{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:SUN5DJ7F6L4RILUZHZU45M7Q5S","short_pith_number":"pith:SUN5DJ7F","canonical_record":{"source":{"id":"1111.1671","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2011-11-07T18:35:11Z","cross_cats_sorted":["hep-th","math.MP","math.OA"],"title_canon_sha256":"e4dcdbc98e0d37f6ae16dc03540b7337f426bac238772483c86d3d4ab42800a3","abstract_canon_sha256":"8f09ef757c2ef3a040e6a27f5e7d2885f42dd3fbe5f6ff10fb0c006791deb82a"},"schema_version":"1.0"},"canonical_sha256":"951bd1a7e5f2f9142e993e69ceb3f0eca57cc82081e0a6d1d2c2c1b1c2d296c0","source":{"kind":"arxiv","id":"1111.1671","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.1671","created_at":"2026-05-18T00:34:32Z"},{"alias_kind":"arxiv_version","alias_value":"1111.1671v3","created_at":"2026-05-18T00:34:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.1671","created_at":"2026-05-18T00:34:32Z"},{"alias_kind":"pith_short_12","alias_value":"SUN5DJ7F6L4R","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"SUN5DJ7F6L4RILUZ","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"SUN5DJ7F","created_at":"2026-05-18T12:26:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:SUN5DJ7F6L4RILUZHZU45M7Q5S","target":"record","payload":{"canonical_record":{"source":{"id":"1111.1671","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2011-11-07T18:35:11Z","cross_cats_sorted":["hep-th","math.MP","math.OA"],"title_canon_sha256":"e4dcdbc98e0d37f6ae16dc03540b7337f426bac238772483c86d3d4ab42800a3","abstract_canon_sha256":"8f09ef757c2ef3a040e6a27f5e7d2885f42dd3fbe5f6ff10fb0c006791deb82a"},"schema_version":"1.0"},"canonical_sha256":"951bd1a7e5f2f9142e993e69ceb3f0eca57cc82081e0a6d1d2c2c1b1c2d296c0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:32.153907Z","signature_b64":"G0je9VGQJTqCKdQIoPuM+3LV53OZs1SPZA9Ns/ZomFla2FtTXMtM3Dwmr8qgICJATzz0BQ3XAwI7wEHSaay6Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"951bd1a7e5f2f9142e993e69ceb3f0eca57cc82081e0a6d1d2c2c1b1c2d296c0","last_reissued_at":"2026-05-18T00:34:32.153510Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:32.153510Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.1671","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:34:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nGLugEgDfjJoFimrleyw2xLS71hVu/yOYQ5Yb7EBux6miQDOF5UbujmjXBoRi4qnLyzzdQIQ7cUbOIo0b2udCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T11:38:14.474966Z"},"content_sha256":"941920244d82c0dce31bc80e7c220a8492ed0ebbf78f3cf1387ec43b79855a43","schema_version":"1.0","event_id":"sha256:941920244d82c0dce31bc80e7c220a8492ed0ebbf78f3cf1387ec43b79855a43"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:SUN5DJ7F6L4RILUZHZU45M7Q5S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Construction of wedge-local nets of observables through Longo-Witten endomorphisms. II","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th","math.MP","math.OA"],"primary_cat":"math-ph","authors_text":"Marcel Bischoff, Yoh Tanimoto","submitted_at":"2011-11-07T18:35:11Z","abstract_excerpt":"In the first part, we have constructed several families of interacting wedge-local nets of von Neumann algebras. In particular, there has been discovered a family of models based on the endomorphisms of the U(1)-current algebra of Longo-Witten.\n  In this second part, we further investigate endomorphisms and interacting models. The key ingredient is the free massless fermionic net, which contains the U(1)-current net as the fixed point subnet with respect to the U(1) gauge action. Through the restriction to the subnet, we construct a new family of Longo-Witten endomorphisms on the U(1)-current "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.1671","kind":"arxiv","version":3},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:34:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xDLDLMmFSchjIoxtcOshL20427G4VDS6gwRxAM+/P9/frDZZQ4j184A9BaANqPzk8PHlBsmnMhk9/YreRwBHCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T11:38:14.475492Z"},"content_sha256":"b45ee302b1c54bf7afe1a121bc21b42eb042e7eb7fdbc39b1b6e8b238cb0dac6","schema_version":"1.0","event_id":"sha256:b45ee302b1c54bf7afe1a121bc21b42eb042e7eb7fdbc39b1b6e8b238cb0dac6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SUN5DJ7F6L4RILUZHZU45M7Q5S/bundle.json","state_url":"https://pith