{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:CMVKHGBYEGF2QOV5MQ6IENGAU4","short_pith_number":"pith:CMVKHGBY","canonical_record":{"source":{"id":"2606.19465","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-06-17T18:02:38Z","cross_cats_sorted":["cond-mat.str-el","hep-th"],"title_canon_sha256":"e3b33f31ce12f6d11196aabe3207d9f1ad316716949d89cc2fb7c1bbeb8fc201","abstract_canon_sha256":"c2da042aef5e8c995632534781b5aba00ef86b1a3488482943138b2886fa5356"},"schema_version":"1.0"},"canonical_sha256":"132aa39838218ba83abd643c8234c0a70bf687268beb34be5380592aca20b9ee","source":{"kind":"arxiv","id":"2606.19465","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.19465","created_at":"2026-06-19T16:12:26Z"},{"alias_kind":"arxiv_version","alias_value":"2606.19465v1","created_at":"2026-06-19T16:12:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.19465","created_at":"2026-06-19T16:12:26Z"},{"alias_kind":"pith_short_12","alias_value":"CMVKHGBYEGF2","created_at":"2026-06-19T16:12:26Z"},{"alias_kind":"pith_short_16","alias_value":"CMVKHGBYEGF2QOV5","created_at":"2026-06-19T16:12:26Z"},{"alias_kind":"pith_short_8","alias_value":"CMVKHGBY","created_at":"2026-06-19T16:12:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:CMVKHGBYEGF2QOV5MQ6IENGAU4","target":"record","payload":{"canonical_record":{"source":{"id":"2606.19465","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-06-17T18:02:38Z","cross_cats_sorted":["cond-mat.str-el","hep-th"],"title_canon_sha256":"e3b33f31ce12f6d11196aabe3207d9f1ad316716949d89cc2fb7c1bbeb8fc201","abstract_canon_sha256":"c2da042aef5e8c995632534781b5aba00ef86b1a3488482943138b2886fa5356"},"schema_version":"1.0"},"canonical_sha256":"132aa39838218ba83abd643c8234c0a70bf687268beb34be5380592aca20b9ee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:12:26.511296Z","signature_b64":"dEqiiguYB8toDNxWyvfQnWtkQ+2533qm6dOE0Q7XBJ4IbAPhg5Xh9mOhrHQoHdmL6cTNUs45B528AjYptBZJCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"132aa39838218ba83abd643c8234c0a70bf687268beb34be5380592aca20b9ee","last_reissued_at":"2026-06-19T16:12:26.510898Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:12:26.510898Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.19465","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-19T16:12:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2E84+4v2xBJES6B6D57BvHSAqCy8xIoLk3lFHYxgcqJ7/chGp5yxMI8bXulNri0Guh5ueitrz6Vp1ClVsbdQCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T02:25:03.409524Z"},"content_sha256":"1d40b235407294cccc7212628f1b27d1e841a811ad4fab5941f3b4d4da0feea5","schema_version":"1.0","event_id":"sha256:1d40b235407294cccc7212628f1b27d1e841a811ad4fab5941f3b4d4da0feea5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:CMVKHGBYEGF2QOV5MQ6IENGAU4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact operator dynamics in Lindbladian Wess-Zumino-Witten conformal field theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","hep-th"],"primary_cat":"cond-mat.stat-mech","authors_text":"Qicheng Tang, Ruhanshi Barad, Xueda Wen","submitted_at":"2026-06-17T18:02:38Z","abstract_excerpt":"Understanding the time evolution of physical observables in open quantum many-body systems coupled to external environments is a natural and difficult problem, and exact results are still rare. In this work, we study this problem for Wess-Zumino-Witten (WZW) conformal field theories with Lindblad jump operators linear in Kac-Moody current modes. We investigate the exact operator dynamics generated by these Lindbladians, identifying classes of current operators whose Heisenberg equations close and can therefore be solved analytically using the underlying current algebra. In Abelian $U(1)_k$ WZW"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.19465","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.19465/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-06-19T16:12:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yuTYhAdDqsWfX4mW2JsjqVLnNxA2yeyDxTEbIlns4v6WysJlSgpthspKMVHrr6CK4N9fGPKBj5usrvgn06vZCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T02:25:03.409887Z"},"content_sha256":"8124bc978890515f24c85cf3d3034a07707c9933da450f5c9df9fcdc339f51af","schema_version":"1.0","event_id":"sha256:8124bc978890515f24c85cf3d3034a07707c9933da450f5c9df9fcdc339f51af"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CMVKHGBYEGF2QOV5MQ6IENGAU4/bundle.json","state_url":"https://pith.science/pith