{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1992:4L6NW5GLKYVMQG763EQ2YX2JP5","short_pith_number":"pith:4L6NW5GL","canonical_record":{"source":{"id":"hep-th/9209067","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1992-09-18T19:40:11Z","cross_cats_sorted":[],"title_canon_sha256":"eb687124e8f0221664f9333b24eb3a57ad28c7de3c393ca666523422225b3082","abstract_canon_sha256":"10082c1fea19af459fd656db0b0c5c4b81f391fc3271d1bed3ce2091c022c13e"},"schema_version":"1.0"},"canonical_sha256":"e2fcdb74cb562ac81bfed921ac5f497f4765039f85d8ffc64b17237599cc283c","source":{"kind":"arxiv","id":"hep-th/9209067","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9209067","created_at":"2026-07-04T14:32:27Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9209067v1","created_at":"2026-07-04T14:32:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9209067","created_at":"2026-07-04T14:32:27Z"},{"alias_kind":"pith_short_12","alias_value":"4L6NW5GLKYVM","created_at":"2026-07-04T14:32:27Z"},{"alias_kind":"pith_short_16","alias_value":"4L6NW5GLKYVMQG76","created_at":"2026-07-04T14:32:27Z"},{"alias_kind":"pith_short_8","alias_value":"4L6NW5GL","created_at":"2026-07-04T14:32:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1992:4L6NW5GLKYVMQG763EQ2YX2JP5","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9209067","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1992-09-18T19:40:11Z","cross_cats_sorted":[],"title_canon_sha256":"eb687124e8f0221664f9333b24eb3a57ad28c7de3c393ca666523422225b3082","abstract_canon_sha256":"10082c1fea19af459fd656db0b0c5c4b81f391fc3271d1bed3ce2091c022c13e"},"schema_version":"1.0"},"canonical_sha256":"e2fcdb74cb562ac81bfed921ac5f497f4765039f85d8ffc64b17237599cc283c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:32:27.120293Z","signature_b64":"WMywRZgAG96u1cZUtv1CdWOHVVnV7r1Eu1ZyT2wkJcttssKHU50fbPSfo+ghIYm/qkrQXVeYQs7N+zhqD/fyBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e2fcdb74cb562ac81bfed921ac5f497f4765039f85d8ffc64b17237599cc283c","last_reissued_at":"2026-07-04T14:32:27.119830Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:32:27.119830Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9209067","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":"2026-07-04T14:32:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+iP3kH59nsXymc9TyTKq46o1h/Jimsom1RqO+eNazLADwit1X7wTCajM8Nw5UyE9v6ron/Y5cARCAp+OuWOjBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T10:37:40.407961Z"},"content_sha256":"ab8fd3e961ad2b36ed760a5d7d414fffd929893edb14636d48600d4e9dc48adb","schema_version":"1.0","event_id":"sha256:ab8fd3e961ad2b36ed760a5d7d414fffd929893edb14636d48600d4e9dc48adb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1992:4L6NW5GLKYVMQG763EQ2YX2JP5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Note on Representations of the $w_\\infty$ Algebra","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"C.N. Pope, X.J. Wang","submitted_at":"1992-09-18T19:40:11Z","abstract_excerpt":"We explicitly demonstrate that the unitary representations of the $w_\\infty$ algebra and its truncations are just the unitary representations of the Virasoro algebra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9209067","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/9209067/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":"2026-07-04T14:32:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ApH2vBuBYzMiPPFXDJoHSzKZ2b02IMbimHZBo21NpJbLUkySYXiIhpDgLSw20gxi52zZdsx+rsQtD1RfHLBaDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T10:37:40.408848Z"},"content_sha256":"bcd4effd5a8fbf2134f10ca9af1dcb43e9f319d3fae532aa3c6d13c3c57bc1db","schema_version":"1.0","event_id":"sha256:bcd4effd5a8fbf2134f10ca9af1dcb43e9f319d3fae532aa3c6d13c3c57bc1db"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4L6NW5GLKYVMQG763EQ2YX2JP5/bundle.json","state_url":"https://pith.science