.science/pith/SUN5DJ7F6L4RILUZHZU45M7Q5S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SUN5DJ7F6L4RILUZHZU45M7Q5S/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-28T11:38:14Z","links":{"resolver":"https://pith.science/pith/SUN5DJ7F6L4RILUZHZU45M7Q5S","bundle":"https://pith.science/pith/SUN5DJ7F6L4RILUZHZU45M7Q5S/bundle.json","state":"https://pith.science/pith/SUN5DJ7F6L4RILUZHZU45M7Q5S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SUN5DJ7F6L4RILUZHZU45M7Q5S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:SUN5DJ7F6L4RILUZHZU45M7Q5S","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":"8f09ef757c2ef3a040e6a27f5e7d2885f42dd3fbe5f6ff10fb0c006791deb82a","cross_cats_sorted":["hep-th","math.MP","math.OA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2011-11-07T18:35:11Z","title_canon_sha256":"e4dcdbc98e0d37f6ae16dc03540b7337f426bac238772483c86d3d4ab42800a3"},"schema_version":"1.0","source":{"id":"1111.1671","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.1671","created_at":"2026-05-18T00:34:32Z"},{"alias_kind":"arxiv_version","alias_value":"1111.1671v3","created_at":"2026-05-18T00:34:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.1671","created_at":"2026-05-18T00:34:32Z"},{"alias_kind":"pith_short_12","alias_value":"SUN5DJ7F6L4R","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"SUN5DJ7F6L4RILUZ","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"SUN5DJ7F","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:b45ee302b1c54bf7afe1a121bc21b42eb042e7eb7fdbc39b1b6e8b238cb0dac6","target":"graph","created_at":"2026-05-18T00:34:32Z","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":"In the first part, we have constructed several families of interacting wedge-local nets of von Neumann algebras. In particular, there has been discovered a family of models based on the endomorphisms of the U(1)-current algebra of Longo-Witten.\n  In this second part, we further investigate endomorphisms and interacting models. The key ingredient is the free massless fermionic net, which contains the U(1)-current net as the fixed point subnet with respect to the U(1) gauge action. Through the restriction to the subnet, we construct a new family of Longo-Witten endomorphisms on the U(1)-current ","authors_text":"Marcel Bischoff, Yoh Tanimoto","cross_cats":["hep-th","math.MP","math.OA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2011-11-07T18:35:11Z","title":"Construction of wedge-local nets of observables through Longo-Witten endomorphisms. II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.1671","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":"sha256:941920244d82c0dce31bc80e7c220a8492ed0ebbf78f3cf1387ec43b79855a43","target":"record","created_at":"2026-05-18T00:34:32Z","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":"8f09ef757c2ef3a040e6a27f5e7d2885f42dd3fbe5f6ff10fb0c006791deb82a","cross_cats_sorted":["hep-th","math.MP","math.OA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2011-11-07T18:35:11Z","title_canon_sha256":"e4dcdbc98e0d37f6ae16dc03540b7337f426bac238772483c86d3d4ab42800a3"},"schema_version":"1.0","source":{"id":"1111.1671","kind":"arxiv","version":3}},"canonical_sha256":"951bd1a7e5f2f9142e993e69ceb3f0eca57cc82081e0a6d1d2c2c1b1c2d296c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"951bd1a7e5f2f9142e993e69ceb3f0eca57cc82081e0a6d1d2c2c1b1c2d296c0","first_computed_at":"2026-05-18T00:34:32.153510Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:32.153510Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G0je9VGQJTqCKdQIoPuM+3LV53OZs1SPZA9Ns/ZomFla2FtTXMtM3Dwmr8qgICJATzz0BQ3XAwI7wEHSaay6Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:32.153907Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.1671","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:941920244d82c0dce31bc80e7c220a8492ed0ebbf78f3cf1387ec43b79855a43","sha256:b45ee302b1c54bf7afe1a121bc21b42eb042e7eb7fdbc39b1b6e8b238cb0dac6"],"state_sha256":"385d264c516dc41d7a2b1dadcd181396f97c4e6f3e952abe5c0a97cbbdc933cf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oL/J+OlGXBYAu058bWWwY0DVLPfGdiFc2092JFlNIEQDtOkENERQSnV29U3qtclKzOe3H3LlUnkPnLCzVsufCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T11:38:14.478106Z","bundle_sha256":"c89164ee6fcc06ace27f2a9a4dddbb85e26095b8e66b339c276dc1d38c499867"}}