{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:LTJIV4BK3IAJUGXRPT3PR3HFV5","short_pith_number":"pith:LTJIV4BK","canonical_record":{"source":{"id":"1202.4467","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-02-20T21:09:47Z","cross_cats_sorted":[],"title_canon_sha256":"70925e020bd73e9a8c4b6d17392d47e838ec1d40d758fc250f46d087a652af4f","abstract_canon_sha256":"c35d99773540182996deb2fe1f26b1d311c37d53493185fa350c494cc256bb6d"},"schema_version":"1.0"},"canonical_sha256":"5cd28af02ada009a1af17cf6f8ece5af6db934fc141c8c7dc4b028057395254f","source":{"kind":"arxiv","id":"1202.4467","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.4467","created_at":"2026-05-18T03:49:45Z"},{"alias_kind":"arxiv_version","alias_value":"1202.4467v3","created_at":"2026-05-18T03:49:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.4467","created_at":"2026-05-18T03:49:45Z"},{"alias_kind":"pith_short_12","alias_value":"LTJIV4BK3IAJ","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LTJIV4BK3IAJUGXR","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LTJIV4BK","created_at":"2026-05-18T12:27:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:LTJIV4BK3IAJUGXRPT3PR3HFV5","target":"record","payload":{"canonical_record":{"source":{"id":"1202.4467","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-02-20T21:09:47Z","cross_cats_sorted":[],"title_canon_sha256":"70925e020bd73e9a8c4b6d17392d47e838ec1d40d758fc250f46d087a652af4f","abstract_canon_sha256":"c35d99773540182996deb2fe1f26b1d311c37d53493185fa350c494cc256bb6d"},"schema_version":"1.0"},"canonical_sha256":"5cd28af02ada009a1af17cf6f8ece5af6db934fc141c8c7dc4b028057395254f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:49:45.539064Z","signature_b64":"xnQLtsYOxY9ceT+gkQaORzTuzPxmSxOhOjAr6PXoLcV01NFJ/5Uasx4wJjpzP7phWbXiSDF2yKmE4utatneMAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5cd28af02ada009a1af17cf6f8ece5af6db934fc141c8c7dc4b028057395254f","last_reissued_at":"2026-05-18T03:49:45.538515Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:49:45.538515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.4467","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":"2026-05-18T03:49:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J9EgFNO46G3u9UyvBJ0OqqX0vhC+EW5wFarKoz8gjSbkacOiO34xa9dgC+P1bzqkHTgOoMpShVG5DUBmr6HFAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T18:18:15.693918Z"},"content_sha256":"68235dafdd6c85264b44ec6055ed9005e4489c5bcdc2adcf1617cabd04719ad5","schema_version":"1.0","event_id":"sha256:68235dafdd6c85264b44ec6055ed9005e4489c5bcdc2adcf1617cabd04719ad5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:LTJIV4BK3IAJUGXRPT3PR3HFV5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Unitarity Bounds in AdS_3 Higher Spin Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alejandra Castro, Arnaud Lepage-Jutier, Eliot Hijano","submitted_at":"2012-02-20T21:09:47Z","abstract_excerpt":"We study SL(N,R) Chern-Simons gauge theories in three dimensions. The choice of the embedding of SL(2,R) in SL(N,R), together with asymptotic boundary conditions, defines a theory of higher spin gravity. Each inequivalent embedding leads to a different asymptotic symmetry group, which we map to an OPE structure at the boundary. A simple inspection of these algebras indicates that only the W_N algebra constructed using the principal embedding could admit a unitary representation for large values of the central charge."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.4467","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":"2026-05-18T03:49:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qXHTFeDT81KyxiBW0YzyAk00lC/n1D+jjZWzjT6GsNARr7CsqpmO7gHYn+ynoq6Bl/4AQ50m1LbnBeMUjwyoBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T18:18:15.694640Z"},"content_sha256":"810c004722142bb6b7ba253157de0a110c8ec5e060e2fad5b49c69be28b348b7","schema_version":"1.0","event_id":"sha256:810c004722142bb6b7ba253157de0a110c8ec5e060e2fad5b49c69be28b348b7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LTJIV4BK3IAJUGXRPT3PR3HFV5/bundle.json","state_url":"https