/pith/4L6NW5GLKYVMQG763EQ2YX2JP5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4L6NW5GLKYVMQG763EQ2YX2JP5/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":"2026-08-05T10:37:40Z","links":{"resolver":"https://pith.science/pith/4L6NW5GLKYVMQG763EQ2YX2JP5","bundle":"https://pith.science/pith/4L6NW5GLKYVMQG763EQ2YX2JP5/bundle.json","state":"https://pith.science/pith/4L6NW5GLKYVMQG763EQ2YX2JP5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4L6NW5GLKYVMQG763EQ2YX2JP5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1992:4L6NW5GLKYVMQG763EQ2YX2JP5","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":"10082c1fea19af459fd656db0b0c5c4b81f391fc3271d1bed3ce2091c022c13e","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1992-09-18T19:40:11Z","title_canon_sha256":"eb687124e8f0221664f9333b24eb3a57ad28c7de3c393ca666523422225b3082"},"schema_version":"1.0","source":{"id":"hep-th/9209067","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9209067","created_at":"2026-07-04T14:32:27Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9209067v1","created_at":"2026-07-04T14:32:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9209067","created_at":"2026-07-04T14:32:27Z"},{"alias_kind":"pith_short_12","alias_value":"4L6NW5GLKYVM","created_at":"2026-07-04T14:32:27Z"},{"alias_kind":"pith_short_16","alias_value":"4L6NW5GLKYVMQG76","created_at":"2026-07-04T14:32:27Z"},{"alias_kind":"pith_short_8","alias_value":"4L6NW5GL","created_at":"2026-07-04T14:32:27Z"}],"graph_snapshots":[{"event_id":"sha256:bcd4effd5a8fbf2134f10ca9af1dcb43e9f319d3fae532aa3c6d13c3c57bc1db","target":"graph","created_at":"2026-07-04T14:32:27Z","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/9209067/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We explicitly demonstrate that the unitary representations of the $w_\\infty$ algebra and its truncations are just the unitary representations of the Virasoro algebra.","authors_text":"C.N. Pope, X.J. Wang","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1992-09-18T19:40:11Z","title":"A Note on Representations of the $w_\\infty$ Algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9209067","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:ab8fd3e961ad2b36ed760a5d7d414fffd929893edb14636d48600d4e9dc48adb","target":"record","created_at":"2026-07-04T14:32:27Z","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":"10082c1fea19af459fd656db0b0c5c4b81f391fc3271d1bed3ce2091c022c13e","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1992-09-18T19:40:11Z","title_canon_sha256":"eb687124e8f0221664f9333b24eb3a57ad28c7de3c393ca666523422225b3082"},"schema_version":"1.0","source":{"id":"hep-th/9209067","kind":"arxiv","version":1}},"canonical_sha256":"e2fcdb74cb562ac81bfed921ac5f497f4765039f85d8ffc64b17237599cc283c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e2fcdb74cb562ac81bfed921ac5f497f4765039f85d8ffc64b17237599cc283c","first_computed_at":"2026-07-04T14:32:27.119830Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:32:27.119830Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WMywRZgAG96u1cZUtv1CdWOHVVnV7r1Eu1ZyT2wkJcttssKHU50fbPSfo+ghIYm/qkrQXVeYQs7N+zhqD/fyBA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:32:27.120293Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9209067","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab8fd3e961ad2b36ed760a5d7d414fffd929893edb14636d48600d4e9dc48adb","sha256:bcd4effd5a8fbf2134f10ca9af1dcb43e9f319d3fae532aa3c6d13c3c57bc1db"],"state_sha256":"fd2dd4204d3fa699dda0407f0c50caf69038adf17c74d3be624fa96b15249123"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QavwKV6qu1v6ZAsKrBu3/IF2LNcFGwkMt7tFzaRbPGy5Y0XjH1VSE1QCG+kpP+YYwx61K/7hl0gRnN7nq6G8DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T10:37:40.414145Z","bundle_sha256":"dfed41f23684cd6ebd66909653f9ccf41d734a7442302442d84ecdee40d289ee"}}