{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ZCPJ6MGIHZC6GFTPRWDC2DBYAG","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":"a2e678f92718034a9b9a5feaa597bac67c71f36f2b23b9793e80b9e60f21c8fa","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2015-12-28T18:53:37Z","title_canon_sha256":"707c3ca004586dd218a4d49adb3c8568af9237a69e85a18ac050ace88ec75348"},"schema_version":"1.0","source":{"id":"1601.04528","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.04528","created_at":"2026-05-18T00:53:02Z"},{"alias_kind":"arxiv_version","alias_value":"1601.04528v4","created_at":"2026-05-18T00:53:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.04528","created_at":"2026-05-18T00:53:02Z"},{"alias_kind":"pith_short_12","alias_value":"ZCPJ6MGIHZC6","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZCPJ6MGIHZC6GFTP","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZCPJ6MGI","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:81adeb0a347498f04dae7e343dad7b9435d93b6601b7e13c09c1335ec8dfbeb6","target":"graph","created_at":"2026-05-18T00:53:02Z","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":"The Hilbert space formulation of interacting $s=1$ vector-potentials stands in an interesting contrast with the point-local Krein space setting of gauge theory. Already in the absence of interactions the Wilson loop in a Hilbert space setting has a \"topological property\" which is missing in the gauge theoretic description (Haag duality, Aharonov-Bohm effect); the conceptual differences increase in the presence of interactions. The Hilbert space positivity weakens the causal localization properties if interacting fields which results in the replacement of the gauge-variant point-local matter fi","authors_text":"Bert Schroer","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2015-12-28T18:53:37Z","title":"Beyond gauge theory: Hilbert space positivity and causal localization in the presence of vector mesons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.04528","kind":"arxiv","version":4},"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:e194c7c9e80cb34f25b23491bf4a9a45d06e0d6e12d1a300adb18c7e6dd87401","target":"record","created_at":"2026-05-18T00:53:02Z","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":"a2e678f92718034a9b9a5feaa597bac67c71f36f2b23b9793e80b9e60f21c8fa","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2015-12-28T18:53:37Z","title_canon_sha256":"707c3ca004586dd218a4d49adb3c8568af9237a69e85a18ac050ace88ec75348"},"schema_version":"1.0","source":{"id":"1601.04528","kind":"arxiv","version":4}},"canonical_sha256":"c89e9f30c83e45e3166f8d862d0c3801b48d99d87b363e4fe3bc9bb14c0fac44","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c89e9f30c83e45e3166f8d862d0c3801b48d99d87b363e4fe3bc9bb14c0fac44","first_computed_at":"2026-05-18T00:53:02.732391Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:02.732391Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qDNLh6W5Fc4vryMRfxiApkOYLD76QwSUcnMx8OGI934/gbtVXGZ+Xncq4zVxEw2uO1/MQN2OusjX8d5Q3/0bCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:02.732878Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.04528","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e194c7c9e80cb34f25b23491bf4a9a45d06e0d6e12d1a300adb18c7e6dd87401","sha256:81adeb0a347498f04dae7e343dad7b9435d93b6601b7e13c09c1335ec8dfbeb6"],"state_sha256":"53af264c8d3e9677f3e438782d13c469e0433020527bdb8589d7cf8bd4c033c2"}