://pith.science/pith/LTJIV4BK3IAJUGXRPT3PR3HFV5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LTJIV4BK3IAJUGXRPT3PR3HFV5/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":"2026-05-31T18:18:15Z","links":{"resolver":"https://pith.science/pith/LTJIV4BK3IAJUGXRPT3PR3HFV5","bundle":"https://pith.science/pith/LTJIV4BK3IAJUGXRPT3PR3HFV5/bundle.json","state":"https://pith.science/pith/LTJIV4BK3IAJUGXRPT3PR3HFV5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LTJIV4BK3IAJUGXRPT3PR3HFV5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:LTJIV4BK3IAJUGXRPT3PR3HFV5","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":"c35d99773540182996deb2fe1f26b1d311c37d53493185fa350c494cc256bb6d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-02-20T21:09:47Z","title_canon_sha256":"70925e020bd73e9a8c4b6d17392d47e838ec1d40d758fc250f46d087a652af4f"},"schema_version":"1.0","source":{"id":"1202.4467","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.4467","created_at":"2026-05-18T03:49:45Z"},{"alias_kind":"arxiv_version","alias_value":"1202.4467v3","created_at":"2026-05-18T03:49:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.4467","created_at":"2026-05-18T03:49:45Z"},{"alias_kind":"pith_short_12","alias_value":"LTJIV4BK3IAJ","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LTJIV4BK3IAJUGXR","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LTJIV4BK","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:810c004722142bb6b7ba253157de0a110c8ec5e060e2fad5b49c69be28b348b7","target":"graph","created_at":"2026-05-18T03:49:45Z","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":"We study SL(N,R) Chern-Simons gauge theories in three dimensions. The choice of the embedding of SL(2,R) in SL(N,R), together with asymptotic boundary conditions, defines a theory of higher spin gravity. Each inequivalent embedding leads to a different asymptotic symmetry group, which we map to an OPE structure at the boundary. A simple inspection of these algebras indicates that only the W_N algebra constructed using the principal embedding could admit a unitary representation for large values of the central charge.","authors_text":"Alejandra Castro, Arnaud Lepage-Jutier, Eliot Hijano","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-02-20T21:09:47Z","title":"Unitarity Bounds in AdS_3 Higher Spin Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.4467","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":"sha256:68235dafdd6c85264b44ec6055ed9005e4489c5bcdc2adcf1617cabd04719ad5","target":"record","created_at":"2026-05-18T03:49:45Z","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":"c35d99773540182996deb2fe1f26b1d311c37d53493185fa350c494cc256bb6d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-02-20T21:09:47Z","title_canon_sha256":"70925e020bd73e9a8c4b6d17392d47e838ec1d40d758fc250f46d087a652af4f"},"schema_version":"1.0","source":{"id":"1202.4467","kind":"arxiv","version":3}},"canonical_sha256":"5cd28af02ada009a1af17cf6f8ece5af6db934fc141c8c7dc4b028057395254f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5cd28af02ada009a1af17cf6f8ece5af6db934fc141c8c7dc4b028057395254f","first_computed_at":"2026-05-18T03:49:45.538515Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:49:45.538515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xnQLtsYOxY9ceT+gkQaORzTuzPxmSxOhOjAr6PXoLcV01NFJ/5Uasx4wJjpzP7phWbXiSDF2yKmE4utatneMAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:49:45.539064Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.4467","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68235dafdd6c85264b44ec6055ed9005e4489c5bcdc2adcf1617cabd04719ad5","sha256:810c004722142bb6b7ba253157de0a110c8ec5e060e2fad5b49c69be28b348b7"],"state_sha256":"4c1cee8606852d551c7aff75925e7f6287da89bd7516d4b371bf301095d16c63"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XDy/uHE9IpUr5+GHObSCABb6RHTLTG19crsGJSO+D8RDZfE7Ss77q52/M6U6RrBVHbaHbYrh3242qJLEEm1kAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T18:18:15.698333Z","bundle_sha256":"d656269a197f1e9b3e6d4542392227edf1c377660eb7026660294a5766b6126d"}}