{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:ARKAR7YRHMCDYZIBUSG2JKTZTK","short_pith_number":"pith:ARKAR7YR","canonical_record":{"source":{"id":"1306.0718","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-04T10:06:24Z","cross_cats_sorted":[],"title_canon_sha256":"2877c94c01367cc67f6dbb79360ff0b5812ef3924070c28f6a4aae9addec12bb","abstract_canon_sha256":"6f3933a4bbf3d6c639d9611178115cb747ff614f3f261c8290a4239873a2e130"},"schema_version":"1.0"},"canonical_sha256":"045408ff113b043c6501a48da4aa799ab3fdcb884b743f538775840aaf083c25","source":{"kind":"arxiv","id":"1306.0718","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.0718","created_at":"2026-05-18T01:49:33Z"},{"alias_kind":"arxiv_version","alias_value":"1306.0718v2","created_at":"2026-05-18T01:49:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.0718","created_at":"2026-05-18T01:49:33Z"},{"alias_kind":"pith_short_12","alias_value":"ARKAR7YRHMCD","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"ARKAR7YRHMCDYZIB","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"ARKAR7YR","created_at":"2026-05-18T12:27:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:ARKAR7YRHMCDYZIBUSG2JKTZTK","target":"record","payload":{"canonical_record":{"source":{"id":"1306.0718","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-04T10:06:24Z","cross_cats_sorted":[],"title_canon_sha256":"2877c94c01367cc67f6dbb79360ff0b5812ef3924070c28f6a4aae9addec12bb","abstract_canon_sha256":"6f3933a4bbf3d6c639d9611178115cb747ff614f3f261c8290a4239873a2e130"},"schema_version":"1.0"},"canonical_sha256":"045408ff113b043c6501a48da4aa799ab3fdcb884b743f538775840aaf083c25","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:49:33.112655Z","signature_b64":"hcAFqEY2EJZhvN0n3ayN6iGLLRMj3EJ1IZ7uJJ/c7GTpeIn1b1LwvYPkEMgZz95JxXfLQ0aO0tkpZDeB2x+vBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"045408ff113b043c6501a48da4aa799ab3fdcb884b743f538775840aaf083c25","last_reissued_at":"2026-05-18T01:49:33.112175Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:49:33.112175Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.0718","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:49:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O1WGUDLcR1xysASZkZDaYoLyHljJGW0+Whrfb92ZiGXK7j4UWKeCXITF0niSBOIYIN93NOaMC0jpQcVB5vEaAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T19:52:56.738366Z"},"content_sha256":"baa1ef6167ce7eb8ec97062106d9f22ab242b72e64e71a45db6deead7d2bbfaa","schema_version":"1.0","event_id":"sha256:baa1ef6167ce7eb8ec97062106d9f22ab242b72e64e71a45db6deead7d2bbfaa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:ARKAR7YRHMCDYZIBUSG2JKTZTK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Constrained WZWN Models on G/{S x U(1)^n} and Exchange Algebra of G-Primaries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Katsuyuki Ishii, Shogo Aoyama","submitted_at":"2013-06-04T10:06:24Z","abstract_excerpt":"Consistently constrained WZWN models on G/{S x U(1)^n} is given by constraining currents of the WZWN models with G. Poisson brackets are set up on the light-like plane. Using them we show the Virasoro algebra for the energy-momentum tensor of constrained WZWN models. We find a G-primary which satisfies a classical exchange algebra in an arbitrary representation of G. The G-primary and the constrained currents are also shown to obey the conformal transformation with respect to the energy-momentum tensor. It is checked that conformal weight of the constrained currents is 0. This is necessary for"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.0718","kind":"arxiv","version":2},"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":"2026-05-18T01:49:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tPFsPE9vcY1/zx3hmzfGQng7B/7b6B/1PVBmS3bJMLTjeK8fXxMSDuNHk1bEQ97hJGDNOV7deRFxdnH+F7/7BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T19:52:56.738714Z"},"content_sha256":"834b90b69673e085f1f1c1e655ac982db7294f32f76600fc88fbf3418457a149","schema_version":"1.0","event_id":"sha256:834b90b69673e085f1f1c1e655ac982db7294f32f76600fc88fbf3418457a149"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ARKAR7YRHMCDYZIBUSG2JKTZTK/bundle.json","state_url":"https://pith