{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:DVGOHTGJEWLIFSE75V5IWNQ3QL","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":"b8e729e1e1036568bac2247249a26f7618b6be57dcb56e48bd4948ca72f408cc","cross_cats_sorted":["math.MP","math.OA","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-05-30T13:46:09Z","title_canon_sha256":"ad5e070213e14be1185361e8837479a2bfcaa234cb0817511a6e59e670a310f4"},"schema_version":"1.0","source":{"id":"1405.7863","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.7863","created_at":"2026-05-18T01:21:32Z"},{"alias_kind":"arxiv_version","alias_value":"1405.7863v3","created_at":"2026-05-18T01:21:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.7863","created_at":"2026-05-18T01:21:32Z"},{"alias_kind":"pith_short_12","alias_value":"DVGOHTGJEWLI","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"DVGOHTGJEWLIFSE7","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"DVGOHTGJ","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:3828f52c71256058876562a1b76fdaef0564fca8ac091df1f7a330afd011856d","target":"graph","created_at":"2026-05-18T01:21:32Z","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 study the structure of local algebras in relativistic conformal quantum field theory with phase boundaries. Phase boundaries are instances of a more general notion of boundaries that give rise to a variety of algebraic structures. These can be formulated in a common framework originating in Algebraic QFT, with the principle of Einstein Causality playing a prominent role.We classify the phase boundary conditions by the centre of a certain universal construction, which produces a reducible representation in which all possible boundary conditions are realized. For a large class of models, the ","authors_text":"Karl-Henning Rehren, Marcel Bischoff, Roberto Longo, Yasuyuki Kawahigashi","cross_cats":["math.MP","math.OA","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-05-30T13:46:09Z","title":"Phase boundaries in algebraic conformal QFT"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.7863","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:ce6307b4a2f70a7b8e54d4a2d52539e44b3236a303b0978dddbb59d0e6bc7987","target":"record","created_at":"2026-05-18T01:21:32Z","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":"b8e729e1e1036568bac2247249a26f7618b6be57dcb56e48bd4948ca72f408cc","cross_cats_sorted":["math.MP","math.OA","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-05-30T13:46:09Z","title_canon_sha256":"ad5e070213e14be1185361e8837479a2bfcaa234cb0817511a6e59e670a310f4"},"schema_version":"1.0","source":{"id":"1405.7863","kind":"arxiv","version":3}},"canonical_sha256":"1d4ce3ccc9259682c89fed7a8b361b82f3cf1767043abd2b00faf51b9a7ff913","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d4ce3ccc9259682c89fed7a8b361b82f3cf1767043abd2b00faf51b9a7ff913","first_computed_at":"2026-05-18T01:21:32.732830Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:32.732830Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vkYS/UNvAeF5QN0vCifySAi0ef5xW2Th+GKnkNt/psvfK0mTcpVOfOw91IqoW0CeY2oQHoejvnlKFpYiMrWsAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:32.733548Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.7863","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ce6307b4a2f70a7b8e54d4a2d52539e44b3236a303b0978dddbb59d0e6bc7987","sha256:3828f52c71256058876562a1b76fdaef0564fca8ac091df1f7a330afd011856d"],"state_sha256":"79a32982ff1246fc6483b811c2b799b6141d130ab31c91d758cbab27313acf42"}