion at the time was that monopoles were not allowed in quantum field theory. Since the discovery of topological monopoles there has thus been a paradox. On the one hand, topological monopoles are constructed in Lorentz invariant quantum field theories, while on the other hand, the low-energy effective theory for such monopoles will reproduce Weinberg's result. We examine a toy model where both electri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.05102","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":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1809.05102","created_at":"2026-05-17T23:49:33.379847+00:00"},{"alias_kind":"arxiv_version","alias_value":"1809.05102v2","created_at":"2026-05-17T23:49:33.379847+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.05102","created_at":"2026-05-17T23:49:33.379847+00:00"},{"alias_kind":"pith_short_12","alias_value":"CAM3BFD2AJNB","created_at":"2026-05-18T12:32:16.446611+00:00"},{"alias_kind":"pith_short_16","alias_value":"CAM3BFD2AJNBEPXJ","created_at":"2026-05-18T12:32:16.446611+00:00"},{"alias_kind":"pith_short_8","alias_value":"CAM3BFD2","created_at":"2026-05-18T12:32:16.446611+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2504.16673","citing_title":"Monopoles, Clarified","ref_index":57,"is_internal_anchor":true},{"citing_arxiv_id":"2605.02869","citing_title":"Magnetic Monopoles -- From Dirac to the Large Hadron Collider","ref_index":197,"is_internal_anchor":false},{"citing_arxiv_id":"2604.19873","citing_title":"Self-Interaction and Galactic Magnetic Field Bounds on Millicharged Magnetic Monopole Dark Matter","ref_index":8,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CAM3BFD2AJNBEPXJNXDGZNXL57","json":"https://pith.science/pith/CAM3BFD2AJNBEPXJNXDGZNXL57.json","graph_json":"https://pith.science/api/pith-number/CAM3BFD2AJNBEPXJNXDGZNXL57/graph.json","events_json":"https://pith.science/api/pith-number/CAM3BFD2AJNBEPXJNXDGZNXL57/events.json","paper":"https://pith.science/paper/CAM3BFD2"},"agent_actions":{"view_html":"https://pith.science/pith/CAM3BFD2AJNBEPXJNXDGZNXL57","download_json":"https://pith.science/pith/CAM3BFD2AJNBEPXJNXDGZNXL57.json","view_paper":"https://pith.science/paper/CAM3BFD2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1809.05102&json=true","fetch_graph":"https://pith.science/api/pith-number/CAM3BFD2AJNBEPXJNXDGZNXL57/graph.json","fetch_events":"https://pith.science/api/pith-number/CAM3BFD2AJNBEPXJNXDGZNXL57/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CAM3BFD2AJNBEPXJNXDGZNXL57/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CAM3BFD2AJNBEPXJNXDGZNXL57/action/storage_attestation","attest_author":"https://pith.science/pith/CAM3BFD2AJNBEPXJNXDGZNXL57/action/author_attestation","sign_citation":"https://pith.science/pith/CAM3BFD2AJNBEPXJNXDGZNXL57/action/citation_signature","submit_replication":"https://pith.science/pith/CAM3BFD2AJNBEPXJNXDGZNXL57/action/replication_record"}},"created_at":"2026-05-17T23:49:33.379847+00:00","updated_at":"2026-05-17T23:49:33.379847+00:00"}