.science/pith/ARKAR7YRHMCDYZIBUSG2JKTZTK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ARKAR7YRHMCDYZIBUSG2JKTZTK/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":"2026-07-02T19:52:56Z","links":{"resolver":"https://pith.science/pith/ARKAR7YRHMCDYZIBUSG2JKTZTK","bundle":"https://pith.science/pith/ARKAR7YRHMCDYZIBUSG2JKTZTK/bundle.json","state":"https://pith.science/pith/ARKAR7YRHMCDYZIBUSG2JKTZTK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ARKAR7YRHMCDYZIBUSG2JKTZTK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ARKAR7YRHMCDYZIBUSG2JKTZTK","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":"6f3933a4bbf3d6c639d9611178115cb747ff614f3f261c8290a4239873a2e130","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-04T10:06:24Z","title_canon_sha256":"2877c94c01367cc67f6dbb79360ff0b5812ef3924070c28f6a4aae9addec12bb"},"schema_version":"1.0","source":{"id":"1306.0718","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.0718","created_at":"2026-05-18T01:49:33Z"},{"alias_kind":"arxiv_version","alias_value":"1306.0718v2","created_at":"2026-05-18T01:49:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.0718","created_at":"2026-05-18T01:49:33Z"},{"alias_kind":"pith_short_12","alias_value":"ARKAR7YRHMCD","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"ARKAR7YRHMCDYZIB","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"ARKAR7YR","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:834b90b69673e085f1f1c1e655ac982db7294f32f76600fc88fbf3418457a149","target":"graph","created_at":"2026-05-18T01:49:33Z","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":"Consistently constrained WZWN models on G/{S x U(1)^n} is given by constraining currents of the WZWN models with G. Poisson brackets are set up on the light-like plane. Using them we show the Virasoro algebra for the energy-momentum tensor of constrained WZWN models. We find a G-primary which satisfies a classical exchange algebra in an arbitrary representation of G. The G-primary and the constrained currents are also shown to obey the conformal transformation with respect to the energy-momentum tensor. It is checked that conformal weight of the constrained currents is 0. This is necessary for","authors_text":"Katsuyuki Ishii, Shogo Aoyama","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-04T10:06:24Z","title":"Constrained WZWN Models on G/{S x U(1)^n} and Exchange Algebra of G-Primaries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.0718","kind":"arxiv","version":2},"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:baa1ef6167ce7eb8ec97062106d9f22ab242b72e64e71a45db6deead7d2bbfaa","target":"record","created_at":"2026-05-18T01:49:33Z","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":"6f3933a4bbf3d6c639d9611178115cb747ff614f3f261c8290a4239873a2e130","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-04T10:06:24Z","title_canon_sha256":"2877c94c01367cc67f6dbb79360ff0b5812ef3924070c28f6a4aae9addec12bb"},"schema_version":"1.0","source":{"id":"1306.0718","kind":"arxiv","version":2}},"canonical_sha256":"045408ff113b043c6501a48da4aa799ab3fdcb884b743f538775840aaf083c25","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"045408ff113b043c6501a48da4aa799ab3fdcb884b743f538775840aaf083c25","first_computed_at":"2026-05-18T01:49:33.112175Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:49:33.112175Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hcAFqEY2EJZhvN0n3ayN6iGLLRMj3EJ1IZ7uJJ/c7GTpeIn1b1LwvYPkEMgZz95JxXfLQ0aO0tkpZDeB2x+vBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:49:33.112655Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.0718","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:baa1ef6167ce7eb8ec97062106d9f22ab242b72e64e71a45db6deead7d2bbfaa","sha256:834b90b69673e085f1f1c1e655ac982db7294f32f76600fc88fbf3418457a149"],"state_sha256":"df14f08477de3f957cb63a714709afed11239497d8be5b8cb21447fcf45384ee"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3qoSzgXHAmWBtWISLOiTt9edvajIIE1U4dk+tygts18BeJzp/DPnesW2RxPLyBSjLecKTJqc4vQ2q1rDD8MODA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T19:52:56.740953Z","bundle_sha256":"34d5227eed3b45e429f495b3c857a15c3aa78b396b0231f19a7825b53029a7e1"}}