{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:3M4IO7ML7437WXPHXGMHJ7S6FX","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":"468dca922d800c5c82d5d52162a3728e5dce61fc8cbbdea7ed16f617d3259b58","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-10-11T12:23:59Z","title_canon_sha256":"fcfddd27dba1882a960c5d44a271d86aa2fc81de442203d45f37de2efb8e070c"},"schema_version":"1.0","source":{"id":"1610.03302","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.03302","created_at":"2026-05-18T00:49:14Z"},{"alias_kind":"arxiv_version","alias_value":"1610.03302v1","created_at":"2026-05-18T00:49:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.03302","created_at":"2026-05-18T00:49:14Z"},{"alias_kind":"pith_short_12","alias_value":"3M4IO7ML7437","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"3M4IO7ML7437WXPH","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"3M4IO7ML","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:683b40221cac5973da16964dd83a684c9e4429781b678b1a972398253a394bfb","target":"graph","created_at":"2026-05-18T00:49:14Z","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":"Conditions for the appearance of topological charges are studied in the framework of the universal C*-algebra of the electromagnetic field, which is represented in any theory describing electromagnetism. It is shown that non-trivial topological charges, described by pairs of fields localised in certain topologically non-trivial spacelike separated regions, can appear in regular representations of the algebra only if the fields depend non-linearly on the mollifying test functions. On the other hand, examples of regular vacuum representations with non-trivial topological charges are constructed,","authors_text":"Detlev Buchholz, Ezio Vasselli, Fabio Ciolli, Giuseppe Ruzzi","cross_cats":["math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-10-11T12:23:59Z","title":"The universal C*-algebra of the electromagnetic field II. Topological charges and spacelike linear fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.03302","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":"sha256:5de5916d587ef5c19fed54cff6d4919886f5c9a8d8e0dcf431d6a5fc3901ceb5","target":"record","created_at":"2026-05-18T00:49:14Z","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":"468dca922d800c5c82d5d52162a3728e5dce61fc8cbbdea7ed16f617d3259b58","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-10-11T12:23:59Z","title_canon_sha256":"fcfddd27dba1882a960c5d44a271d86aa2fc81de442203d45f37de2efb8e070c"},"schema_version":"1.0","source":{"id":"1610.03302","kind":"arxiv","version":1}},"canonical_sha256":"db38877d8bff37fb5de7b99874fe5e2ddc242126eb06965ed79e622371774954","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"db38877d8bff37fb5de7b99874fe5e2ddc242126eb06965ed79e622371774954","first_computed_at":"2026-05-18T00:49:14.976298Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:14.976298Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uxJV5Ej5FU8QsimilmU3aBNTRS2pVstwQ6JSmF/b/Zb8P3SmmRVc1HzvKGo5FO2w2NAJaGeJxsuLTChmYotwAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:14.977012Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.03302","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5de5916d587ef5c19fed54cff6d4919886f5c9a8d8e0dcf431d6a5fc3901ceb5","sha256:683b40221cac5973da16964dd83a684c9e4429781b678b1a972398253a394bfb"],"state_sha256":"45e4ab9c6f9f2cab208550b4f4bbed6fa1961dc6333a633a092252ec61abf868"}