/CMVKHGBYEGF2QOV5MQ6IENGAU4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CMVKHGBYEGF2QOV5MQ6IENGAU4/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":"2026-06-27T02:25:03Z","links":{"resolver":"https://pith.science/pith/CMVKHGBYEGF2QOV5MQ6IENGAU4","bundle":"https://pith.science/pith/CMVKHGBYEGF2QOV5MQ6IENGAU4/bundle.json","state":"https://pith.science/pith/CMVKHGBYEGF2QOV5MQ6IENGAU4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CMVKHGBYEGF2QOV5MQ6IENGAU4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:CMVKHGBYEGF2QOV5MQ6IENGAU4","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":"c2da042aef5e8c995632534781b5aba00ef86b1a3488482943138b2886fa5356","cross_cats_sorted":["cond-mat.str-el","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-06-17T18:02:38Z","title_canon_sha256":"e3b33f31ce12f6d11196aabe3207d9f1ad316716949d89cc2fb7c1bbeb8fc201"},"schema_version":"1.0","source":{"id":"2606.19465","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.19465","created_at":"2026-06-19T16:12:26Z"},{"alias_kind":"arxiv_version","alias_value":"2606.19465v1","created_at":"2026-06-19T16:12:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.19465","created_at":"2026-06-19T16:12:26Z"},{"alias_kind":"pith_short_12","alias_value":"CMVKHGBYEGF2","created_at":"2026-06-19T16:12:26Z"},{"alias_kind":"pith_short_16","alias_value":"CMVKHGBYEGF2QOV5","created_at":"2026-06-19T16:12:26Z"},{"alias_kind":"pith_short_8","alias_value":"CMVKHGBY","created_at":"2026-06-19T16:12:26Z"}],"graph_snapshots":[{"event_id":"sha256:8124bc978890515f24c85cf3d3034a07707c9933da450f5c9df9fcdc339f51af","target":"graph","created_at":"2026-06-19T16:12:26Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.19465/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Understanding the time evolution of physical observables in open quantum many-body systems coupled to external environments is a natural and difficult problem, and exact results are still rare. In this work, we study this problem for Wess-Zumino-Witten (WZW) conformal field theories with Lindblad jump operators linear in Kac-Moody current modes. We investigate the exact operator dynamics generated by these Lindbladians, identifying classes of current operators whose Heisenberg equations close and can therefore be solved analytically using the underlying current algebra. In Abelian $U(1)_k$ WZW","authors_text":"Qicheng Tang, Ruhanshi Barad, Xueda Wen","cross_cats":["cond-mat.str-el","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-06-17T18:02:38Z","title":"Exact operator dynamics in Lindbladian Wess-Zumino-Witten conformal field theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.19465","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":"sha256:1d40b235407294cccc7212628f1b27d1e841a811ad4fab5941f3b4d4da0feea5","target":"record","created_at":"2026-06-19T16:12:26Z","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":"c2da042aef5e8c995632534781b5aba00ef86b1a3488482943138b2886fa5356","cross_cats_sorted":["cond-mat.str-el","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-06-17T18:02:38Z","title_canon_sha256":"e3b33f31ce12f6d11196aabe3207d9f1ad316716949d89cc2fb7c1bbeb8fc201"},"schema_version":"1.0","source":{"id":"2606.19465","kind":"arxiv","version":1}},"canonical_sha256":"132aa39838218ba83abd643c8234c0a70bf687268beb34be5380592aca20b9ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"132aa39838218ba83abd643c8234c0a70bf687268beb34be5380592aca20b9ee","first_computed_at":"2026-06-19T16:12:26.510898Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:12:26.510898Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dEqiiguYB8toDNxWyvfQnWtkQ+2533qm6dOE0Q7XBJ4IbAPhg5Xh9mOhrHQoHdmL6cTNUs45B528AjYptBZJCg==","signature_status":"signed_v1","signed_at":"2026-06-19T16:12:26.511296Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.19465","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1d40b235407294cccc7212628f1b27d1e841a811ad4fab5941f3b4d4da0feea5","sha256:8124bc978890515f24c85cf3d3034a07707c9933da450f5c9df9fcdc339f51af"],"state_sha256":"4ff7d73d66d0dcca74646206777f3620c8fee98231a535c20c794d36c8da9a03"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kes/VIMCHwYoInf5oEnnUAG0CtzdGu6SotoXmk57BZARZA8PwjxzmWNRQr7t8dMEpqNLTBffLgVsaQ2MtjhmBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T02:25:03.411740Z","bundle_sha256":"569778dfcd73d90dbb815250e26c988d95ed2145f6dbec5774fefc71164636a7"}}