{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:4FPXLIPWVK4BXWOLDPM5ANMVLN","short_pith_number":"pith:4FPXLIPW","canonical_record":{"source":{"id":"hep-th/9910112","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1999-10-15T08:12:01Z","cross_cats_sorted":["math-ph","math.MP","math.QA"],"title_canon_sha256":"53283910d8e8dac14fddba77214142902becbf31f3fda23074473d59b951064a","abstract_canon_sha256":"2bb5e9ebeb520647127659e7ccb70c81d0ec7a49649a3dac542e48573df343c0"},"schema_version":"1.0"},"canonical_sha256":"e15f75a1f6aab81bd9cb1bd9d035955b66c96cc8fcfb46b71fba047c986ee071","source":{"kind":"arxiv","id":"hep-th/9910112","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9910112","created_at":"2026-07-04T15:21:00Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9910112v1","created_at":"2026-07-04T15:21:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9910112","created_at":"2026-07-04T15:21:00Z"},{"alias_kind":"pith_short_12","alias_value":"4FPXLIPWVK4B","created_at":"2026-07-04T15:21:00Z"},{"alias_kind":"pith_short_16","alias_value":"4FPXLIPWVK4BXWOL","created_at":"2026-07-04T15:21:00Z"},{"alias_kind":"pith_short_8","alias_value":"4FPXLIPW","created_at":"2026-07-04T15:21:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:4FPXLIPWVK4BXWOLDPM5ANMVLN","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9910112","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1999-10-15T08:12:01Z","cross_cats_sorted":["math-ph","math.MP","math.QA"],"title_canon_sha256":"53283910d8e8dac14fddba77214142902becbf31f3fda23074473d59b951064a","abstract_canon_sha256":"2bb5e9ebeb520647127659e7ccb70c81d0ec7a49649a3dac542e48573df343c0"},"schema_version":"1.0"},"canonical_sha256":"e15f75a1f6aab81bd9cb1bd9d035955b66c96cc8fcfb46b71fba047c986ee071","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:21:00.818673Z","signature_b64":"bbSpFgvRDJMOF+Rl8I4/QWTVx6KeK0HjxrEuM5lx7Sa8xquG+8/4hTKjRlJS5V77L1pJahUUVdyDwL8TvhuIAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e15f75a1f6aab81bd9cb1bd9d035955b66c96cc8fcfb46b71fba047c986ee071","last_reissued_at":"2026-07-04T15:21:00.818235Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:21:00.818235Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9910112","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":"2026-07-04T15:21:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8ObITyGj9DGP7JZtxRzS3Xn+xMzl11TXhqA58bIt2Uum8YC5dKV1Iz1NUulwXhq0iz81IiXYoKHj/cigTZX1Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T12:40:47.021365Z"},"content_sha256":"d6d8bad41be6755731990417eb6fe7c706fae91fa2c03fee8c22050a1de7f01c","schema_version":"1.0","event_id":"sha256:d6d8bad41be6755731990417eb6fe7c706fae91fa2c03fee8c22050a1de7f01c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:4FPXLIPWVK4BXWOLDPM5ANMVLN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Classical Wakimoto Realizations of Chiral WZNW Bloch Waves","license":"","headline":"","cross_cats":["math-ph","math.MP","math.QA"],"primary_cat":"hep-th","authors_text":"J. Balog, L. Feher, L. Palla","submitted_at":"1999-10-15T08:12:01Z","abstract_excerpt":"It is well-known that the chiral WZNW Bloch waves satisfy a quadratic classical exchange algebra which implies the affine Kac-Moody algebra for the corresponding currents. We here obtain a direct derivation of the exchange algebra by inverting the symplectic form on the space of Bloch waves, and give a completely algorithmic construction of its generalized free field realizations that extend the classical Wakimoto realizations of the current algebra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9910112","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/hep-th/9910112/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":"2026-07-04T15:21:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dUKZmZmudnWMDCZvg3VHDIH0R6Cy085bW7Bzleh61xZU9H1TFDO5rZH3XBr+V6Fjkat9OWi3e7L8qWib5iYRCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T12:40:47.025907Z"},"content_sha256":"79c97f0feab93bd3eb831aaf7914afe70f2ef3f161960170b8abae73748d6b09","schema_version":"1.0","event_id":"sha256:79c97f0feab93bd3eb831aaf7914afe70f2ef3f161960170b8abae73748d6b09"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4FPXLIPWVK4BXWOLDPM5ANMVLN/bundle.json","state_url":"https://pith.science/pith/4FPXLIPWVK4BXWOLDPM5ANMVLN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4FPXLIPWVK4BXWOLDPM5ANMVLN/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":"2026-08-07T12:40:47Z","links":{"resolver":"https://pith.science/pith/4FPXLIPWVK4BXWOLDPM5ANMVLN","bundle":"https://pith.science/pith/4FPXLIPWVK4BXWOLDPM5ANMVLN/bundle.json","state":"https://pith.science/pith/4FPXLIPWVK4BXWOLDPM5ANMVLN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4FPXLIPWVK4BXWOLDPM5ANMVLN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:4FPXLIPWVK4BXWOLDPM5ANMVLN","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":"2bb5e9ebeb520647127659e7ccb70c81d0ec7a49649a3dac542e48573df343c0","cross_cats_sorted":["math-ph","math.MP","math.QA"],"license":"","primary_cat":"hep-th","submitted_at":"1999-10-15T08:12:01Z","title_canon_sha256":"53283910d8e8dac14fddba77214142902becbf31f3fda23074473d59b951064a"},"schema_version":"1.0","source":{"id":"hep-th/9910112","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9910112","created_at":"2026-07-04T15:21:00Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9910112v1","created_at":"2026-07-04T15:21:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9910112","created_at":"2026-07-04T15:21:00Z"},{"alias_kind":"pith_short_12","alias_value":"4FPXLIPWVK4B","created_at":"2026-07-04T15:21:00Z"},{"alias_kind":"pith_short_16","alias_value":"4FPXLIPWVK4BXWOL","created_at":"2026-07-04T15:21:00Z"},{"alias_kind":"pith_short_8","alias_value":"4FPXLIPW","created_at":"2026-07-04T15:21:00Z"}],"graph_snapshots":[{"event_id":"sha256:79c97f0feab93bd3eb831aaf7914afe70f2ef3f161960170b8abae73748d6b09","target":"graph","created_at":"2026-07-04T15:21:00Z","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/hep-th/9910112/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"It is well-known that the chiral WZNW Bloch waves satisfy a quadratic classical exchange algebra which implies the affine Kac-Moody algebra for the corresponding currents. We here obtain a direct derivation of the exchange algebra by inverting the symplectic form on the space of Bloch waves, and give a completely algorithmic construction of its generalized free field realizations that extend the classical Wakimoto realizations of the current algebra.","authors_text":"J. Balog, L. Feher, L. Palla","cross_cats":["math-ph","math.MP","math.QA"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1999-10-15T08:12:01Z","title":"Classical Wakimoto Realizations of Chiral WZNW Bloch Waves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9910112","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:d6d8bad41be6755731990417eb6fe7c706fae91fa2c03fee8c22050a1de7f01c","target":"record","created_at":"2026-07-04T15:21:00Z","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":"2bb5e9ebeb520647127659e7ccb70c81d0ec7a49649a3dac542e48573df343c0","cross_cats_sorted":["math-ph","math.MP","math.QA"],"license":"","primary_cat":"hep-th","submitted_at":"1999-10-15T08:12:01Z","title_canon_sha256":"53283910d8e8dac14fddba77214142902becbf31f3fda23074473d59b951064a"},"schema_version":"1.0","source":{"id":"hep-th/9910112","kind":"arxiv","version":1}},"canonical_sha256":"e15f75a1f6aab81bd9cb1bd9d035955b66c96cc8fcfb46b71fba047c986ee071","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e15f75a1f6aab81bd9cb1bd9d035955b66c96cc8fcfb46b71fba047c986ee071","first_computed_at":"2026-07-04T15:21:00.818235Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:21:00.818235Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bbSpFgvRDJMOF+Rl8I4/QWTVx6KeK0HjxrEuM5lx7Sa8xquG+8/4hTKjRlJS5V77L1pJahUUVdyDwL8TvhuIAw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:21:00.818673Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9910112","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d6d8bad41be6755731990417eb6fe7c706fae91fa2c03fee8c22050a1de7f01c","sha256:79c97f0feab93bd3eb831aaf7914afe70f2ef3f161960170b8abae73748d6b09"],"state_sha256":"9f3a4d90ad6a20b6a19d93eafcf94fd5aafec5da7ae36035de15e4c8c9204463"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4SlvxMAw/rz/tXH52UUp6G1Z0w/RyPQ8fq88vqUAC7Y8AuumlViS+0gftZijcFSVVUnZ4AK7GP5kkrWTVb/oAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T12:40:47.043274Z","bundle_sha256":"c66fe2a11cdac104c004c5a50b3d281d73c6e0b573890a1a71ca97c5d3d8d01d"}}